id	sid	tid	token	lemma	pos
ejge-4329	1	1	an	an	DET
ejge-4329	1	2	optimal	optimal	ADJ
ejge-4329	1	3	quantity	quantity	NOUN
ejge-4329	1	4	tax	tax	NOUN
ejge-4329	1	5	path	path	NOUN
ejge-4329	1	6	in	in	ADP
ejge-4329	1	7	a	a	DET
ejge-4329	1	8	dynamic	dynamic	ADJ
ejge-4329	1	9	setting	set	VERB
ejge-4329	1	10	european	european	ADJ
ejge-4329	1	11	journal	journal	NOUN
ejge-4329	1	12	of	of	ADP
ejge-4329	1	13	government	government	NOUN
ejge-4329	1	14	and	and	CCONJ
ejge-4329	1	15	economics	economic	NOUN
ejge-4329	1	16	6(2	6(2	NUM
ejge-4329	1	17	)	)	PUNCT
ejge-4329	1	18	,	,	PUNCT
ejge-4329	1	19	december	december	PROPN
ejge-4329	1	20	2017	2017	NUM
ejge-4329	1	21	,	,	PUNCT
ejge-4329	1	22	191	191	NUM
ejge-4329	1	23	-	-	SYM
ejge-4329	1	24	225	225	NUM
ejge-4329	1	25	.	.	PUNCT
ejge-4329	2	1	european	european	ADJ
ejge-4329	2	2	journal	journal	PROPN
ejge-4329	2	3	of	of	ADP
ejge-4329	2	4	government	government	NOUN
ejge-4329	2	5	and	and	CCONJ
ejge-4329	2	6	economics	economic	NOUN
ejge-4329	2	7	journal	journal	PROPN
ejge-4329	2	8	homepage	homepage	NOUN
ejge-4329	2	9	:	:	PUNCT
ejge-4329	2	10	www.ejge.org	www.ejge.org	PROPN
ejge-4329	2	11	issn	issn	PROPN
ejge-4329	2	12	:	:	PUNCT
ejge-4329	2	13	2254	2254	NUM
ejge-4329	2	14	-	-	SYM
ejge-4329	2	15	7088	7088	NUM
ejge-4329	2	16	an	an	DET
ejge-4329	2	17	optimal	optimal	ADJ
ejge-4329	2	18	quantity	quantity	NOUN
ejge-4329	2	19	tax	tax	NOUN
ejge-4329	2	20	path	path	NOUN
ejge-4329	2	21	in	in	ADP
ejge-4329	2	22	a	a	DET
ejge-4329	2	23	dynamic	dynamic	ADJ
ejge-4329	2	24	setting	setting	NOUN
ejge-4329	2	25	nasreen	nasreen	ADP
ejge-4329	2	26	nawaz	nawaz	NOUN
ejge-4329	2	27	a	a	DET
ejge-4329	2	28	,	,	PUNCT
ejge-4329	2	29	*	*	PUNCT
ejge-4329	2	30	a	a	DET
ejge-4329	2	31	department	department	NOUN
ejge-4329	2	32	of	of	ADP
ejge-4329	2	33	economics	economic	NOUN
ejge-4329	2	34	,	,	PUNCT
ejge-4329	2	35	michigan	michigan	PROPN
ejge-4329	2	36	state	state	PROPN
ejge-4329	2	37	university	university	PROPN
ejge-4329	2	38	,	,	PUNCT
ejge-4329	2	39	usa	usa	PROPN
ejge-4329	2	40	*	*	PUNCT
ejge-4329	2	41	corresponding	correspond	VERB
ejge-4329	2	42	author	author	NOUN
ejge-4329	2	43	at	at	ADP
ejge-4329	2	44	:	:	PUNCT
ejge-4329	2	45	department	department	NOUN
ejge-4329	2	46	of	of	ADP
ejge-4329	2	47	economics	economic	NOUN
ejge-4329	2	48	,	,	PUNCT
ejge-4329	2	49	michigan	michigan	PROPN
ejge-4329	2	50	state	state	PROPN
ejge-4329	2	51	university	university	PROPN
ejge-4329	2	52	,	,	PUNCT
ejge-4329	2	53	486	486	NUM
ejge-4329	2	54	w	w	PROPN
ejge-4329	2	55	circle	circle	PROPN
ejge-4329	2	56	dr	dr	PROPN
ejge-4329	2	57	,	,	PUNCT
ejge-4329	2	58	east	east	PROPN
ejge-4329	2	59	lansing	lansing	PROPN
ejge-4329	2	60	,	,	PUNCT
ejge-4329	2	61	mi	mi	PROPN
ejge-4329	2	62	48824	48824	NUM
ejge-4329	2	63	,	,	PUNCT
ejge-4329	2	64	u.s.a	u.s.a	PROPN
ejge-4329	2	65	.	.	PROPN
ejge-4329	2	66	email	email	NOUN
ejge-4329	2	67	:	:	PUNCT
ejge-4329	2	68	nawaznas@msu.edu	nawaznas@msu.edu	PROPN
ejge-4329	2	69	article	article	NOUN
ejge-4329	2	70	history	history	NOUN
ejge-4329	2	71	.	.	PUNCT
ejge-4329	3	1	received	receive	VERB
ejge-4329	3	2	6	6	NUM
ejge-4329	3	3	may	may	PROPN
ejge-4329	3	4	2017	2017	NUM
ejge-4329	3	5	;	;	PUNCT
ejge-4329	3	6	first	first	ADJ
ejge-4329	3	7	revision	revision	NOUN
ejge-4329	3	8	required	require	VERB
ejge-4329	3	9	30	30	NUM
ejge-4329	3	10	november	november	PROPN
ejge-4329	3	11	2017	2017	NUM
ejge-4329	3	12	;	;	PUNCT
ejge-4329	3	13	accepted	accept	VERB
ejge-4329	3	14	17	17	NUM
ejge-4329	3	15	december	december	PROPN
ejge-4329	3	16	2017	2017	NUM
ejge-4329	3	17	.	.	PUNCT
ejge-4329	4	1	abstract	abstract	ADJ
ejge-4329	4	2	.	.	PUNCT
ejge-4329	5	1	following	follow	VERB
ejge-4329	5	2	ramsey	ramsey	PROPN
ejge-4329	5	3	,	,	PUNCT
ejge-4329	5	4	the	the	DET
ejge-4329	5	5	existing	exist	VERB
ejge-4329	5	6	literature	literature	NOUN
ejge-4329	5	7	on	on	ADP
ejge-4329	5	8	optimal	optimal	ADJ
ejge-4329	5	9	quantity	quantity	NOUN
ejge-4329	5	10	taxation	taxation	NOUN
ejge-4329	5	11	only	only	ADV
ejge-4329	5	12	compares	compare	VERB
ejge-4329	5	13	the	the	DET
ejge-4329	5	14	pre	pre	NOUN
ejge-4329	5	15	and	and	CCONJ
ejge-4329	5	16	the	the	DET
ejge-4329	5	17	post	post	ADJ
ejge-4329	5	18	-	-	ADJ
ejge-4329	5	19	tax	tax	ADJ
ejge-4329	5	20	market	market	NOUN
ejge-4329	5	21	equilibriums	equilibrium	NOUN
ejge-4329	5	22	in	in	ADP
ejge-4329	5	23	order	order	NOUN
ejge-4329	5	24	to	to	PART
ejge-4329	5	25	account	account	VERB
ejge-4329	5	26	for	for	ADP
ejge-4329	5	27	the	the	DET
ejge-4329	5	28	efficiency	efficiency	NOUN
ejge-4329	5	29	losses	loss	NOUN
ejge-4329	5	30	.	.	PUNCT
ejge-4329	6	1	however	however	ADV
ejge-4329	6	2	,	,	PUNCT
ejge-4329	6	3	when	when	SCONJ
ejge-4329	6	4	the	the	DET
ejge-4329	6	5	government	government	NOUN
ejge-4329	6	6	imposes	impose	VERB
ejge-4329	6	7	a	a	DET
ejge-4329	6	8	quantity	quantity	NOUN
ejge-4329	6	9	tax	tax	NOUN
ejge-4329	6	10	on	on	ADP
ejge-4329	6	11	the	the	DET
ejge-4329	6	12	consumer	consumer	NOUN
ejge-4329	6	13	,	,	PUNCT
ejge-4329	6	14	the	the	DET
ejge-4329	6	15	buyer	buyer	NOUN
ejge-4329	6	16	’s	’s	PART
ejge-4329	6	17	price	price	NOUN
ejge-4329	6	18	jumps	jump	VERB
ejge-4329	6	19	to	to	ADP
ejge-4329	6	20	the	the	DET
ejge-4329	6	21	pre	pre	ADJ
ejge-4329	6	22	-	-	ADJ
ejge-4329	6	23	tax	tax	ADJ
ejge-4329	6	24	equilibrium	equilibrium	NOUN
ejge-4329	6	25	price	price	NOUN
ejge-4329	6	26	plus	plus	CCONJ
ejge-4329	6	27	the	the	DET
ejge-4329	6	28	amount	amount	NOUN
ejge-4329	6	29	of	of	ADP
ejge-4329	6	30	the	the	DET
ejge-4329	6	31	tax	tax	NOUN
ejge-4329	6	32	,	,	PUNCT
ejge-4329	6	33	and	and	CCONJ
ejge-4329	6	34	the	the	DET
ejge-4329	6	35	supply	supply	NOUN
ejge-4329	6	36	and	and	CCONJ
ejge-4329	6	37	the	the	DET
ejge-4329	6	38	demand	demand	NOUN
ejge-4329	6	39	of	of	ADP
ejge-4329	6	40	the	the	DET
ejge-4329	6	41	taxed	tax	VERB
ejge-4329	6	42	commodity	commodity	NOUN
ejge-4329	6	43	then	then	ADV
ejge-4329	6	44	adjust	adjust	VERB
ejge-4329	6	45	over	over	ADP
ejge-4329	6	46	time	time	NOUN
ejge-4329	6	47	to	to	PART
ejge-4329	6	48	bring	bring	VERB
ejge-4329	6	49	the	the	DET
ejge-4329	6	50	new	new	ADJ
ejge-4329	6	51	post	post	ADJ
ejge-4329	6	52	-	-	ADJ
ejge-4329	6	53	tax	tax	ADJ
ejge-4329	6	54	market	market	NOUN
ejge-4329	6	55	equilibrium	equilibrium	NOUN
ejge-4329	6	56	.	.	PUNCT
ejge-4329	7	1	the	the	DET
ejge-4329	7	2	existing	exist	VERB
ejge-4329	7	3	literature	literature	NOUN
ejge-4329	7	4	does	do	AUX
ejge-4329	7	5	not	not	PART
ejge-4329	7	6	take	take	VERB
ejge-4329	7	7	into	into	ADP
ejge-4329	7	8	account	account	NOUN
ejge-4329	7	9	the	the	DET
ejge-4329	7	10	efficiency	efficiency	NOUN
ejge-4329	7	11	losses	loss	NOUN
ejge-4329	7	12	during	during	ADP
ejge-4329	7	13	the	the	DET
ejge-4329	7	14	adjustment	adjustment	NOUN
ejge-4329	7	15	process	process	NOUN
ejge-4329	7	16	while	while	SCONJ
ejge-4329	7	17	computing	compute	VERB
ejge-4329	7	18	the	the	DET
ejge-4329	7	19	optimal	optimal	ADJ
ejge-4329	7	20	quantity	quantity	NOUN
ejge-4329	7	21	taxes	taxis	NOUN
ejge-4329	7	22	.	.	PUNCT
ejge-4329	8	1	this	this	DET
ejge-4329	8	2	paper	paper	NOUN
ejge-4329	8	3	derives	derive	VERB
ejge-4329	8	4	an	an	DET
ejge-4329	8	5	optimal	optimal	ADJ
ejge-4329	8	6	quantity	quantity	NOUN
ejge-4329	8	7	tax	tax	NOUN
ejge-4329	8	8	path	path	NOUN
ejge-4329	8	9	in	in	ADP
ejge-4329	8	10	a	a	DET
ejge-4329	8	11	dynamic	dynamic	ADJ
ejge-4329	8	12	setting	setting	NOUN
ejge-4329	8	13	minimizing	minimize	VERB
ejge-4329	8	14	the	the	DET
ejge-4329	8	15	efficiency	efficiency	NOUN
ejge-4329	8	16	losses	loss	NOUN
ejge-4329	8	17	(	(	PUNCT
ejge-4329	8	18	output	output	NOUN
ejge-4329	8	19	and/	and/	NOUN
ejge-4329	8	20	or	or	CCONJ
ejge-4329	8	21	consumption	consumption	NOUN
ejge-4329	8	22	lost	lose	VERB
ejge-4329	8	23	)	)	PUNCT
ejge-4329	8	24	during	during	ADP
ejge-4329	8	25	the	the	DET
ejge-4329	8	26	dynamic	dynamic	ADJ
ejge-4329	8	27	adjustment	adjustment	NOUN
ejge-4329	8	28	process	process	NOUN
ejge-4329	8	29	as	as	ADV
ejge-4329	8	30	well	well	ADV
ejge-4329	8	31	as	as	ADP
ejge-4329	8	32	the	the	DET
ejge-4329	8	33	post	post	ADJ
ejge-4329	8	34	-	-	ADJ
ejge-4329	8	35	tax	tax	ADJ
ejge-4329	8	36	market	market	NOUN
ejge-4329	8	37	equilibrium	equilibrium	NOUN
ejge-4329	8	38	.	.	PUNCT
ejge-4329	9	1	keywords	keyword	NOUN
ejge-4329	9	2	.	.	PUNCT
ejge-4329	10	1	quantity	quantity	NOUN
ejge-4329	10	2	tax	tax	NOUN
ejge-4329	10	3	;	;	PUNCT
ejge-4329	10	4	dynamic	dynamic	ADJ
ejge-4329	10	5	efficiency	efficiency	NOUN
ejge-4329	10	6	;	;	PUNCT
ejge-4329	10	7	adjustment	adjustment	NOUN
ejge-4329	10	8	path	path	NOUN
ejge-4329	10	9	;	;	PUNCT
ejge-4329	10	10	equilibrium	equilibrium	NOUN
ejge-4329	10	11	jel	jel	PROPN
ejge-4329	10	12	classification	classification	PROPN
ejge-4329	10	13	.	.	PUNCT
ejge-4329	11	1	h20	h20	PROPN
ejge-4329	11	2	;	;	PUNCT
ejge-4329	11	3	h21	h21	NOUN
ejge-4329	11	4	;	;	PUNCT
ejge-4329	11	5	h22	h22	PROPN
ejge-4329	11	6	1	1	NUM
ejge-4329	11	7	.	.	PUNCT
ejge-4329	12	1	introduction	introduction	NOUN
ejge-4329	12	2	optimal	optimal	ADJ
ejge-4329	12	3	taxation	taxation	NOUN
ejge-4329	12	4	in	in	ADP
ejge-4329	12	5	theory	theory	NOUN
ejge-4329	12	6	is	be	AUX
ejge-4329	12	7	the	the	DET
ejge-4329	12	8	design	design	NOUN
ejge-4329	12	9	of	of	ADP
ejge-4329	12	10	a	a	DET
ejge-4329	12	11	tax	tax	NOUN
ejge-4329	12	12	that	that	PRON
ejge-4329	12	13	minimizes	minimize	VERB
ejge-4329	12	14	inefficiency	inefficiency	NOUN
ejge-4329	12	15	and	and	CCONJ
ejge-4329	12	16	distortion	distortion	NOUN
ejge-4329	12	17	due	due	ADJ
ejge-4329	12	18	to	to	ADP
ejge-4329	12	19	deviation	deviation	NOUN
ejge-4329	12	20	from	from	ADP
ejge-4329	12	21	the	the	DET
ejge-4329	12	22	pre	pre	ADJ
ejge-4329	12	23	-	-	ADJ
ejge-4329	12	24	tax	tax	ADJ
ejge-4329	12	25	efficient	efficient	ADJ
ejge-4329	12	26	market	market	NOUN
ejge-4329	12	27	equilibrium	equilibrium	NOUN
ejge-4329	12	28	under	under	ADP
ejge-4329	12	29	given	give	VERB
ejge-4329	12	30	economic	economic	ADJ
ejge-4329	12	31	constraints	constraint	NOUN
ejge-4329	12	32	.	.	PUNCT
ejge-4329	13	1	ramsey	ramsey	PROPN
ejge-4329	13	2	(	(	PUNCT
ejge-4329	13	3	1927	1927	NUM
ejge-4329	13	4	)	)	PUNCT
ejge-4329	13	5	was	be	AUX
ejge-4329	13	6	the	the	DET
ejge-4329	13	7	first	first	ADJ
ejge-4329	13	8	to	to	PART
ejge-4329	13	9	make	make	VERB
ejge-4329	13	10	a	a	DET
ejge-4329	13	11	significant	significant	ADJ
ejge-4329	13	12	contribution	contribution	NOUN
ejge-4329	13	13	to	to	ADP
ejge-4329	13	14	the	the	DET
ejge-4329	13	15	theory	theory	NOUN
ejge-4329	13	16	of	of	ADP
ejge-4329	13	17	optimal	optimal	ADJ
ejge-4329	13	18	taxation	taxation	NOUN
ejge-4329	13	19	from	from	ADP
ejge-4329	13	20	an	an	DET
ejge-4329	13	21	economic	economic	ADJ
ejge-4329	13	22	standpoint	standpoint	NOUN
ejge-4329	13	23	.	.	PUNCT
ejge-4329	14	1	he	he	PRON
ejge-4329	14	2	developed	develop	VERB
ejge-4329	14	3	a	a	DET
ejge-4329	14	4	theory	theory	NOUN
ejge-4329	14	5	for	for	ADP
ejge-4329	14	6	optimal	optimal	ADJ
ejge-4329	14	7	commodity	commodity	NOUN
ejge-4329	14	8	taxes	taxis	NOUN
ejge-4329	14	9	and	and	CCONJ
ejge-4329	14	10	proposed	propose	VERB
ejge-4329	14	11	a	a	DET
ejge-4329	14	12	theoretical	theoretical	ADJ
ejge-4329	14	13	solution	solution	NOUN
ejge-4329	14	14	that	that	PRON
ejge-4329	14	15	consumption	consumption	NOUN
ejge-4329	14	16	tax	tax	NOUN
ejge-4329	14	17	on	on	ADP
ejge-4329	14	18	each	each	DET
ejge-4329	14	19	good	good	NOUN
ejge-4329	14	20	should	should	AUX
ejge-4329	14	21	be	be	AUX
ejge-4329	14	22	"	"	PUNCT
ejge-4329	14	23	proportional	proportional	ADJ
ejge-4329	14	24	to	to	ADP
ejge-4329	14	25	the	the	DET
ejge-4329	14	26	sum	sum	NOUN
ejge-4329	14	27	of	of	ADP
ejge-4329	14	28	the	the	DET
ejge-4329	14	29	reciprocals	reciprocal	NOUN
ejge-4329	14	30	of	of	ADP
ejge-4329	14	31	its	its	PRON
ejge-4329	14	32	supply	supply	NOUN
ejge-4329	14	33	and	and	CCONJ
ejge-4329	14	34	demand	demand	NOUN
ejge-4329	14	35	elasticities	elasticity	NOUN
ejge-4329	14	36	"	"	PUNCT
ejge-4329	14	37	.	.	PUNCT
ejge-4329	15	1	diamond	diamond	NOUN
ejge-4329	15	2	and	and	CCONJ
ejge-4329	15	3	mirrlees	mirrlee	NOUN
ejge-4329	15	4	(	(	PUNCT
ejge-4329	15	5	1971	1971	NUM
ejge-4329	15	6	)	)	PUNCT
ejge-4329	15	7	consider	consider	VERB
ejge-4329	15	8	commodity	commodity	NOUN
ejge-4329	15	9	taxation	taxation	NOUN
ejge-4329	15	10	along	along	ADP
ejge-4329	15	11	with	with	ADP
ejge-4329	15	12	the	the	DET
ejge-4329	15	13	other	other	ADJ
ejge-4329	15	14	kinds	kind	NOUN
ejge-4329	15	15	of	of	ADP
ejge-4329	15	16	taxes	taxis	NOUN
ejge-4329	15	17	.	.	PUNCT
ejge-4329	16	1	mirrless	mirrless	PROPN
ejge-4329	16	2	(	(	PUNCT
ejge-4329	16	3	1975	1975	NUM
ejge-4329	16	4	)	)	PUNCT
ejge-4329	16	5	modified	modify	VERB
ejge-4329	16	6	the	the	DET
ejge-4329	16	7	standard	standard	ADJ
ejge-4329	16	8	problem	problem	NOUN
ejge-4329	16	9	by	by	ADP
ejge-4329	16	10	considering	consider	VERB
ejge-4329	16	11	simultaneously	simultaneously	ADV
ejge-4329	16	12	excise	excise	VERB
ejge-4329	16	13	taxes	taxis	NOUN
ejge-4329	16	14	and	and	CCONJ
ejge-4329	16	15	a	a	DET
ejge-4329	16	16	poll	poll	NOUN
ejge-4329	16	17	tax	tax	NOUN
ejge-4329	16	18	.	.	PUNCT
ejge-4329	17	1	diamond	diamond	NOUN
ejge-4329	17	2	(	(	PUNCT
ejge-4329	17	3	1975	1975	NUM
ejge-4329	17	4	)	)	PUNCT
ejge-4329	17	5	examines	examine	VERB
ejge-4329	17	6	the	the	DET
ejge-4329	17	7	ramsey	ramsey	PROPN
ejge-4329	17	8	rule	rule	NOUN
ejge-4329	17	9	for	for	ADP
ejge-4329	17	10	a	a	DET
ejge-4329	17	11	many	many	ADJ
ejge-4329	17	12	-	-	PUNCT
ejge-4329	17	13	person	person	NOUN
ejge-4329	17	14	economy	economy	NOUN
ejge-4329	17	15	with	with	ADP
ejge-4329	17	16	excise	excise	NOUN
ejge-4329	17	17	taxes	taxis	NOUN
ejge-4329	17	18	and	and	CCONJ
ejge-4329	17	19	a	a	DET
ejge-4329	17	20	poll	poll	NOUN
ejge-4329	17	21	tax	tax	NOUN
ejge-4329	17	22	.	.	PUNCT
ejge-4329	18	1	atkinson	atkinson	PROPN
ejge-4329	18	2	and	and	CCONJ
ejge-4329	18	3	stiglitz	stiglitz	PROPN
ejge-4329	18	4	(	(	PUNCT
ejge-4329	18	5	1976	1976	NUM
ejge-4329	18	6	)	)	PUNCT
ejge-4329	18	7	show	show	VERB
ejge-4329	18	8	that	that	SCONJ
ejge-4329	18	9	with	with	ADP
ejge-4329	18	10	an	an	DET
ejge-4329	18	11	optimal	optimal	ADJ
ejge-4329	18	12	nonlinear	nonlinear	ADJ
ejge-4329	18	13	income	income	NOUN
ejge-4329	18	14	tax	tax	NOUN
ejge-4329	18	15	,	,	PUNCT
ejge-4329	18	16	discriminatory	discriminatory	ADJ
ejge-4329	18	17	commodity	commodity	NOUN
ejge-4329	18	18	taxes	taxis	NOUN
ejge-4329	18	19	are	be	AUX
ejge-4329	18	20	only	only	ADV
ejge-4329	18	21	necessary	necessary	ADJ
ejge-4329	18	22	to	to	ADP
ejge-4329	18	23	the	the	DET
ejge-4329	18	24	extent	extent	NOUN
ejge-4329	18	25	that	that	SCONJ
ejge-4329	18	26	individual	individual	ADJ
ejge-4329	18	27	commodities	commodity	NOUN
ejge-4329	18	28	are	be	AUX
ejge-4329	18	29	not	not	PART
ejge-4329	18	30	weakly	weakly	ADV
ejge-4329	18	31	separable	separable	ADJ
ejge-4329	18	32	from	from	ADP
ejge-4329	18	33	leisure	leisure	NOUN
ejge-4329	18	34	.	.	PUNCT
ejge-4329	19	1	in	in	ADP
ejge-4329	19	2	deaton	deaton	PROPN
ejge-4329	19	3	(	(	PUNCT
ejge-4329	19	4	1981	1981	NUM
ejge-4329	19	5	)	)	PUNCT
ejge-4329	19	6	,	,	PUNCT
ejge-4329	19	7	rules	rule	NOUN
ejge-4329	19	8	for	for	ADP
ejge-4329	19	9	optimal	optimal	ADJ
ejge-4329	19	10	differential	differential	ADJ
ejge-4329	19	11	commodity	commodity	NOUN
ejge-4329	19	12	taxes	taxis	NOUN
ejge-4329	19	13	have	have	AUX
ejge-4329	19	14	been	be	AUX
ejge-4329	19	15	derived	derive	VERB
ejge-4329	19	16	for	for	ADP
ejge-4329	19	17	the	the	DET
ejge-4329	19	18	three	three	NUM
ejge-4329	19	19	different	different	ADJ
ejge-4329	19	20	cases	case	NOUN
ejge-4329	19	21	usually	usually	ADV
ejge-4329	19	22	studied	study	VERB
ejge-4329	19	23	in	in	ADP
ejge-4329	19	24	the	the	DET
ejge-4329	19	25	literature	literature	NOUN
ejge-4329	19	26	:	:	PUNCT
ejge-4329	19	27	the	the	DET
ejge-4329	19	28	one	one	NUM
ejge-4329	19	29	consumer	consumer	NOUN
ejge-4329	19	30	economy	economy	NOUN
ejge-4329	19	31	,	,	PUNCT
ejge-4329	19	32	the	the	DET
ejge-4329	19	33	unidimensional	unidimensional	ADJ
ejge-4329	19	34	continuum	continuum	NOUN
ejge-4329	19	35	of	of	ADP
ejge-4329	19	36	consumers	consumer	NOUN
ejge-4329	19	37	economy	economy	NOUN
ejge-4329	19	38	,	,	PUNCT
ejge-4329	19	39	and	and	CCONJ
ejge-4329	19	40	the	the	DET
ejge-4329	19	41	finite	finite	ADJ
ejge-4329	19	42	number	number	NOUN
ejge-4329	19	43	of	of	ADP
ejge-4329	19	44	discrete	discrete	ADJ
ejge-4329	19	45	consumers	consumer	NOUN
ejge-4329	19	46	economy	economy	NOUN
ejge-4329	19	47	.	.	PUNCT
ejge-4329	20	1	lucas	lucas	PROPN
ejge-4329	20	2	and	and	CCONJ
ejge-4329	20	3	stokey	stokey	ADJ
ejge-4329	20	4	(	(	PUNCT
ejge-4329	20	5	1983	1983	NUM
ejge-4329	20	6	)	)	PUNCT
ejge-4329	20	7	derive	derive	VERB
ejge-4329	20	8	a	a	DET
ejge-4329	20	9	time	time	NOUN
ejge-4329	20	10	consistent	consistent	ADJ
ejge-4329	20	11	optimal	optimal	ADJ
ejge-4329	20	12	fiscal	fiscal	ADJ
ejge-4329	20	13	policy	policy	NOUN
ejge-4329	20	14	in	in	ADP
ejge-4329	20	15	an	an	DET
ejge-4329	20	16	economy	economy	NOUN
ejge-4329	20	17	without	without	ADP
ejge-4329	20	18	capital	capital	NOUN
ejge-4329	20	19	http://www.ejge.org/	http://www.ejge.org/	ADV
ejge-4329	20	20	mailto:nawaznas@msu.edu	mailto:nawaznas@msu.edu	VERB
ejge-4329	20	21	192	192	NUM
ejge-4329	20	22	n.	n.	NOUN
ejge-4329	20	23	nawaz	nawaz	ADJ
ejge-4329	20	24	/	/	SYM
ejge-4329	20	25	european	european	ADJ
ejge-4329	20	26	journal	journal	PROPN
ejge-4329	20	27	of	of	ADP
ejge-4329	20	28	government	government	NOUN
ejge-4329	20	29	and	and	CCONJ
ejge-4329	20	30	economics	economic	NOUN
ejge-4329	20	31	6(2	6(2	NUM
ejge-4329	20	32	)	)	PUNCT
ejge-4329	20	33	,	,	PUNCT
ejge-4329	20	34	191	191	NUM
ejge-4329	20	35	-	-	SYM
ejge-4329	20	36	225	225	NUM
ejge-4329	20	37	maximizing	maximize	VERB
ejge-4329	20	38	the	the	DET
ejge-4329	20	39	consumer	consumer	NOUN
ejge-4329	20	40	welfare	welfare	NOUN
ejge-4329	20	41	subject	subject	ADJ
ejge-4329	20	42	to	to	ADP
ejge-4329	20	43	the	the	DET
ejge-4329	20	44	condition	condition	NOUN
ejge-4329	20	45	that	that	SCONJ
ejge-4329	20	46	a	a	DET
ejge-4329	20	47	competitive	competitive	ADJ
ejge-4329	20	48	equilibrium	equilibrium	NOUN
ejge-4329	20	49	holds	hold	VERB
ejge-4329	20	50	in	in	ADP
ejge-4329	20	51	each	each	DET
ejge-4329	20	52	time	time	NOUN
ejge-4329	20	53	period	period	NOUN
ejge-4329	20	54	.	.	PUNCT
ejge-4329	21	1	in	in	ADP
ejge-4329	21	2	judd	judd	PROPN
ejge-4329	21	3	(	(	PUNCT
ejge-4329	21	4	1985	1985	NUM
ejge-4329	21	5	)	)	PUNCT
ejge-4329	21	6	,	,	PUNCT
ejge-4329	21	7	the	the	DET
ejge-4329	21	8	government	government	NOUN
ejge-4329	21	9	taxes	tax	VERB
ejge-4329	21	10	capital	capital	NOUN
ejge-4329	21	11	income	income	NOUN
ejge-4329	21	12	net	net	NOUN
ejge-4329	21	13	of	of	ADP
ejge-4329	21	14	depreciation	depreciation	NOUN
ejge-4329	21	15	at	at	ADP
ejge-4329	21	16	a	a	DET
ejge-4329	21	17	proportional	proportional	ADJ
ejge-4329	21	18	rate	rate	NOUN
ejge-4329	21	19	,	,	PUNCT
ejge-4329	21	20	which	which	PRON
ejge-4329	21	21	is	be	AUX
ejge-4329	21	22	assumed	assume	VERB
ejge-4329	21	23	to	to	PART
ejge-4329	21	24	be	be	AUX
ejge-4329	21	25	constant	constant	ADJ
ejge-4329	21	26	.	.	PUNCT
ejge-4329	22	1	chamley	chamley	NOUN
ejge-4329	22	2	(	(	PUNCT
ejge-4329	22	3	1986	1986	NUM
ejge-4329	22	4	)	)	PUNCT
ejge-4329	22	5	analyzes	analyze	VERB
ejge-4329	22	6	the	the	DET
ejge-4329	22	7	optimal	optimal	ADJ
ejge-4329	22	8	tax	tax	NOUN
ejge-4329	22	9	on	on	ADP
ejge-4329	22	10	capital	capital	NOUN
ejge-4329	22	11	income	income	NOUN
ejge-4329	22	12	in	in	ADP
ejge-4329	22	13	general	general	ADJ
ejge-4329	22	14	equilibrium	equilibrium	NOUN
ejge-4329	22	15	models	model	NOUN
ejge-4329	22	16	of	of	ADP
ejge-4329	22	17	the	the	DET
ejge-4329	22	18	second	second	ADJ
ejge-4329	22	19	best	good	ADJ
ejge-4329	22	20	.	.	PUNCT
ejge-4329	23	1	deaton	deaton	PROPN
ejge-4329	23	2	and	and	CCONJ
ejge-4329	23	3	stern	stern	ADJ
ejge-4329	23	4	(	(	PUNCT
ejge-4329	23	5	1986	1986	NUM
ejge-4329	23	6	)	)	PUNCT
ejge-4329	23	7	show	show	VERB
ejge-4329	23	8	that	that	SCONJ
ejge-4329	23	9	optimal	optimal	ADJ
ejge-4329	23	10	commodity	commodity	NOUN
ejge-4329	23	11	taxes	taxis	NOUN
ejge-4329	23	12	for	for	ADP
ejge-4329	23	13	an	an	DET
ejge-4329	23	14	economy	economy	NOUN
ejge-4329	23	15	with	with	ADP
ejge-4329	23	16	many	many	ADJ
ejge-4329	23	17	households	household	NOUN
ejge-4329	23	18	should	should	AUX
ejge-4329	23	19	be	be	AUX
ejge-4329	23	20	at	at	ADP
ejge-4329	23	21	a	a	DET
ejge-4329	23	22	uniform	uniform	ADJ
ejge-4329	23	23	proportional	proportional	ADJ
ejge-4329	23	24	rate	rate	NOUN
ejge-4329	23	25	under	under	ADP
ejge-4329	23	26	certain	certain	ADJ
ejge-4329	23	27	conditions	condition	NOUN
ejge-4329	23	28	.	.	PUNCT
ejge-4329	24	1	cremer	cremer	PROPN
ejge-4329	24	2	and	and	CCONJ
ejge-4329	24	3	gahvari	gahvari	ADJ
ejge-4329	24	4	(	(	PUNCT
ejge-4329	24	5	1993	1993	NUM
ejge-4329	24	6	)	)	PUNCT
ejge-4329	24	7	incorporate	incorporate	VERB
ejge-4329	24	8	tax	tax	NOUN
ejge-4329	24	9	evasion	evasion	NOUN
ejge-4329	24	10	into	into	ADP
ejge-4329	24	11	ramsey	ramsey	PROPN
ejge-4329	24	12	’s	’s	PART
ejge-4329	24	13	optimal	optimal	ADJ
ejge-4329	24	14	taxation	taxation	NOUN
ejge-4329	24	15	problem	problem	NOUN
ejge-4329	24	16	.	.	PUNCT
ejge-4329	25	1	cremer	cremer	PROPN
ejge-4329	25	2	and	and	CCONJ
ejge-4329	25	3	gahvari	gahvari	PROPN
ejge-4329	25	4	(	(	PUNCT
ejge-4329	25	5	1995	1995	NUM
ejge-4329	25	6	)	)	PUNCT
ejge-4329	25	7	prove	prove	VERB
ejge-4329	25	8	that	that	SCONJ
ejge-4329	25	9	optimal	optimal	ADJ
ejge-4329	25	10	taxation	taxation	NOUN
ejge-4329	25	11	requires	require	VERB
ejge-4329	25	12	a	a	DET
ejge-4329	25	13	mix	mix	NOUN
ejge-4329	25	14	of	of	ADP
ejge-4329	25	15	differential	differential	ADJ
ejge-4329	25	16	commodity	commodity	NOUN
ejge-4329	25	17	taxes	taxis	NOUN
ejge-4329	25	18	and	and	CCONJ
ejge-4329	25	19	a	a	DET
ejge-4329	25	20	uniform	uniform	ADJ
ejge-4329	25	21	lump	lump	NOUN
ejge-4329	25	22	-	-	PUNCT
ejge-4329	25	23	sum	sum	NOUN
ejge-4329	25	24	tax	tax	NOUN
ejge-4329	25	25	.	.	PUNCT
ejge-4329	26	1	naito	naito	PROPN
ejge-4329	26	2	(	(	PUNCT
ejge-4329	26	3	1999	1999	NUM
ejge-4329	26	4	)	)	PUNCT
ejge-4329	26	5	shows	show	VERB
ejge-4329	26	6	that	that	SCONJ
ejge-4329	26	7	imposing	impose	VERB
ejge-4329	26	8	a	a	DET
ejge-4329	26	9	non	non	ADJ
ejge-4329	26	10	-	-	ADJ
ejge-4329	26	11	uniform	uniform	ADJ
ejge-4329	26	12	commodity	commodity	NOUN
ejge-4329	26	13	tax	tax	NOUN
ejge-4329	26	14	can	can	AUX
ejge-4329	26	15	pareto	pareto	VERB
ejge-4329	26	16	-	-	PUNCT
ejge-4329	26	17	improve	improve	VERB
ejge-4329	26	18	welfare	welfare	NOUN
ejge-4329	26	19	even	even	ADV
ejge-4329	26	20	under	under	ADP
ejge-4329	26	21	nonlinear	nonlinear	ADJ
ejge-4329	26	22	income	income	NOUN
ejge-4329	26	23	taxation	taxation	NOUN
ejge-4329	26	24	if	if	SCONJ
ejge-4329	26	25	the	the	DET
ejge-4329	26	26	production	production	NOUN
ejge-4329	26	27	side	side	NOUN
ejge-4329	26	28	of	of	ADP
ejge-4329	26	29	an	an	DET
ejge-4329	26	30	economy	economy	NOUN
ejge-4329	26	31	is	be	AUX
ejge-4329	26	32	taken	take	VERB
ejge-4329	26	33	into	into	ADP
ejge-4329	26	34	the	the	DET
ejge-4329	26	35	consideration	consideration	NOUN
ejge-4329	26	36	.	.	PUNCT
ejge-4329	27	1	saez	saez	PROPN
ejge-4329	27	2	(	(	PUNCT
ejge-4329	27	3	2002	2002	NUM
ejge-4329	27	4	)	)	PUNCT
ejge-4329	27	5	shows	show	VERB
ejge-4329	27	6	that	that	SCONJ
ejge-4329	27	7	a	a	DET
ejge-4329	27	8	small	small	ADJ
ejge-4329	27	9	tax	tax	NOUN
ejge-4329	27	10	on	on	ADP
ejge-4329	27	11	a	a	DET
ejge-4329	27	12	given	give	VERB
ejge-4329	27	13	commodity	commodity	NOUN
ejge-4329	27	14	is	be	AUX
ejge-4329	27	15	desirable	desirable	ADJ
ejge-4329	27	16	if	if	SCONJ
ejge-4329	27	17	high	high	ADJ
ejge-4329	27	18	-	-	PUNCT
ejge-4329	27	19	income	income	NOUN
ejge-4329	27	20	earners	earner	NOUN
ejge-4329	27	21	have	have	VERB
ejge-4329	27	22	a	a	DET
ejge-4329	27	23	relatively	relatively	ADV
ejge-4329	27	24	higher	high	ADJ
ejge-4329	27	25	taste	taste	NOUN
ejge-4329	27	26	for	for	ADP
ejge-4329	27	27	this	this	DET
ejge-4329	27	28	commodity	commodity	NOUN
ejge-4329	27	29	or	or	CCONJ
ejge-4329	27	30	if	if	SCONJ
ejge-4329	27	31	consumption	consumption	NOUN
ejge-4329	27	32	of	of	ADP
ejge-4329	27	33	this	this	DET
ejge-4329	27	34	commodity	commodity	NOUN
ejge-4329	27	35	increases	increase	VERB
ejge-4329	27	36	with	with	ADP
ejge-4329	27	37	leisure	leisure	NOUN
ejge-4329	27	38	.	.	PUNCT
ejge-4329	28	1	the	the	DET
ejge-4329	28	2	quantity	quantity	NOUN
ejge-4329	28	3	taxes	taxis	NOUN
ejge-4329	28	4	are	be	AUX
ejge-4329	28	5	currently	currently	ADV
ejge-4329	28	6	more	more	ADV
ejge-4329	28	7	popular	popular	ADJ
ejge-4329	28	8	in	in	ADP
ejge-4329	28	9	the	the	DET
ejge-4329	28	10	environmental	environmental	ADJ
ejge-4329	28	11	economics	economic	NOUN
ejge-4329	28	12	literature	literature	NOUN
ejge-4329	28	13	,	,	PUNCT
ejge-4329	28	14	e.g.	e.g.	ADV
ejge-4329	28	15	nordhaus	nordhaus	NOUN
ejge-4329	28	16	(	(	PUNCT
ejge-4329	28	17	1993	1993	NUM
ejge-4329	28	18	)	)	PUNCT
ejge-4329	28	19	proposes	propose	VERB
ejge-4329	28	20	an	an	DET
ejge-4329	28	21	optimal	optimal	ADJ
ejge-4329	28	22	carbon	carbon	NOUN
ejge-4329	28	23	tax	tax	NOUN
ejge-4329	28	24	(	(	PUNCT
ejge-4329	28	25	tax	tax	NOUN
ejge-4329	28	26	per	per	ADP
ejge-4329	28	27	ton	ton	NOUN
ejge-4329	28	28	of	of	ADP
ejge-4329	28	29	carbon	carbon	NOUN
ejge-4329	28	30	)	)	PUNCT
ejge-4329	28	31	.	.	PUNCT
ejge-4329	29	1	chari	chari	PROPN
ejge-4329	29	2	,	,	PUNCT
ejge-4329	29	3	christiano	christiano	PROPN
ejge-4329	29	4	and	and	CCONJ
ejge-4329	29	5	kehoe	kehoe	PROPN
ejge-4329	29	6	(	(	PUNCT
ejge-4329	29	7	1994	1994	NUM
ejge-4329	29	8	)	)	PUNCT
ejge-4329	29	9	deal	deal	NOUN
ejge-4329	29	10	with	with	ADP
ejge-4329	29	11	the	the	DET
ejge-4329	29	12	labor	labor	NOUN
ejge-4329	29	13	and	and	CCONJ
ejge-4329	29	14	capital	capital	NOUN
ejge-4329	29	15	income	income	NOUN
ejge-4329	29	16	taxes	taxis	NOUN
ejge-4329	29	17	instead	instead	ADV
ejge-4329	29	18	of	of	ADP
ejge-4329	29	19	a	a	DET
ejge-4329	29	20	quantity	quantity	NOUN
ejge-4329	29	21	tax	tax	NOUN
ejge-4329	29	22	as	as	ADP
ejge-4329	29	23	in	in	ADP
ejge-4329	29	24	our	our	PRON
ejge-4329	29	25	model	model	NOUN
ejge-4329	29	26	.	.	PUNCT
ejge-4329	30	1	ekins	ekin	NOUN
ejge-4329	30	2	(	(	PUNCT
ejge-4329	30	3	1996	1996	NUM
ejge-4329	30	4	)	)	PUNCT
ejge-4329	30	5	takes	take	VERB
ejge-4329	30	6	into	into	ADP
ejge-4329	30	7	account	account	NOUN
ejge-4329	30	8	the	the	DET
ejge-4329	30	9	secondary	secondary	ADJ
ejge-4329	30	10	benefits	benefit	NOUN
ejge-4329	30	11	of	of	ADP
ejge-4329	30	12	carbon	carbon	NOUN
ejge-4329	30	13	dioxide	dioxide	NOUN
ejge-4329	30	14	abatement	abatement	NOUN
ejge-4329	30	15	for	for	ADP
ejge-4329	30	16	an	an	DET
ejge-4329	30	17	optimal	optimal	ADJ
ejge-4329	30	18	carbon	carbon	NOUN
ejge-4329	30	19	tax	tax	NOUN
ejge-4329	30	20	.	.	PUNCT
ejge-4329	31	1	coleman	coleman	PROPN
ejge-4329	31	2	(	(	PUNCT
ejge-4329	31	3	2000	2000	NUM
ejge-4329	31	4	)	)	PUNCT
ejge-4329	31	5	derives	derive	VERB
ejge-4329	31	6	the	the	DET
ejge-4329	31	7	optimal	optimal	ADJ
ejge-4329	31	8	dynamic	dynamic	ADJ
ejge-4329	31	9	taxation	taxation	NOUN
ejge-4329	31	10	of	of	ADP
ejge-4329	31	11	consumption	consumption	NOUN
ejge-4329	31	12	,	,	PUNCT
ejge-4329	31	13	income	income	NOUN
ejge-4329	31	14	from	from	ADP
ejge-4329	31	15	labor	labor	NOUN
ejge-4329	31	16	,	,	PUNCT
ejge-4329	31	17	and	and	CCONJ
ejge-4329	31	18	income	income	NOUN
ejge-4329	31	19	from	from	ADP
ejge-4329	31	20	capital	capital	NOUN
ejge-4329	31	21	,	,	PUNCT
ejge-4329	31	22	and	and	CCONJ
ejge-4329	31	23	estimates	estimate	VERB
ejge-4329	31	24	the	the	DET
ejge-4329	31	25	welfare	welfare	NOUN
ejge-4329	31	26	gain	gain	VERB
ejge-4329	31	27	that	that	SCONJ
ejge-4329	31	28	the	the	DET
ejge-4329	31	29	us	we	PRON
ejge-4329	31	30	could	could	AUX
ejge-4329	31	31	attain	attain	VERB
ejge-4329	31	32	by	by	ADP
ejge-4329	31	33	switching	switch	VERB
ejge-4329	31	34	from	from	ADP
ejge-4329	31	35	its	its	PRON
ejge-4329	31	36	current	current	ADJ
ejge-4329	31	37	income	income	NOUN
ejge-4329	31	38	tax	tax	NOUN
ejge-4329	31	39	policy	policy	NOUN
ejge-4329	31	40	to	to	ADP
ejge-4329	31	41	an	an	DET
ejge-4329	31	42	optimal	optimal	ADJ
ejge-4329	31	43	dynamic	dynamic	ADJ
ejge-4329	31	44	tax	tax	NOUN
ejge-4329	31	45	policy	policy	NOUN
ejge-4329	31	46	.	.	PUNCT
ejge-4329	32	1	pizer	pizer	NOUN
ejge-4329	32	2	(	(	PUNCT
ejge-4329	32	3	2002	2002	NUM
ejge-4329	32	4	)	)	PUNCT
ejge-4329	32	5	explores	explore	VERB
ejge-4329	32	6	the	the	DET
ejge-4329	32	7	possibility	possibility	NOUN
ejge-4329	32	8	of	of	ADP
ejge-4329	32	9	a	a	DET
ejge-4329	32	10	hybrid	hybrid	ADJ
ejge-4329	32	11	permit	permit	NOUN
ejge-4329	32	12	system	system	NOUN
ejge-4329	32	13	and	and	CCONJ
ejge-4329	32	14	a	a	DET
ejge-4329	32	15	dynamic	dynamic	ADJ
ejge-4329	32	16	optimal	optimal	ADJ
ejge-4329	32	17	policy	policy	NOUN
ejge-4329	32	18	path	path	NOUN
ejge-4329	32	19	in	in	ADP
ejge-4329	32	20	order	order	NOUN
ejge-4329	32	21	to	to	PART
ejge-4329	32	22	accommodate	accommodate	VERB
ejge-4329	32	23	growth	growth	NOUN
ejge-4329	32	24	and	and	CCONJ
ejge-4329	32	25	not	not	PART
ejge-4329	32	26	because	because	SCONJ
ejge-4329	32	27	of	of	ADP
ejge-4329	32	28	the	the	DET
ejge-4329	32	29	adjustment	adjustment	NOUN
ejge-4329	32	30	over	over	ADP
ejge-4329	32	31	time	time	NOUN
ejge-4329	32	32	to	to	PART
ejge-4329	32	33	equalize	equalize	VERB
ejge-4329	32	34	the	the	DET
ejge-4329	32	35	marginal	marginal	ADJ
ejge-4329	32	36	benefit	benefit	NOUN
ejge-4329	32	37	and	and	CCONJ
ejge-4329	32	38	cost	cost	NOUN
ejge-4329	32	39	.	.	PUNCT
ejge-4329	33	1	it	it	PRON
ejge-4329	33	2	is	be	AUX
ejge-4329	33	3	implicitly	implicitly	ADV
ejge-4329	33	4	assumed	assume	VERB
ejge-4329	33	5	that	that	SCONJ
ejge-4329	33	6	the	the	DET
ejge-4329	33	7	marginal	marginal	ADJ
ejge-4329	33	8	cost	cost	NOUN
ejge-4329	33	9	equals	equal	VERB
ejge-4329	33	10	the	the	DET
ejge-4329	33	11	marginal	marginal	ADJ
ejge-4329	33	12	benefit	benefit	NOUN
ejge-4329	33	13	in	in	ADP
ejge-4329	33	14	each	each	DET
ejge-4329	33	15	time	time	NOUN
ejge-4329	33	16	-	-	PUNCT
ejge-4329	33	17	period	period	NOUN
ejge-4329	33	18	.	.	PUNCT
ejge-4329	34	1	following	follow	VERB
ejge-4329	34	2	ramsey	ramsey	PROPN
ejge-4329	34	3	,	,	PUNCT
ejge-4329	34	4	the	the	DET
ejge-4329	34	5	existing	exist	VERB
ejge-4329	34	6	literature	literature	NOUN
ejge-4329	34	7	on	on	ADP
ejge-4329	34	8	optimal	optimal	ADJ
ejge-4329	34	9	quantity	quantity	NOUN
ejge-4329	34	10	taxation	taxation	NOUN
ejge-4329	34	11	only	only	ADV
ejge-4329	34	12	compares	compare	VERB
ejge-4329	34	13	the	the	DET
ejge-4329	34	14	pre	pre	NOUN
ejge-4329	34	15	and	and	CCONJ
ejge-4329	34	16	the	the	DET
ejge-4329	34	17	post	post	ADJ
ejge-4329	34	18	-	-	ADJ
ejge-4329	34	19	tax	tax	ADJ
ejge-4329	34	20	market	market	NOUN
ejge-4329	34	21	equilibriums	equilibrium	NOUN
ejge-4329	34	22	in	in	ADP
ejge-4329	34	23	order	order	NOUN
ejge-4329	34	24	to	to	PART
ejge-4329	34	25	account	account	VERB
ejge-4329	34	26	for	for	ADP
ejge-4329	34	27	the	the	DET
ejge-4329	34	28	efficiency	efficiency	NOUN
ejge-4329	34	29	losses	loss	NOUN
ejge-4329	34	30	.	.	PUNCT
ejge-4329	35	1	however	however	ADV
ejge-4329	35	2	,	,	PUNCT
ejge-4329	35	3	when	when	SCONJ
ejge-4329	35	4	the	the	DET
ejge-4329	35	5	government	government	NOUN
ejge-4329	35	6	imposes	impose	VERB
ejge-4329	35	7	a	a	DET
ejge-4329	35	8	quantity	quantity	NOUN
ejge-4329	35	9	tax	tax	NOUN
ejge-4329	35	10	on	on	ADP
ejge-4329	35	11	the	the	DET
ejge-4329	35	12	consumer	consumer	NOUN
ejge-4329	35	13	,	,	PUNCT
ejge-4329	35	14	the	the	DET
ejge-4329	35	15	buyer	buyer	NOUN
ejge-4329	35	16	’s	’s	PART
ejge-4329	35	17	price	price	NOUN
ejge-4329	35	18	jumps	jump	VERB
ejge-4329	35	19	to	to	ADP
ejge-4329	35	20	the	the	DET
ejge-4329	35	21	pre	pre	ADJ
ejge-4329	35	22	-	-	ADJ
ejge-4329	35	23	tax	tax	ADJ
ejge-4329	35	24	equilibrium	equilibrium	NOUN
ejge-4329	35	25	price	price	NOUN
ejge-4329	35	26	plus	plus	CCONJ
ejge-4329	35	27	the	the	DET
ejge-4329	35	28	amount	amount	NOUN
ejge-4329	35	29	of	of	ADP
ejge-4329	35	30	the	the	DET
ejge-4329	35	31	tax	tax	NOUN
ejge-4329	35	32	,	,	PUNCT
ejge-4329	35	33	and	and	CCONJ
ejge-4329	35	34	the	the	DET
ejge-4329	35	35	supply	supply	NOUN
ejge-4329	35	36	and	and	CCONJ
ejge-4329	35	37	the	the	DET
ejge-4329	35	38	demand	demand	NOUN
ejge-4329	35	39	of	of	ADP
ejge-4329	35	40	the	the	DET
ejge-4329	35	41	taxed	tax	VERB
ejge-4329	35	42	commodity	commodity	NOUN
ejge-4329	35	43	then	then	ADV
ejge-4329	35	44	adjust	adjust	VERB
ejge-4329	35	45	over	over	ADP
ejge-4329	35	46	time	time	NOUN
ejge-4329	35	47	to	to	PART
ejge-4329	35	48	bring	bring	VERB
ejge-4329	35	49	the	the	DET
ejge-4329	35	50	new	new	ADJ
ejge-4329	35	51	post	post	ADJ
ejge-4329	35	52	-	-	ADJ
ejge-4329	35	53	tax	tax	ADJ
ejge-4329	35	54	market	market	NOUN
ejge-4329	35	55	equilibrium	equilibrium	NOUN
ejge-4329	35	56	.	.	PUNCT
ejge-4329	36	1	the	the	DET
ejge-4329	36	2	existing	exist	VERB
ejge-4329	36	3	literature	literature	NOUN
ejge-4329	36	4	does	do	AUX
ejge-4329	36	5	not	not	PART
ejge-4329	36	6	take	take	VERB
ejge-4329	36	7	into	into	ADP
ejge-4329	36	8	account	account	NOUN
ejge-4329	36	9	the	the	DET
ejge-4329	36	10	efficiency	efficiency	NOUN
ejge-4329	36	11	losses	loss	NOUN
ejge-4329	36	12	during	during	ADP
ejge-4329	36	13	the	the	DET
ejge-4329	36	14	adjustment	adjustment	NOUN
ejge-4329	36	15	process	process	NOUN
ejge-4329	36	16	while	while	SCONJ
ejge-4329	36	17	computing	compute	VERB
ejge-4329	36	18	the	the	DET
ejge-4329	36	19	optimal	optimal	ADJ
ejge-4329	36	20	quantity	quantity	NOUN
ejge-4329	36	21	taxes	taxis	NOUN
ejge-4329	36	22	.	.	PUNCT
ejge-4329	37	1	this	this	DET
ejge-4329	37	2	paper	paper	NOUN
ejge-4329	37	3	derives	derive	VERB
ejge-4329	37	4	an	an	DET
ejge-4329	37	5	optimal	optimal	ADJ
ejge-4329	37	6	quantity	quantity	NOUN
ejge-4329	37	7	tax	tax	NOUN
ejge-4329	37	8	path	path	NOUN
ejge-4329	37	9	in	in	ADP
ejge-4329	37	10	a	a	DET
ejge-4329	37	11	dynamic	dynamic	ADJ
ejge-4329	37	12	setting	setting	NOUN
ejge-4329	37	13	minimizing	minimize	VERB
ejge-4329	37	14	the	the	DET
ejge-4329	37	15	efficiency	efficiency	NOUN
ejge-4329	37	16	losses	loss	NOUN
ejge-4329	37	17	(	(	PUNCT
ejge-4329	37	18	output	output	NOUN
ejge-4329	37	19	and/	and/	NOUN
ejge-4329	37	20	or	or	CCONJ
ejge-4329	37	21	consumption	consumption	NOUN
ejge-4329	37	22	lost	lose	VERB
ejge-4329	37	23	)	)	PUNCT
ejge-4329	37	24	during	during	ADP
ejge-4329	37	25	the	the	DET
ejge-4329	37	26	dynamic	dynamic	ADJ
ejge-4329	37	27	adjustment	adjustment	NOUN
ejge-4329	37	28	process	process	NOUN
ejge-4329	37	29	as	as	ADV
ejge-4329	37	30	well	well	ADV
ejge-4329	37	31	as	as	ADP
ejge-4329	37	32	the	the	DET
ejge-4329	37	33	post	post	ADJ
ejge-4329	37	34	-	-	ADJ
ejge-4329	37	35	tax	tax	ADJ
ejge-4329	37	36	market	market	NOUN
ejge-4329	37	37	equilibrium	equilibrium	NOUN
ejge-4329	37	38	.	.	PUNCT
ejge-4329	38	1	the	the	DET
ejge-4329	38	2	remainder	remainder	NOUN
ejge-4329	38	3	of	of	ADP
ejge-4329	38	4	this	this	DET
ejge-4329	38	5	paper	paper	NOUN
ejge-4329	38	6	is	be	AUX
ejge-4329	38	7	organized	organize	VERB
ejge-4329	38	8	as	as	SCONJ
ejge-4329	38	9	follows	follow	VERB
ejge-4329	38	10	:	:	PUNCT
ejge-4329	38	11	section	section	NOUN
ejge-4329	38	12	2	2	NUM
ejge-4329	38	13	explains	explain	VERB
ejge-4329	38	14	how	how	SCONJ
ejge-4329	38	15	the	the	DET
ejge-4329	38	16	individual	individual	ADJ
ejge-4329	38	17	components	component	NOUN
ejge-4329	38	18	of	of	ADP
ejge-4329	38	19	the	the	DET
ejge-4329	38	20	market	market	NOUN
ejge-4329	38	21	system	system	NOUN
ejge-4329	38	22	are	be	AUX
ejge-4329	38	23	joined	join	VERB
ejge-4329	38	24	together	together	ADV
ejge-4329	38	25	to	to	PART
ejge-4329	38	26	form	form	VERB
ejge-4329	38	27	a	a	DET
ejge-4329	38	28	dynamic	dynamic	ADJ
ejge-4329	38	29	market	market	NOUN
ejge-4329	38	30	model	model	NOUN
ejge-4329	38	31	.	.	PUNCT
ejge-4329	39	1	section	section	NOUN
ejge-4329	39	2	3	3	NUM
ejge-4329	39	3	provides	provide	VERB
ejge-4329	39	4	the	the	DET
ejge-4329	39	5	solution	solution	NOUN
ejge-4329	39	6	of	of	ADP
ejge-4329	39	7	the	the	DET
ejge-4329	39	8	model	model	NOUN
ejge-4329	39	9	with	with	ADP
ejge-4329	39	10	a	a	DET
ejge-4329	39	11	quantity	quantity	NOUN
ejge-4329	39	12	tax	tax	NOUN
ejge-4329	39	13	imposed	impose	VERB
ejge-4329	39	14	.	.	PUNCT
ejge-4329	40	1	section	section	NOUN
ejge-4329	40	2	4	4	NUM
ejge-4329	40	3	derives	derive	VERB
ejge-4329	40	4	an	an	DET
ejge-4329	40	5	optimal	optimal	ADJ
ejge-4329	40	6	commodity	commodity	NOUN
ejge-4329	40	7	tax	tax	NOUN
ejge-4329	40	8	path	path	NOUN
ejge-4329	40	9	minimizing	minimize	VERB
ejge-4329	40	10	the	the	DET
ejge-4329	40	11	efficiency	efficiency	NOUN
ejge-4329	40	12	losses	loss	NOUN
ejge-4329	40	13	subject	subject	ADJ
ejge-4329	40	14	to	to	ADP
ejge-4329	40	15	a	a	DET
ejge-4329	40	16	tax	tax	NOUN
ejge-4329	40	17	revenue	revenue	NOUN
ejge-4329	40	18	target	target	NOUN
ejge-4329	40	19	in	in	ADP
ejge-4329	40	20	a	a	DET
ejge-4329	40	21	specific	specific	ADJ
ejge-4329	40	22	time	time	NOUN
ejge-4329	40	23	-	-	PUNCT
ejge-4329	40	24	period	period	NOUN
ejge-4329	40	25	.	.	PUNCT
ejge-4329	41	1	section	section	NOUN
ejge-4329	41	2	5	5	NUM
ejge-4329	41	3	summarizes	summarize	NOUN
ejge-4329	41	4	the	the	DET
ejge-4329	41	5	findings	finding	NOUN
ejge-4329	41	6	and	and	CCONJ
ejge-4329	41	7	concludes	conclude	VERB
ejge-4329	41	8	.	.	PUNCT
ejge-4329	42	1	the	the	DET
ejge-4329	42	2	appendix	appendix	ADJ
ejge-4329	42	3	presents	present	VERB
ejge-4329	42	4	mathematical	mathematical	ADJ
ejge-4329	42	5	details	detail	NOUN
ejge-4329	42	6	.	.	PUNCT
ejge-4329	43	1	193	193	NUM
ejge-4329	43	2	n.	n.	NOUN
ejge-4329	43	3	nawaz	nawaz	ADJ
ejge-4329	43	4	/	/	SYM
ejge-4329	43	5	european	european	ADJ
ejge-4329	43	6	journal	journal	PROPN
ejge-4329	43	7	of	of	ADP
ejge-4329	43	8	government	government	NOUN
ejge-4329	43	9	and	and	CCONJ
ejge-4329	43	10	economics	economic	NOUN
ejge-4329	43	11	6(2	6(2	NUM
ejge-4329	43	12	)	)	PUNCT
ejge-4329	43	13	,	,	PUNCT
ejge-4329	43	14	191	191	NUM
ejge-4329	43	15	-	-	SYM
ejge-4329	43	16	225	225	NUM
ejge-4329	43	17	2	2	NUM
ejge-4329	43	18	.	.	PUNCT
ejge-4329	44	1	the	the	DET
ejge-4329	44	2	model	model	NOUN
ejge-4329	44	3	let	let	VERB
ejge-4329	44	4	’s	’s	PRON
ejge-4329	44	5	assume	assume	VERB
ejge-4329	44	6	that	that	SCONJ
ejge-4329	44	7	there	there	PRON
ejge-4329	44	8	is	be	VERB
ejge-4329	44	9	a	a	DET
ejge-4329	44	10	perfectly	perfectly	ADV
ejge-4329	44	11	competitive	competitive	ADJ
ejge-4329	44	12	market	market	NOUN
ejge-4329	44	13	of	of	ADP
ejge-4329	44	14	a	a	DET
ejge-4329	44	15	single	single	ADJ
ejge-4329	44	16	homogeneous	homogeneous	ADJ
ejge-4329	44	17	commodity	commodity	NOUN
ejge-4329	44	18	in	in	ADP
ejge-4329	44	19	equilibrium	equilibrium	NOUN
ejge-4329	44	20	(	(	PUNCT
ejge-4329	44	21	so	so	ADV
ejge-4329	44	22	our	our	PRON
ejge-4329	44	23	starting	starting	NOUN
ejge-4329	44	24	point	point	NOUN
ejge-4329	44	25	is	be	AUX
ejge-4329	44	26	when	when	SCONJ
ejge-4329	44	27	the	the	DET
ejge-4329	44	28	market	market	NOUN
ejge-4329	44	29	is	be	AUX
ejge-4329	44	30	already	already	ADV
ejge-4329	44	31	in	in	ADP
ejge-4329	44	32	equilibrium	equilibrium	NOUN
ejge-4329	44	33	)	)	PUNCT
ejge-4329	44	34	.	.	PUNCT
ejge-4329	45	1	there	there	PRON
ejge-4329	45	2	are	be	VERB
ejge-4329	45	3	four	four	NUM
ejge-4329	45	4	types	type	NOUN
ejge-4329	45	5	of	of	ADP
ejge-4329	45	6	infinitely	infinitely	ADV
ejge-4329	45	7	-	-	PUNCT
ejge-4329	45	8	lived	live	VERB
ejge-4329	45	9	agents	agent	NOUN
ejge-4329	45	10	:	:	PUNCT
ejge-4329	45	11	a	a	DET
ejge-4329	45	12	representative	representative	NOUN
ejge-4329	45	13	-or	-or	X
ejge-4329	45	14	a	a	DET
ejge-4329	45	15	unit	unit	NOUN
ejge-4329	45	16	mass	mass	NOUN
ejge-4329	45	17	ofproducer	ofproducer	NOUN
ejge-4329	45	18	(	(	PUNCT
ejge-4329	45	19	that	that	PRON
ejge-4329	45	20	produces	produce	VERB
ejge-4329	45	21	a	a	DET
ejge-4329	45	22	good	good	NOUN
ejge-4329	45	23	,	,	PUNCT
ejge-4329	45	24	and	and	CCONJ
ejge-4329	45	25	demand	demand	VERB
ejge-4329	45	26	labor	labor	NOUN
ejge-4329	45	27	and	and	CCONJ
ejge-4329	45	28	capital	capital	NOUN
ejge-4329	45	29	)	)	PUNCT
ejge-4329	45	30	,	,	PUNCT
ejge-4329	45	31	a	a	DET
ejge-4329	45	32	middleman	middleman	NOUN
ejge-4329	45	33	(	(	PUNCT
ejge-4329	45	34	who	who	PRON
ejge-4329	45	35	buys	buy	VERB
ejge-4329	45	36	the	the	DET
ejge-4329	45	37	good	good	NOUN
ejge-4329	45	38	from	from	ADP
ejge-4329	45	39	firms	firm	NOUN
ejge-4329	45	40	to	to	PART
ejge-4329	45	41	sell	sell	VERB
ejge-4329	45	42	to	to	ADP
ejge-4329	45	43	consumers	consumer	NOUN
ejge-4329	45	44	,	,	PUNCT
ejge-4329	45	45	and	and	CCONJ
ejge-4329	45	46	possibly	possibly	ADV
ejge-4329	45	47	accumulating	accumulate	VERB
ejge-4329	45	48	inventories	inventory	NOUN
ejge-4329	45	49	)	)	PUNCT
ejge-4329	45	50	,	,	PUNCT
ejge-4329	45	51	a	a	DET
ejge-4329	45	52	representative	representative	NOUN
ejge-4329	45	53	–	–	PUNCT
ejge-4329	45	54	or	or	CCONJ
ejge-4329	45	55	a	a	DET
ejge-4329	45	56	unit	unit	NOUN
ejge-4329	45	57	mass	mass	NOUN
ejge-4329	45	58	of	of	ADP
ejge-4329	45	59	–	–	PUNCT
ejge-4329	45	60	consumer	consumer	NOUN
ejge-4329	45	61	(	(	PUNCT
ejge-4329	45	62	who	who	PRON
ejge-4329	45	63	buys	buy	VERB
ejge-4329	45	64	the	the	DET
ejge-4329	45	65	good	good	NOUN
ejge-4329	45	66	,	,	PUNCT
ejge-4329	45	67	accumulates	accumulate	VERB
ejge-4329	45	68	capital	capital	NOUN
ejge-4329	45	69	by	by	ADP
ejge-4329	45	70	investing	invest	VERB
ejge-4329	45	71	and	and	CCONJ
ejge-4329	45	72	supplies	supply	VERB
ejge-4329	45	73	labor	labor	NOUN
ejge-4329	45	74	inelastically	inelastically	ADV
ejge-4329	45	75	)	)	PUNCT
ejge-4329	45	76	,	,	PUNCT
ejge-4329	45	77	and	and	CCONJ
ejge-4329	45	78	a	a	DET
ejge-4329	45	79	government	government	NOUN
ejge-4329	45	80	.	.	PUNCT
ejge-4329	46	1	the	the	DET
ejge-4329	46	2	role	role	NOUN
ejge-4329	46	3	of	of	ADP
ejge-4329	46	4	middleman	middleman	NOUN
ejge-4329	46	5	is	be	AUX
ejge-4329	46	6	motivated	motivate	VERB
ejge-4329	46	7	by	by	ADP
ejge-4329	46	8	the	the	DET
ejge-4329	46	9	real	real	ADJ
ejge-4329	46	10	world	world	NOUN
ejge-4329	46	11	scenario	scenario	NOUN
ejge-4329	46	12	where	where	SCONJ
ejge-4329	46	13	the	the	DET
ejge-4329	46	14	producer	producer	NOUN
ejge-4329	46	15	and	and	CCONJ
ejge-4329	46	16	the	the	DET
ejge-4329	46	17	consumer	consumer	NOUN
ejge-4329	46	18	seldom	seldom	ADV
ejge-4329	46	19	directly	directly	ADV
ejge-4329	46	20	meet	meet	VERB
ejge-4329	46	21	for	for	ADP
ejge-4329	46	22	a	a	DET
ejge-4329	46	23	transaction	transaction	NOUN
ejge-4329	46	24	to	to	PART
ejge-4329	46	25	take	take	VERB
ejge-4329	46	26	place	place	NOUN
ejge-4329	46	27	.	.	PUNCT
ejge-4329	47	1	the	the	DET
ejge-4329	47	2	existence	existence	NOUN
ejge-4329	47	3	of	of	ADP
ejge-4329	47	4	retailers	retailer	NOUN
ejge-4329	47	5	,	,	PUNCT
ejge-4329	47	6	wholesalers	wholesaler	NOUN
ejge-4329	47	7	,	,	PUNCT
ejge-4329	47	8	financial	financial	ADJ
ejge-4329	47	9	institutions	institution	NOUN
ejge-4329	47	10	,	,	PUNCT
ejge-4329	47	11	educational	educational	ADJ
ejge-4329	47	12	institutions	institution	NOUN
ejge-4329	47	13	and	and	CCONJ
ejge-4329	47	14	the	the	DET
ejge-4329	47	15	hospitals	hospital	NOUN
ejge-4329	47	16	reflect	reflect	VERB
ejge-4329	47	17	the	the	DET
ejge-4329	47	18	presence	presence	NOUN
ejge-4329	47	19	of	of	ADP
ejge-4329	47	20	middlemen	middleman	NOUN
ejge-4329	47	21	between	between	ADP
ejge-4329	47	22	producers	producer	NOUN
ejge-4329	47	23	and	and	CCONJ
ejge-4329	47	24	consumers	consumer	NOUN
ejge-4329	47	25	in	in	ADP
ejge-4329	47	26	most	most	ADJ
ejge-4329	47	27	of	of	ADP
ejge-4329	47	28	the	the	DET
ejge-4329	47	29	economic	economic	ADJ
ejge-4329	47	30	activity	activity	NOUN
ejge-4329	47	31	going	go	VERB
ejge-4329	47	32	on	on	ADP
ejge-4329	47	33	.	.	PUNCT
ejge-4329	48	1	the	the	DET
ejge-4329	48	2	producer	producer	NOUN
ejge-4329	48	3	produces	produce	VERB
ejge-4329	48	4	the	the	DET
ejge-4329	48	5	goods	good	NOUN
ejge-4329	48	6	and	and	CCONJ
ejge-4329	48	7	supplies	supply	VERB
ejge-4329	48	8	those	those	PRON
ejge-4329	48	9	to	to	ADP
ejge-4329	48	10	the	the	DET
ejge-4329	48	11	middleman	middleman	NOUN
ejge-4329	48	12	,	,	PUNCT
ejge-4329	48	13	who	who	PRON
ejge-4329	48	14	keeps	keep	VERB
ejge-4329	48	15	an	an	DET
ejge-4329	48	16	inventory	inventory	NOUN
ejge-4329	48	17	of	of	ADP
ejge-4329	48	18	the	the	DET
ejge-4329	48	19	goods	good	NOUN
ejge-4329	48	20	and	and	CCONJ
ejge-4329	48	21	sells	sell	VERB
ejge-4329	48	22	those	those	PRON
ejge-4329	48	23	to	to	ADP
ejge-4329	48	24	the	the	DET
ejge-4329	48	25	consumer	consumer	NOUN
ejge-4329	48	26	at	at	ADP
ejge-4329	48	27	the	the	DET
ejge-4329	48	28	market	market	NOUN
ejge-4329	48	29	price	price	NOUN
ejge-4329	48	30	.	.	PUNCT
ejge-4329	49	1	in	in	ADP
ejge-4329	49	2	the	the	DET
ejge-4329	49	3	model	model	NOUN
ejge-4329	49	4	,	,	PUNCT
ejge-4329	49	5	the	the	DET
ejge-4329	49	6	middleman	middleman	NOUN
ejge-4329	49	7	plays	play	VERB
ejge-4329	49	8	a	a	DET
ejge-4329	49	9	key	key	ADJ
ejge-4329	49	10	role	role	NOUN
ejge-4329	49	11	,	,	PUNCT
ejge-4329	49	12	as	as	SCONJ
ejge-4329	49	13	she	she	PRON
ejge-4329	49	14	sets	set	VERB
ejge-4329	49	15	the	the	DET
ejge-4329	49	16	selling	selling	NOUN
ejge-4329	49	17	price	price	NOUN
ejge-4329	49	18	𝑝𝑝	𝑝𝑝	NOUN
ejge-4329	49	19	by	by	ADP
ejge-4329	49	20	maximizing	maximize	VERB
ejge-4329	49	21	the	the	DET
ejge-4329	49	22	difference	difference	NOUN
ejge-4329	49	23	between	between	ADP
ejge-4329	49	24	the	the	DET
ejge-4329	49	25	revenue	revenue	NOUN
ejge-4329	49	26	for	for	ADP
ejge-4329	49	27	selling	sell	VERB
ejge-4329	49	28	goods	good	NOUN
ejge-4329	49	29	to	to	ADP
ejge-4329	49	30	consumers	consumer	NOUN
ejge-4329	49	31	and	and	CCONJ
ejge-4329	49	32	the	the	DET
ejge-4329	49	33	costs	cost	NOUN
ejge-4329	49	34	of	of	ADP
ejge-4329	49	35	inventories	inventory	NOUN
ejge-4329	49	36	.	.	PUNCT
ejge-4329	50	1	the	the	DET
ejge-4329	50	2	buying	buying	NOUN
ejge-4329	50	3	price	price	NOUN
ejge-4329	50	4	paid	pay	VERB
ejge-4329	50	5	to	to	ADP
ejge-4329	50	6	the	the	DET
ejge-4329	50	7	producer	producer	NOUN
ejge-4329	50	8	is	be	AUX
ejge-4329	50	9	𝛼𝛼	𝛼𝛼	ADP
ejge-4329	50	10	𝑝𝑝	𝑝𝑝	NOUN
ejge-4329	50	11	with	with	ADP
ejge-4329	50	12	𝛼𝛼	𝛼𝛼	ADP
ejge-4329	50	13	<	<	X
ejge-4329	50	14	1	1	NUM
ejge-4329	50	15	,	,	PUNCT
ejge-4329	50	16	and	and	CCONJ
ejge-4329	50	17	the	the	DET
ejge-4329	50	18	producer	producer	NOUN
ejge-4329	50	19	is	be	AUX
ejge-4329	50	20	a	a	DET
ejge-4329	50	21	price	price	NOUN
ejge-4329	50	22	taker	taker	NOUN
ejge-4329	50	23	.	.	PUNCT
ejge-4329	51	1	the	the	DET
ejge-4329	51	2	price	price	NOUN
ejge-4329	51	3	adjustment	adjustment	NOUN
ejge-4329	51	4	mechanism	mechanism	NOUN
ejge-4329	51	5	is	be	AUX
ejge-4329	51	6	based	base	VERB
ejge-4329	51	7	on	on	ADP
ejge-4329	51	8	the	the	DET
ejge-4329	51	9	fact	fact	NOUN
ejge-4329	51	10	that	that	SCONJ
ejge-4329	51	11	when	when	SCONJ
ejge-4329	51	12	a	a	DET
ejge-4329	51	13	shock	shock	NOUN
ejge-4329	51	14	leads	lead	VERB
ejge-4329	51	15	the	the	DET
ejge-4329	51	16	market	market	NOUN
ejge-4329	51	17	out	out	ADP
ejge-4329	51	18	of	of	ADP
ejge-4329	51	19	equilibrium	equilibrium	NOUN
ejge-4329	51	20	,	,	PUNCT
ejge-4329	51	21	the	the	DET
ejge-4329	51	22	buyers	buyer	NOUN
ejge-4329	51	23	’	'	PUNCT
ejge-4329	51	24	and	and	CCONJ
ejge-4329	51	25	sellers	seller	NOUN
ejge-4329	51	26	’	'	PUNCT
ejge-4329	51	27	decisions	decision	NOUN
ejge-4329	51	28	are	be	AUX
ejge-4329	51	29	not	not	PART
ejge-4329	51	30	coordinated	coordinate	VERB
ejge-4329	51	31	at	at	ADP
ejge-4329	51	32	the	the	DET
ejge-4329	51	33	current	current	ADJ
ejge-4329	51	34	prices	price	NOUN
ejge-4329	51	35	.	.	PUNCT
ejge-4329	52	1	an	an	DET
ejge-4329	52	2	example	example	NOUN
ejge-4329	52	3	can	can	AUX
ejge-4329	52	4	illustrate	illustrate	VERB
ejge-4329	52	5	the	the	DET
ejge-4329	52	6	working	working	NOUN
ejge-4329	52	7	of	of	ADP
ejge-4329	52	8	this	this	DET
ejge-4329	52	9	market	market	NOUN
ejge-4329	52	10	.	.	PUNCT
ejge-4329	53	1	consider	consider	VERB
ejge-4329	53	2	that	that	SCONJ
ejge-4329	53	3	the	the	DET
ejge-4329	53	4	market	market	NOUN
ejge-4329	53	5	is	be	AUX
ejge-4329	53	6	initially	initially	ADV
ejge-4329	53	7	in	in	ADP
ejge-4329	53	8	equilibrium	equilibrium	NOUN
ejge-4329	53	9	.	.	PUNCT
ejge-4329	54	1	the	the	DET
ejge-4329	54	2	middleman	middleman	NOUN
ejge-4329	54	3	has	have	VERB
ejge-4329	54	4	an	an	DET
ejge-4329	54	5	equilibrium	equilibrium	NOUN
ejge-4329	54	6	stock	stock	NOUN
ejge-4329	54	7	of	of	ADP
ejge-4329	54	8	inventory	inventory	NOUN
ejge-4329	54	9	.	.	PUNCT
ejge-4329	55	1	then	then	ADV
ejge-4329	55	2	,	,	PUNCT
ejge-4329	55	3	an	an	DET
ejge-4329	55	4	exogenous	exogenous	ADJ
ejge-4329	55	5	demand	demand	NOUN
ejge-4329	55	6	contraction	contraction	NOUN
ejge-4329	55	7	will	will	AUX
ejge-4329	55	8	increase	increase	VERB
ejge-4329	55	9	the	the	DET
ejge-4329	55	10	stock	stock	NOUN
ejge-4329	55	11	of	of	ADP
ejge-4329	55	12	inventory	inventory	NOUN
ejge-4329	55	13	,	,	PUNCT
ejge-4329	55	14	due	due	ADP
ejge-4329	55	15	to	to	ADP
ejge-4329	55	16	firms	firm	NOUN
ejge-4329	55	17	’	'	PUNCT
ejge-4329	55	18	output	output	NOUN
ejge-4329	55	19	could	could	AUX
ejge-4329	55	20	not	not	PART
ejge-4329	55	21	match	match	VERB
ejge-4329	55	22	with	with	ADP
ejge-4329	55	23	the	the	DET
ejge-4329	55	24	–	–	PUNCT
ejge-4329	55	25	now	now	ADV
ejge-4329	55	26	lower	low	ADJ
ejge-4329	55	27	–	–	PUNCT
ejge-4329	55	28	units	unit	NOUN
ejge-4329	55	29	demanded	demand	VERB
ejge-4329	55	30	by	by	ADP
ejge-4329	55	31	the	the	DET
ejge-4329	55	32	consumer	consumer	NOUN
ejge-4329	55	33	at	at	ADP
ejge-4329	55	34	the	the	DET
ejge-4329	55	35	current	current	ADJ
ejge-4329	55	36	price	price	NOUN
ejge-4329	55	37	.	.	PUNCT
ejge-4329	56	1	this	this	DET
ejge-4329	56	2	excess	excess	NOUN
ejge-4329	56	3	of	of	ADP
ejge-4329	56	4	supply	supply	NOUN
ejge-4329	56	5	is	be	AUX
ejge-4329	56	6	accumulated	accumulate	VERB
ejge-4329	56	7	in	in	ADP
ejge-4329	56	8	inventory	inventory	NOUN
ejge-4329	56	9	held	hold	VERB
ejge-4329	56	10	by	by	ADP
ejge-4329	56	11	the	the	DET
ejge-4329	56	12	middleman	middleman	NOUN
ejge-4329	56	13	.	.	PUNCT
ejge-4329	57	1	the	the	DET
ejge-4329	57	2	middleman	middleman	NOUN
ejge-4329	57	3	will	will	AUX
ejge-4329	57	4	decrease	decrease	VERB
ejge-4329	57	5	the	the	DET
ejge-4329	57	6	price	price	NOUN
ejge-4329	57	7	so	so	SCONJ
ejge-4329	57	8	that	that	SCONJ
ejge-4329	57	9	the	the	DET
ejge-4329	57	10	producer	producer	NOUN
ejge-4329	57	11	will	will	AUX
ejge-4329	57	12	find	find	VERB
ejge-4329	57	13	optimal	optimal	ADJ
ejge-4329	57	14	to	to	PART
ejge-4329	57	15	produce	produce	VERB
ejge-4329	57	16	a	a	DET
ejge-4329	57	17	lower	low	ADJ
ejge-4329	57	18	level	level	NOUN
ejge-4329	57	19	of	of	ADP
ejge-4329	57	20	output	output	NOUN
ejge-4329	57	21	.	.	PUNCT
ejge-4329	58	1	a	a	DET
ejge-4329	58	2	new	new	ADJ
ejge-4329	58	3	equilibrium	equilibrium	NOUN
ejge-4329	58	4	with	with	ADP
ejge-4329	58	5	a	a	DET
ejge-4329	58	6	lower	low	ADJ
ejge-4329	58	7	price	price	NOUN
ejge-4329	58	8	and	and	CCONJ
ejge-4329	58	9	a	a	DET
ejge-4329	58	10	lower	low	ADJ
ejge-4329	58	11	level	level	NOUN
ejge-4329	58	12	of	of	ADP
ejge-4329	58	13	output	output	NOUN
ejge-4329	58	14	is	be	AUX
ejge-4329	58	15	then	then	ADV
ejge-4329	58	16	reached	reach	VERB
ejge-4329	58	17	.	.	PUNCT
ejge-4329	59	1	the	the	DET
ejge-4329	59	2	equilibrium	equilibrium	NOUN
ejge-4329	59	3	is	be	AUX
ejge-4329	59	4	defined	define	VERB
ejge-4329	59	5	as	as	SCONJ
ejge-4329	59	6	follows	follow	VERB
ejge-4329	59	7	:	:	PUNCT
ejge-4329	59	8	(	(	PUNCT
ejge-4329	59	9	i	i	NOUN
ejge-4329	59	10	)	)	PUNCT
ejge-4329	59	11	the	the	DET
ejge-4329	59	12	producer	producer	NOUN
ejge-4329	59	13	and	and	CCONJ
ejge-4329	59	14	the	the	DET
ejge-4329	59	15	middleman	middleman	NOUN
ejge-4329	59	16	maximize	maximize	VERB
ejge-4329	59	17	their	their	PRON
ejge-4329	59	18	profits	profit	NOUN
ejge-4329	59	19	and	and	CCONJ
ejge-4329	59	20	the	the	DET
ejge-4329	59	21	consumer	consumer	NOUN
ejge-4329	59	22	maximizes	maximize	VERB
ejge-4329	59	23	her	her	PRON
ejge-4329	59	24	utility	utility	NOUN
ejge-4329	59	25	subject	subject	ADJ
ejge-4329	59	26	to	to	ADP
ejge-4329	59	27	the	the	DET
ejge-4329	59	28	constraints	constraint	NOUN
ejge-4329	59	29	they	they	PRON
ejge-4329	59	30	face	face	VERB
ejge-4329	59	31	(	(	PUNCT
ejge-4329	59	32	mentioned	mention	VERB
ejge-4329	59	33	in	in	ADP
ejge-4329	59	34	their	their	PRON
ejge-4329	59	35	individual	individual	ADJ
ejge-4329	59	36	dynamic	dynamic	ADJ
ejge-4329	59	37	optimization	optimization	NOUN
ejge-4329	59	38	problems	problem	NOUN
ejge-4329	59	39	in	in	ADP
ejge-4329	59	40	section	section	NOUN
ejge-4329	59	41	2	2	NUM
ejge-4329	59	42	)	)	PUNCT
ejge-4329	59	43	.	.	PUNCT
ejge-4329	60	1	(	(	PUNCT
ejge-4329	60	2	ii	ii	X
ejge-4329	60	3	)	)	PUNCT
ejge-4329	60	4	the	the	DET
ejge-4329	60	5	quantity	quantity	NOUN
ejge-4329	60	6	supplied	supply	VERB
ejge-4329	60	7	by	by	ADP
ejge-4329	60	8	the	the	DET
ejge-4329	60	9	producer	producer	NOUN
ejge-4329	60	10	equals	equal	VERB
ejge-4329	60	11	the	the	DET
ejge-4329	60	12	quantity	quantity	NOUN
ejge-4329	60	13	consumed	consume	VERB
ejge-4329	60	14	by	by	ADP
ejge-4329	60	15	the	the	DET
ejge-4329	60	16	consumer	consumer	NOUN
ejge-4329	60	17	(	(	PUNCT
ejge-4329	60	18	and	and	CCONJ
ejge-4329	60	19	hence	hence	ADV
ejge-4329	60	20	the	the	DET
ejge-4329	60	21	inventory	inventory	NOUN
ejge-4329	60	22	does	do	AUX
ejge-4329	60	23	not	not	PART
ejge-4329	60	24	change	change	VERB
ejge-4329	60	25	when	when	SCONJ
ejge-4329	60	26	the	the	DET
ejge-4329	60	27	market	market	NOUN
ejge-4329	60	28	is	be	AUX
ejge-4329	60	29	in	in	ADP
ejge-4329	60	30	equilibrium	equilibrium	NOUN
ejge-4329	60	31	)	)	PUNCT
ejge-4329	60	32	.	.	PUNCT
ejge-4329	61	1	the	the	DET
ejge-4329	61	2	conditions	condition	NOUN
ejge-4329	61	3	for	for	ADP
ejge-4329	61	4	the	the	DET
ejge-4329	61	5	existence	existence	NOUN
ejge-4329	61	6	of	of	ADP
ejge-4329	61	7	the	the	DET
ejge-4329	61	8	equilibrium	equilibrium	NOUN
ejge-4329	61	9	(	(	PUNCT
ejge-4329	61	10	routh	routh	PROPN
ejge-4329	61	11	–	–	PUNCT
ejge-4329	61	12	hurwitz	hurwitz	PROPN
ejge-4329	61	13	stability	stability	NOUN
ejge-4329	61	14	criterion	criterion	NOUN
ejge-4329	61	15	,	,	PUNCT
ejge-4329	61	16	which	which	PRON
ejge-4329	61	17	provides	provide	VERB
ejge-4329	61	18	a	a	DET
ejge-4329	61	19	necessary	necessary	ADJ
ejge-4329	61	20	and	and	CCONJ
ejge-4329	61	21	sufficient	sufficient	ADJ
ejge-4329	61	22	condition	condition	NOUN
ejge-4329	61	23	for	for	ADP
ejge-4329	61	24	the	the	DET
ejge-4329	61	25	stability	stability	NOUN
ejge-4329	61	26	of	of	ADP
ejge-4329	61	27	a	a	DET
ejge-4329	61	28	linear	linear	ADJ
ejge-4329	61	29	dynamical	dynamical	ADJ
ejge-4329	61	30	system	system	NOUN
ejge-4329	61	31	)	)	PUNCT
ejge-4329	61	32	have	have	AUX
ejge-4329	61	33	been	be	AUX
ejge-4329	61	34	mentioned	mention	VERB
ejge-4329	61	35	in	in	ADP
ejge-4329	61	36	section	section	NOUN
ejge-4329	61	37	3	3	NUM
ejge-4329	61	38	.	.	PUNCT
ejge-4329	62	1	as	as	SCONJ
ejge-4329	62	2	the	the	DET
ejge-4329	62	3	set	set	NOUN
ejge-4329	62	4	-	-	PUNCT
ejge-4329	62	5	up	up	NOUN
ejge-4329	62	6	is	be	AUX
ejge-4329	62	7	for	for	ADP
ejge-4329	62	8	a	a	DET
ejge-4329	62	9	perfectly	perfectly	ADV
ejge-4329	62	10	competitive	competitive	ADJ
ejge-4329	62	11	market	market	NOUN
ejge-4329	62	12	,	,	PUNCT
ejge-4329	62	13	therefore	therefore	ADV
ejge-4329	62	14	,	,	PUNCT
ejge-4329	62	15	the	the	DET
ejge-4329	62	16	middleman	middleman	NOUN
ejge-4329	62	17	who	who	PRON
ejge-4329	62	18	sells	sell	VERB
ejge-4329	62	19	the	the	DET
ejge-4329	62	20	goods	good	NOUN
ejge-4329	62	21	to	to	ADP
ejge-4329	62	22	the	the	DET
ejge-4329	62	23	consumer	consumer	NOUN
ejge-4329	62	24	at	at	ADP
ejge-4329	62	25	the	the	DET
ejge-4329	62	26	market	market	NOUN
ejge-4329	62	27	price	price	NOUN
ejge-4329	62	28	is	be	AUX
ejge-4329	62	29	a	a	DET
ejge-4329	62	30	price	price	NOUN
ejge-4329	62	31	taker	taker	NOUN
ejge-4329	62	32	when	when	SCONJ
ejge-4329	62	33	the	the	DET
ejge-4329	62	34	market	market	NOUN
ejge-4329	62	35	is	be	AUX
ejge-4329	62	36	in	in	ADP
ejge-4329	62	37	equilibrium	equilibrium	NOUN
ejge-4329	62	38	.	.	PUNCT
ejge-4329	63	1	when	when	SCONJ
ejge-4329	63	2	the	the	DET
ejge-4329	63	3	market	market	NOUN
ejge-4329	63	4	is	be	AUX
ejge-4329	63	5	out	out	ADP
ejge-4329	63	6	of	of	ADP
ejge-4329	63	7	equilibrium	equilibrium	NOUN
ejge-4329	63	8	,	,	PUNCT
ejge-4329	63	9	the	the	DET
ejge-4329	63	10	middleman	middleman	NOUN
ejge-4329	63	11	can	can	AUX
ejge-4329	63	12	change	change	VERB
ejge-4329	63	13	the	the	DET
ejge-4329	63	14	price	price	NOUN
ejge-4329	63	15	along	along	ADP
ejge-4329	63	16	the	the	DET
ejge-4329	63	17	dynamic	dynamic	ADJ
ejge-4329	63	18	adjustment	adjustment	NOUN
ejge-4329	63	19	path	path	NOUN
ejge-4329	63	20	until	until	SCONJ
ejge-4329	63	21	the	the	DET
ejge-4329	63	22	new	new	ADJ
ejge-4329	63	23	equilibrium	equilibrium	NOUN
ejge-4329	63	24	arrives	arrive	VERB
ejge-4329	63	25	,	,	PUNCT
ejge-4329	63	26	where	where	SCONJ
ejge-4329	63	27	again	again	ADV
ejge-4329	63	28	the	the	DET
ejge-4329	63	29	middleman	middleman	NOUN
ejge-4329	63	30	becomes	become	VERB
ejge-4329	63	31	a	a	DET
ejge-4329	63	32	price	price	NOUN
ejge-4329	63	33	taker	taker	NOUN
ejge-4329	63	34	.	.	PUNCT
ejge-4329	64	1	the	the	DET
ejge-4329	64	2	government	government	NOUN
ejge-4329	64	3	announces	announce	VERB
ejge-4329	64	4	and	and	CCONJ
ejge-4329	64	5	imposes	impose	VERB
ejge-4329	64	6	a	a	DET
ejge-4329	64	7	commodity	commodity	NOUN
ejge-4329	64	8	tax	tax	NOUN
ejge-4329	64	9	at	at	ADP
ejge-4329	64	10	the	the	DET
ejge-4329	64	11	same	same	ADJ
ejge-4329	64	12	time	time	NOUN
ejge-4329	64	13	(	(	PUNCT
ejge-4329	64	14	the	the	DET
ejge-4329	64	15	expectations	expectation	NOUN
ejge-4329	64	16	of	of	ADP
ejge-4329	64	17	the	the	DET
ejge-4329	64	18	agents	agent	NOUN
ejge-4329	64	19	will	will	AUX
ejge-4329	64	20	be	be	AUX
ejge-4329	64	21	taken	take	VERB
ejge-4329	64	22	into	into	ADP
ejge-4329	64	23	account	account	NOUN
ejge-4329	64	24	in	in	ADP
ejge-4329	64	25	a	a	DET
ejge-4329	64	26	future	future	ADJ
ejge-4329	64	27	research	research	NOUN
ejge-4329	64	28	project	project	NOUN
ejge-4329	64	29	when	when	SCONJ
ejge-4329	64	30	the	the	DET
ejge-4329	64	31	dates	date	NOUN
ejge-4329	64	32	194	194	NUM
ejge-4329	64	33	n.	n.	NOUN
ejge-4329	64	34	nawaz	nawaz	PROPN
ejge-4329	64	35	/	/	SYM
ejge-4329	64	36	european	european	ADJ
ejge-4329	64	37	journal	journal	PROPN
ejge-4329	64	38	of	of	ADP
ejge-4329	64	39	government	government	NOUN
ejge-4329	64	40	and	and	CCONJ
ejge-4329	64	41	economics	economic	NOUN
ejge-4329	64	42	6(2	6(2	NUM
ejge-4329	64	43	)	)	PUNCT
ejge-4329	64	44	,	,	PUNCT
ejge-4329	64	45	191	191	NUM
ejge-4329	64	46	-	-	SYM
ejge-4329	64	47	225	225	NUM
ejge-4329	64	48	of	of	ADP
ejge-4329	64	49	announcement	announcement	NOUN
ejge-4329	64	50	and	and	CCONJ
ejge-4329	64	51	implementation	implementation	NOUN
ejge-4329	64	52	of	of	ADP
ejge-4329	64	53	the	the	DET
ejge-4329	64	54	tax	tax	NOUN
ejge-4329	64	55	are	be	AUX
ejge-4329	64	56	different	different	ADJ
ejge-4329	64	57	)	)	PUNCT
ejge-4329	64	58	.	.	PUNCT
ejge-4329	65	1	when	when	SCONJ
ejge-4329	65	2	a	a	DET
ejge-4329	65	3	commodity/	commodity/	NUM
ejge-4329	65	4	quantity	quantity	NOUN
ejge-4329	65	5	tax	tax	NOUN
ejge-4329	65	6	is	be	AUX
ejge-4329	65	7	imposed	impose	VERB
ejge-4329	65	8	,	,	PUNCT
ejge-4329	65	9	the	the	DET
ejge-4329	65	10	market	market	NOUN
ejge-4329	65	11	does	do	AUX
ejge-4329	65	12	not	not	PART
ejge-4329	65	13	suddenly	suddenly	ADV
ejge-4329	65	14	jump	jump	VERB
ejge-4329	65	15	to	to	ADP
ejge-4329	65	16	the	the	DET
ejge-4329	65	17	post	post	ADJ
ejge-4329	65	18	-	-	ADJ
ejge-4329	65	19	tax	tax	ADJ
ejge-4329	65	20	market	market	NOUN
ejge-4329	65	21	equilibrium	equilibrium	NOUN
ejge-4329	65	22	,	,	PUNCT
ejge-4329	65	23	rather	rather	ADV
ejge-4329	65	24	the	the	DET
ejge-4329	65	25	price	price	NOUN
ejge-4329	65	26	adjusts	adjust	VERB
ejge-4329	65	27	over	over	ADP
ejge-4329	65	28	time	time	NOUN
ejge-4329	65	29	to	to	PART
ejge-4329	65	30	bring	bring	VERB
ejge-4329	65	31	the	the	DET
ejge-4329	65	32	new	new	ADJ
ejge-4329	65	33	equilibrium	equilibrium	NOUN
ejge-4329	65	34	.	.	PUNCT
ejge-4329	66	1	this	this	DET
ejge-4329	66	2	adjustment	adjustment	NOUN
ejge-4329	66	3	process	process	NOUN
ejge-4329	66	4	involves	involve	VERB
ejge-4329	66	5	endogenous	endogenous	ADJ
ejge-4329	66	6	decision	decision	NOUN
ejge-4329	66	7	making	making	NOUN
ejge-4329	66	8	(	(	PUNCT
ejge-4329	66	9	in	in	ADP
ejge-4329	66	10	their	their	PRON
ejge-4329	66	11	own	own	ADJ
ejge-4329	66	12	interest	interest	NOUN
ejge-4329	66	13	)	)	PUNCT
ejge-4329	66	14	by	by	ADP
ejge-4329	66	15	all	all	DET
ejge-4329	66	16	the	the	DET
ejge-4329	66	17	agents	agent	NOUN
ejge-4329	66	18	in	in	ADP
ejge-4329	66	19	the	the	DET
ejge-4329	66	20	market	market	NOUN
ejge-4329	66	21	,	,	PUNCT
ejge-4329	66	22	i.e.	i.e.	X
ejge-4329	66	23	consumer	consumer	NOUN
ejge-4329	66	24	,	,	PUNCT
ejge-4329	66	25	producer	producer	NOUN
ejge-4329	66	26	and	and	CCONJ
ejge-4329	66	27	the	the	DET
ejge-4329	66	28	middleman	middleman	NOUN
ejge-4329	66	29	as	as	SCONJ
ejge-4329	66	30	follows	follow	VERB
ejge-4329	66	31	:	:	PUNCT
ejge-4329	66	32	suppose	suppose	VERB
ejge-4329	66	33	there	there	PRON
ejge-4329	66	34	is	be	VERB
ejge-4329	66	35	a	a	DET
ejge-4329	66	36	producer	producer	NOUN
ejge-4329	66	37	in	in	ADP
ejge-4329	66	38	a	a	DET
ejge-4329	66	39	market	market	NOUN
ejge-4329	66	40	who	who	PRON
ejge-4329	66	41	produces	produce	VERB
ejge-4329	66	42	a	a	DET
ejge-4329	66	43	perishable	perishable	ADJ
ejge-4329	66	44	good	good	NOUN
ejge-4329	66	45	and	and	CCONJ
ejge-4329	66	46	sells	sell	VERB
ejge-4329	66	47	it	it	PRON
ejge-4329	66	48	to	to	ADP
ejge-4329	66	49	a	a	DET
ejge-4329	66	50	middleman	middleman	NOUN
ejge-4329	66	51	who	who	PRON
ejge-4329	66	52	further	far	ADV
ejge-4329	66	53	sells	sell	VERB
ejge-4329	66	54	it	it	PRON
ejge-4329	66	55	to	to	ADP
ejge-4329	66	56	a	a	DET
ejge-4329	66	57	consumer	consumer	NOUN
ejge-4329	66	58	living	live	VERB
ejge-4329	66	59	in	in	ADP
ejge-4329	66	60	a	a	DET
ejge-4329	66	61	community	community	NOUN
ejge-4329	66	62	.	.	PUNCT
ejge-4329	67	1	the	the	DET
ejge-4329	67	2	producer	producer	NOUN
ejge-4329	67	3	and	and	CCONJ
ejge-4329	67	4	the	the	DET
ejge-4329	67	5	middleman	middleman	NOUN
ejge-4329	67	6	sell	sell	VERB
ejge-4329	67	7	a	a	DET
ejge-4329	67	8	quantity	quantity	NOUN
ejge-4329	67	9	exactly	exactly	ADV
ejge-4329	67	10	equal	equal	ADJ
ejge-4329	67	11	to	to	ADP
ejge-4329	67	12	the	the	DET
ejge-4329	67	13	quantity	quantity	NOUN
ejge-4329	67	14	the	the	DET
ejge-4329	67	15	producer	producer	NOUN
ejge-4329	67	16	produces	produce	VERB
ejge-4329	67	17	in	in	ADP
ejge-4329	67	18	each	each	DET
ejge-4329	67	19	time	time	NOUN
ejge-4329	67	20	period	period	NOUN
ejge-4329	67	21	,	,	PUNCT
ejge-4329	67	22	and	and	CCONJ
ejge-4329	67	23	the	the	DET
ejge-4329	67	24	market	market	NOUN
ejge-4329	67	25	stays	stay	VERB
ejge-4329	67	26	in	in	ADP
ejge-4329	67	27	equilibrium	equilibrium	NOUN
ejge-4329	67	28	.	.	PUNCT
ejge-4329	68	1	if	if	SCONJ
ejge-4329	68	2	the	the	DET
ejge-4329	68	3	government	government	NOUN
ejge-4329	68	4	announces	announce	VERB
ejge-4329	68	5	and	and	CCONJ
ejge-4329	68	6	imposes	impose	VERB
ejge-4329	68	7	a	a	DET
ejge-4329	68	8	commodity	commodity	NOUN
ejge-4329	68	9	tax	tax	NOUN
ejge-4329	68	10	on	on	ADP
ejge-4329	68	11	the	the	DET
ejge-4329	68	12	buyer	buyer	NOUN
ejge-4329	68	13	,	,	PUNCT
ejge-4329	68	14	which	which	PRON
ejge-4329	68	15	decreases	decrease	VERB
ejge-4329	68	16	the	the	DET
ejge-4329	68	17	demand	demand	NOUN
ejge-4329	68	18	of	of	ADP
ejge-4329	68	19	this	this	DET
ejge-4329	68	20	product	product	NOUN
ejge-4329	68	21	,	,	PUNCT
ejge-4329	68	22	some	some	PRON
ejge-4329	68	23	of	of	ADP
ejge-4329	68	24	the	the	DET
ejge-4329	68	25	production	production	NOUN
ejge-4329	68	26	sold	sell	VERB
ejge-4329	68	27	to	to	ADP
ejge-4329	68	28	the	the	DET
ejge-4329	68	29	middleman	middleman	NOUN
ejge-4329	68	30	will	will	AUX
ejge-4329	68	31	remain	remain	VERB
ejge-4329	68	32	unsold	unsold	ADJ
ejge-4329	68	33	to	to	ADP
ejge-4329	68	34	the	the	DET
ejge-4329	68	35	consumer	consumer	NOUN
ejge-4329	68	36	and	and	CCONJ
ejge-4329	68	37	be	be	AUX
ejge-4329	68	38	wasted	waste	VERB
ejge-4329	68	39	by	by	ADP
ejge-4329	68	40	the	the	DET
ejge-4329	68	41	end	end	NOUN
ejge-4329	68	42	of	of	ADP
ejge-4329	68	43	the	the	DET
ejge-4329	68	44	time	time	NOUN
ejge-4329	68	45	period	period	NOUN
ejge-4329	68	46	in	in	ADP
ejge-4329	68	47	which	which	PRON
ejge-4329	68	48	the	the	DET
ejge-4329	68	49	tax	tax	NOUN
ejge-4329	68	50	was	be	AUX
ejge-4329	68	51	imposed	impose	VERB
ejge-4329	68	52	.	.	PUNCT
ejge-4329	69	1	assuming	assume	VERB
ejge-4329	69	2	that	that	SCONJ
ejge-4329	69	3	the	the	DET
ejge-4329	69	4	producer	producer	NOUN
ejge-4329	69	5	and	and	CCONJ
ejge-4329	69	6	the	the	DET
ejge-4329	69	7	middleman	middleman	NOUN
ejge-4329	69	8	can	can	AUX
ejge-4329	69	9	change	change	VERB
ejge-4329	69	10	the	the	DET
ejge-4329	69	11	production	production	NOUN
ejge-4329	69	12	and	and	CCONJ
ejge-4329	69	13	the	the	DET
ejge-4329	69	14	price	price	NOUN
ejge-4329	69	15	respectively	respectively	ADV
ejge-4329	69	16	,	,	PUNCT
ejge-4329	69	17	immediately	immediately	ADV
ejge-4329	69	18	,	,	PUNCT
ejge-4329	69	19	had	have	AUX
ejge-4329	69	20	they	they	PRON
ejge-4329	69	21	known	know	VERB
ejge-4329	69	22	the	the	DET
ejge-4329	69	23	exact	exact	ADJ
ejge-4329	69	24	pattern	pattern	NOUN
ejge-4329	69	25	of	of	ADP
ejge-4329	69	26	new	new	ADJ
ejge-4329	69	27	demand	demand	NOUN
ejge-4329	69	28	,	,	PUNCT
ejge-4329	69	29	they	they	PRON
ejge-4329	69	30	would	would	AUX
ejge-4329	69	31	immediately	immediately	ADV
ejge-4329	69	32	pick	pick	VERB
ejge-4329	69	33	the	the	DET
ejge-4329	69	34	quantity	quantity	NOUN
ejge-4329	69	35	(	(	PUNCT
ejge-4329	69	36	by	by	ADP
ejge-4329	69	37	the	the	DET
ejge-4329	69	38	producer	producer	NOUN
ejge-4329	69	39	)	)	PUNCT
ejge-4329	69	40	and	and	CCONJ
ejge-4329	69	41	the	the	DET
ejge-4329	69	42	price	price	NOUN
ejge-4329	69	43	(	(	PUNCT
ejge-4329	69	44	by	by	ADP
ejge-4329	69	45	the	the	DET
ejge-4329	69	46	middleman	middleman	NOUN
ejge-4329	69	47	)	)	PUNCT
ejge-4329	69	48	to	to	PART
ejge-4329	69	49	maximize	maximize	VERB
ejge-4329	69	50	their	their	PRON
ejge-4329	69	51	profits	profit	NOUN
ejge-4329	69	52	and	and	CCONJ
ejge-4329	69	53	clear	clear	VERB
ejge-4329	69	54	the	the	DET
ejge-4329	69	55	market	market	NOUN
ejge-4329	69	56	without	without	ADP
ejge-4329	69	57	wasting	waste	VERB
ejge-4329	69	58	the	the	DET
ejge-4329	69	59	production	production	NOUN
ejge-4329	69	60	.	.	PUNCT
ejge-4329	70	1	however	however	ADV
ejge-4329	70	2	,	,	PUNCT
ejge-4329	70	3	they	they	PRON
ejge-4329	70	4	lack	lack	VERB
ejge-4329	70	5	this	this	DET
ejge-4329	70	6	information	information	NOUN
ejge-4329	70	7	,	,	PUNCT
ejge-4329	70	8	so	so	CCONJ
ejge-4329	70	9	the	the	DET
ejge-4329	70	10	middleman	middleman	NOUN
ejge-4329	70	11	decreases	decrease	VERB
ejge-4329	70	12	the	the	DET
ejge-4329	70	13	price	price	NOUN
ejge-4329	70	14	based	base	VERB
ejge-4329	70	15	on	on	ADP
ejge-4329	70	16	her	her	PRON
ejge-4329	70	17	best	good	ADJ
ejge-4329	70	18	guess	guess	NOUN
ejge-4329	70	19	about	about	ADP
ejge-4329	70	20	the	the	DET
ejge-4329	70	21	new	new	ADJ
ejge-4329	70	22	demand	demand	NOUN
ejge-4329	70	23	(	(	PUNCT
ejge-4329	70	24	based	base	VERB
ejge-4329	70	25	on	on	ADP
ejge-4329	70	26	the	the	DET
ejge-4329	70	27	quantity	quantity	NOUN
ejge-4329	70	28	of	of	ADP
ejge-4329	70	29	the	the	DET
ejge-4329	70	30	unsold	unsold	ADJ
ejge-4329	70	31	production	production	NOUN
ejge-4329	70	32	)	)	PUNCT
ejge-4329	70	33	,	,	PUNCT
ejge-4329	70	34	driving	drive	VERB
ejge-4329	70	35	the	the	DET
ejge-4329	70	36	market	market	NOUN
ejge-4329	70	37	close	close	ADV
ejge-4329	70	38	to	to	ADP
ejge-4329	70	39	the	the	DET
ejge-4329	70	40	new	new	ADJ
ejge-4329	70	41	equilibrium	equilibrium	NOUN
ejge-4329	70	42	.	.	PUNCT
ejge-4329	71	1	at	at	ADP
ejge-4329	71	2	the	the	DET
ejge-4329	71	3	lower	low	ADJ
ejge-4329	71	4	price	price	NOUN
ejge-4329	71	5	,	,	PUNCT
ejge-4329	71	6	the	the	DET
ejge-4329	71	7	producer	producer	NOUN
ejge-4329	71	8	produces	produce	VERB
ejge-4329	71	9	a	a	DET
ejge-4329	71	10	lower	low	ADJ
ejge-4329	71	11	quantity	quantity	NOUN
ejge-4329	71	12	than	than	ADP
ejge-4329	71	13	before	before	ADV
ejge-4329	71	14	.	.	PUNCT
ejge-4329	72	1	if	if	SCONJ
ejge-4329	72	2	in	in	ADP
ejge-4329	72	3	the	the	DET
ejge-4329	72	4	following	following	ADJ
ejge-4329	72	5	time	time	NOUN
ejge-4329	72	6	period	period	NOUN
ejge-4329	72	7	,	,	PUNCT
ejge-4329	72	8	his	his	PRON
ejge-4329	72	9	production	production	NOUN
ejge-4329	72	10	sold	sell	VERB
ejge-4329	72	11	to	to	ADP
ejge-4329	72	12	the	the	DET
ejge-4329	72	13	middleman	middleman	NOUN
ejge-4329	72	14	is	be	AUX
ejge-4329	72	15	fully	fully	ADV
ejge-4329	72	16	sold	sell	VERB
ejge-4329	72	17	out	out	ADP
ejge-4329	72	18	to	to	ADP
ejge-4329	72	19	the	the	DET
ejge-4329	72	20	consumer	consumer	NOUN
ejge-4329	72	21	,	,	PUNCT
ejge-4329	72	22	he	he	PRON
ejge-4329	72	23	will	will	AUX
ejge-4329	72	24	know	know	VERB
ejge-4329	72	25	that	that	SCONJ
ejge-4329	72	26	the	the	DET
ejge-4329	72	27	new	new	ADJ
ejge-4329	72	28	equilibrium	equilibrium	NOUN
ejge-4329	72	29	has	have	AUX
ejge-4329	72	30	arrived	arrive	VERB
ejge-4329	72	31	,	,	PUNCT
ejge-4329	72	32	however	however	ADV
ejge-4329	72	33	,	,	PUNCT
ejge-4329	72	34	if	if	SCONJ
ejge-4329	72	35	a	a	DET
ejge-4329	72	36	part	part	NOUN
ejge-4329	72	37	of	of	ADP
ejge-4329	72	38	his	his	PRON
ejge-4329	72	39	production	production	NOUN
ejge-4329	72	40	still	still	ADV
ejge-4329	72	41	remains	remain	VERB
ejge-4329	72	42	unsold	unsold	ADJ
ejge-4329	72	43	,	,	PUNCT
ejge-4329	72	44	the	the	DET
ejge-4329	72	45	middleman	middleman	NOUN
ejge-4329	72	46	will	will	AUX
ejge-4329	72	47	reduce	reduce	VERB
ejge-4329	72	48	the	the	DET
ejge-4329	72	49	price	price	NOUN
ejge-4329	72	50	further	far	ADV
ejge-4329	72	51	(	(	PUNCT
ejge-4329	72	52	and	and	CCONJ
ejge-4329	72	53	the	the	DET
ejge-4329	72	54	producer	producer	NOUN
ejge-4329	72	55	,	,	PUNCT
ejge-4329	72	56	the	the	DET
ejge-4329	72	57	production	production	NOUN
ejge-4329	72	58	accordingly	accordingly	ADV
ejge-4329	72	59	)	)	PUNCT
ejge-4329	72	60	to	to	PART
ejge-4329	72	61	bring	bring	VERB
ejge-4329	72	62	the	the	DET
ejge-4329	72	63	market	market	NOUN
ejge-4329	72	64	closer	close	ADV
ejge-4329	72	65	to	to	ADP
ejge-4329	72	66	the	the	DET
ejge-4329	72	67	new	new	ADJ
ejge-4329	72	68	equilibrium	equilibrium	NOUN
ejge-4329	72	69	.	.	PUNCT
ejge-4329	73	1	the	the	DET
ejge-4329	73	2	market	market	NOUN
ejge-4329	73	3	will	will	AUX
ejge-4329	73	4	eventually	eventually	ADV
ejge-4329	73	5	settle	settle	VERB
ejge-4329	73	6	at	at	ADP
ejge-4329	73	7	the	the	DET
ejge-4329	73	8	new	new	ADJ
ejge-4329	73	9	equilibrium	equilibrium	NOUN
ejge-4329	73	10	after	after	ADP
ejge-4329	73	11	some	some	DET
ejge-4329	73	12	efficiency	efficiency	NOUN
ejge-4329	73	13	loss	loss	NOUN
ejge-4329	73	14	.	.	PUNCT
ejge-4329	74	1	the	the	DET
ejge-4329	74	2	resources	resource	NOUN
ejge-4329	74	3	wasted	waste	VERB
ejge-4329	74	4	by	by	ADP
ejge-4329	74	5	the	the	DET
ejge-4329	74	6	imposition	imposition	NOUN
ejge-4329	74	7	of	of	ADP
ejge-4329	74	8	the	the	DET
ejge-4329	74	9	tax	tax	NOUN
ejge-4329	74	10	are	be	AUX
ejge-4329	74	11	those	those	PRON
ejge-4329	74	12	that	that	PRON
ejge-4329	74	13	went	go	VERB
ejge-4329	74	14	into	into	ADP
ejge-4329	74	15	the	the	DET
ejge-4329	74	16	unsold	unsold	ADJ
ejge-4329	74	17	production	production	NOUN
ejge-4329	74	18	in	in	ADP
ejge-4329	74	19	each	each	DET
ejge-4329	74	20	timeperiod	timeperiod	NOUN
ejge-4329	74	21	during	during	ADP
ejge-4329	74	22	the	the	DET
ejge-4329	74	23	adjustment	adjustment	NOUN
ejge-4329	74	24	process	process	NOUN
ejge-4329	74	25	.	.	PUNCT
ejge-4329	75	1	a	a	DET
ejge-4329	75	2	new	new	ADJ
ejge-4329	75	3	equilibrium	equilibrium	NOUN
ejge-4329	75	4	with	with	ADP
ejge-4329	75	5	a	a	DET
ejge-4329	75	6	deadweight	deadweight	NOUN
ejge-4329	75	7	loss	loss	NOUN
ejge-4329	75	8	due	due	ADP
ejge-4329	75	9	to	to	ADP
ejge-4329	75	10	commodity	commodity	NOUN
ejge-4329	75	11	taxation	taxation	NOUN
ejge-4329	75	12	is	be	AUX
ejge-4329	75	13	finally	finally	ADV
ejge-4329	75	14	arrived	arrive	VERB
ejge-4329	75	15	at	at	ADP
ejge-4329	75	16	.	.	PUNCT
ejge-4329	76	1	the	the	DET
ejge-4329	76	2	total	total	ADJ
ejge-4329	76	3	efficiency	efficiency	NOUN
ejge-4329	76	4	loss	loss	NOUN
ejge-4329	76	5	because	because	SCONJ
ejge-4329	76	6	of	of	ADP
ejge-4329	76	7	commodity	commodity	NOUN
ejge-4329	76	8	taxation	taxation	NOUN
ejge-4329	76	9	is	be	AUX
ejge-4329	76	10	the	the	DET
ejge-4329	76	11	loss	loss	NOUN
ejge-4329	76	12	during	during	ADP
ejge-4329	76	13	the	the	DET
ejge-4329	76	14	adjustment	adjustment	NOUN
ejge-4329	76	15	process	process	NOUN
ejge-4329	76	16	plus	plus	CCONJ
ejge-4329	76	17	the	the	DET
ejge-4329	76	18	loss	loss	NOUN
ejge-4329	76	19	in	in	ADP
ejge-4329	76	20	the	the	DET
ejge-4329	76	21	final	final	ADJ
ejge-4329	76	22	equilibrium	equilibrium	NOUN
ejge-4329	76	23	.	.	PUNCT
ejge-4329	77	1	for	for	ADP
ejge-4329	77	2	the	the	DET
ejge-4329	77	3	mathematical	mathematical	ADJ
ejge-4329	77	4	treatment	treatment	NOUN
ejge-4329	77	5	,	,	PUNCT
ejge-4329	77	6	the	the	DET
ejge-4329	77	7	objective	objective	NOUN
ejge-4329	77	8	of	of	ADP
ejge-4329	77	9	each	each	PRON
ejge-4329	77	10	of	of	ADP
ejge-4329	77	11	the	the	DET
ejge-4329	77	12	three	three	NUM
ejge-4329	77	13	market	market	NOUN
ejge-4329	77	14	agents	agent	NOUN
ejge-4329	77	15	is	be	AUX
ejge-4329	77	16	maximized	maximize	VERB
ejge-4329	77	17	through	through	ADP
ejge-4329	77	18	the	the	DET
ejge-4329	77	19	first	first	ADJ
ejge-4329	77	20	order	order	NOUN
ejge-4329	77	21	conditions	condition	NOUN
ejge-4329	77	22	of	of	ADP
ejge-4329	77	23	their	their	PRON
ejge-4329	77	24	objective	objective	ADJ
ejge-4329	77	25	functions	function	NOUN
ejge-4329	77	26	and	and	CCONJ
ejge-4329	77	27	to	to	PART
ejge-4329	77	28	capture	capture	VERB
ejge-4329	77	29	the	the	DET
ejge-4329	77	30	collective	collective	ADJ
ejge-4329	77	31	result	result	NOUN
ejge-4329	77	32	of	of	ADP
ejge-4329	77	33	their	their	PRON
ejge-4329	77	34	individual	individual	ADJ
ejge-4329	77	35	actions	action	NOUN
ejge-4329	77	36	,	,	PUNCT
ejge-4329	77	37	the	the	DET
ejge-4329	77	38	equations	equation	NOUN
ejge-4329	77	39	representing	represent	VERB
ejge-4329	77	40	their	their	PRON
ejge-4329	77	41	individual	individual	ADJ
ejge-4329	77	42	actions	action	NOUN
ejge-4329	77	43	are	be	AUX
ejge-4329	77	44	solved	solve	VERB
ejge-4329	77	45	simultaneously	simultaneously	ADV
ejge-4329	77	46	.	.	PUNCT
ejge-4329	78	1	for	for	ADP
ejge-4329	78	2	simplification	simplification	NOUN
ejge-4329	78	3	,	,	PUNCT
ejge-4329	78	4	we	we	PRON
ejge-4329	78	5	assume	assume	VERB
ejge-4329	78	6	that	that	SCONJ
ejge-4329	78	7	after	after	ADP
ejge-4329	78	8	the	the	DET
ejge-4329	78	9	imposition	imposition	NOUN
ejge-4329	78	10	of	of	ADP
ejge-4329	78	11	the	the	DET
ejge-4329	78	12	quantity	quantity	NOUN
ejge-4329	78	13	tax	tax	NOUN
ejge-4329	78	14	,	,	PUNCT
ejge-4329	78	15	the	the	DET
ejge-4329	78	16	new	new	ADJ
ejge-4329	78	17	equilibrium	equilibrium	NOUN
ejge-4329	78	18	is	be	AUX
ejge-4329	78	19	not	not	PART
ejge-4329	78	20	too	too	ADV
ejge-4329	78	21	far	far	ADV
ejge-4329	78	22	from	from	ADP
ejge-4329	78	23	the	the	DET
ejge-4329	78	24	initial	initial	ADJ
ejge-4329	78	25	equilibrium	equilibrium	NOUN
ejge-4329	78	26	.	.	PUNCT
ejge-4329	79	1	this	this	DET
ejge-4329	79	2	assumption	assumption	NOUN
ejge-4329	79	3	makes	make	VERB
ejge-4329	79	4	the	the	DET
ejge-4329	79	5	linearization	linearization	NOUN
ejge-4329	79	6	of	of	ADP
ejge-4329	79	7	supply	supply	NOUN
ejge-4329	79	8	and	and	CCONJ
ejge-4329	79	9	demand	demand	NOUN
ejge-4329	79	10	curves	curve	NOUN
ejge-4329	79	11	quite	quite	ADV
ejge-4329	79	12	reasonable	reasonable	ADJ
ejge-4329	79	13	;	;	PUNCT
ejge-4329	79	14	see	see	VERB
ejge-4329	79	15	figure	figure	NOUN
ejge-4329	79	16	1	1	NUM
ejge-4329	79	17	(	(	PUNCT
ejge-4329	79	18	the	the	DET
ejge-4329	79	19	time	time	NOUN
ejge-4329	79	20	axis	axis	NOUN
ejge-4329	79	21	is	be	AUX
ejge-4329	79	22	not	not	PART
ejge-4329	79	23	shown	show	VERB
ejge-4329	79	24	)	)	PUNCT
ejge-4329	79	25	.	.	PUNCT
ejge-4329	80	1	linearization	linearization	NOUN
ejge-4329	80	2	seems	seem	VERB
ejge-4329	80	3	to	to	PART
ejge-4329	80	4	be	be	AUX
ejge-4329	80	5	a	a	DET
ejge-4329	80	6	good	good	ADJ
ejge-4329	80	7	approximation	approximation	NOUN
ejge-4329	80	8	when	when	SCONJ
ejge-4329	80	9	we	we	PRON
ejge-4329	80	10	move	move	VERB
ejge-4329	80	11	from	from	ADP
ejge-4329	80	12	point	point	NOUN
ejge-4329	80	13	a	a	DET
ejge-4329	80	14	to	to	ADP
ejge-4329	80	15	b	b	NOUN
ejge-4329	80	16	,	,	PUNCT
ejge-4329	80	17	whereas	whereas	SCONJ
ejge-4329	80	18	it	it	PRON
ejge-4329	80	19	is	be	AUX
ejge-4329	80	20	not	not	PART
ejge-4329	80	21	a	a	DET
ejge-4329	80	22	good	good	ADJ
ejge-4329	80	23	approximation	approximation	NOUN
ejge-4329	80	24	when	when	SCONJ
ejge-4329	80	25	we	we	PRON
ejge-4329	80	26	move	move	VERB
ejge-4329	80	27	from	from	ADP
ejge-4329	80	28	point	point	NOUN
ejge-4329	80	29	a	a	PRON
ejge-4329	80	30	to	to	ADP
ejge-4329	80	31	c.	c.	NOUN
ejge-4329	80	32	for	for	ADP
ejge-4329	80	33	modeling	model	VERB
ejge-4329	80	34	the	the	DET
ejge-4329	80	35	movement	movement	NOUN
ejge-4329	80	36	of	of	ADP
ejge-4329	80	37	the	the	DET
ejge-4329	80	38	market	market	NOUN
ejge-4329	80	39	from	from	ADP
ejge-4329	80	40	point	point	NOUN
ejge-4329	80	41	a	a	DET
ejge-4329	80	42	to	to	ADP
ejge-4329	80	43	c	c	NOUN
ejge-4329	80	44	,	,	PUNCT
ejge-4329	80	45	we	we	PRON
ejge-4329	80	46	need	need	VERB
ejge-4329	80	47	to	to	PART
ejge-4329	80	48	model	model	VERB
ejge-4329	80	49	a	a	DET
ejge-4329	80	50	non	non	ADJ
ejge-4329	80	51	-	-	ADJ
ejge-4329	80	52	linear	linear	ADJ
ejge-4329	80	53	dynamical	dynamical	ADJ
ejge-4329	80	54	system	system	NOUN
ejge-4329	80	55	(	(	PUNCT
ejge-4329	80	56	which	which	PRON
ejge-4329	80	57	is	be	AUX
ejge-4329	80	58	not	not	PART
ejge-4329	80	59	covered	cover	VERB
ejge-4329	80	60	under	under	ADP
ejge-4329	80	61	the	the	DET
ejge-4329	80	62	scope	scope	NOUN
ejge-4329	80	63	of	of	ADP
ejge-4329	80	64	this	this	DET
ejge-4329	80	65	paper	paper	NOUN
ejge-4329	80	66	)	)	PUNCT
ejge-4329	80	67	.	.	PUNCT
ejge-4329	81	1	195	195	NUM
ejge-4329	81	2	n.	n.	NOUN
ejge-4329	81	3	nawaz	nawaz	ADJ
ejge-4329	81	4	/	/	SYM
ejge-4329	81	5	european	european	ADJ
ejge-4329	81	6	journal	journal	PROPN
ejge-4329	81	7	of	of	ADP
ejge-4329	81	8	government	government	NOUN
ejge-4329	81	9	and	and	CCONJ
ejge-4329	81	10	economics	economic	NOUN
ejge-4329	81	11	6(2	6(2	NUM
ejge-4329	81	12	)	)	PUNCT
ejge-4329	81	13	,	,	PUNCT
ejge-4329	81	14	191	191	NUM
ejge-4329	81	15	-	-	SYM
ejge-4329	81	16	225	225	NUM
ejge-4329	81	17	figure	figure	NOUN
ejge-4329	81	18	1	1	NUM
ejge-4329	81	19	:	:	PUNCT
ejge-4329	81	20	when	when	SCONJ
ejge-4329	81	21	is	be	AUX
ejge-4329	81	22	linearity	linearity	NOUN
ejge-4329	81	23	a	a	DET
ejge-4329	81	24	reasonable	reasonable	ADJ
ejge-4329	81	25	assumption	assumption	NOUN
ejge-4329	81	26	?	?	PUNCT
ejge-4329	82	1	2.1	2.1	NUM
ejge-4329	82	2	middleman	middleman	NOUN
ejge-4329	82	3	the	the	DET
ejge-4329	82	4	middleman	middleman	NOUN
ejge-4329	82	5	purchases	purchase	VERB
ejge-4329	82	6	goods	good	NOUN
ejge-4329	82	7	from	from	ADP
ejge-4329	82	8	the	the	DET
ejge-4329	82	9	producer	producer	NOUN
ejge-4329	82	10	and	and	CCONJ
ejge-4329	82	11	sells	sell	VERB
ejge-4329	82	12	those	those	PRON
ejge-4329	82	13	to	to	ADP
ejge-4329	82	14	the	the	DET
ejge-4329	82	15	consumer	consumer	NOUN
ejge-4329	82	16	for	for	ADP
ejge-4329	82	17	profit	profit	NOUN
ejge-4329	82	18	.	.	PUNCT
ejge-4329	83	1	as	as	SCONJ
ejge-4329	83	2	happens	happen	VERB
ejge-4329	83	3	in	in	ADP
ejge-4329	83	4	the	the	DET
ejge-4329	83	5	real	real	ADJ
ejge-4329	83	6	world	world	NOUN
ejge-4329	83	7	,	,	PUNCT
ejge-4329	83	8	the	the	DET
ejge-4329	83	9	middleman	middleman	NOUN
ejge-4329	83	10	does	do	AUX
ejge-4329	83	11	not	not	PART
ejge-4329	83	12	buy	buy	VERB
ejge-4329	83	13	and	and	CCONJ
ejge-4329	83	14	sell	sell	VERB
ejge-4329	83	15	exactly	exactly	ADV
ejge-4329	83	16	the	the	DET
ejge-4329	83	17	same	same	ADJ
ejge-4329	83	18	quantity	quantity	NOUN
ejge-4329	83	19	at	at	ADV
ejge-4329	83	20	all	all	DET
ejge-4329	83	21	points	point	NOUN
ejge-4329	83	22	in	in	ADP
ejge-4329	83	23	time	time	NOUN
ejge-4329	83	24	,	,	PUNCT
ejge-4329	83	25	thus	thus	ADV
ejge-4329	83	26	he	he	PRON
ejge-4329	83	27	holds	hold	VERB
ejge-4329	83	28	an	an	DET
ejge-4329	83	29	inventory	inventory	NOUN
ejge-4329	83	30	of	of	ADP
ejge-4329	83	31	the	the	DET
ejge-4329	83	32	goods	good	NOUN
ejge-4329	83	33	purchased	purchase	VERB
ejge-4329	83	34	to	to	PART
ejge-4329	83	35	be	be	AUX
ejge-4329	83	36	sold	sell	VERB
ejge-4329	83	37	subsequently	subsequently	ADV
ejge-4329	83	38	.	.	PUNCT
ejge-4329	84	1	inventory	inventory	NOUN
ejge-4329	84	2	is	be	AUX
ejge-4329	84	3	an	an	DET
ejge-4329	84	4	intermediary	intermediary	ADJ
ejge-4329	84	5	stage	stage	NOUN
ejge-4329	84	6	between	between	ADP
ejge-4329	84	7	supply	supply	NOUN
ejge-4329	84	8	and	and	CCONJ
ejge-4329	84	9	demand	demand	NOUN
ejge-4329	84	10	which	which	PRON
ejge-4329	84	11	reflects	reflect	VERB
ejge-4329	84	12	the	the	DET
ejge-4329	84	13	quantum	quantum	NOUN
ejge-4329	84	14	of	of	ADP
ejge-4329	84	15	difference	difference	NOUN
ejge-4329	84	16	between	between	ADP
ejge-4329	84	17	supply	supply	NOUN
ejge-4329	84	18	and	and	CCONJ
ejge-4329	84	19	demand	demand	NOUN
ejge-4329	84	20	of	of	ADP
ejge-4329	84	21	the	the	DET
ejge-4329	84	22	goods	good	NOUN
ejge-4329	84	23	in	in	ADP
ejge-4329	84	24	the	the	DET
ejge-4329	84	25	market	market	NOUN
ejge-4329	84	26	.	.	PUNCT
ejge-4329	85	1	if	if	SCONJ
ejge-4329	85	2	the	the	DET
ejge-4329	85	3	inventory	inventory	NOUN
ejge-4329	85	4	remains	remain	VERB
ejge-4329	85	5	the	the	DET
ejge-4329	85	6	same	same	ADJ
ejge-4329	85	7	,	,	PUNCT
ejge-4329	85	8	it	it	PRON
ejge-4329	85	9	implies	imply	VERB
ejge-4329	85	10	that	that	SCONJ
ejge-4329	85	11	demand	demand	NOUN
ejge-4329	85	12	and	and	CCONJ
ejge-4329	85	13	supply	supply	NOUN
ejge-4329	85	14	rates	rate	NOUN
ejge-4329	85	15	are	be	AUX
ejge-4329	85	16	the	the	DET
ejge-4329	85	17	same	same	ADJ
ejge-4329	85	18	.	.	PUNCT
ejge-4329	86	1	an	an	DET
ejge-4329	86	2	increase	increase	NOUN
ejge-4329	86	3	or	or	CCONJ
ejge-4329	86	4	decrease	decrease	NOUN
ejge-4329	86	5	in	in	ADP
ejge-4329	86	6	inventory	inventory	NOUN
ejge-4329	86	7	implies	imply	VERB
ejge-4329	86	8	a	a	DET
ejge-4329	86	9	change	change	NOUN
ejge-4329	86	10	in	in	ADP
ejge-4329	86	11	supply	supply	NOUN
ejge-4329	86	12	,	,	PUNCT
ejge-4329	86	13	demand	demand	NOUN
ejge-4329	86	14	or	or	CCONJ
ejge-4329	86	15	both	both	CCONJ
ejge-4329	86	16	at	at	ADP
ejge-4329	86	17	different	different	ADJ
ejge-4329	86	18	rates	rate	NOUN
ejge-4329	86	19	.	.	PUNCT
ejge-4329	87	1	figure	figure	NOUN
ejge-4329	87	2	2	2	NUM
ejge-4329	87	3	helps	help	VERB
ejge-4329	87	4	to	to	PART
ejge-4329	87	5	understand	understand	VERB
ejge-4329	87	6	the	the	DET
ejge-4329	87	7	link	link	NOUN
ejge-4329	87	8	between	between	ADP
ejge-4329	87	9	inventory	inventory	NOUN
ejge-4329	87	10	,	,	PUNCT
ejge-4329	87	11	supply	supply	NOUN
ejge-4329	87	12	,	,	PUNCT
ejge-4329	87	13	demand	demand	NOUN
ejge-4329	87	14	and	and	CCONJ
ejge-4329	87	15	prices	price	NOUN
ejge-4329	87	16	.	.	PUNCT
ejge-4329	88	1	when	when	SCONJ
ejge-4329	88	2	the	the	DET
ejge-4329	88	3	supply	supply	NOUN
ejge-4329	88	4	curve	curve	VERB
ejge-4329	88	5	shifts	shift	NOUN
ejge-4329	88	6	to	to	ADP
ejge-4329	88	7	the	the	DET
ejge-4329	88	8	right	right	NOUN
ejge-4329	88	9	(	(	PUNCT
ejge-4329	88	10	while	while	SCONJ
ejge-4329	88	11	demand	demand	NOUN
ejge-4329	88	12	remains	remain	VERB
ejge-4329	88	13	the	the	DET
ejge-4329	88	14	same	same	ADJ
ejge-4329	88	15	)	)	PUNCT
ejge-4329	88	16	,	,	PUNCT
ejge-4329	88	17	the	the	DET
ejge-4329	88	18	inventory	inventory	NOUN
ejge-4329	88	19	in	in	ADP
ejge-4329	88	20	the	the	DET
ejge-4329	88	21	market	market	NOUN
ejge-4329	88	22	increases	increase	NOUN
ejge-4329	88	23	at	at	ADP
ejge-4329	88	24	the	the	DET
ejge-4329	88	25	initial	initial	ADJ
ejge-4329	88	26	price	price	NOUN
ejge-4329	88	27	,	,	PUNCT
ejge-4329	88	28	and	and	CCONJ
ejge-4329	88	29	the	the	DET
ejge-4329	88	30	new	new	ADJ
ejge-4329	88	31	equilibrium	equilibrium	NOUN
ejge-4329	88	32	brings	bring	VERB
ejge-4329	88	33	the	the	DET
ejge-4329	88	34	price	price	NOUN
ejge-4329	88	35	down	down	ADV
ejge-4329	88	36	.	.	PUNCT
ejge-4329	89	1	similarly	similarly	ADV
ejge-4329	89	2	,	,	PUNCT
ejge-4329	89	3	when	when	SCONJ
ejge-4329	89	4	the	the	DET
ejge-4329	89	5	demand	demand	NOUN
ejge-4329	89	6	curve	curve	VERB
ejge-4329	89	7	shifts	shift	NOUN
ejge-4329	89	8	to	to	ADP
ejge-4329	89	9	the	the	DET
ejge-4329	89	10	right	right	NOUN
ejge-4329	89	11	(	(	PUNCT
ejge-4329	89	12	while	while	SCONJ
ejge-4329	89	13	supply	supply	NOUN
ejge-4329	89	14	remains	remain	VERB
ejge-4329	89	15	constant	constant	ADJ
ejge-4329	89	16	)	)	PUNCT
ejge-4329	89	17	,	,	PUNCT
ejge-4329	89	18	the	the	DET
ejge-4329	89	19	inventory	inventory	NOUN
ejge-4329	89	20	depletes	deplete	VERB
ejge-4329	89	21	from	from	ADP
ejge-4329	89	22	the	the	DET
ejge-4329	89	23	market	market	NOUN
ejge-4329	89	24	at	at	ADP
ejge-4329	89	25	the	the	DET
ejge-4329	89	26	previous	previous	ADJ
ejge-4329	89	27	price	price	NOUN
ejge-4329	89	28	and	and	CCONJ
ejge-4329	89	29	the	the	DET
ejge-4329	89	30	new	new	ADJ
ejge-4329	89	31	equilibrium	equilibrium	NOUN
ejge-4329	89	32	brings	bring	VERB
ejge-4329	89	33	the	the	DET
ejge-4329	89	34	price	price	NOUN
ejge-4329	89	35	up	up	ADP
ejge-4329	89	36	.	.	PUNCT
ejge-4329	90	1	this	this	PRON
ejge-4329	90	2	shows	show	VERB
ejge-4329	90	3	that	that	SCONJ
ejge-4329	90	4	there	there	PRON
ejge-4329	90	5	is	be	VERB
ejge-4329	90	6	an	an	DET
ejge-4329	90	7	inverse	inverse	NOUN
ejge-4329	90	8	relationship	relationship	NOUN
ejge-4329	90	9	between	between	ADP
ejge-4329	90	10	an	an	DET
ejge-4329	90	11	inventory	inventory	NOUN
ejge-4329	90	12	change	change	NOUN
ejge-4329	90	13	and	and	CCONJ
ejge-4329	90	14	a	a	DET
ejge-4329	90	15	price	price	NOUN
ejge-4329	90	16	change	change	NOUN
ejge-4329	90	17	(	(	PUNCT
ejge-4329	90	18	all	all	PRON
ejge-4329	90	19	else	else	ADV
ejge-4329	90	20	the	the	DET
ejge-4329	90	21	same	same	ADJ
ejge-4329	90	22	)	)	PUNCT
ejge-4329	90	23	.	.	PUNCT
ejge-4329	91	1	if	if	SCONJ
ejge-4329	91	2	both	both	CCONJ
ejge-4329	91	3	the	the	DET
ejge-4329	91	4	supply	supply	NOUN
ejge-4329	91	5	and	and	CCONJ
ejge-4329	91	6	demand	demand	NOUN
ejge-4329	91	7	curves	curve	NOUN
ejge-4329	91	8	shift	shift	NOUN
ejge-4329	91	9	by	by	ADP
ejge-4329	91	10	the	the	DET
ejge-4329	91	11	same	same	ADJ
ejge-4329	91	12	magnitude	magnitude	NOUN
ejge-4329	91	13	such	such	ADJ
ejge-4329	91	14	that	that	SCONJ
ejge-4329	91	15	the	the	DET
ejge-4329	91	16	inventory	inventory	NOUN
ejge-4329	91	17	does	do	AUX
ejge-4329	91	18	not	not	PART
ejge-4329	91	19	change	change	VERB
ejge-4329	91	20	,	,	PUNCT
ejge-4329	91	21	then	then	ADV
ejge-4329	91	22	price	price	NOUN
ejge-4329	91	23	will	will	AUX
ejge-4329	91	24	also	also	ADV
ejge-4329	91	25	remain	remain	VERB
ejge-4329	91	26	the	the	DET
ejge-4329	91	27	same	same	ADJ
ejge-4329	91	28	.	.	PUNCT
ejge-4329	92	1	inventory	inventory	NOUN
ejge-4329	92	2	unifies	unify	VERB
ejge-4329	92	3	the	the	DET
ejge-4329	92	4	supply	supply	NOUN
ejge-4329	92	5	and	and	CCONJ
ejge-4329	92	6	demand	demand	NOUN
ejge-4329	92	7	shocks	shock	NOUN
ejge-4329	92	8	in	in	ADP
ejge-4329	92	9	the	the	DET
ejge-4329	92	10	sense	sense	NOUN
ejge-4329	92	11	that	that	SCONJ
ejge-4329	92	12	they	they	PRON
ejge-4329	92	13	are	be	AUX
ejge-4329	92	14	both	both	PRON
ejge-4329	92	15	affecting	affect	VERB
ejge-4329	92	16	the	the	DET
ejge-4329	92	17	same	same	ADJ
ejge-4329	92	18	factor	factor	NOUN
ejge-4329	92	19	,	,	PUNCT
ejge-4329	92	20	i.e.	i.e.	X
ejge-4329	92	21	inventory	inventory	NOUN
ejge-4329	92	22	and	and	CCONJ
ejge-4329	92	23	are	be	AUX
ejge-4329	92	24	basically	basically	ADV
ejge-4329	92	25	the	the	DET
ejge-4329	92	26	faces	face	NOUN
ejge-4329	92	27	of	of	ADP
ejge-4329	92	28	the	the	DET
ejge-4329	92	29	same	same	ADJ
ejge-4329	92	30	coin	coin	NOUN
ejge-4329	92	31	.	.	PUNCT
ejge-4329	93	1	therefore	therefore	ADV
ejge-4329	93	2	each	each	DET
ejge-4329	93	3	kind	kind	NOUN
ejge-4329	93	4	of	of	ADP
ejge-4329	93	5	shock	shock	NOUN
ejge-4329	93	6	is	be	AUX
ejge-4329	93	7	in	in	ADP
ejge-4329	93	8	fact	fact	NOUN
ejge-4329	93	9	just	just	ADV
ejge-4329	93	10	an	an	DET
ejge-4329	93	11	inventory	inventory	NOUN
ejge-4329	93	12	shock	shock	NOUN
ejge-4329	93	13	.	.	PUNCT
ejge-4329	94	1	from	from	ADP
ejge-4329	94	2	the	the	DET
ejge-4329	94	3	above	above	ADJ
ejge-4329	94	4	mentioned	mention	VERB
ejge-4329	94	5	discussion	discussion	NOUN
ejge-4329	94	6	,	,	PUNCT
ejge-4329	94	7	we	we	PRON
ejge-4329	94	8	have	have	AUX
ejge-4329	94	9	seen	see	VERB
ejge-4329	94	10	that	that	SCONJ
ejge-4329	94	11	there	there	PRON
ejge-4329	94	12	is	be	VERB
ejge-4329	94	13	an	an	DET
ejge-4329	94	14	inverse	inverse	NOUN
ejge-4329	94	15	relationship	relationship	NOUN
ejge-4329	94	16	between	between	ADP
ejge-4329	94	17	an	an	DET
ejge-4329	94	18	inventory	inventory	NOUN
ejge-4329	94	19	change	change	NOUN
ejge-4329	94	20	and	and	CCONJ
ejge-4329	94	21	a	a	DET
ejge-4329	94	22	price	price	NOUN
ejge-4329	94	23	change	change	NOUN
ejge-4329	94	24	.	.	PUNCT
ejge-4329	95	1	196	196	NUM
ejge-4329	95	2	n.	n.	NOUN
ejge-4329	95	3	nawaz	nawaz	ADJ
ejge-4329	95	4	/	/	SYM
ejge-4329	95	5	european	european	ADJ
ejge-4329	95	6	journal	journal	PROPN
ejge-4329	95	7	of	of	ADP
ejge-4329	95	8	government	government	NOUN
ejge-4329	95	9	and	and	CCONJ
ejge-4329	95	10	economics	economic	NOUN
ejge-4329	95	11	6(2	6(2	NUM
ejge-4329	95	12	)	)	PUNCT
ejge-4329	95	13	,	,	PUNCT
ejge-4329	95	14	191	191	NUM
ejge-4329	95	15	-	-	SYM
ejge-4329	95	16	225	225	NUM
ejge-4329	95	17	figure	figure	NOUN
ejge-4329	95	18	2	2	NUM
ejge-4329	95	19	:	:	PUNCT
ejge-4329	95	20	movement	movement	NOUN
ejge-4329	95	21	of	of	ADP
ejge-4329	95	22	price	price	NOUN
ejge-4329	95	23	with	with	ADP
ejge-4329	95	24	inventory	inventory	NOUN
ejge-4329	95	25	.	.	PUNCT
ejge-4329	96	1	now	now	ADV
ejge-4329	96	2	let	let	VERB
ejge-4329	96	3	’s	’s	NOUN
ejge-4329	96	4	discuss	discuss	VERB
ejge-4329	96	5	the	the	DET
ejge-4329	96	6	mechanism	mechanism	NOUN
ejge-4329	96	7	which	which	PRON
ejge-4329	96	8	brings	bring	VERB
ejge-4329	96	9	about	about	ADP
ejge-4329	96	10	such	such	DET
ejge-4329	96	11	a	a	DET
ejge-4329	96	12	change	change	NOUN
ejge-4329	96	13	.	.	PUNCT
ejge-4329	97	1	consider	consider	VERB
ejge-4329	97	2	a	a	DET
ejge-4329	97	3	market	market	NOUN
ejge-4329	97	4	of	of	ADP
ejge-4329	97	5	homogeneous	homogeneous	ADJ
ejge-4329	97	6	goods	good	NOUN
ejge-4329	97	7	where	where	SCONJ
ejge-4329	97	8	the	the	DET
ejge-4329	97	9	middlemen	middleman	NOUN
ejge-4329	97	10	,	,	PUNCT
ejge-4329	97	11	such	such	ADJ
ejge-4329	97	12	as	as	ADP
ejge-4329	97	13	whole	whole	ADJ
ejge-4329	97	14	sellers	seller	NOUN
ejge-4329	97	15	,	,	PUNCT
ejge-4329	97	16	retailers	retailer	NOUN
ejge-4329	97	17	,	,	PUNCT
ejge-4329	97	18	etc	etc	X
ejge-4329	97	19	.	.	X
ejge-4329	97	20	hold	hold	VERB
ejge-4329	97	21	inventories	inventory	NOUN
ejge-4329	97	22	,	,	PUNCT
ejge-4329	97	23	incur	incur	VERB
ejge-4329	97	24	some	some	DET
ejge-4329	97	25	cost	cost	NOUN
ejge-4329	97	26	for	for	ADP
ejge-4329	97	27	holding	hold	VERB
ejge-4329	97	28	those	those	PRON
ejge-4329	97	29	,	,	PUNCT
ejge-4329	97	30	and	and	CCONJ
ejge-4329	97	31	sell	sell	VERB
ejge-4329	97	32	products	product	NOUN
ejge-4329	97	33	to	to	ADP
ejge-4329	97	34	the	the	DET
ejge-4329	97	35	consumers	consumer	NOUN
ejge-4329	97	36	to	to	PART
ejge-4329	97	37	make	make	VERB
ejge-4329	97	38	profits	profit	NOUN
ejge-4329	97	39	.	.	PUNCT
ejge-4329	98	1	the	the	DET
ejge-4329	98	2	cost	cost	NOUN
ejge-4329	98	3	is	be	AUX
ejge-4329	98	4	a	a	DET
ejge-4329	98	5	positive	positive	ADJ
ejge-4329	98	6	function	function	NOUN
ejge-4329	98	7	of	of	ADP
ejge-4329	98	8	the	the	DET
ejge-4329	98	9	size	size	NOUN
ejge-4329	98	10	of	of	ADP
ejge-4329	98	11	an	an	DET
ejge-4329	98	12	inventory	inventory	NOUN
ejge-4329	98	13	,	,	PUNCT
ejge-4329	98	14	i.e.	i.e.	X
ejge-4329	98	15	a	a	DET
ejge-4329	98	16	larger	large	ADJ
ejge-4329	98	17	inventory	inventory	NOUN
ejge-4329	98	18	costs	cost	VERB
ejge-4329	98	19	more	more	ADJ
ejge-4329	98	20	to	to	PART
ejge-4329	98	21	hold	hold	VERB
ejge-4329	98	22	as	as	ADP
ejge-4329	98	23	compared	compare	VERB
ejge-4329	98	24	to	to	ADP
ejge-4329	98	25	a	a	DET
ejge-4329	98	26	smaller	small	ADJ
ejge-4329	98	27	inventory	inventory	NOUN
ejge-4329	98	28	.	.	PUNCT
ejge-4329	99	1	in	in	ADP
ejge-4329	99	2	the	the	DET
ejge-4329	99	3	absence	absence	NOUN
ejge-4329	99	4	of	of	ADP
ejge-4329	99	5	an	an	DET
ejge-4329	99	6	exogenous	exogenous	ADJ
ejge-4329	99	7	shock	shock	NOUN
ejge-4329	99	8	,	,	PUNCT
ejge-4329	99	9	if	if	SCONJ
ejge-4329	99	10	the	the	DET
ejge-4329	99	11	supply	supply	NOUN
ejge-4329	99	12	and	and	CCONJ
ejge-4329	99	13	demand	demand	NOUN
ejge-4329	99	14	rates	rate	NOUN
ejge-4329	99	15	are	be	AUX
ejge-4329	99	16	equal	equal	ADJ
ejge-4329	99	17	then	then	ADV
ejge-4329	99	18	the	the	DET
ejge-4329	99	19	system	system	NOUN
ejge-4329	99	20	is	be	AUX
ejge-4329	99	21	in	in	ADP
ejge-4329	99	22	equilibrium	equilibrium	NOUN
ejge-4329	99	23	and	and	CCONJ
ejge-4329	99	24	the	the	DET
ejge-4329	99	25	price	price	NOUN
ejge-4329	99	26	does	do	AUX
ejge-4329	99	27	not	not	PART
ejge-4329	99	28	vary	vary	VERB
ejge-4329	99	29	with	with	ADP
ejge-4329	99	30	time	time	NOUN
ejge-4329	99	31	.	.	PUNCT
ejge-4329	100	1	suppose	suppose	VERB
ejge-4329	100	2	that	that	SCONJ
ejge-4329	100	3	a	a	DET
ejge-4329	100	4	technological	technological	ADJ
ejge-4329	100	5	advancement	advancement	NOUN
ejge-4329	100	6	decreases	decrease	VERB
ejge-4329	100	7	the	the	DET
ejge-4329	100	8	marginal	marginal	ADJ
ejge-4329	100	9	cost	cost	NOUN
ejge-4329	100	10	of	of	ADP
ejge-4329	100	11	production	production	NOUN
ejge-4329	100	12	and	and	CCONJ
ejge-4329	100	13	increases	increase	VERB
ejge-4329	100	14	the	the	DET
ejge-4329	100	15	supply	supply	NOUN
ejge-4329	100	16	rate	rate	NOUN
ejge-4329	100	17	,	,	PUNCT
ejge-4329	100	18	whereas	whereas	SCONJ
ejge-4329	100	19	the	the	DET
ejge-4329	100	20	demand	demand	NOUN
ejge-4329	100	21	rate	rate	NOUN
ejge-4329	100	22	remains	remain	VERB
ejge-4329	100	23	the	the	DET
ejge-4329	100	24	same	same	ADJ
ejge-4329	100	25	.	.	PUNCT
ejge-4329	101	1	as	as	SCONJ
ejge-4329	101	2	the	the	DET
ejge-4329	101	3	demand	demand	NOUN
ejge-4329	101	4	and	and	CCONJ
ejge-4329	101	5	supply	supply	NOUN
ejge-4329	101	6	rates	rate	NOUN
ejge-4329	101	7	are	be	AUX
ejge-4329	101	8	no	no	ADV
ejge-4329	101	9	longer	long	ADV
ejge-4329	101	10	equal	equal	ADJ
ejge-4329	101	11	,	,	PUNCT
ejge-4329	101	12	therefore	therefore	ADV
ejge-4329	101	13	the	the	DET
ejge-4329	101	14	difference	difference	NOUN
ejge-4329	101	15	will	will	AUX
ejge-4329	101	16	appear	appear	VERB
ejge-4329	101	17	somewhere	somewhere	ADV
ejge-4329	101	18	in	in	ADP
ejge-4329	101	19	the	the	DET
ejge-4329	101	20	economy	economy	NOUN
ejge-4329	101	21	in	in	ADP
ejge-4329	101	22	the	the	DET
ejge-4329	101	23	form	form	NOUN
ejge-4329	101	24	of	of	ADP
ejge-4329	101	25	piled	pile	VERB
ejge-4329	101	26	up	up	ADP
ejge-4329	101	27	inventories	inventory	NOUN
ejge-4329	101	28	.	.	PUNCT
ejge-4329	102	1	as	as	SCONJ
ejge-4329	102	2	the	the	DET
ejge-4329	102	3	production	production	NOUN
ejge-4329	102	4	flows	flow	VERB
ejge-4329	102	5	from	from	ADP
ejge-4329	102	6	the	the	DET
ejge-4329	102	7	producer	producer	NOUN
ejge-4329	102	8	to	to	ADP
ejge-4329	102	9	the	the	DET
ejge-4329	102	10	consumer	consumer	NOUN
ejge-4329	102	11	through	through	ADP
ejge-4329	102	12	the	the	DET
ejge-4329	102	13	middleman	middleman	NOUN
ejge-4329	102	14	,	,	PUNCT
ejge-4329	102	15	therefore	therefore	ADV
ejge-4329	102	16	it	it	PRON
ejge-4329	102	17	is	be	AUX
ejge-4329	102	18	reasonable	reasonable	ADJ
ejge-4329	102	19	to	to	PART
ejge-4329	102	20	assume	assume	VERB
ejge-4329	102	21	that	that	SCONJ
ejge-4329	102	22	the	the	DET
ejge-4329	102	23	middleman	middleman	NOUN
ejge-4329	102	24	will	will	AUX
ejge-4329	102	25	be	be	AUX
ejge-4329	102	26	holding	hold	VERB
ejge-4329	102	27	the	the	DET
ejge-4329	102	28	net	net	ADJ
ejge-4329	102	29	difference	difference	NOUN
ejge-4329	102	30	(	(	PUNCT
ejge-4329	102	31	explanation	explanation	NOUN
ejge-4329	102	32	:	:	PUNCT
ejge-4329	102	33	the	the	DET
ejge-4329	102	34	piled	pile	VERB
ejge-4329	102	35	up	up	ADP
ejge-4329	102	36	inventories	inventory	NOUN
ejge-4329	102	37	can	can	AUX
ejge-4329	102	38	also	also	ADV
ejge-4329	102	39	be	be	AUX
ejge-4329	102	40	in	in	ADP
ejge-4329	102	41	the	the	DET
ejge-4329	102	42	form	form	NOUN
ejge-4329	102	43	of	of	ADP
ejge-4329	102	44	producers	producer	NOUN
ejge-4329	102	45	’	’	PART
ejge-4329	102	46	inventories	inventory	NOUN
ejge-4329	102	47	of	of	ADP
ejge-4329	102	48	finished	finished	ADJ
ejge-4329	102	49	goods	good	NOUN
ejge-4329	102	50	,	,	PUNCT
ejge-4329	102	51	which	which	PRON
ejge-4329	102	52	does	do	AUX
ejge-4329	102	53	not	not	PART
ejge-4329	102	54	change	change	VERB
ejge-4329	102	55	the	the	DET
ejge-4329	102	56	key	key	ADJ
ejge-4329	102	57	point	point	NOUN
ejge-4329	102	58	that	that	SCONJ
ejge-4329	102	59	a	a	DET
ejge-4329	102	60	difference	difference	NOUN
ejge-4329	102	61	of	of	ADP
ejge-4329	102	62	supply	supply	NOUN
ejge-4329	102	63	and	and	CCONJ
ejge-4329	102	64	demand	demand	NOUN
ejge-4329	102	65	rates	rate	NOUN
ejge-4329	102	66	directly	directly	ADV
ejge-4329	102	67	affect	affect	VERB
ejge-4329	102	68	the	the	DET
ejge-4329	102	69	inventories	inventory	NOUN
ejge-4329	102	70	in	in	ADP
ejge-4329	102	71	the	the	DET
ejge-4329	102	72	economy	economy	NOUN
ejge-4329	102	73	)	)	PUNCT
ejge-4329	102	74	.	.	PUNCT
ejge-4329	103	1	the	the	DET
ejge-4329	103	2	economy	economy	NOUN
ejge-4329	103	3	will	will	AUX
ejge-4329	103	4	not	not	PART
ejge-4329	103	5	be	be	AUX
ejge-4329	103	6	able	able	ADJ
ejge-4329	103	7	to	to	PART
ejge-4329	103	8	sustain	sustain	VERB
ejge-4329	103	9	this	this	DET
ejge-4329	103	10	situation	situation	NOUN
ejge-4329	103	11	indefinitely	indefinitely	ADV
ejge-4329	103	12	,	,	PUNCT
ejge-4329	103	13	and	and	CCONJ
ejge-4329	103	14	the	the	DET
ejge-4329	103	15	middlemen	middleman	NOUN
ejge-4329	103	16	will	will	AUX
ejge-4329	103	17	have	have	VERB
ejge-4329	103	18	to	to	PART
ejge-4329	103	19	think	think	VERB
ejge-4329	103	20	of	of	ADP
ejge-4329	103	21	some	some	DET
ejge-4329	103	22	means	mean	NOUN
ejge-4329	103	23	of	of	ADP
ejge-4329	103	24	getting	getting	AUX
ejge-4329	103	25	rid	rid	VERB
ejge-4329	103	26	of	of	ADP
ejge-4329	103	27	piled	pile	VERB
ejge-4329	103	28	up	up	ADP
ejge-4329	103	29	inventories	inventory	NOUN
ejge-4329	103	30	.	.	PUNCT
ejge-4329	104	1	the	the	DET
ejge-4329	104	2	only	only	ADJ
ejge-4329	104	3	resort	resort	NOUN
ejge-4329	104	4	they	they	PRON
ejge-4329	104	5	have	have	VERB
ejge-4329	104	6	is	be	AUX
ejge-4329	104	7	to	to	PART
ejge-4329	104	8	decrease	decrease	VERB
ejge-4329	104	9	the	the	DET
ejge-4329	104	10	price	price	NOUN
ejge-4329	104	11	which	which	PRON
ejge-4329	104	12	brings	bring	VERB
ejge-4329	104	13	the	the	DET
ejge-4329	104	14	demand	demand	NOUN
ejge-4329	104	15	up	up	ADP
ejge-4329	104	16	along	along	ADP
ejge-4329	104	17	the	the	DET
ejge-4329	104	18	demand	demand	NOUN
ejge-4329	104	19	curve	curve	NOUN
ejge-4329	104	20	.	.	PUNCT
ejge-4329	105	1	197	197	NUM
ejge-4329	105	2	n.	n.	NOUN
ejge-4329	105	3	nawaz	nawaz	PROPN
ejge-4329	105	4	/	/	SYM
ejge-4329	105	5	european	european	ADJ
ejge-4329	105	6	journal	journal	PROPN
ejge-4329	105	7	of	of	ADP
ejge-4329	105	8	government	government	NOUN
ejge-4329	105	9	and	and	CCONJ
ejge-4329	105	10	economics	economic	NOUN
ejge-4329	105	11	6(2	6(2	NUM
ejge-4329	105	12	)	)	PUNCT
ejge-4329	105	13	,	,	PUNCT
ejge-4329	105	14	191	191	NUM
ejge-4329	105	15	-	-	SYM
ejge-4329	105	16	225	225	NUM
ejge-4329	105	17	in	in	ADP
ejge-4329	105	18	a	a	DET
ejge-4329	105	19	perfectly	perfectly	ADV
ejge-4329	105	20	competitive	competitive	ADJ
ejge-4329	105	21	market	market	NOUN
ejge-4329	105	22	,	,	PUNCT
ejge-4329	105	23	the	the	DET
ejge-4329	105	24	price	price	NOUN
ejge-4329	105	25	will	will	AUX
ejge-4329	105	26	eventually	eventually	ADV
ejge-4329	105	27	come	come	VERB
ejge-4329	105	28	down	down	ADP
ejge-4329	105	29	to	to	PART
ejge-4329	105	30	equalize	equalize	VERB
ejge-4329	105	31	the	the	DET
ejge-4329	105	32	new	new	ADJ
ejge-4329	105	33	marginal	marginal	ADJ
ejge-4329	105	34	cost	cost	NOUN
ejge-4329	105	35	,	,	PUNCT
ejge-4329	105	36	however	however	ADV
ejge-4329	105	37	the	the	DET
ejge-4329	105	38	adjustment	adjustment	NOUN
ejge-4329	105	39	path	path	NOUN
ejge-4329	105	40	depends	depend	VERB
ejge-4329	105	41	on	on	ADP
ejge-4329	105	42	how	how	SCONJ
ejge-4329	105	43	the	the	DET
ejge-4329	105	44	middlemen	middleman	NOUN
ejge-4329	105	45	react	react	VERB
ejge-4329	105	46	to	to	ADP
ejge-4329	105	47	the	the	DET
ejge-4329	105	48	change	change	NOUN
ejge-4329	105	49	in	in	ADP
ejge-4329	105	50	their	their	PRON
ejge-4329	105	51	inventories	inventory	NOUN
ejge-4329	105	52	.	.	PUNCT
ejge-4329	106	1	notice	notice	VERB
ejge-4329	106	2	that	that	SCONJ
ejge-4329	106	3	the	the	DET
ejge-4329	106	4	marginal	marginal	ADJ
ejge-4329	106	5	cost	cost	NOUN
ejge-4329	106	6	of	of	ADP
ejge-4329	106	7	production	production	NOUN
ejge-4329	106	8	has	have	AUX
ejge-4329	106	9	decreased	decrease	VERB
ejge-4329	106	10	but	but	CCONJ
ejge-4329	106	11	the	the	DET
ejge-4329	106	12	marginal	marginal	ADJ
ejge-4329	106	13	cost	cost	NOUN
ejge-4329	106	14	of	of	ADP
ejge-4329	106	15	holding	hold	VERB
ejge-4329	106	16	an	an	DET
ejge-4329	106	17	extra	extra	ADJ
ejge-4329	106	18	unit	unit	NOUN
ejge-4329	106	19	of	of	ADP
ejge-4329	106	20	inventory	inventory	NOUN
ejge-4329	106	21	for	for	ADP
ejge-4329	106	22	the	the	DET
ejge-4329	106	23	middleman	middleman	NOUN
ejge-4329	106	24	has	have	AUX
ejge-4329	106	25	increased	increase	VERB
ejge-4329	106	26	.	.	PUNCT
ejge-4329	107	1	this	this	PRON
ejge-4329	107	2	is	be	AUX
ejge-4329	107	3	an	an	DET
ejge-4329	107	4	intuitive	intuitive	ADJ
ejge-4329	107	5	explanation	explanation	NOUN
ejge-4329	107	6	which	which	PRON
ejge-4329	107	7	is	be	AUX
ejge-4329	107	8	theoretically	theoretically	ADV
ejge-4329	107	9	consistent	consistent	ADJ
ejge-4329	107	10	with	with	ADP
ejge-4329	107	11	the	the	DET
ejge-4329	107	12	demand	demand	NOUN
ejge-4329	107	13	,	,	PUNCT
ejge-4329	107	14	supply	supply	NOUN
ejge-4329	107	15	,	,	PUNCT
ejge-4329	107	16	utility	utility	NOUN
ejge-4329	107	17	and	and	CCONJ
ejge-4329	107	18	profit	profit	NOUN
ejge-4329	107	19	maximization	maximization	NOUN
ejge-4329	107	20	by	by	ADP
ejge-4329	107	21	a	a	DET
ejge-4329	107	22	consumer	consumer	NOUN
ejge-4329	107	23	and	and	CCONJ
ejge-4329	107	24	a	a	DET
ejge-4329	107	25	producer	producer	NOUN
ejge-4329	107	26	respectively	respectively	ADV
ejge-4329	107	27	.	.	PUNCT
ejge-4329	108	1	in	in	ADP
ejge-4329	108	2	the	the	DET
ejge-4329	108	3	real	real	ADJ
ejge-4329	108	4	world	world	NOUN
ejge-4329	108	5	,	,	PUNCT
ejge-4329	108	6	we	we	PRON
ejge-4329	108	7	see	see	VERB
ejge-4329	108	8	examples	example	NOUN
ejge-4329	108	9	of	of	ADP
ejge-4329	108	10	this	this	DET
ejge-4329	108	11	behavior	behavior	NOUN
ejge-4329	108	12	of	of	ADP
ejge-4329	108	13	middlemen	middleman	NOUN
ejge-4329	108	14	,	,	PUNCT
ejge-4329	108	15	e.g.	e.g.	ADV
ejge-4329	108	16	as	as	ADP
ejge-4329	108	17	consumers	consumer	NOUN
ejge-4329	108	18	,	,	PUNCT
ejge-4329	108	19	we	we	PRON
ejge-4329	108	20	enjoy	enjoy	VERB
ejge-4329	108	21	the	the	DET
ejge-4329	108	22	end	end	NOUN
ejge-4329	108	23	of	of	ADP
ejge-4329	108	24	year	year	NOUN
ejge-4329	108	25	sales	sale	NOUN
ejge-4329	108	26	,	,	PUNCT
ejge-4329	108	27	offers	offer	VERB
ejge-4329	108	28	such	such	ADJ
ejge-4329	108	29	as	as	ADP
ejge-4329	108	30	buy	buy	VERB
ejge-4329	108	31	one	one	NUM
ejge-4329	108	32	get	get	VERB
ejge-4329	108	33	one	one	NUM
ejge-4329	108	34	free	free	ADJ
ejge-4329	108	35	,	,	PUNCT
ejge-4329	108	36	gift	gift	NOUN
ejge-4329	108	37	offers	offer	VERB
ejge-4329	108	38	if	if	SCONJ
ejge-4329	108	39	you	you	PRON
ejge-4329	108	40	buy	buy	VERB
ejge-4329	108	41	above	above	ADP
ejge-4329	108	42	a	a	DET
ejge-4329	108	43	certain	certain	ADJ
ejge-4329	108	44	quantity	quantity	NOUN
ejge-4329	108	45	threshold	threshold	NOUN
ejge-4329	108	46	,	,	PUNCT
ejge-4329	108	47	etc	etc	X
ejge-4329	108	48	.	.	X
ejge-4329	109	1	for	for	ADP
ejge-4329	109	2	a	a	DET
ejge-4329	109	3	mathematical	mathematical	ADJ
ejge-4329	109	4	treatment	treatment	NOUN
ejge-4329	109	5	,	,	PUNCT
ejge-4329	109	6	we	we	PRON
ejge-4329	109	7	need	need	VERB
ejge-4329	109	8	to	to	PART
ejge-4329	109	9	consider	consider	VERB
ejge-4329	109	10	the	the	DET
ejge-4329	109	11	profit	profit	NOUN
ejge-4329	109	12	maximization	maximization	NOUN
ejge-4329	109	13	problem	problem	NOUN
ejge-4329	109	14	of	of	ADP
ejge-4329	109	15	the	the	DET
ejge-4329	109	16	middleman	middleman	NOUN
ejge-4329	109	17	as	as	SCONJ
ejge-4329	109	18	follows	follow	VERB
ejge-4329	109	19	.	.	PUNCT
ejge-4329	110	1	2.1.1	2.1.1	NUM
ejge-4329	110	2	short	short	ADJ
ejge-4329	110	3	-	-	PUNCT
ejge-4329	110	4	run	run	NOUN
ejge-4329	110	5	problem	problem	NOUN
ejge-4329	110	6	let	let	VERB
ejge-4329	110	7	’s	’s	NOUN
ejge-4329	110	8	first	first	ADV
ejge-4329	110	9	consider	consider	VERB
ejge-4329	110	10	the	the	DET
ejge-4329	110	11	short	short	ADJ
ejge-4329	110	12	-	-	PUNCT
ejge-4329	110	13	run	run	NOUN
ejge-4329	110	14	problem	problem	NOUN
ejge-4329	110	15	of	of	ADP
ejge-4329	110	16	the	the	DET
ejge-4329	110	17	middleman	middleman	NOUN
ejge-4329	110	18	as	as	SCONJ
ejge-4329	110	19	follows	follow	VERB
ejge-4329	110	20	(	(	PUNCT
ejge-4329	110	21	the	the	DET
ejge-4329	110	22	middleman	middleman	NOUN
ejge-4329	110	23	’s	’s	PART
ejge-4329	110	24	objective	objective	NOUN
ejge-4329	110	25	is	be	AUX
ejge-4329	110	26	myopic	myopic	ADJ
ejge-4329	110	27	rather	rather	ADV
ejge-4329	110	28	than	than	ADP
ejge-4329	110	29	doing	do	VERB
ejge-4329	110	30	dynamic	dynamic	ADJ
ejge-4329	110	31	optimization	optimization	NOUN
ejge-4329	110	32	.	.	PUNCT
ejge-4329	111	1	in	in	ADP
ejge-4329	111	2	a	a	DET
ejge-4329	111	3	discrete	discrete	ADJ
ejge-4329	111	4	analog	analog	NOUN
ejge-4329	111	5	,	,	PUNCT
ejge-4329	111	6	this	this	PRON
ejge-4329	111	7	is	be	AUX
ejge-4329	111	8	a	a	DET
ejge-4329	111	9	one	one	NUM
ejge-4329	111	10	period	period	NOUN
ejge-4329	111	11	analysis	analysis	NOUN
ejge-4329	111	12	,	,	PUNCT
ejge-4329	111	13	which	which	PRON
ejge-4329	111	14	is	be	AUX
ejge-4329	111	15	presented	present	VERB
ejge-4329	111	16	for	for	ADP
ejge-4329	111	17	an	an	DET
ejge-4329	111	18	intuitive	intuitive	ADJ
ejge-4329	111	19	purpose	purpose	NOUN
ejge-4329	111	20	as	as	ADP
ejge-4329	111	21	an	an	DET
ejge-4329	111	22	anticipation	anticipation	NOUN
ejge-4329	111	23	of	of	ADP
ejge-4329	111	24	the	the	DET
ejge-4329	111	25	-more	-more	ADJ
ejge-4329	111	26	complicated	complicated	ADJ
ejge-4329	111	27	dynamic	dynamic	ADJ
ejge-4329	111	28	problem	problem	NOUN
ejge-4329	111	29	in	in	ADP
ejge-4329	111	30	section	section	NOUN
ejge-4329	111	31	2.1.2	2.1.2	NUM
ejge-4329	111	32	)	)	PUNCT
ejge-4329	111	33	.	.	PUNCT
ejge-4329	111	34	)	)	PUNCT
ejge-4329	111	35	)	)	PUNCT
ejge-4329	112	1	,	,	PUNCT
ejge-4329	112	2	,	,	PUNCT
ejge-4329	112	3	(	(	PUNCT
ejge-4329	112	4	(	(	PUNCT
ejge-4329	112	5	)	)	PUNCT
ejge-4329	112	6	(=	(=	X
ejge-4329	112	7	epmppq	epmppq	PROPN
ejge-4329	112	8	ς−π	ς−π	NUM
ejge-4329	112	9	[	[	X
ejge-4329	112	10	1	1	NUM
ejge-4329	112	11	]	]	PUNCT
ejge-4329	112	12	where	where	SCONJ
ejge-4329	112	13	=	=	NOUN
ejge-4329	112	14	π	π	NOUN
ejge-4329	112	15	profit	profit	NOUN
ejge-4329	112	16	,	,	PUNCT
ejge-4329	112	17	p	p	NOUN
ejge-4329	112	18	=	=	NOUN
ejge-4329	112	19	market	market	NOUN
ejge-4329	112	20	price	price	NOUN
ejge-4329	112	21	,	,	PUNCT
ejge-4329	112	22	)	)	PUNCT
ejge-4329	112	23	(	(	PUNCT
ejge-4329	112	24	pq	pq	NOUN
ejge-4329	112	25	=	=	SYM
ejge-4329	112	26	quantity	quantity	NOUN
ejge-4329	112	27	sold	sell	VERB
ejge-4329	112	28	at	at	ADP
ejge-4329	112	29	price	price	NOUN
ejge-4329	112	30	,	,	PUNCT
ejge-4329	112	31	p	p	PROPN
ejge-4329	112	32	=	=	NOUN
ejge-4329	112	33	m	m	NOUN
ejge-4329	112	34	inventory	inventory	NOUN
ejge-4329	112	35	(	(	PUNCT
ejge-4329	112	36	total	total	ADJ
ejge-4329	112	37	number	number	NOUN
ejge-4329	112	38	of	of	ADP
ejge-4329	112	39	goods	good	NOUN
ejge-4329	112	40	held	hold	VERB
ejge-4329	112	41	by	by	ADP
ejge-4329	112	42	the	the	DET
ejge-4329	112	43	middleman	middleman	NOUN
ejge-4329	112	44	)	)	PUNCT
ejge-4329	112	45	,	,	PUNCT
ejge-4329	112	46	e	e	X
ejge-4329	112	47	=	=	PUNCT
ejge-4329	112	48	other	other	ADJ
ejge-4329	112	49	factors	factor	NOUN
ejge-4329	112	50	which	which	PRON
ejge-4329	112	51	influence	influence	VERB
ejge-4329	112	52	inventory	inventory	NOUN
ejge-4329	112	53	other	other	ADJ
ejge-4329	112	54	than	than	ADP
ejge-4329	112	55	the	the	DET
ejge-4329	112	56	market	market	NOUN
ejge-4329	112	57	price	price	NOUN
ejge-4329	112	58	including	include	VERB
ejge-4329	112	59	the	the	DET
ejge-4329	112	60	middleman	middleman	NOUN
ejge-4329	112	61	’s	’s	PART
ejge-4329	112	62	purchase	purchase	NOUN
ejge-4329	112	63	price	price	NOUN
ejge-4329	112	64	from	from	ADP
ejge-4329	112	65	the	the	DET
ejge-4329	112	66	producer	producer	NOUN
ejge-4329	112	67	,	,	PUNCT
ejge-4329	112	68	)	)	PUNCT
ejge-4329	112	69	)	)	PUNCT
ejge-4329	112	70	,	,	PUNCT
ejge-4329	112	71	(	(	PUNCT
ejge-4329	112	72	(	(	PUNCT
ejge-4329	112	73	epmς	epmς	NOUN
ejge-4329	112	74	=	=	PUNCT
ejge-4329	112	75	cost	cost	NOUN
ejge-4329	112	76	as	as	ADP
ejge-4329	112	77	a	a	DET
ejge-4329	112	78	function	function	NOUN
ejge-4329	112	79	of	of	ADP
ejge-4329	112	80	inventory	inventory	NOUN
ejge-4329	112	81	(	(	PUNCT
ejge-4329	112	82	increasing	increase	VERB
ejge-4329	112	83	in	in	ADP
ejge-4329	112	84	inventory	inventory	NOUN
ejge-4329	112	85	)	)	PUNCT
ejge-4329	112	86	.	.	PUNCT
ejge-4329	113	1	the	the	DET
ejge-4329	113	2	first	first	ADJ
ejge-4329	113	3	order	order	NOUN
ejge-4329	113	4	condition	condition	NOUN
ejge-4329	113	5	(	(	PUNCT
ejge-4329	113	6	with	with	ADP
ejge-4329	113	7	respect	respect	NOUN
ejge-4329	113	8	to	to	ADP
ejge-4329	113	9	price	price	NOUN
ejge-4329	113	10	)	)	PUNCT
ejge-4329	113	11	is	be	AUX
ejge-4329	113	12	as	as	SCONJ
ejge-4329	113	13	follows	follow	VERB
ejge-4329	113	14	:	:	PUNCT
ejge-4329	113	15	0,=	0,=	NUM
ejge-4329	113	16	)	)	PUNCT
ejge-4329	113	17	,	,	PUNCT
ejge-4329	113	18	(	(	PUNCT
ejge-4329	113	19	)	)	PUNCT
ejge-4329	113	20	)	)	PUNCT
ejge-4329	113	21	,	,	PUNCT
ejge-4329	113	22	(	(	PUNCT
ejge-4329	113	23	(	(	PUNCT
ejge-4329	113	24	)	)	PUNCT
ejge-4329	113	25	(	(	PUNCT
ejge-4329	113	26	)	)	PUNCT
ejge-4329	113	27	(	(	PUNCT
ejge-4329	113	28	1	1	NUM
ejge-4329	113	29	...	...	PUNCT
ejge-4329	113	30	epmepmpqpqp	epmepmpqpqp	VERB
ejge-4329	113	31	ς−+	ς−+	NOUN
ejge-4329	114	1	[	[	X
ejge-4329	114	2	2	2	NUM
ejge-4329	114	3	]	]	PUNCT
ejge-4329	114	4	the	the	DET
ejge-4329	114	5	middleman	middleman	NOUN
ejge-4329	114	6	has	have	VERB
ejge-4329	114	7	an	an	DET
ejge-4329	114	8	incentive	incentive	NOUN
ejge-4329	114	9	to	to	PART
ejge-4329	114	10	change	change	VERB
ejge-4329	114	11	the	the	DET
ejge-4329	114	12	price	price	NOUN
ejge-4329	114	13	only	only	ADV
ejge-4329	114	14	during	during	ADP
ejge-4329	114	15	the	the	DET
ejge-4329	114	16	adjustment	adjustment	NOUN
ejge-4329	114	17	process	process	NOUN
ejge-4329	114	18	and	and	CCONJ
ejge-4329	114	19	will	will	AUX
ejge-4329	114	20	incur	incur	VERB
ejge-4329	114	21	losses	loss	NOUN
ejge-4329	114	22	by	by	ADP
ejge-4329	114	23	deviating	deviate	VERB
ejge-4329	114	24	from	from	ADP
ejge-4329	114	25	the	the	DET
ejge-4329	114	26	price	price	NOUN
ejge-4329	114	27	(	(	PUNCT
ejge-4329	114	28	equal	equal	ADJ
ejge-4329	114	29	to	to	ADP
ejge-4329	114	30	the	the	DET
ejge-4329	114	31	marginal	marginal	ADJ
ejge-4329	114	32	cost	cost	NOUN
ejge-4329	114	33	)	)	PUNCT
ejge-4329	114	34	when	when	SCONJ
ejge-4329	114	35	the	the	DET
ejge-4329	114	36	market	market	NOUN
ejge-4329	114	37	is	be	AUX
ejge-4329	114	38	in	in	ADP
ejge-4329	114	39	equilibrium	equilibrium	NOUN
ejge-4329	114	40	.	.	PUNCT
ejge-4329	115	1	during	during	ADP
ejge-4329	115	2	the	the	DET
ejge-4329	115	3	adjustment	adjustment	NOUN
ejge-4329	115	4	process	process	NOUN
ejge-4329	115	5	,	,	PUNCT
ejge-4329	115	6	the	the	DET
ejge-4329	115	7	demand	demand	NOUN
ejge-4329	115	8	does	do	AUX
ejge-4329	115	9	not	not	PART
ejge-4329	115	10	equal	equal	VERB
ejge-4329	115	11	the	the	DET
ejge-4329	115	12	supply	supply	NOUN
ejge-4329	115	13	and	and	CCONJ
ejge-4329	115	14	the	the	DET
ejge-4329	115	15	market	market	NOUN
ejge-4329	115	16	drifts	drift	VERB
ejge-4329	115	17	toward	toward	ADP
ejge-4329	115	18	the	the	DET
ejge-4329	115	19	new	new	ADJ
ejge-4329	115	20	equilibrium	equilibrium	NOUN
ejge-4329	115	21	(	(	PUNCT
ejge-4329	115	22	however	however	ADV
ejge-4329	115	23	,	,	PUNCT
ejge-4329	115	24	the	the	DET
ejge-4329	115	25	price	price	NOUN
ejge-4329	115	26	can	can	AUX
ejge-4329	115	27	not	not	PART
ejge-4329	115	28	move	move	VERB
ejge-4329	115	29	automatically	automatically	ADV
ejge-4329	115	30	and	and	CCONJ
ejge-4329	115	31	it	it	PRON
ejge-4329	115	32	is	be	AUX
ejge-4329	115	33	reasonable	reasonable	ADJ
ejge-4329	115	34	to	to	PART
ejge-4329	115	35	assume	assume	VERB
ejge-4329	115	36	that	that	SCONJ
ejge-4329	115	37	some	some	DET
ejge-4329	115	38	economic	economic	ADJ
ejge-4329	115	39	agent	agent	NOUN
ejge-4329	115	40	moves	move	VERB
ejge-4329	115	41	the	the	DET
ejge-4329	115	42	price	price	NOUN
ejge-4329	115	43	in	in	ADP
ejge-4329	115	44	her	her	PRON
ejge-4329	115	45	own	own	ADJ
ejge-4329	115	46	benefit	benefit	NOUN
ejge-4329	115	47	)	)	PUNCT
ejge-4329	115	48	,	,	PUNCT
ejge-4329	115	49	therefore	therefore	ADV
ejge-4329	115	50	a	a	DET
ejge-4329	115	51	price	price	NOUN
ejge-4329	115	52	change	change	NOUN
ejge-4329	115	53	by	by	ADP
ejge-4329	115	54	the	the	DET
ejge-4329	115	55	middleman	middleman	NOUN
ejge-4329	115	56	in	in	ADP
ejge-4329	115	57	the	the	DET
ejge-4329	115	58	direction	direction	NOUN
ejge-4329	115	59	of	of	ADP
ejge-4329	115	60	bringing	bring	VERB
ejge-4329	115	61	the	the	DET
ejge-4329	115	62	new	new	ADJ
ejge-4329	115	63	equilibrium	equilibrium	NOUN
ejge-4329	115	64	is	be	AUX
ejge-4329	115	65	not	not	PART
ejge-4329	115	66	against	against	ADP
ejge-4329	115	67	the	the	DET
ejge-4329	115	68	market	market	NOUN
ejge-4329	115	69	forces	force	NOUN
ejge-4329	115	70	,	,	PUNCT
ejge-4329	115	71	so	so	SCONJ
ejge-4329	115	72	he	he	PRON
ejge-4329	115	73	does	do	AUX
ejge-4329	115	74	not	not	PART
ejge-4329	115	75	lose	lose	VERB
ejge-4329	115	76	business	business	NOUN
ejge-4329	115	77	by	by	ADP
ejge-4329	115	78	changing	change	VERB
ejge-4329	115	79	price	price	NOUN
ejge-4329	115	80	on	on	ADP
ejge-4329	115	81	the	the	DET
ejge-4329	115	82	adjustment	adjustment	NOUN
ejge-4329	115	83	path	path	NOUN
ejge-4329	115	84	unlike	unlike	ADP
ejge-4329	115	85	when	when	SCONJ
ejge-4329	115	86	the	the	DET
ejge-4329	115	87	market	market	NOUN
ejge-4329	115	88	is	be	AUX
ejge-4329	115	89	in	in	ADP
ejge-4329	115	90	equilibrium	equilibrium	NOUN
ejge-4329	115	91	and	and	CCONJ
ejge-4329	115	92	where	where	SCONJ
ejge-4329	115	93	the	the	DET
ejge-4329	115	94	middleman	middleman	NOUN
ejge-4329	115	95	faces	face	VERB
ejge-4329	115	96	an	an	DET
ejge-4329	115	97	infinitely	infinitely	ADV
ejge-4329	115	98	elastic	elastic	ADJ
ejge-4329	115	99	demand	demand	NOUN
ejge-4329	115	100	as	as	ADP
ejge-4329	115	101	198	198	NUM
ejge-4329	115	102	n.	n.	NOUN
ejge-4329	115	103	nawaz	nawaz	ADJ
ejge-4329	115	104	/	/	SYM
ejge-4329	115	105	european	european	ADJ
ejge-4329	115	106	journal	journal	PROPN
ejge-4329	115	107	of	of	ADP
ejge-4329	115	108	government	government	NOUN
ejge-4329	115	109	and	and	CCONJ
ejge-4329	115	110	economics	economic	NOUN
ejge-4329	115	111	6(2	6(2	NUM
ejge-4329	115	112	)	)	PUNCT
ejge-4329	115	113	,	,	PUNCT
ejge-4329	115	114	191	191	NUM
ejge-4329	115	115	-	-	SYM
ejge-4329	115	116	225	225	NUM
ejge-4329	115	117	follows	follow	VERB
ejge-4329	115	118	:	:	PUNCT
ejge-4329	115	119	)	)	PUNCT
ejge-4329	115	120	,	,	PUNCT
ejge-4329	115	121	,	,	PUNCT
ejge-4329	115	122	(	(	PUNCT
ejge-4329	115	123	)	)	PUNCT
ejge-4329	115	124	)	)	PUNCT
ejge-4329	115	125	,	,	PUNCT
ejge-4329	115	126	(	(	PUNCT
ejge-4329	115	127	(=	(=	X
ejge-4329	115	128	)	)	PUNCT
ejge-4329	115	129	(	(	PUNCT
ejge-4329	115	130	)	)	PUNCT
ejge-4329	115	131	(	(	PUNCT
ejge-4329	115	132	1	1	NUM
ejge-4329	115	133	...	...	PUNCT
ejge-4329	115	134	epmepmpqpqp	epmepmpqpqp	VERB
ejge-4329	115	135	ς+	ς+	NUM
ejge-4329	115	136	,	,	PUNCT
ejge-4329	115	137	)	)	PUNCT
ejge-4329	115	138	(	(	PUNCT
ejge-4329	115	139	)	)	PUNCT
ejge-4329	115	140	,	,	PUNCT
ejge-4329	115	141	(	(	PUNCT
ejge-4329	115	142	)	)	PUNCT
ejge-4329	115	143	)	)	PUNCT
ejge-4329	115	144	,	,	PUNCT
ejge-4329	115	145	(	(	PUNCT
ejge-4329	115	146	(=	(=	NOUN
ejge-4329	115	147	11	11	NUM
ejge-4329	115	148	.	.	PUNCT
ejge-4329	116	1	1	1	NUM
ejge-4329	116	2	.	.	PUNCT
ejge-4329	116	3	.	.	PUNCT
ejge-4329	117	1	pq	pq	PROPN
ejge-4329	117	2	epmepm	epmepm	PROPN
ejge-4329	117	3	ticitydemandelas	ticitydemandelas	PROPN
ejge-4329	117	4	p	p	PROPN
ejge-4329	117	5	ς	ς	PROPN
ejge-4329	117	6			PROPN
ejge-4329	117	7			PROPN
ejge-4329	117	8			ADJ
ejge-4329	117	9			NUM
ejge-4329	117	10			NOUN
ejge-4329	117	11	+	+	X
ejge-4329	117	12	.	.	PUNCT
ejge-4329	117	13	)	)	PUNCT
ejge-4329	118	1	(	(	PUNCT
ejge-4329	118	2	)	)	PUNCT
ejge-4329	118	3	(=	(=	NOUN
ejge-4329	118	4	.	.	PUNCT
ejge-4329	119	1	pq	pq	INTJ
ejge-4329	119	2	pqpticitydemandelas	pqpticitydemandela	NOUN
ejge-4329	119	3	the	the	DET
ejge-4329	119	4	right	right	ADJ
ejge-4329	119	5	hand	hand	NOUN
ejge-4329	119	6	side	side	NOUN
ejge-4329	119	7	of	of	ADP
ejge-4329	119	8	the	the	DET
ejge-4329	119	9	above	above	ADJ
ejge-4329	119	10	expression	expression	NOUN
ejge-4329	119	11	is	be	AUX
ejge-4329	119	12	the	the	DET
ejge-4329	119	13	marginal	marginal	ADJ
ejge-4329	119	14	cost	cost	NOUN
ejge-4329	119	15	which	which	PRON
ejge-4329	119	16	equals	equal	VERB
ejge-4329	119	17	the	the	DET
ejge-4329	119	18	price	price	NOUN
ejge-4329	119	19	when	when	SCONJ
ejge-4329	119	20	the	the	DET
ejge-4329	119	21	middleman	middleman	NOUN
ejge-4329	119	22	faces	face	VERB
ejge-4329	119	23	an	an	DET
ejge-4329	119	24	infinitely	infinitely	ADV
ejge-4329	119	25	elastic	elastic	ADJ
ejge-4329	119	26	demand	demand	NOUN
ejge-4329	119	27	.	.	PUNCT
ejge-4329	120	1	suppose	suppose	VERB
ejge-4329	120	2	that	that	SCONJ
ejge-4329	120	3	as	as	ADP
ejge-4329	120	4	a	a	DET
ejge-4329	120	5	result	result	NOUN
ejge-4329	120	6	of	of	ADP
ejge-4329	120	7	a	a	DET
ejge-4329	120	8	supply	supply	NOUN
ejge-4329	120	9	shock	shock	NOUN
ejge-4329	120	10	,	,	PUNCT
ejge-4329	120	11	the	the	DET
ejge-4329	120	12	marginal	marginal	ADJ
ejge-4329	120	13	cost	cost	NOUN
ejge-4329	120	14	of	of	ADP
ejge-4329	120	15	production	production	NOUN
ejge-4329	120	16	decreases	decrease	NOUN
ejge-4329	120	17	,	,	PUNCT
ejge-4329	120	18	and	and	CCONJ
ejge-4329	120	19	the	the	DET
ejge-4329	120	20	supply	supply	NOUN
ejge-4329	120	21	curve	curve	NOUN
ejge-4329	120	22	shifts	shift	NOUN
ejge-4329	120	23	downwards	downwards	ADV
ejge-4329	120	24	.	.	PUNCT
ejge-4329	121	1	now	now	ADV
ejge-4329	121	2	the	the	DET
ejge-4329	121	3	competitive	competitive	ADJ
ejge-4329	121	4	market	market	NOUN
ejge-4329	121	5	is	be	AUX
ejge-4329	121	6	out	out	ADP
ejge-4329	121	7	of	of	ADP
ejge-4329	121	8	equilibrium	equilibrium	NOUN
ejge-4329	121	9	as	as	SCONJ
ejge-4329	121	10	the	the	DET
ejge-4329	121	11	demand	demand	NOUN
ejge-4329	121	12	does	do	AUX
ejge-4329	121	13	not	not	PART
ejge-4329	121	14	equal	equal	VERB
ejge-4329	121	15	the	the	DET
ejge-4329	121	16	supply	supply	NOUN
ejge-4329	121	17	at	at	ADP
ejge-4329	121	18	the	the	DET
ejge-4329	121	19	previous	previous	ADJ
ejge-4329	121	20	equilibrium	equilibrium	NOUN
ejge-4329	121	21	price	price	NOUN
ejge-4329	121	22	.	.	PUNCT
ejge-4329	122	1	the	the	DET
ejge-4329	122	2	price	price	NOUN
ejge-4329	122	3	must	must	AUX
ejge-4329	122	4	eventually	eventually	ADV
ejge-4329	122	5	decrease	decrease	VERB
ejge-4329	122	6	to	to	PART
ejge-4329	122	7	bring	bring	VERB
ejge-4329	122	8	the	the	DET
ejge-4329	122	9	new	new	ADJ
ejge-4329	122	10	equilibrium	equilibrium	NOUN
ejge-4329	122	11	,	,	PUNCT
ejge-4329	122	12	however	however	ADV
ejge-4329	122	13	,	,	PUNCT
ejge-4329	122	14	the	the	DET
ejge-4329	122	15	price	price	NOUN
ejge-4329	122	16	will	will	AUX
ejge-4329	122	17	not	not	PART
ejge-4329	122	18	jump	jump	VERB
ejge-4329	122	19	to	to	PART
ejge-4329	122	20	equalize	equalize	VERB
ejge-4329	122	21	the	the	DET
ejge-4329	122	22	demand	demand	NOUN
ejge-4329	122	23	and	and	CCONJ
ejge-4329	122	24	supply	supply	NOUN
ejge-4329	122	25	,	,	PUNCT
ejge-4329	122	26	and	and	CCONJ
ejge-4329	122	27	rather	rather	ADV
ejge-4329	122	28	the	the	DET
ejge-4329	122	29	middleman	middleman	NOUN
ejge-4329	122	30	will	will	AUX
ejge-4329	122	31	continue	continue	VERB
ejge-4329	122	32	charging	charge	VERB
ejge-4329	122	33	a	a	DET
ejge-4329	122	34	price	price	NOUN
ejge-4329	122	35	higher	high	ADJ
ejge-4329	122	36	than	than	ADP
ejge-4329	122	37	the	the	DET
ejge-4329	122	38	new	new	ADJ
ejge-4329	122	39	marginal	marginal	ADJ
ejge-4329	122	40	cost	cost	NOUN
ejge-4329	122	41	until	until	SCONJ
ejge-4329	122	42	the	the	DET
ejge-4329	122	43	market	market	NOUN
ejge-4329	122	44	forces	force	NOUN
ejge-4329	122	45	make	make	VERB
ejge-4329	122	46	him	he	PRON
ejge-4329	122	47	realize	realize	VERB
ejge-4329	122	48	that	that	SCONJ
ejge-4329	122	49	the	the	DET
ejge-4329	122	50	supply	supply	NOUN
ejge-4329	122	51	has	have	AUX
ejge-4329	122	52	increased	increase	VERB
ejge-4329	122	53	and	and	CCONJ
ejge-4329	122	54	he	he	PRON
ejge-4329	122	55	needs	need	VERB
ejge-4329	122	56	to	to	PART
ejge-4329	122	57	lower	lower	VERB
ejge-4329	122	58	the	the	DET
ejge-4329	122	59	price	price	NOUN
ejge-4329	122	60	to	to	PART
ejge-4329	122	61	satisfy	satisfy	VERB
ejge-4329	122	62	the	the	DET
ejge-4329	122	63	profit	profit	NOUN
ejge-4329	122	64	maximizing	maximize	VERB
ejge-4329	122	65	condition	condition	NOUN
ejge-4329	122	66	.	.	PUNCT
ejge-4329	123	1	the	the	DET
ejge-4329	123	2	similar	similar	ADJ
ejge-4329	123	3	is	be	AUX
ejge-4329	123	4	the	the	DET
ejge-4329	123	5	case	case	NOUN
ejge-4329	123	6	of	of	ADP
ejge-4329	123	7	a	a	DET
ejge-4329	123	8	reverse	reverse	ADJ
ejge-4329	123	9	supply	supply	NOUN
ejge-4329	123	10	shock	shock	NOUN
ejge-4329	123	11	,	,	PUNCT
ejge-4329	123	12	where	where	SCONJ
ejge-4329	123	13	the	the	DET
ejge-4329	123	14	price	price	NOUN
ejge-4329	123	15	must	must	AUX
ejge-4329	123	16	eventually	eventually	ADV
ejge-4329	123	17	increase	increase	VERB
ejge-4329	123	18	to	to	PART
ejge-4329	123	19	bring	bring	VERB
ejge-4329	123	20	the	the	DET
ejge-4329	123	21	new	new	ADJ
ejge-4329	123	22	equilibrium	equilibrium	NOUN
ejge-4329	123	23	.	.	PUNCT
ejge-4329	124	1	in	in	ADP
ejge-4329	124	2	this	this	DET
ejge-4329	124	3	case	case	NOUN
ejge-4329	124	4	,	,	PUNCT
ejge-4329	124	5	the	the	DET
ejge-4329	124	6	middleman	middleman	NOUN
ejge-4329	124	7	will	will	AUX
ejge-4329	124	8	continue	continue	VERB
ejge-4329	124	9	charging	charge	VERB
ejge-4329	124	10	a	a	DET
ejge-4329	124	11	price	price	NOUN
ejge-4329	124	12	lower	low	ADJ
ejge-4329	124	13	than	than	ADP
ejge-4329	124	14	the	the	DET
ejge-4329	124	15	marginal	marginal	ADJ
ejge-4329	124	16	cost	cost	NOUN
ejge-4329	124	17	until	until	SCONJ
ejge-4329	124	18	the	the	DET
ejge-4329	124	19	market	market	NOUN
ejge-4329	124	20	forces	force	NOUN
ejge-4329	124	21	make	make	VERB
ejge-4329	124	22	him	he	PRON
ejge-4329	124	23	increase	increase	VERB
ejge-4329	124	24	the	the	DET
ejge-4329	124	25	price	price	NOUN
ejge-4329	124	26	,	,	PUNCT
ejge-4329	124	27	in	in	ADP
ejge-4329	124	28	which	which	DET
ejge-4329	124	29	case	case	NOUN
ejge-4329	124	30	it	it	PRON
ejge-4329	124	31	is	be	AUX
ejge-4329	124	32	the	the	DET
ejge-4329	124	33	consumer	consumer	NOUN
ejge-4329	124	34	who	who	PRON
ejge-4329	124	35	is	be	AUX
ejge-4329	124	36	the	the	DET
ejge-4329	124	37	short	short	ADJ
ejge-4329	124	38	term	term	NOUN
ejge-4329	124	39	beneficiary	beneficiary	NOUN
ejge-4329	124	40	.	.	PUNCT
ejge-4329	125	1	again	again	ADV
ejge-4329	125	2	,	,	PUNCT
ejge-4329	125	3	the	the	DET
ejge-4329	125	4	consumer	consumer	NOUN
ejge-4329	125	5	will	will	AUX
ejge-4329	125	6	be	be	AUX
ejge-4329	125	7	paying	pay	VERB
ejge-4329	125	8	a	a	DET
ejge-4329	125	9	price	price	NOUN
ejge-4329	125	10	less	less	ADJ
ejge-4329	125	11	than	than	ADP
ejge-4329	125	12	the	the	DET
ejge-4329	125	13	marginal	marginal	ADJ
ejge-4329	125	14	cost	cost	NOUN
ejge-4329	125	15	only	only	ADV
ejge-4329	125	16	during	during	ADP
ejge-4329	125	17	the	the	DET
ejge-4329	125	18	adjustment	adjustment	NOUN
ejge-4329	125	19	process	process	NOUN
ejge-4329	125	20	and	and	CCONJ
ejge-4329	125	21	only	only	ADV
ejge-4329	125	22	until	until	SCONJ
ejge-4329	125	23	the	the	DET
ejge-4329	125	24	middleman	middleman	NOUN
ejge-4329	125	25	increases	increase	VERB
ejge-4329	125	26	the	the	DET
ejge-4329	125	27	price	price	NOUN
ejge-4329	125	28	.	.	PUNCT
ejge-4329	126	1	the	the	DET
ejge-4329	126	2	equilibrium	equilibrium	NOUN
ejge-4329	126	3	price	price	NOUN
ejge-4329	126	4	is	be	AUX
ejge-4329	126	5	equal	equal	ADJ
ejge-4329	126	6	to	to	ADP
ejge-4329	126	7	the	the	DET
ejge-4329	126	8	marginal	marginal	ADJ
ejge-4329	126	9	cost	cost	NOUN
ejge-4329	126	10	of	of	ADP
ejge-4329	126	11	production	production	NOUN
ejge-4329	126	12	plus	plus	CCONJ
ejge-4329	126	13	the	the	DET
ejge-4329	126	14	marginal	marginal	ADJ
ejge-4329	126	15	cost	cost	NOUN
ejge-4329	126	16	of	of	ADP
ejge-4329	126	17	storage	storage	NOUN
ejge-4329	126	18	(	(	PUNCT
ejge-4329	126	19	i.e.	i.e.	X
ejge-4329	126	20	the	the	DET
ejge-4329	126	21	total	total	ADJ
ejge-4329	126	22	marginal	marginal	ADJ
ejge-4329	126	23	cost	cost	NOUN
ejge-4329	126	24	)	)	PUNCT
ejge-4329	126	25	in	in	ADP
ejge-4329	126	26	the	the	DET
ejge-4329	126	27	absence	absence	NOUN
ejge-4329	126	28	of	of	ADP
ejge-4329	126	29	any	any	DET
ejge-4329	126	30	kind	kind	NOUN
ejge-4329	126	31	of	of	ADP
ejge-4329	126	32	a	a	DET
ejge-4329	126	33	tax	tax	NOUN
ejge-4329	126	34	,	,	PUNCT
ejge-4329	126	35	so	so	CCONJ
ejge-4329	126	36	neither	neither	CCONJ
ejge-4329	126	37	does	do	AUX
ejge-4329	126	38	the	the	DET
ejge-4329	126	39	middleman	middleman	NOUN
ejge-4329	126	40	earn	earn	VERB
ejge-4329	126	41	any	any	DET
ejge-4329	126	42	economic	economic	ADJ
ejge-4329	126	43	rent	rent	NOUN
ejge-4329	126	44	,	,	PUNCT
ejge-4329	126	45	nor	nor	CCONJ
ejge-4329	126	46	does	do	VERB
ejge-4329	126	47	the	the	DET
ejge-4329	126	48	consumer	consumer	NOUN
ejge-4329	126	49	benefit	benefit	NOUN
ejge-4329	126	50	by	by	ADP
ejge-4329	126	51	paying	pay	VERB
ejge-4329	126	52	a	a	DET
ejge-4329	126	53	price	price	NOUN
ejge-4329	126	54	less	less	ADJ
ejge-4329	126	55	than	than	ADP
ejge-4329	126	56	the	the	DET
ejge-4329	126	57	marginal	marginal	ADJ
ejge-4329	126	58	cost	cost	NOUN
ejge-4329	126	59	when	when	SCONJ
ejge-4329	126	60	the	the	DET
ejge-4329	126	61	competitive	competitive	ADJ
ejge-4329	126	62	market	market	NOUN
ejge-4329	126	63	is	be	AUX
ejge-4329	126	64	in	in	ADP
ejge-4329	126	65	equilibrium	equilibrium	NOUN
ejge-4329	126	66	.	.	PUNCT
ejge-4329	127	1	for	for	ADP
ejge-4329	127	2	the	the	DET
ejge-4329	127	3	mathematical	mathematical	ADJ
ejge-4329	127	4	treatment	treatment	NOUN
ejge-4329	127	5	,	,	PUNCT
ejge-4329	127	6	suppose	suppose	VERB
ejge-4329	127	7	that	that	SCONJ
ejge-4329	127	8	as	as	ADP
ejge-4329	127	9	a	a	DET
ejge-4329	127	10	result	result	NOUN
ejge-4329	127	11	of	of	ADP
ejge-4329	127	12	a	a	DET
ejge-4329	127	13	supply	supply	NOUN
ejge-4329	127	14	shock	shock	NOUN
ejge-4329	127	15	(	(	PUNCT
ejge-4329	127	16	while	while	SCONJ
ejge-4329	127	17	demand	demand	NOUN
ejge-4329	127	18	remains	remain	VERB
ejge-4329	127	19	the	the	DET
ejge-4329	127	20	same	same	ADJ
ejge-4329	127	21	)	)	PUNCT
ejge-4329	127	22	such	such	ADJ
ejge-4329	127	23	as	as	ADP
ejge-4329	127	24	a	a	DET
ejge-4329	127	25	technological	technological	ADJ
ejge-4329	127	26	advancement	advancement	NOUN
ejge-4329	127	27	which	which	PRON
ejge-4329	127	28	reduces	reduce	VERB
ejge-4329	127	29	the	the	DET
ejge-4329	127	30	marginal	marginal	ADJ
ejge-4329	127	31	cost	cost	NOUN
ejge-4329	127	32	of	of	ADP
ejge-4329	127	33	production	production	NOUN
ejge-4329	127	34	and	and	CCONJ
ejge-4329	127	35	increases	increase	VERB
ejge-4329	127	36	the	the	DET
ejge-4329	127	37	supply	supply	NOUN
ejge-4329	127	38	by	by	ADP
ejge-4329	127	39	the	the	DET
ejge-4329	127	40	producers	producer	NOUN
ejge-4329	127	41	,	,	PUNCT
ejge-4329	127	42	if	if	SCONJ
ejge-4329	127	43	the	the	DET
ejge-4329	127	44	middleman	middleman	NOUN
ejge-4329	127	45	wants	want	VERB
ejge-4329	127	46	to	to	PART
ejge-4329	127	47	hold	hold	VERB
ejge-4329	127	48	an	an	DET
ejge-4329	127	49	extra	extra	ADJ
ejge-4329	127	50	unit	unit	NOUN
ejge-4329	127	51	of	of	ADP
ejge-4329	127	52	inventory	inventory	NOUN
ejge-4329	127	53	,	,	PUNCT
ejge-4329	127	54	his	his	PRON
ejge-4329	127	55	marginal	marginal	ADJ
ejge-4329	127	56	cost	cost	NOUN
ejge-4329	127	57	of	of	ADP
ejge-4329	127	58	holding	hold	VERB
ejge-4329	127	59	an	an	DET
ejge-4329	127	60	extra	extra	ADJ
ejge-4329	127	61	unit	unit	NOUN
ejge-4329	127	62	,	,	PUNCT
ejge-4329	127	63	i.e.	i.e.	X
ejge-4329	127	64	)	)	PUNCT
ejge-4329	127	65	(	(	PUNCT
ejge-4329	127	66	)	)	PUNCT
ejge-4329	127	67	,	,	PUNCT
ejge-4329	127	68	(	(	PUNCT
ejge-4329	127	69	)	)	PUNCT
ejge-4329	127	70	)	)	PUNCT
ejge-4329	127	71	,	,	PUNCT
ejge-4329	127	72	(	(	PUNCT
ejge-4329	127	73	(	(	PUNCT
ejge-4329	127	74	.	.	PUNCT
ejge-4329	127	75	1	1	X
ejge-4329	127	76	.	.	PUNCT
ejge-4329	127	77	.	.	PUNCT
ejge-4329	128	1	pq	pq	INTJ
ejge-4329	128	2	epmepmς	epmepmς	NOUN
ejge-4329	128	3	,	,	PUNCT
ejge-4329	128	4	is	be	AUX
ejge-4329	128	5	higher	high	ADJ
ejge-4329	128	6	at	at	ADP
ejge-4329	128	7	the	the	DET
ejge-4329	128	8	previous	previous	ADJ
ejge-4329	128	9	price	price	NOUN
ejge-4329	128	10	,	,	PUNCT
ejge-4329	128	11	because	because	SCONJ
ejge-4329	128	12	the	the	DET
ejge-4329	128	13	term	term	NOUN
ejge-4329	128	14	)	)	PUNCT
ejge-4329	128	15	)	)	PUNCT
ejge-4329	128	16	,	,	PUNCT
ejge-4329	128	17	(	(	PUNCT
ejge-4329	128	18	(	(	PUNCT
ejge-4329	128	19	.	.	PUNCT
ejge-4329	128	20	epmς	epmς	NOUN
ejge-4329	128	21	is	be	AUX
ejge-4329	128	22	higher	high	ADJ
ejge-4329	128	23	at	at	ADP
ejge-4329	128	24	the	the	DET
ejge-4329	128	25	previous	previous	ADJ
ejge-4329	128	26	price	price	NOUN
ejge-4329	128	27	.	.	PUNCT
ejge-4329	129	1	this	this	PRON
ejge-4329	129	2	might	might	AUX
ejge-4329	129	3	be	be	AUX
ejge-4329	129	4	on	on	ADP
ejge-4329	129	5	account	account	NOUN
ejge-4329	129	6	of	of	ADP
ejge-4329	129	7	higher	high	ADJ
ejge-4329	129	8	storage	storage	NOUN
ejge-4329	129	9	charges	charge	NOUN
ejge-4329	129	10	because	because	SCONJ
ejge-4329	129	11	of	of	ADP
ejge-4329	129	12	increased	increase	VERB
ejge-4329	129	13	demand	demand	NOUN
ejge-4329	129	14	of	of	ADP
ejge-4329	129	15	warehouses	warehouse	NOUN
ejge-4329	129	16	,	,	PUNCT
ejge-4329	129	17	godowns	godown	NOUN
ejge-4329	129	18	,	,	PUNCT
ejge-4329	129	19	etc	etc	X
ejge-4329	129	20	.	.	X
ejge-4329	129	21	after	after	ADP
ejge-4329	129	22	increased	increase	VERB
ejge-4329	129	23	supply	supply	NOUN
ejge-4329	129	24	in	in	ADP
ejge-4329	129	25	the	the	DET
ejge-4329	129	26	market	market	NOUN
ejge-4329	129	27	.	.	PUNCT
ejge-4329	130	1	the	the	DET
ejge-4329	130	2	second	second	ADJ
ejge-4329	130	3	term	term	NOUN
ejge-4329	130	4	,	,	PUNCT
ejge-4329	130	5	i.e.	i.e.	X
ejge-4329	130	6	)	)	PUNCT
ejge-4329	130	7	(	(	PUNCT
ejge-4329	130	8	)	)	PUNCT
ejge-4329	130	9	,	,	PUNCT
ejge-4329	130	10	(	(	PUNCT
ejge-4329	130	11	.	.	PUNCT
ejge-4329	130	12	1	1	X
ejge-4329	130	13	.	.	PUNCT
ejge-4329	131	1	pq	pq	NOUN
ejge-4329	131	2	epm	epm	PROPN
ejge-4329	131	3	is	be	AUX
ejge-4329	131	4	a	a	DET
ejge-4329	131	5	function	function	NOUN
ejge-4329	131	6	of	of	ADP
ejge-4329	131	7	price	price	NOUN
ejge-4329	131	8	,	,	PUNCT
ejge-4329	131	9	and	and	CCONJ
ejge-4329	131	10	is	be	AUX
ejge-4329	131	11	the	the	DET
ejge-4329	131	12	same	same	ADJ
ejge-4329	131	13	as	as	ADP
ejge-4329	131	14	before	before	ADV
ejge-4329	131	15	as	as	SCONJ
ejge-4329	131	16	the	the	DET
ejge-4329	131	17	price	price	NOUN
ejge-4329	131	18	has	have	AUX
ejge-4329	131	19	not	not	PART
ejge-4329	131	20	changed	change	VERB
ejge-4329	131	21	yet	yet	ADV
ejge-4329	131	22	(	(	PUNCT
ejge-4329	131	23	we	we	PRON
ejge-4329	131	24	are	be	AUX
ejge-4329	131	25	assuming	assume	VERB
ejge-4329	131	26	that	that	SCONJ
ejge-4329	131	27	the	the	DET
ejge-4329	131	28	middleman	middleman	NOUN
ejge-4329	131	29	’s	’s	PART
ejge-4329	131	30	purchase	purchase	NOUN
ejge-4329	131	31	price	price	NOUN
ejge-4329	131	32	is	be	AUX
ejge-4329	131	33	the	the	DET
ejge-4329	131	34	same	same	ADJ
ejge-4329	131	35	as	as	ADP
ejge-4329	131	36	before	before	ADV
ejge-4329	131	37	as	as	SCONJ
ejge-4329	131	38	the	the	DET
ejge-4329	131	39	producer	producer	NOUN
ejge-4329	131	40	is	be	AUX
ejge-4329	131	41	a	a	DET
ejge-4329	131	42	price	price	NOUN
ejge-4329	131	43	taker	taker	NOUN
ejge-4329	131	44	during	during	ADP
ejge-4329	131	45	the	the	DET
ejge-4329	131	46	199	199	NUM
ejge-4329	131	47	n.	n.	NOUN
ejge-4329	131	48	nawaz	nawaz	ADJ
ejge-4329	131	49	/	/	SYM
ejge-4329	131	50	european	european	ADJ
ejge-4329	131	51	journal	journal	PROPN
ejge-4329	131	52	of	of	ADP
ejge-4329	131	53	government	government	NOUN
ejge-4329	131	54	and	and	CCONJ
ejge-4329	131	55	economics	economic	NOUN
ejge-4329	131	56	6(2	6(2	NUM
ejge-4329	131	57	)	)	PUNCT
ejge-4329	131	58	,	,	PUNCT
ejge-4329	131	59	191	191	NUM
ejge-4329	131	60	-	-	SYM
ejge-4329	131	61	225	225	NUM
ejge-4329	131	62	adjustment	adjustment	NOUN
ejge-4329	131	63	process	process	NOUN
ejge-4329	131	64	as	as	ADV
ejge-4329	131	65	well	well	ADV
ejge-4329	131	66	and	and	CCONJ
ejge-4329	131	67	always	always	ADV
ejge-4329	131	68	charges	charge	VERB
ejge-4329	131	69	a	a	DET
ejge-4329	131	70	fixed	fix	VERB
ejge-4329	131	71	fraction	fraction	NOUN
ejge-4329	131	72	of	of	ADP
ejge-4329	131	73	the	the	DET
ejge-4329	131	74	market	market	NOUN
ejge-4329	131	75	price	price	NOUN
ejge-4329	131	76	to	to	ADP
ejge-4329	131	77	the	the	DET
ejge-4329	131	78	middleman	middleman	NOUN
ejge-4329	131	79	)	)	PUNCT
ejge-4329	131	80	.	.	PUNCT
ejge-4329	132	1	a	a	DET
ejge-4329	132	2	discrete	discrete	ADJ
ejge-4329	132	3	analog	analog	NOUN
ejge-4329	132	4	of	of	ADP
ejge-4329	132	5	this	this	DET
ejge-4329	132	6	scenario	scenario	NOUN
ejge-4329	132	7	is	be	AUX
ejge-4329	132	8	that	that	SCONJ
ejge-4329	132	9	the	the	DET
ejge-4329	132	10	middleman	middleman	NOUN
ejge-4329	132	11	maximizes	maximize	VERB
ejge-4329	132	12	profits	profit	NOUN
ejge-4329	132	13	in	in	ADP
ejge-4329	132	14	each	each	DET
ejge-4329	132	15	time	time	NOUN
ejge-4329	132	16	period	period	NOUN
ejge-4329	132	17	without	without	ADP
ejge-4329	132	18	considering	consider	VERB
ejge-4329	132	19	the	the	DET
ejge-4329	132	20	future	future	ADJ
ejge-4329	132	21	time	time	NOUN
ejge-4329	132	22	periods	period	NOUN
ejge-4329	132	23	,	,	PUNCT
ejge-4329	132	24	and	and	CCONJ
ejge-4329	132	25	in	in	ADP
ejge-4329	132	26	each	each	DET
ejge-4329	132	27	time	time	NOUN
ejge-4329	132	28	period	period	NOUN
ejge-4329	132	29	he	he	PRON
ejge-4329	132	30	takes	take	VERB
ejge-4329	132	31	the	the	DET
ejge-4329	132	32	purchase	purchase	NOUN
ejge-4329	132	33	price	price	NOUN
ejge-4329	132	34	from	from	ADP
ejge-4329	132	35	the	the	DET
ejge-4329	132	36	producer	producer	NOUN
ejge-4329	132	37	as	as	SCONJ
ejge-4329	132	38	given	give	VERB
ejge-4329	132	39	and	and	CCONJ
ejge-4329	132	40	only	only	ADV
ejge-4329	132	41	chooses	choose	VERB
ejge-4329	132	42	the	the	DET
ejge-4329	132	43	sale	sale	NOUN
ejge-4329	132	44	price	price	NOUN
ejge-4329	132	45	.	.	PUNCT
ejge-4329	133	1	this	this	PRON
ejge-4329	133	2	implies	imply	VERB
ejge-4329	133	3	that	that	SCONJ
ejge-4329	133	4	on	on	ADP
ejge-4329	133	5	the	the	DET
ejge-4329	133	6	previous	previous	ADJ
ejge-4329	133	7	price	price	NOUN
ejge-4329	133	8	,	,	PUNCT
ejge-4329	133	9	now	now	ADV
ejge-4329	133	10	the	the	DET
ejge-4329	133	11	middleman	middleman	NOUN
ejge-4329	133	12	faces	face	VERB
ejge-4329	133	13	0,<),()),(()()(=	0,<),()),(()()(=	PROPN
ejge-4329	133	14	1	1	NUM
ejge-4329	133	15	...	...	PUNCT
ejge-4329	133	16	epmepmpqpqp	epmepmpqpqp	VERB
ejge-4329	133	17	p	p	PROPN
ejge-4329	133	18	ς−+	ς−+	PROPN
ejge-4329	133	19	∂	∂	NUM
ejge-4329	133	20	π∂	π∂	NOUN
ejge-4329	134	1	[	[	X
ejge-4329	134	2	3	3	X
ejge-4329	134	3	]	]	PUNCT
ejge-4329	134	4	which	which	PRON
ejge-4329	134	5	means	mean	VERB
ejge-4329	134	6	that	that	SCONJ
ejge-4329	134	7	the	the	DET
ejge-4329	134	8	middleman	middleman	NOUN
ejge-4329	134	9	must	must	AUX
ejge-4329	134	10	decrease	decrease	VERB
ejge-4329	134	11	the	the	DET
ejge-4329	134	12	price	price	NOUN
ejge-4329	134	13	to	to	PART
ejge-4329	134	14	hold	hold	VERB
ejge-4329	134	15	an	an	DET
ejge-4329	134	16	extra	extra	ADJ
ejge-4329	134	17	unit	unit	NOUN
ejge-4329	134	18	of	of	ADP
ejge-4329	134	19	inventory	inventory	NOUN
ejge-4329	134	20	to	to	PART
ejge-4329	134	21	satisfy	satisfy	VERB
ejge-4329	134	22	the	the	DET
ejge-4329	134	23	profit	profit	NOUN
ejge-4329	134	24	maximizing	maximize	VERB
ejge-4329	134	25	condition	condition	NOUN
ejge-4329	134	26	after	after	ADP
ejge-4329	134	27	the	the	DET
ejge-4329	134	28	supply	supply	NOUN
ejge-4329	134	29	shock	shock	NOUN
ejge-4329	134	30	.	.	PUNCT
ejge-4329	135	1	please	please	INTJ
ejge-4329	135	2	notice	notice	VERB
ejge-4329	135	3	that	that	SCONJ
ejge-4329	135	4	in	in	ADP
ejge-4329	135	5	this	this	DET
ejge-4329	135	6	static	static	ADJ
ejge-4329	135	7	scenario	scenario	NOUN
ejge-4329	135	8	,	,	PUNCT
ejge-4329	135	9	the	the	DET
ejge-4329	135	10	short	short	ADJ
ejge-4329	135	11	term	term	NOUN
ejge-4329	135	12	gains	gain	NOUN
ejge-4329	135	13	accrued	accrue	VERB
ejge-4329	135	14	from	from	ADP
ejge-4329	135	15	the	the	DET
ejge-4329	135	16	decreased	decrease	VERB
ejge-4329	135	17	marginal	marginal	ADJ
ejge-4329	135	18	cost	cost	NOUN
ejge-4329	135	19	of	of	ADP
ejge-4329	135	20	production	production	NOUN
ejge-4329	135	21	will	will	AUX
ejge-4329	135	22	be	be	AUX
ejge-4329	135	23	reaped	reap	VERB
ejge-4329	135	24	by	by	ADP
ejge-4329	135	25	the	the	DET
ejge-4329	135	26	producer	producer	NOUN
ejge-4329	135	27	,	,	PUNCT
ejge-4329	135	28	as	as	SCONJ
ejge-4329	135	29	his	his	PRON
ejge-4329	135	30	marginal	marginal	ADJ
ejge-4329	135	31	cost	cost	NOUN
ejge-4329	135	32	has	have	AUX
ejge-4329	135	33	decreased	decrease	VERB
ejge-4329	135	34	but	but	CCONJ
ejge-4329	135	35	he	he	PRON
ejge-4329	135	36	charges	charge	VERB
ejge-4329	135	37	the	the	DET
ejge-4329	135	38	same	same	ADJ
ejge-4329	135	39	price	price	NOUN
ejge-4329	135	40	to	to	ADP
ejge-4329	135	41	the	the	DET
ejge-4329	135	42	middleman	middleman	NOUN
ejge-4329	135	43	until	until	SCONJ
ejge-4329	135	44	the	the	DET
ejge-4329	135	45	middleman	middleman	NOUN
ejge-4329	135	46	changes	change	VERB
ejge-4329	135	47	the	the	DET
ejge-4329	135	48	price	price	NOUN
ejge-4329	135	49	.	.	PUNCT
ejge-4329	136	1	if	if	SCONJ
ejge-4329	136	2	we	we	PRON
ejge-4329	136	3	plot	plot	VERB
ejge-4329	136	4	together	together	ADV
ejge-4329	136	5	various	various	ADJ
ejge-4329	136	6	profit	profit	NOUN
ejge-4329	136	7	maximizing	maximize	VERB
ejge-4329	136	8	combinations	combination	NOUN
ejge-4329	136	9	of	of	ADP
ejge-4329	136	10	inventories	inventory	NOUN
ejge-4329	136	11	and	and	CCONJ
ejge-4329	136	12	the	the	DET
ejge-4329	136	13	respective	respective	ADJ
ejge-4329	136	14	prices	price	NOUN
ejge-4329	136	15	chosen	choose	VERB
ejge-4329	136	16	by	by	ADP
ejge-4329	136	17	a	a	DET
ejge-4329	136	18	middleman	middleman	NOUN
ejge-4329	136	19	,	,	PUNCT
ejge-4329	136	20	we	we	PRON
ejge-4329	136	21	will	will	AUX
ejge-4329	136	22	get	get	VERB
ejge-4329	136	23	a	a	DET
ejge-4329	136	24	downward	downward	ADJ
ejge-4329	136	25	sloping	slope	VERB
ejge-4329	136	26	inventory	inventory	NOUN
ejge-4329	136	27	curve	curve	NOUN
ejge-4329	136	28	with	with	ADP
ejge-4329	136	29	the	the	DET
ejge-4329	136	30	price	price	NOUN
ejge-4329	136	31	on	on	ADP
ejge-4329	136	32	the	the	DET
ejge-4329	136	33	y	y	PROPN
ejge-4329	136	34	-axis	-axis	PROPN
ejge-4329	136	35	and	and	CCONJ
ejge-4329	136	36	the	the	DET
ejge-4329	136	37	inventory	inventory	NOUN
ejge-4329	136	38	on	on	ADP
ejge-4329	136	39	the	the	DET
ejge-4329	136	40	x	x	SYM
ejge-4329	136	41	-axis	-axis	PROPN
ejge-4329	136	42	.	.	PUNCT
ejge-4329	137	1	this	this	PRON
ejge-4329	137	2	is	be	AUX
ejge-4329	137	3	analogous	analogous	ADJ
ejge-4329	137	4	to	to	ADP
ejge-4329	137	5	the	the	DET
ejge-4329	137	6	concept	concept	NOUN
ejge-4329	137	7	of	of	ADP
ejge-4329	137	8	supply	supply	NOUN
ejge-4329	137	9	and	and	CCONJ
ejge-4329	137	10	demand	demand	NOUN
ejge-4329	137	11	curves	curve	NOUN
ejge-4329	137	12	for	for	ADP
ejge-4329	137	13	the	the	DET
ejge-4329	137	14	profit	profit	NOUN
ejge-4329	137	15	maximizing	maximize	VERB
ejge-4329	137	16	producers	producer	NOUN
ejge-4329	137	17	and	and	CCONJ
ejge-4329	137	18	the	the	DET
ejge-4329	137	19	utility	utility	NOUN
ejge-4329	137	20	maximizing	maximize	VERB
ejge-4329	137	21	consumers	consumer	NOUN
ejge-4329	137	22	respectively	respectively	ADV
ejge-4329	137	23	.	.	PUNCT
ejge-4329	138	1	2.1.2	2.1.2	NUM
ejge-4329	138	2	dynamic	dynamic	ADJ
ejge-4329	138	3	problem	problem	NOUN
ejge-4329	138	4	now	now	ADV
ejge-4329	138	5	let	let	VERB
ejge-4329	138	6	’s	’s	NOUN
ejge-4329	138	7	consider	consider	VERB
ejge-4329	138	8	the	the	DET
ejge-4329	138	9	dynamic	dynamic	ADJ
ejge-4329	138	10	problem	problem	NOUN
ejge-4329	138	11	of	of	ADP
ejge-4329	138	12	the	the	DET
ejge-4329	138	13	middleman	middleman	NOUN
ejge-4329	138	14	.	.	PUNCT
ejge-4329	139	1	in	in	ADP
ejge-4329	139	2	a	a	DET
ejge-4329	139	3	dynamic	dynamic	ADJ
ejge-4329	139	4	setting	setting	NOUN
ejge-4329	139	5	,	,	PUNCT
ejge-4329	139	6	the	the	DET
ejge-4329	139	7	middleman	middleman	NOUN
ejge-4329	139	8	maximizes	maximize	VERB
ejge-4329	139	9	the	the	DET
ejge-4329	139	10	present	present	ADJ
ejge-4329	139	11	discounted	discount	VERB
ejge-4329	139	12	value	value	NOUN
ejge-4329	139	13	of	of	ADP
ejge-4329	139	14	the	the	DET
ejge-4329	139	15	future	future	ADJ
ejge-4329	139	16	stream	stream	NOUN
ejge-4329	139	17	of	of	ADP
ejge-4329	139	18	profits	profit	NOUN
ejge-4329	139	19	,	,	PUNCT
ejge-4329	139	20	and	and	CCONJ
ejge-4329	139	21	his	his	PRON
ejge-4329	139	22	present	present	ADJ
ejge-4329	139	23	value	value	NOUN
ejge-4329	139	24	at	at	ADP
ejge-4329	139	25	time	time	NOUN
ejge-4329	139	26	zero	zero	NUM
ejge-4329	139	27	is	be	AUX
ejge-4329	139	28	as	as	SCONJ
ejge-4329	139	29	follows	follow	VERB
ejge-4329	139	30	:	:	PUNCT
ejge-4329	139	31	[	[	PUNCT
ejge-4329	139	32	]	]	X
ejge-4329	139	33	,	,	PUNCT
ejge-4329	139	34	)	)	PUNCT
ejge-4329	139	35	)	)	PUNCT
ejge-4329	139	36	,	,	PUNCT
ejge-4329	139	37	(	(	PUNCT
ejge-4329	139	38	(	(	PUNCT
ejge-4329	139	39	)	)	PUNCT
ejge-4329	139	40	(=	(=	X
ejge-4329	139	41	(	(	PUNCT
ejge-4329	139	42	0	0	NUM
ejge-4329	139	43	)	)	PUNCT
ejge-4329	139	44	0	0	NUM
ejge-4329	140	1	dteepmppqv	dteepmppqv	X
ejge-4329	140	2	rt−	rt−	NUM
ejge-4329	140	3	∞	∞	PROPN
ejge-4329	140	4	−∫	−∫	NOUN
ejge-4329	140	5	ς	ς	X
ejge-4329	140	6	[	[	X
ejge-4329	140	7	4	4	X
ejge-4329	140	8	]	]	PUNCT
ejge-4329	140	9	where	where	SCONJ
ejge-4329	140	10	r	r	NOUN
ejge-4329	140	11	denotes	denote	VERB
ejge-4329	140	12	the	the	DET
ejge-4329	140	13	discount	discount	NOUN
ejge-4329	140	14	rate	rate	NOUN
ejge-4329	140	15	,	,	PUNCT
ejge-4329	140	16	)	)	PUNCT
ejge-4329	140	17	(	(	PUNCT
ejge-4329	140	18	tp	tp	NOUN
ejge-4329	140	19	is	be	AUX
ejge-4329	140	20	the	the	DET
ejge-4329	140	21	control	control	NOUN
ejge-4329	140	22	variable	variable	NOUN
ejge-4329	140	23	and	and	CCONJ
ejge-4329	140	24	)	)	PUNCT
ejge-4329	140	25	(	(	PUNCT
ejge-4329	140	26	tm	tm	ADP
ejge-4329	140	27	the	the	DET
ejge-4329	140	28	state	state	NOUN
ejge-4329	140	29	variable	variable	NOUN
ejge-4329	140	30	.	.	PUNCT
ejge-4329	141	1	the	the	DET
ejge-4329	141	2	maximization	maximization	NOUN
ejge-4329	141	3	problem	problem	NOUN
ejge-4329	141	4	can	can	AUX
ejge-4329	141	5	be	be	AUX
ejge-4329	141	6	written	write	VERB
ejge-4329	141	7	as	as	ADP
ejge-4329	141	8	{	{	PUNCT
ejge-4329	141	9	}	}	PUNCT
ejge-4329	141	10	[	[	PUNCT
ejge-4329	141	11	]	]	X
ejge-4329	141	12	,	,	PUNCT
ejge-4329	141	13	)	)	PUNCT
ejge-4329	141	14	)	)	PUNCT
ejge-4329	141	15	,	,	PUNCT
ejge-4329	141	16	(	(	PUNCT
ejge-4329	141	17	(	(	PUNCT
ejge-4329	141	18	)	)	PUNCT
ejge-4329	141	19	(=	(=	X
ejge-4329	141	20	(	(	PUNCT
ejge-4329	141	21	0	0	NUM
ejge-4329	141	22	)	)	PUNCT
ejge-4329	141	23	0	0	NUM
ejge-4329	141	24	)	)	PUNCT
ejge-4329	142	1	(	(	PUNCT
ejge-4329	142	2	dteepmppqvmax	dteepmppqvmax	NOUN
ejge-4329	142	3	rt	rt	PROPN
ejge-4329	142	4	tp	tp	ADP
ejge-4329	142	5	−	−	PROPN
ejge-4329	142	6	∞	∞	NUM
ejge-4329	142	7	−∫	−∫	NOUN
ejge-4329	142	8	ς	ς	NOUN
ejge-4329	142	9	subject	subject	NOUN
ejge-4329	142	10	to	to	ADP
ejge-4329	142	11	the	the	DET
ejge-4329	142	12	constraints	constraint	NOUN
ejge-4329	142	13	)	)	PUNCT
ejge-4329	142	14	(	(	PUNCT
ejge-4329	142	15	)	)	PUNCT
ejge-4329	142	16	)	)	PUNCT
ejge-4329	142	17	,	,	PUNCT
ejge-4329	142	18	(	(	PUNCT
ejge-4329	142	19	(	(	PUNCT
ejge-4329	142	20	)	)	PUNCT
ejge-4329	142	21	)	)	PUNCT
ejge-4329	142	22	)	)	PUNCT
ejge-4329	142	23	,	,	PUNCT
ejge-4329	142	24	(	(	PUNCT
ejge-4329	142	25	(	(	PUNCT
ejge-4329	142	26	)	)	PUNCT
ejge-4329	142	27	,	,	PUNCT
ejge-4329	142	28	(	(	PUNCT
ejge-4329	142	29	(	(	PUNCT
ejge-4329	142	30	)	)	PUNCT
ejge-4329	142	31	(	(	PUNCT
ejge-4329	142	32	)	)	PUNCT
ejge-4329	142	33	)	)	PUNCT
ejge-4329	142	34	)	)	PUNCT
ejge-4329	142	35	,	,	PUNCT
ejge-4329	142	36	(	(	PUNCT
ejge-4329	142	37	(	(	PUNCT
ejge-4329	142	38	)	)	PUNCT
ejge-4329	142	39	,	,	PUNCT
ejge-4329	142	40	(	(	PUNCT
ejge-4329	142	41	(=	(=	X
ejge-4329	142	42	)	)	PUNCT
ejge-4329	142	43	(	(	PUNCT
ejge-4329	142	44	.	.	PUNCT
ejge-4329	142	45	1	1	NUM
ejge-4329	142	46	..	..	SYM
ejge-4329	142	47	2	2	NUM
ejge-4329	142	48	..	..	SYM
ejge-4329	142	49	1	1	X
ejge-4329	142	50	.	.	PUNCT
ejge-4329	143	1	tpztpeztpetpmtpztpetpmtm	tpztpeztpetpmtpztpetpmtm	PROPN
ejge-4329	143	2	+	+	CCONJ
ejge-4329	143	3	(	(	PUNCT
ejge-4329	143	4	state	state	NOUN
ejge-4329	143	5	equation	equation	NOUN
ejge-4329	143	6	,	,	PUNCT
ejge-4329	143	7	describing	describe	VERB
ejge-4329	143	8	how	how	SCONJ
ejge-4329	143	9	the	the	DET
ejge-4329	143	10	state	state	NOUN
ejge-4329	143	11	variable	variable	ADJ
ejge-4329	143	12	changes	change	NOUN
ejge-4329	143	13	with	with	ADP
ejge-4329	143	14	time	time	NOUN
ejge-4329	143	15	;	;	PUNCT
ejge-4329	143	16	z	z	NOUN
ejge-4329	143	17	are	be	AUX
ejge-4329	143	18	exogenous	exogenous	ADJ
ejge-4329	143	19	factors	factor	NOUN
ejge-4329	143	20	)	)	PUNCT
ejge-4329	144	1	,	,	PUNCT
ejge-4329	144	2	smm	smm	VERB
ejge-4329	144	3	=(	=(	NOUN
ejge-4329	144	4	0	0	NUM
ejge-4329	144	5	)	)	PUNCT
ejge-4329	144	6	(	(	PUNCT
ejge-4329	144	7	initial	initial	ADJ
ejge-4329	144	8	condition	condition	NOUN
ejge-4329	144	9	)	)	PUNCT
ejge-4329	144	10	,	,	PUNCT
ejge-4329	144	11	0	0	NUM
ejge-4329	144	12	)	)	PUNCT
ejge-4329	144	13	(	(	PUNCT
ejge-4329	144	14	≥tm	≥tm	X
ejge-4329	144	15	(	(	PUNCT
ejge-4329	144	16	non	non	ADJ
ejge-4329	144	17	-	-	ADJ
ejge-4329	144	18	negativity	negativity	ADJ
ejge-4329	144	19	constraint	constraint	NOUN
ejge-4329	144	20	on	on	ADP
ejge-4329	144	21	state	state	NOUN
ejge-4329	144	22	variable	variable	NOUN
ejge-4329	144	23	)	)	PUNCT
ejge-4329	144	24	,	,	PUNCT
ejge-4329	144	25	)	)	PUNCT
ejge-4329	144	26	(	(	PUNCT
ejge-4329	144	27	∞m	∞m	VERB
ejge-4329	144	28	free	free	ADJ
ejge-4329	144	29	(	(	PUNCT
ejge-4329	144	30	terminal	terminal	ADJ
ejge-4329	144	31	condition	condition	NOUN
ejge-4329	144	32	)	)	PUNCT
ejge-4329	144	33	.	.	PUNCT
ejge-4329	145	1	200	200	NUM
ejge-4329	145	2	n.	n.	NOUN
ejge-4329	145	3	nawaz	nawaz	ADJ
ejge-4329	145	4	/	/	SYM
ejge-4329	145	5	european	european	ADJ
ejge-4329	145	6	journal	journal	PROPN
ejge-4329	145	7	of	of	ADP
ejge-4329	145	8	government	government	NOUN
ejge-4329	145	9	and	and	CCONJ
ejge-4329	145	10	economics	economic	NOUN
ejge-4329	145	11	6(2	6(2	NUM
ejge-4329	145	12	)	)	PUNCT
ejge-4329	145	13	,	,	PUNCT
ejge-4329	145	14	191	191	NUM
ejge-4329	145	15	-	-	SYM
ejge-4329	145	16	225	225	NUM
ejge-4329	145	17	the	the	DET
ejge-4329	145	18	current	current	ADJ
ejge-4329	145	19	-	-	PUNCT
ejge-4329	145	20	value	value	NOUN
ejge-4329	145	21	hamiltonian	hamiltonian	NOUN
ejge-4329	145	22	for	for	ADP
ejge-4329	145	23	this	this	DET
ejge-4329	145	24	case	case	NOUN
ejge-4329	145	25	is	be	AUX
ejge-4329	145	26	.	.	PUNCT
ejge-4329	145	27	)	)	PUNCT
ejge-4329	145	28	)	)	PUNCT
ejge-4329	145	29	,	,	PUNCT
ejge-4329	145	30	(	(	PUNCT
ejge-4329	145	31	(	(	PUNCT
ejge-4329	145	32	)	)	PUNCT
ejge-4329	145	33	)	)	PUNCT
ejge-4329	145	34	)	)	PUNCT
ejge-4329	145	35	,	,	PUNCT
ejge-4329	145	36	(	(	PUNCT
ejge-4329	145	37	(	(	PUNCT
ejge-4329	145	38	)	)	PUNCT
ejge-4329	145	39	,	,	PUNCT
ejge-4329	145	40	(	(	PUNCT
ejge-4329	145	41	(	(	PUNCT
ejge-4329	145	42	)	)	PUNCT
ejge-4329	145	43	)	)	PUNCT
ejge-4329	145	44	)	)	PUNCT
ejge-4329	145	45	,	,	PUNCT
ejge-4329	145	46	(	(	PUNCT
ejge-4329	145	47	(	(	PUNCT
ejge-4329	145	48	)	)	PUNCT
ejge-4329	145	49	,	,	PUNCT
ejge-4329	145	50	(	(	PUNCT
ejge-4329	145	51	(	(	PUNCT
ejge-4329	145	52	)	)	PUNCT
ejge-4329	145	53	(	(	PUNCT
ejge-4329	145	54	)	)	PUNCT
ejge-4329	145	55	(	(	PUNCT
ejge-4329	145	56	)	)	PUNCT
ejge-4329	145	57	)	)	PUNCT
ejge-4329	145	58	)	)	PUNCT
ejge-4329	145	59	)	)	PUNCT
ejge-4329	145	60	,	,	PUNCT
ejge-4329	145	61	(	(	PUNCT
ejge-4329	145	62	(	(	PUNCT
ejge-4329	145	63	)	)	PUNCT
ejge-4329	145	64	,	,	PUNCT
ejge-4329	145	65	(	(	PUNCT
ejge-4329	145	66	(	(	PUNCT
ejge-4329	145	67	(	(	PUNCT
ejge-4329	145	68	)	)	PUNCT
ejge-4329	145	69	)	)	PUNCT
ejge-4329	145	70	(	(	PUNCT
ejge-4329	145	71	(	(	PUNCT
ejge-4329	145	72	)	)	PUNCT
ejge-4329	145	73	(=	(=	X
ejge-4329	145	74	~	~	PUNCT
ejge-4329	145	75	1	1	X
ejge-4329	145	76	.	.	PUNCT
ejge-4329	145	77	.	.	PUNCT
ejge-4329	146	1	2	2	NUM
ejge-4329	146	2	.	.	NUM
ejge-4329	146	3	1	1	NUM
ejge-4329	146	4	.	.	PUNCT
ejge-4329	147	1			PROPN
ejge-4329	147	2			PROPN
ejge-4329	147	3			PROPN
ejge-4329	147	4			PROPN
ejge-4329	147	5			ADJ
ejge-4329	147	6			ADJ
ejge-4329	147	7			NUM
ejge-4329	147	8			VERB
ejge-4329	147	9	∗++−	∗++−	PROPN
ejge-4329	147	10	ztpe	ztpe	PROPN
ejge-4329	147	11	ztpetpmztpetpmtptztpetpmtpqtph	ztpetpmztpetpmtptztpetpmtpqtph	PROPN
ejge-4329	147	12	µς	µς	X
ejge-4329	148	1	[	[	X
ejge-4329	148	2	5	5	NUM
ejge-4329	148	3	]	]	PUNCT
ejge-4329	148	4	the	the	DET
ejge-4329	148	5	maximizing	maximize	VERB
ejge-4329	148	6	conditions	condition	NOUN
ejge-4329	148	7	are	be	AUX
ejge-4329	148	8	as	as	SCONJ
ejge-4329	148	9	follows	follow	VERB
ejge-4329	148	10	:	:	PUNCT
ejge-4329	148	11	)	)	PUNCT
ejge-4329	148	12	(	(	PUNCT
ejge-4329	148	13	i	i	NOUN
ejge-4329	148	14	)	)	PUNCT
ejge-4329	148	15	(	(	PUNCT
ejge-4329	148	16	tp∗	tp∗	NOUN
ejge-4329	148	17	maximizes	maximize	VERB
ejge-4329	148	18	h~	h~	PROPN
ejge-4329	148	19	for	for	ADP
ejge-4329	148	20	all	all	DET
ejge-4329	148	21	t	t	NOUN
ejge-4329	148	22	:	:	PUNCT
ejge-4329	148	23	0,=	0,=	NUM
ejge-4329	148	24	~	~	PUNCT
ejge-4329	149	1	p	p	X
ejge-4329	149	2	h	h	NOUN
ejge-4329	149	3	∂	∂	NOUN
ejge-4329	149	4	∂	∂	NUM
ejge-4329	149	5	)	)	PUNCT
ejge-4329	149	6	(	(	PUNCT
ejge-4329	149	7	ii	ii	NOUN
ejge-4329	149	8	,	,	PUNCT
ejge-4329	149	9	~	~	PUNCT
ejge-4329	149	10	=	=	PUNCT
ejge-4329	149	11	.	.	PUNCT
ejge-4329	150	1	m	m	PROPN
ejge-4329	150	2	hr	hr	PROPN
ejge-4329	150	3	∂	∂	NUM
ejge-4329	150	4	∂	∂	NUM
ejge-4329	150	5	−−	−−	NOUN
ejge-4329	150	6	µµ	µµ	NOUN
ejge-4329	150	7	)	)	PUNCT
ejge-4329	150	8	(	(	PUNCT
ejge-4329	150	9	iii	iii	X
ejge-4329	150	10	µ∂	µ∂	NOUN
ejge-4329	150	11	∂∗	∂∗	VERB
ejge-4329	150	12	hm	hm	INTJ
ejge-4329	150	13	~	~	PUNCT
ejge-4329	150	14	=	=	PUNCT
ejge-4329	150	15	.	.	PUNCT
ejge-4329	151	1	(	(	PUNCT
ejge-4329	151	2	this	this	PRON
ejge-4329	151	3	just	just	ADV
ejge-4329	151	4	gives	give	VERB
ejge-4329	151	5	back	back	ADP
ejge-4329	151	6	the	the	DET
ejge-4329	151	7	state	state	NOUN
ejge-4329	151	8	equation	equation	NOUN
ejge-4329	151	9	)	)	PUNCT
ejge-4329	151	10	,	,	PUNCT
ejge-4329	151	11	)	)	PUNCT
ejge-4329	151	12	(	(	PUNCT
ejge-4329	151	13	iv	iv	NUM
ejge-4329	151	14	0=)()(lim	0=)()(lim	NUM
ejge-4329	151	15	rt	rt	PROPN
ejge-4329	151	16	t	t	PROPN
ejge-4329	151	17	etmt	etmt	VERB
ejge-4329	151	18	−	−	PROPN
ejge-4329	151	19	∞→	∞→	ADJ
ejge-4329	151	20	µ	µ	X
ejge-4329	151	21	(	(	PUNCT
ejge-4329	151	22	the	the	DET
ejge-4329	151	23	transversality	transversality	NOUN
ejge-4329	151	24	condition	condition	NOUN
ejge-4329	151	25	)	)	PUNCT
ejge-4329	151	26	.	.	PUNCT
ejge-4329	152	1	the	the	DET
ejge-4329	152	2	first	first	ADJ
ejge-4329	152	3	two	two	NUM
ejge-4329	152	4	conditions	condition	NOUN
ejge-4329	152	5	are	be	AUX
ejge-4329	152	6	as	as	SCONJ
ejge-4329	152	7	follows	follow	VERB
ejge-4329	152	8	:	:	PUNCT
ejge-4329	152	9	0,=	0,=	NUM
ejge-4329	152	10	~	~	PUNCT
ejge-4329	152	11	p	p	NOUN
ejge-4329	152	12	h	h	NOUN
ejge-4329	152	13	∂	∂	NOUN
ejge-4329	152	14	∂	∂	NOUN
ejge-4329	153	1	[	[	X
ejge-4329	153	2	6	6	NUM
ejge-4329	153	3	]	]	PUNCT
ejge-4329	153	4	and	and	CCONJ
ejge-4329	153	5	)	)	PUNCT
ejge-4329	153	6	)	)	PUNCT
ejge-4329	153	7	)	)	PUNCT
ejge-4329	154	1	.),((),(((=	.),((),(((=	PUNCT
ejge-4329	155	1	~	~	PUNCT
ejge-4329	155	2	=	=	PUNCT
ejge-4329	155	3	..	..	PUNCT
ejge-4329	156	1	ztpetpm	ztpetpm	PROPN
ejge-4329	156	2	m	m	VERB
ejge-4329	156	3	hr	hr	PROPN
ejge-4329	156	4	ςµµ	ςµµ	PROPN
ejge-4329	156	5	∂	∂	NUM
ejge-4329	156	6	∂	∂	NUM
ejge-4329	156	7	−−	−−	NOUN
ejge-4329	156	8	[	[	X
ejge-4329	156	9	7	7	X
ejge-4329	156	10	]	]	PUNCT
ejge-4329	156	11	when	when	SCONJ
ejge-4329	156	12	the	the	DET
ejge-4329	156	13	market	market	NOUN
ejge-4329	156	14	is	be	AUX
ejge-4329	156	15	in	in	ADP
ejge-4329	156	16	equilibrium	equilibrium	NOUN
ejge-4329	156	17	,	,	PUNCT
ejge-4329	156	18	0,=	0,=	NUM
ejge-4329	156	19	)	)	PUNCT
ejge-4329	156	20	(	(	PUNCT
ejge-4329	156	21	.	.	PUNCT
ejge-4329	157	1	tp	tp	NOUN
ejge-4329	157	2	and	and	CCONJ
ejge-4329	157	3	the	the	DET
ejge-4329	157	4	expression	expression	NOUN
ejge-4329	157	5	p	p	PROPN
ejge-4329	157	6	h	h	PROPN
ejge-4329	157	7	∂	∂	NOUN
ejge-4329	157	8	∂	∂	NOUN
ejge-4329	157	9	~	~	PUNCT
ejge-4329	157	10	boils	boil	VERB
ejge-4329	157	11	down	down	ADP
ejge-4329	157	12	to	to	ADP
ejge-4329	157	13	the	the	DET
ejge-4329	157	14	following	follow	VERB
ejge-4329	157	15	(	(	PUNCT
ejge-4329	157	16	see	see	VERB
ejge-4329	157	17	appendix	appendix	NOUN
ejge-4329	157	18	):	):	PUNCT
ejge-4329	157	19	,	,	PUNCT
ejge-4329	157	20	)	)	PUNCT
ejge-4329	157	21	)	)	PUNCT
ejge-4329	157	22	(	(	PUNCT
ejge-4329	157	23	(	(	PUNCT
ejge-4329	157	24	)	)	PUNCT
ejge-4329	157	25	)	)	PUNCT
ejge-4329	157	26	,	,	PUNCT
ejge-4329	157	27	(	(	PUNCT
ejge-4329	157	28	(	(	PUNCT
ejge-4329	157	29	)	)	PUNCT
ejge-4329	157	30	)	)	PUNCT
ejge-4329	157	31	)	)	PUNCT
ejge-4329	157	32	,	,	PUNCT
ejge-4329	157	33	(	(	PUNCT
ejge-4329	157	34	(	(	PUNCT
ejge-4329	157	35	)	)	PUNCT
ejge-4329	157	36	,	,	PUNCT
ejge-4329	157	37	(	(	PUNCT
ejge-4329	157	38	(	(	PUNCT
ejge-4329	157	39	)	)	PUNCT
ejge-4329	157	40	)	)	PUNCT
ejge-4329	157	41	(	(	PUNCT
ejge-4329	157	42	(	(	PUNCT
ejge-4329	157	43	)	)	PUNCT
ejge-4329	157	44	)	)	PUNCT
ejge-4329	157	45	)	)	PUNCT
ejge-4329	157	46	,	,	PUNCT
ejge-4329	157	47	(	(	PUNCT
ejge-4329	157	48	(	(	PUNCT
ejge-4329	157	49	)	)	PUNCT
ejge-4329	157	50	,	,	PUNCT
ejge-4329	157	51	(	(	PUNCT
ejge-4329	157	52	(	(	PUNCT
ejge-4329	157	53	)	)	PUNCT
ejge-4329	157	54	)	)	PUNCT
ejge-4329	157	55	)	)	PUNCT
ejge-4329	157	56	)	)	PUNCT
ejge-4329	157	57	,	,	PUNCT
ejge-4329	157	58	(	(	PUNCT
ejge-4329	157	59	(	(	PUNCT
ejge-4329	157	60	)	)	PUNCT
ejge-4329	157	61	,	,	PUNCT
ejge-4329	157	62	(	(	PUNCT
ejge-4329	157	63	(	(	PUNCT
ejge-4329	157	64	(=	(=	NOUN
ejge-4329	157	65	11	11	NUM
ejge-4329	157	66	)	)	PUNCT
ejge-4329	157	67	(	(	PUNCT
ejge-4329	157	68	.	.	PUNCT
ejge-4329	158	1	1	1	NUM
ejge-4329	158	2	..	..	SYM
ejge-4329	158	3	2	2	NUM
ejge-4329	158	4	.	.	SYM
ejge-4329	159	1	1	1	NUM
ejge-4329	159	2	.	.	PUNCT
ejge-4329	159	3	.	.	PUNCT
ejge-4329	160	1			PROPN
ejge-4329	160	2			PROPN
ejge-4329	160	3			PROPN
ejge-4329	160	4			PROPN
ejge-4329	160	5			PROPN
ejge-4329	160	6			VERB
ejge-4329	160	7			X
ejge-4329	160	8			PROPN
ejge-4329	160	9	+	+	PROPN
ejge-4329	160	10			PROPN
ejge-4329	160	11			PROPN
ejge-4329	160	12			PROPN
ejge-4329	160	13			ADJ
ejge-4329	160	14			NUM
ejge-4329	160	15			NOUN
ejge-4329	161	1	+	+	X
ejge-4329	161	2	tpq	tpq	ADP
ejge-4329	161	3	ztpeztpetpm	ztpeztpetpm	NUM
ejge-4329	161	4	tpq	tpq	NOUN
ejge-4329	161	5	ztpetpmztpetpm	ztpetpmztpetpm	PROPN
ejge-4329	161	6	ticitydemandelas	ticitydemandelas	PROPN
ejge-4329	161	7	tp	tp	ADP
ejge-4329	161	8	ς	ς	PROPN
ejge-4329	161	9	whiche	whiche	NOUN
ejge-4329	161	10	suggests	suggest	VERB
ejge-4329	161	11	that	that	SCONJ
ejge-4329	161	12	the	the	DET
ejge-4329	161	13	price	price	NOUN
ejge-4329	161	14	equals	equal	VERB
ejge-4329	161	15	the	the	DET
ejge-4329	161	16	marginal	marginal	ADJ
ejge-4329	161	17	cost	cost	NOUN
ejge-4329	161	18	(	(	PUNCT
ejge-4329	161	19	the	the	DET
ejge-4329	161	20	right	right	ADJ
ejge-4329	161	21	hand	hand	NOUN
ejge-4329	161	22	side	side	NOUN
ejge-4329	161	23	of	of	ADP
ejge-4329	161	24	the	the	DET
ejge-4329	161	25	above	above	ADJ
ejge-4329	161	26	expression	expression	NOUN
ejge-4329	161	27	is	be	AUX
ejge-4329	161	28	the	the	DET
ejge-4329	161	29	marginal	marginal	ADJ
ejge-4329	161	30	cost	cost	NOUN
ejge-4329	161	31	in	in	ADP
ejge-4329	161	32	a	a	DET
ejge-4329	161	33	dynamic	dynamic	ADJ
ejge-4329	161	34	setting	setting	NOUN
ejge-4329	161	35	,	,	PUNCT
ejge-4329	161	36	which	which	PRON
ejge-4329	161	37	is	be	AUX
ejge-4329	161	38	different	different	ADJ
ejge-4329	161	39	from	from	ADP
ejge-4329	161	40	that	that	PRON
ejge-4329	161	41	in	in	ADP
ejge-4329	161	42	a	a	DET
ejge-4329	161	43	static	static	ADJ
ejge-4329	161	44	problem	problem	NOUN
ejge-4329	161	45	on	on	ADP
ejge-4329	161	46	account	account	NOUN
ejge-4329	161	47	of	of	ADP
ejge-4329	161	48	the	the	DET
ejge-4329	161	49	fact	fact	NOUN
ejge-4329	161	50	that	that	SCONJ
ejge-4329	161	51	in	in	ADP
ejge-4329	161	52	a	a	DET
ejge-4329	161	53	dynamic	dynamic	ADJ
ejge-4329	161	54	setting	set	VERB
ejge-4329	161	55	the	the	DET
ejge-4329	161	56	middleman	middleman	NOUN
ejge-4329	161	57	also	also	ADV
ejge-4329	161	58	takes	take	VERB
ejge-4329	161	59	into	into	ADP
ejge-4329	161	60	account	account	NOUN
ejge-4329	161	61	the	the	DET
ejge-4329	161	62	impact	impact	NOUN
ejge-4329	161	63	of	of	ADP
ejge-4329	161	64	price	price	NOUN
ejge-4329	161	65	chosen	choose	VERB
ejge-4329	161	66	on	on	ADP
ejge-4329	161	67	his	his	PRON
ejge-4329	161	68	purchase	purchase	NOUN
ejge-4329	161	69	price	price	NOUN
ejge-4329	161	70	from	from	ADP
ejge-4329	161	71	the	the	DET
ejge-4329	161	72	producer	producer	NOUN
ejge-4329	161	73	)	)	PUNCT
ejge-4329	161	74	when	when	SCONJ
ejge-4329	161	75	the	the	DET
ejge-4329	161	76	demand	demand	NOUN
ejge-4329	161	77	is	be	AUX
ejge-4329	161	78	infinitely	infinitely	ADV
ejge-4329	161	79	elastic	elastic	ADJ
ejge-4329	161	80	.	.	PUNCT
ejge-4329	162	1	now	now	ADV
ejge-4329	162	2	suppose	suppose	VERB
ejge-4329	162	3	that	that	SCONJ
ejge-4329	162	4	as	as	ADP
ejge-4329	162	5	a	a	DET
ejge-4329	162	6	result	result	NOUN
ejge-4329	162	7	of	of	ADP
ejge-4329	162	8	a	a	DET
ejge-4329	162	9	supply	supply	NOUN
ejge-4329	162	10	shock	shock	NOUN
ejge-4329	162	11	,	,	PUNCT
ejge-4329	162	12	if	if	SCONJ
ejge-4329	162	13	the	the	DET
ejge-4329	162	14	middleman	middleman	NOUN
ejge-4329	162	15	wants	want	VERB
ejge-4329	162	16	to	to	PART
ejge-4329	162	17	hold	hold	VERB
ejge-4329	162	18	an	an	DET
ejge-4329	162	19	extra	extra	ADJ
ejge-4329	162	20	unit	unit	NOUN
ejge-4329	162	21	of	of	ADP
ejge-4329	162	22	inventory	inventory	NOUN
ejge-4329	162	23	,	,	PUNCT
ejge-4329	162	24	then	then	ADV
ejge-4329	162	25	the	the	DET
ejge-4329	162	26	marginal	marginal	ADJ
ejge-4329	162	27	cost	cost	NOUN
ejge-4329	162	28	of	of	ADP
ejge-4329	162	29	holding	hold	VERB
ejge-4329	162	30	an	an	DET
ejge-4329	162	31	extra	extra	ADJ
ejge-4329	162	32	unit	unit	NOUN
ejge-4329	162	33	is	be	AUX
ejge-4329	162	34	higher	high	ADJ
ejge-4329	162	35	because	because	SCONJ
ejge-4329	162	36	the	the	DET
ejge-4329	162	37	term	term	NOUN
ejge-4329	162	38	)	)	PUNCT
ejge-4329	162	39	)	)	PUNCT
ejge-4329	162	40	)	)	PUNCT
ejge-4329	162	41	)	)	PUNCT
ejge-4329	162	42	,	,	PUNCT
ejge-4329	162	43	(	(	PUNCT
ejge-4329	162	44	(	(	PUNCT
ejge-4329	162	45	)	)	PUNCT
ejge-4329	162	46	,	,	PUNCT
ejge-4329	162	47	(	(	PUNCT
ejge-4329	162	48	(	(	PUNCT
ejge-4329	162	49	(	(	PUNCT
ejge-4329	162	50	.	.	PUNCT
ejge-4329	162	51	ztpetpmς	ztpetpmς	NOUN
ejge-4329	162	52	is	be	AUX
ejge-4329	162	53	higher	high	ADJ
ejge-4329	162	54	at	at	ADP
ejge-4329	162	55	the	the	DET
ejge-4329	162	56	previous	previous	ADJ
ejge-4329	162	57	price	price	NOUN
ejge-4329	162	58	at	at	ADP
ejge-4329	162	59	that	that	DET
ejge-4329	162	60	point	point	NOUN
ejge-4329	162	61	in	in	ADP
ejge-4329	162	62	time	time	NOUN
ejge-4329	162	63	.	.	PUNCT
ejge-4329	163	1	the	the	DET
ejge-4329	163	2	term	term	NOUN
ejge-4329	163	3	in	in	ADP
ejge-4329	163	4	201	201	NUM
ejge-4329	163	5	n.	n.	NOUN
ejge-4329	163	6	nawaz	nawaz	ADJ
ejge-4329	163	7	/	/	SYM
ejge-4329	163	8	european	european	ADJ
ejge-4329	163	9	journal	journal	PROPN
ejge-4329	163	10	of	of	ADP
ejge-4329	163	11	government	government	NOUN
ejge-4329	163	12	and	and	CCONJ
ejge-4329	163	13	economics	economic	NOUN
ejge-4329	163	14	6(2	6(2	NUM
ejge-4329	163	15	)	)	PUNCT
ejge-4329	163	16	,	,	PUNCT
ejge-4329	163	17	191	191	NUM
ejge-4329	163	18	-	-	SYM
ejge-4329	163	19	225	225	NUM
ejge-4329	163	20	parentheses	parenthesis	NOUN
ejge-4329	163	21	in	in	ADP
ejge-4329	163	22	the	the	DET
ejge-4329	163	23	expression	expression	NOUN
ejge-4329	163	24	of	of	ADP
ejge-4329	163	25	the	the	DET
ejge-4329	163	26	marginal	marginal	ADJ
ejge-4329	163	27	cost	cost	NOUN
ejge-4329	163	28	,	,	PUNCT
ejge-4329	163	29	i.e.	i.e.	X
ejge-4329	163	30	)	)	PUNCT
ejge-4329	163	31	)	)	PUNCT
ejge-4329	163	32	(	(	PUNCT
ejge-4329	163	33	(	(	PUNCT
ejge-4329	163	34	)	)	PUNCT
ejge-4329	163	35	)	)	PUNCT
ejge-4329	163	36	,	,	PUNCT
ejge-4329	163	37	(	(	PUNCT
ejge-4329	163	38	(	(	PUNCT
ejge-4329	163	39	)	)	PUNCT
ejge-4329	163	40	)	)	PUNCT
ejge-4329	163	41	)	)	PUNCT
ejge-4329	163	42	,	,	PUNCT
ejge-4329	163	43	(	(	PUNCT
ejge-4329	163	44	(	(	PUNCT
ejge-4329	163	45	)	)	PUNCT
ejge-4329	163	46	,	,	PUNCT
ejge-4329	163	47	(	(	PUNCT
ejge-4329	163	48	(	(	PUNCT
ejge-4329	163	49	)	)	PUNCT
ejge-4329	163	50	)	)	PUNCT
ejge-4329	163	51	(	(	PUNCT
ejge-4329	163	52	(	(	PUNCT
ejge-4329	163	53	)	)	PUNCT
ejge-4329	163	54	)	)	PUNCT
ejge-4329	163	55	)	)	PUNCT
ejge-4329	163	56	,	,	PUNCT
ejge-4329	163	57	(	(	PUNCT
ejge-4329	163	58	(	(	PUNCT
ejge-4329	163	59	)	)	PUNCT
ejge-4329	163	60	,	,	PUNCT
ejge-4329	163	61	(	(	PUNCT
ejge-4329	163	62	(	(	PUNCT
ejge-4329	163	63	.	.	PUNCT
ejge-4329	164	1	1	1	NUM
ejge-4329	164	2	..	..	SYM
ejge-4329	164	3	2	2	NUM
ejge-4329	164	4	.	.	SYM
ejge-4329	165	1	1	1	NUM
ejge-4329	165	2	.	.	PUNCT
ejge-4329	166	1	tpq	tpq	ADP
ejge-4329	166	2	ztpeztpetpm	ztpeztpetpm	PROPN
ejge-4329	166	3	tpq	tpq	PROPN
ejge-4329	166	4	ztpetpm	ztpetpm	PROPN
ejge-4329	166	5	+	+	CCONJ
ejge-4329	166	6	is	be	AUX
ejge-4329	166	7	a	a	DET
ejge-4329	166	8	function	function	NOUN
ejge-4329	166	9	of	of	ADP
ejge-4329	166	10	price	price	NOUN
ejge-4329	166	11	and	and	CCONJ
ejge-4329	166	12	is	be	AUX
ejge-4329	166	13	the	the	DET
ejge-4329	166	14	same	same	ADJ
ejge-4329	166	15	at	at	ADP
ejge-4329	166	16	the	the	DET
ejge-4329	166	17	previous	previous	ADJ
ejge-4329	166	18	price	price	NOUN
ejge-4329	166	19	.	.	PUNCT
ejge-4329	167	1	this	this	PRON
ejge-4329	167	2	implies	imply	VERB
ejge-4329	167	3	that	that	SCONJ
ejge-4329	167	4	on	on	ADP
ejge-4329	167	5	the	the	DET
ejge-4329	167	6	previous	previous	ADJ
ejge-4329	167	7	price	price	NOUN
ejge-4329	167	8	,	,	PUNCT
ejge-4329	167	9	now	now	ADV
ejge-4329	167	10	the	the	DET
ejge-4329	167	11	middleman	middleman	NOUN
ejge-4329	167	12	faces	face	VERB
ejge-4329	167	13	0	0	NUM
ejge-4329	167	14	.	.	PUNCT
ejge-4329	167	15	<	<	X
ejge-4329	168	1	~	~	PUNCT
ejge-4329	168	2	p	p	SYM
ejge-4329	168	3	h	h	NOUN
ejge-4329	168	4	∂	∂	NOUN
ejge-4329	168	5	∂	∂	NOUN
ejge-4329	168	6	therefore	therefore	ADV
ejge-4329	168	7	,	,	PUNCT
ejge-4329	168	8	in	in	ADP
ejge-4329	168	9	order	order	NOUN
ejge-4329	168	10	to	to	PART
ejge-4329	168	11	satisfy	satisfy	VERB
ejge-4329	168	12	the	the	DET
ejge-4329	168	13	condition	condition	NOUN
ejge-4329	168	14	of	of	ADP
ejge-4329	168	15	dynamic	dynamic	ADJ
ejge-4329	168	16	optimization	optimization	NOUN
ejge-4329	168	17	,	,	PUNCT
ejge-4329	168	18	the	the	DET
ejge-4329	168	19	middleman	middleman	NOUN
ejge-4329	168	20	must	must	AUX
ejge-4329	168	21	decrease	decrease	VERB
ejge-4329	168	22	the	the	DET
ejge-4329	168	23	price	price	NOUN
ejge-4329	168	24	for	for	ADP
ejge-4329	168	25	an	an	DET
ejge-4329	168	26	increase	increase	NOUN
ejge-4329	168	27	in	in	ADP
ejge-4329	168	28	inventory	inventory	NOUN
ejge-4329	168	29	.	.	PUNCT
ejge-4329	169	1	this	this	PRON
ejge-4329	169	2	implies	imply	VERB
ejge-4329	169	3	a	a	DET
ejge-4329	169	4	negative	negative	ADJ
ejge-4329	169	5	relationship	relationship	NOUN
ejge-4329	169	6	between	between	ADP
ejge-4329	169	7	price	price	NOUN
ejge-4329	169	8	and	and	CCONJ
ejge-4329	169	9	inventory	inventory	NOUN
ejge-4329	169	10	.	.	PUNCT
ejge-4329	170	1	the	the	DET
ejge-4329	170	2	concept	concept	NOUN
ejge-4329	170	3	of	of	ADP
ejge-4329	170	4	inventory	inventory	NOUN
ejge-4329	170	5	unifies	unify	VERB
ejge-4329	170	6	the	the	DET
ejge-4329	170	7	market	market	NOUN
ejge-4329	170	8	supply	supply	NOUN
ejge-4329	170	9	and	and	CCONJ
ejge-4329	170	10	demand	demand	NOUN
ejge-4329	170	11	.	.	PUNCT
ejge-4329	171	1	if	if	SCONJ
ejge-4329	171	2	the	the	DET
ejge-4329	171	3	supply	supply	NOUN
ejge-4329	171	4	and	and	CCONJ
ejge-4329	171	5	demand	demand	NOUN
ejge-4329	171	6	rates	rate	NOUN
ejge-4329	171	7	are	be	AUX
ejge-4329	171	8	equal	equal	ADJ
ejge-4329	171	9	,	,	PUNCT
ejge-4329	171	10	the	the	DET
ejge-4329	171	11	market	market	NOUN
ejge-4329	171	12	is	be	AUX
ejge-4329	171	13	in	in	ADP
ejge-4329	171	14	a	a	DET
ejge-4329	171	15	steady	steady	ADJ
ejge-4329	171	16	state	state	NOUN
ejge-4329	171	17	equilibrium	equilibrium	NOUN
ejge-4329	171	18	.	.	PUNCT
ejge-4329	172	1	if	if	SCONJ
ejge-4329	172	2	a	a	DET
ejge-4329	172	3	difference	difference	NOUN
ejge-4329	172	4	of	of	ADP
ejge-4329	172	5	finite	finite	ADJ
ejge-4329	172	6	magnitude	magnitude	NOUN
ejge-4329	172	7	is	be	AUX
ejge-4329	172	8	created	create	VERB
ejge-4329	172	9	between	between	ADP
ejge-4329	172	10	the	the	DET
ejge-4329	172	11	supply	supply	NOUN
ejge-4329	172	12	and	and	CCONJ
ejge-4329	172	13	demand	demand	NOUN
ejge-4329	172	14	rates	rate	NOUN
ejge-4329	172	15	and	and	CCONJ
ejge-4329	172	16	the	the	DET
ejge-4329	172	17	consumer	consumer	NOUN
ejge-4329	172	18	and	and	CCONJ
ejge-4329	172	19	the	the	DET
ejge-4329	172	20	producer	producer	NOUN
ejge-4329	172	21	do	do	AUX
ejge-4329	172	22	not	not	PART
ejge-4329	172	23	react	react	VERB
ejge-4329	172	24	to	to	ADP
ejge-4329	172	25	a	a	DET
ejge-4329	172	26	price	price	NOUN
ejge-4329	172	27	change	change	NOUN
ejge-4329	172	28	induced	induce	VERB
ejge-4329	172	29	by	by	ADP
ejge-4329	172	30	a	a	DET
ejge-4329	172	31	difference	difference	NOUN
ejge-4329	172	32	in	in	ADP
ejge-4329	172	33	the	the	DET
ejge-4329	172	34	supply	supply	NOUN
ejge-4329	172	35	and	and	CCONJ
ejge-4329	172	36	demand	demand	NOUN
ejge-4329	172	37	rates	rate	NOUN
ejge-4329	172	38	,	,	PUNCT
ejge-4329	172	39	the	the	DET
ejge-4329	172	40	price	price	NOUN
ejge-4329	172	41	will	will	AUX
ejge-4329	172	42	continue	continue	VERB
ejge-4329	172	43	changing	change	VERB
ejge-4329	172	44	until	until	SCONJ
ejge-4329	172	45	the	the	DET
ejge-4329	172	46	system	system	NOUN
ejge-4329	172	47	saturates	saturate	VERB
ejge-4329	172	48	.	.	PUNCT
ejge-4329	173	1	this	this	DET
ejge-4329	173	2	behavior	behavior	NOUN
ejge-4329	173	3	can	can	AUX
ejge-4329	173	4	be	be	AUX
ejge-4329	173	5	depicted	depict	VERB
ejge-4329	173	6	by	by	ADP
ejge-4329	173	7	the	the	DET
ejge-4329	173	8	following	follow	VERB
ejge-4329	173	9	formulation	formulation	NOUN
ejge-4329	173	10	:	:	PUNCT
ejge-4329	173	11	inventory.market	inventory.market	NOUN
ejge-4329	173	12	in	in	ADP
ejge-4329	173	13	changechange	changechange	NOUN
ejge-4329	173	14	price	price	NOUN
ejge-4329	173	15	∝	∝	NOUN
ejge-4329	173	16	change	change	NOUN
ejge-4329	173	17	.	.	PUNCT
ejge-4329	174	1	price	price	NOUN
ejge-4329	174	2	=	=	NOUN
ejge-4329	174	3	p	p	NOUN
ejge-4329	174	4	market	market	NOUN
ejge-4329	174	5	,	,	PUNCT
ejge-4329	174	6	in	in	ADP
ejge-4329	174	7	theinventory	theinventory	NOUN
ejge-4329	174	8	in	in	ADP
ejge-4329	174	9	change==	change==	PROPN
ejge-4329	174	10	smmm	smmm	NOUN
ejge-4329	174	11	−	−	PROPN
ejge-4329	174	12	at	at	ADP
ejge-4329	174	13	timeinventory	timeinventory	NOUN
ejge-4329	174	14	=	=	PROPN
ejge-4329	174	15	m	m	PROPN
ejge-4329	174	16	t	t	PROPN
ejge-4329	174	17	,	,	PUNCT
ejge-4329	174	18	state.steady	state.steady	PROPN
ejge-4329	174	19	in	in	ADP
ejge-4329	174	20	inventory	inventory	NOUN
ejge-4329	174	21	=	=	X
ejge-4329	174	22	sm	sm	INTJ
ejge-4329	174	23	,	,	PUNCT
ejge-4329	174	24	=)	=)	PROPN
ejge-4329	174	25	(=	(=	X
ejge-4329	174	26	=	=	NOUN
ejge-4329	174	27	outputinput	outputinput	VERB
ejge-4329	174	28	dt	dt	INTJ
ejge-4329	174	29	dm	dm	INTJ
ejge-4329	174	30	dt	dt	NOUN
ejge-4329	174	31	mmd	mmd	PROPN
ejge-4329	175	1	dt	dt	NOUN
ejge-4329	176	1	dm	dm	PROPN
ejge-4329	176	2	s−	s−	PROPN
ejge-4329	176	3	−	−	PROPN
ejge-4329	176	4	(	(	PUNCT
ejge-4329	176	5	)	)	PUNCT
ejge-4329	176	6	.outputinput	.outputinput	NOUN
ejge-4329	176	7	=	=	SYM
ejge-4329	176	8	or	or	CCONJ
ejge-4329	176	9	dtm	dtm	PROPN
ejge-4329	176	10	−∫	−∫	NOUN
ejge-4329	176	11	(	(	PUNCT
ejge-4329	176	12	)	)	PUNCT
ejge-4329	176	13	or	or	CCONJ
ejge-4329	176	14	,	,	PUNCT
ejge-4329	176	15	rate	rate	NOUN
ejge-4329	176	16	demandratesupply	demandratesupply	NOUN
ejge-4329	176	17	change	change	VERB
ejge-4329	176	18	price	price	NOUN
ejge-4329	176	19	dt−∝	dt−∝	PROPN
ejge-4329	176	20	∫	∫	PROPN
ejge-4329	176	21	(	(	PUNCT
ejge-4329	176	22	)	)	PUNCT
ejge-4329	176	23	,	,	PUNCT
ejge-4329	176	24	rate	rate	NOUN
ejge-4329	176	25	demandratesupply	demandratesupply	NOUN
ejge-4329	176	26	=	=	PUNCT
ejge-4329	176	27	dtkp	dtkp	PROPN
ejge-4329	176	28	m	m	PROPN
ejge-4329	176	29	−−	−−	PROPN
ejge-4329	176	30	∫	∫	PROPN
ejge-4329	176	31	where	where	SCONJ
ejge-4329	176	32	mk	mk	PROPN
ejge-4329	176	33	is	be	AUX
ejge-4329	176	34	the	the	DET
ejge-4329	176	35	proportionality	proportionality	NOUN
ejge-4329	176	36	constant	constant	ADJ
ejge-4329	176	37	;	;	PUNCT
ejge-4329	176	38	supply	supply	NOUN
ejge-4329	176	39	and	and	CCONJ
ejge-4329	176	40	demand	demand	NOUN
ejge-4329	176	41	rate	rate	NOUN
ejge-4329	176	42	is	be	AUX
ejge-4329	176	43	the	the	DET
ejge-4329	176	44	supply	supply	NOUN
ejge-4329	176	45	and	and	CCONJ
ejge-4329	176	46	demand	demand	NOUN
ejge-4329	176	47	per	per	ADP
ejge-4329	176	48	unit	unit	NOUN
ejge-4329	176	49	time	time	NOUN
ejge-4329	176	50	respectively	respectively	ADV
ejge-4329	176	51	.	.	PUNCT
ejge-4329	177	1	a	a	DET
ejge-4329	177	2	negative	negative	ADJ
ejge-4329	177	3	sign	sign	NOUN
ejge-4329	177	4	indicates	indicate	VERB
ejge-4329	177	5	that	that	SCONJ
ejge-4329	177	6	when	when	SCONJ
ejge-4329	177	7	(	(	PUNCT
ejge-4329	177	8	)	)	PUNCT
ejge-4329	177	9	rate	rate	NOUN
ejge-4329	177	10	demandratesupply	demandratesupply	NOUN
ejge-4329	177	11	−	−	PROPN
ejge-4329	177	12	is	be	AUX
ejge-4329	177	13	positive	positive	ADJ
ejge-4329	177	14	,	,	PUNCT
ejge-4329	177	15	then	then	ADV
ejge-4329	177	16	p	p	NOUN
ejge-4329	177	17	is	be	AUX
ejge-4329	177	18	negative	negative	ADJ
ejge-4329	177	19	(	(	PUNCT
ejge-4329	177	20	i.e.	i.e.	X
ejge-4329	177	21	price	price	NOUN
ejge-4329	177	22	decreases	decrease	NOUN
ejge-4329	177	23	)	)	PUNCT
ejge-4329	177	24	.	.	PUNCT
ejge-4329	178	1	the	the	DET
ejge-4329	178	2	above	above	ADJ
ejge-4329	178	3	equation	equation	NOUN
ejge-4329	178	4	can	can	AUX
ejge-4329	178	5	be	be	AUX
ejge-4329	178	6	re	re	VERB
ejge-4329	178	7	-	-	VERB
ejge-4329	178	8	arranged	arranged	ADJ
ejge-4329	178	9	as	as	SCONJ
ejge-4329	178	10	follows	follow	VERB
ejge-4329	178	11	:	:	PUNCT
ejge-4329	178	12	(	(	PUNCT
ejge-4329	178	13	)	)	PUNCT
ejge-4329	178	14	or,=rate	or,=rate	NOUN
ejge-4329	178	15	demandratesupply	demandratesupply	NOUN
ejge-4329	178	16	mk	mk	PROPN
ejge-4329	178	17	pdt	pdt	PROPN
ejge-4329	178	18	−−∫	−−∫	ADP
ejge-4329	178	19	202	202	NUM
ejge-4329	178	20	n.	n.	NOUN
ejge-4329	178	21	nawaz	nawaz	ADJ
ejge-4329	178	22	/	/	SYM
ejge-4329	178	23	european	european	ADJ
ejge-4329	178	24	journal	journal	PROPN
ejge-4329	178	25	of	of	ADP
ejge-4329	178	26	government	government	NOUN
ejge-4329	178	27	and	and	CCONJ
ejge-4329	178	28	economics	economic	NOUN
ejge-4329	178	29	6(2	6(2	NUM
ejge-4329	178	30	)	)	PUNCT
ejge-4329	178	31	,	,	PUNCT
ejge-4329	178	32	191	191	NUM
ejge-4329	178	33	-	-	SYM
ejge-4329	178	34	225	225	NUM
ejge-4329	178	35	(	(	PUNCT
ejge-4329	178	36	)	)	PUNCT
ejge-4329	178	37	,	,	PUNCT
ejge-4329	179	1	=	=	NOUN
ejge-4329	179	2	0	0	NUM
ejge-4329	179	3	m	m	VERB
ejge-4329	179	4	i	i	NOUN
ejge-4329	179	5	k	k	NOUN
ejge-4329	179	6	pdtww	pdtww	NOUN
ejge-4329	179	7	−−∫	−−∫	ADV
ejge-4329	180	1	[	[	X
ejge-4329	180	2	8	8	NUM
ejge-4329	180	3	]	]	PUNCT
ejge-4329	180	4	,	,	PUNCT
ejge-4329	180	5	ratesupply	ratesupply	VERB
ejge-4329	180	6	=	=	VERB
ejge-4329	180	7	iw	iw	ADJ
ejge-4329	180	8	,	,	PUNCT
ejge-4329	180	9	rate	rate	NOUN
ejge-4329	180	10	demand=0w	demand=0w	NOUN
ejge-4329	180	11	=	=	NUM
ejge-4329	180	12	mk	mk	X
ejge-4329	180	13	dimensional	dimensional	ADJ
ejge-4329	180	14	constant	constant	ADJ
ejge-4329	180	15	.	.	PUNCT
ejge-4329	181	1	let	let	VERB
ejge-4329	181	2	at	at	ADP
ejge-4329	181	3	time	time	NOUN
ejge-4329	181	4	0	0	NUM
ejge-4329	182	1	=	=	SYM
ejge-4329	182	2	t	t	X
ejge-4329	182	3	,	,	PUNCT
ejge-4329	182	4	supply	supply	NOUN
ejge-4329	182	5	rate	rate	NOUN
ejge-4329	182	6	=	=	NOUN
ejge-4329	182	7	demand	demand	NOUN
ejge-4329	182	8	rate	rate	NOUN
ejge-4329	182	9	(	(	PUNCT
ejge-4329	182	10	market	market	NOUN
ejge-4329	182	11	is	be	AUX
ejge-4329	182	12	in	in	ADP
ejge-4329	182	13	a	a	DET
ejge-4329	182	14	steady	steady	ADJ
ejge-4329	182	15	state	state	NOUN
ejge-4329	182	16	equilibrium	equilibrium	NOUN
ejge-4329	182	17	)	)	PUNCT
ejge-4329	182	18	,	,	PUNCT
ejge-4329	182	19	then	then	ADV
ejge-4329	182	20	eq	eq	ADP
ejge-4329	182	21	.	.	PUNCT
ejge-4329	183	1	[	[	X
ejge-4329	183	2	8	8	NUM
ejge-4329	183	3	]	]	PUNCT
ejge-4329	183	4	can	can	AUX
ejge-4329	183	5	be	be	AUX
ejge-4329	183	6	written	write	VERB
ejge-4329	183	7	as	as	ADP
ejge-4329	183	8	(	(	PUNCT
ejge-4329	183	9	)	)	PUNCT
ejge-4329	183	10	0.=0	0.=0	NOUN
ejge-4329	183	11	dtww	dtww	NOUN
ejge-4329	183	12	sis	sis	NOUN
ejge-4329	183	13	−∫	−∫	NOUN
ejge-4329	183	14	[	[	X
ejge-4329	183	15	9	9	NUM
ejge-4329	183	16	]	]	X
ejge-4329	183	17	the	the	DET
ejge-4329	183	18	subscript	subscript	NOUN
ejge-4329	183	19	s	s	PART
ejge-4329	183	20	indicates	indicate	VERB
ejge-4329	183	21	the	the	DET
ejge-4329	183	22	steady	steady	ADJ
ejge-4329	183	23	state	state	NOUN
ejge-4329	183	24	equilibrium	equilibrium	NOUN
ejge-4329	183	25	and	and	CCONJ
ejge-4329	183	26	0	0	NUM
ejge-4329	183	27	=	=	NOUN
ejge-4329	183	28	p	p	NOUN
ejge-4329	183	29	in	in	ADP
ejge-4329	183	30	steady	steady	ADJ
ejge-4329	183	31	state	state	NOUN
ejge-4329	183	32	.	.	PUNCT
ejge-4329	184	1	subtracting	subtract	VERB
ejge-4329	184	2	eq	eq	ADP
ejge-4329	184	3	.	.	PUNCT
ejge-4329	185	1	[	[	X
ejge-4329	185	2	9	9	NUM
ejge-4329	185	3	]	]	PUNCT
ejge-4329	185	4	from	from	ADP
ejge-4329	185	5	eq	eq	ADP
ejge-4329	185	6	.	.	PUNCT
ejge-4329	186	1	[	[	X
ejge-4329	186	2	8	8	NUM
ejge-4329	186	3	]	]	PUNCT
ejge-4329	186	4	,	,	PUNCT
ejge-4329	186	5	we	we	PRON
ejge-4329	186	6	obtain	obtain	VERB
ejge-4329	186	7	(	(	PUNCT
ejge-4329	186	8	)	)	PUNCT
ejge-4329	186	9	(	(	PUNCT
ejge-4329	186	10	)	)	PUNCT
ejge-4329	186	11	or,=00	or,=00	PUNCT
ejge-4329	186	12	m	m	PROPN
ejge-4329	186	13	sisi	sisi	PROPN
ejge-4329	186	14	k	k	X
ejge-4329	186	15	pdtwwdtww	pdtwwdtww	PROPN
ejge-4329	186	16	−−−−	−−−−	NOUN
ejge-4329	187	1	∫∫	∫∫	PROPN
ejge-4329	187	2	(	(	PUNCT
ejge-4329	187	3	)	)	PUNCT
ejge-4329	187	4	,	,	PUNCT
ejge-4329	187	5	=	=	NOUN
ejge-4329	187	6	0	0	NUM
ejge-4329	187	7	m	m	VERB
ejge-4329	187	8	i	i	NOUN
ejge-4329	187	9	k	k	NOUN
ejge-4329	187	10	pdtww	pdtww	NOUN
ejge-4329	187	11	−−∫	−−∫	ADP
ejge-4329	188	1	[	[	X
ejge-4329	188	2	10	10	NUM
ejge-4329	188	3	]	]	X
ejge-4329	188	4	rate	rate	NOUN
ejge-4329	188	5	,	,	PUNCT
ejge-4329	188	6	supply	supply	NOUN
ejge-4329	188	7	in	in	ADP
ejge-4329	188	8	change==	change==	NOUN
ejge-4329	188	9	where	where	SCONJ
ejge-4329	188	10	iisi	iisi	ADJ
ejge-4329	188	11	www	www	NOUN
ejge-4329	188	12	−	−	PROPN
ejge-4329	188	13	rate	rate	NOUN
ejge-4329	188	14	.	.	PUNCT
ejge-4329	189	1	demandin	demandin	VERB
ejge-4329	189	2	change==	change==	NOUN
ejge-4329	189	3	000	000	NUM
ejge-4329	189	4	www	www	PROPN
ejge-4329	189	5	s−	s−	PROPN
ejge-4329	189	6	,	,	PUNCT
ejge-4329	189	7	p	p	PROPN
ejge-4329	189	8	iw	iw	PROPN
ejge-4329	189	9	and	and	CCONJ
ejge-4329	189	10	0w	0w	NUM
ejge-4329	189	11	are	be	AUX
ejge-4329	189	12	deviation	deviation	NOUN
ejge-4329	189	13	variables	variable	NOUN
ejge-4329	189	14	,	,	PUNCT
ejge-4329	189	15	which	which	PRON
ejge-4329	189	16	indicate	indicate	VERB
ejge-4329	189	17	deviation	deviation	NOUN
ejge-4329	189	18	from	from	ADP
ejge-4329	189	19	the	the	DET
ejge-4329	189	20	steady	steady	ADJ
ejge-4329	189	21	state	state	NOUN
ejge-4329	189	22	equilibrium	equilibrium	NOUN
ejge-4329	189	23	.	.	PUNCT
ejge-4329	190	1	the	the	DET
ejge-4329	190	2	initial	initial	ADJ
ejge-4329	190	3	values	value	NOUN
ejge-4329	190	4	of	of	ADP
ejge-4329	190	5	the	the	DET
ejge-4329	190	6	deviation	deviation	NOUN
ejge-4329	190	7	variables	variable	NOUN
ejge-4329	190	8	are	be	AUX
ejge-4329	190	9	zero	zero	NUM
ejge-4329	190	10	.	.	PUNCT
ejge-4329	191	1	eq	eq	X
ejge-4329	191	2	.	.	PUNCT
ejge-4329	192	1	(	(	PUNCT
ejge-4329	192	2	10	10	NUM
ejge-4329	192	3	)	)	PUNCT
ejge-4329	192	4	may	may	AUX
ejge-4329	192	5	also	also	ADV
ejge-4329	192	6	be	be	AUX
ejge-4329	192	7	written	write	VERB
ejge-4329	192	8	as	as	SCONJ
ejge-4329	192	9	follows	follow	VERB
ejge-4329	192	10	:	:	PUNCT
ejge-4329	192	11	,	,	PUNCT
ejge-4329	192	12	=	=	SYM
ejge-4329	192	13	=	=	SYM
ejge-4329	192	14	mkwdtkp	mkwdtkp	PROPN
ejge-4329	192	15	mm	mm	PROPN
ejge-4329	192	16	−−	−−	PROPN
ejge-4329	192	17	∫	∫	PROPN
ejge-4329	193	1	[	[	X
ejge-4329	193	2	11	11	NUM
ejge-4329	193	3	]	]	PUNCT
ejge-4329	193	4	where	where	SCONJ
ejge-4329	193	5	.=	.=	VERB
ejge-4329	193	6	0www	0www	NOUN
ejge-4329	194	1	i	i	PRON
ejge-4329	194	2	−	−	VERB
ejge-4329	195	1	if	if	SCONJ
ejge-4329	195	2	p	p	PRON
ejge-4329	195	3	gets	get	VERB
ejge-4329	195	4	a	a	DET
ejge-4329	195	5	jump	jump	NOUN
ejge-4329	195	6	as	as	ADP
ejge-4329	195	7	a	a	DET
ejge-4329	195	8	result	result	NOUN
ejge-4329	195	9	of	of	ADP
ejge-4329	195	10	some	some	DET
ejge-4329	195	11	factor	factor	NOUN
ejge-4329	195	12	other	other	ADJ
ejge-4329	195	13	than	than	ADP
ejge-4329	195	14	an	an	DET
ejge-4329	195	15	inventory	inventory	NOUN
ejge-4329	195	16	change	change	NOUN
ejge-4329	195	17	,	,	PUNCT
ejge-4329	195	18	such	such	ADJ
ejge-4329	195	19	as	as	ADP
ejge-4329	195	20	imposition	imposition	NOUN
ejge-4329	195	21	of	of	ADP
ejge-4329	195	22	a	a	DET
ejge-4329	195	23	tax	tax	NOUN
ejge-4329	195	24	on	on	ADP
ejge-4329	195	25	consumer	consumer	NOUN
ejge-4329	195	26	,	,	PUNCT
ejge-4329	195	27	that	that	PRON
ejge-4329	195	28	is	be	AUX
ejge-4329	195	29	considered	consider	VERB
ejge-4329	195	30	as	as	ADP
ejge-4329	195	31	a	a	DET
ejge-4329	195	32	separate	separate	ADJ
ejge-4329	195	33	input	input	NOUN
ejge-4329	195	34	and	and	CCONJ
ejge-4329	195	35	can	can	AUX
ejge-4329	195	36	be	be	AUX
ejge-4329	195	37	added	add	VERB
ejge-4329	195	38	to	to	ADP
ejge-4329	195	39	eq	eq	PROPN
ejge-4329	195	40	.	.	PUNCT
ejge-4329	196	1	(	(	PUNCT
ejge-4329	196	2	11	11	NUM
ejge-4329	196	3	)	)	PUNCT
ejge-4329	196	4	as	as	SCONJ
ejge-4329	196	5	follows	follow	VERB
ejge-4329	196	6	:	:	PUNCT
ejge-4329	196	7	.==	.==	PROPN
ejge-4329	196	8	jmkjwdtkp	jmkjwdtkp	PROPN
ejge-4329	196	9	mm	mm	PROPN
ejge-4329	197	1	+	+	PROPN
ejge-4329	197	2	−+−	−+−	ADJ
ejge-4329	197	3	∫	∫	X
ejge-4329	198	1	[	[	X
ejge-4329	198	2	11a	11a	NOUN
ejge-4329	198	3	]	]	PUNCT
ejge-4329	198	4	similarly	similarly	ADV
ejge-4329	198	5	,	,	PUNCT
ejge-4329	198	6	there	there	PRON
ejge-4329	198	7	can	can	AUX
ejge-4329	198	8	be	be	AUX
ejge-4329	198	9	an	an	DET
ejge-4329	198	10	exogenous	exogenous	ADJ
ejge-4329	198	11	shock	shock	NOUN
ejge-4329	198	12	in	in	ADP
ejge-4329	198	13	inventory	inventory	NOUN
ejge-4329	198	14	other	other	ADJ
ejge-4329	198	15	than	than	ADP
ejge-4329	198	16	the	the	DET
ejge-4329	198	17	price	price	NOUN
ejge-4329	198	18	feedback	feedback	NOUN
ejge-4329	198	19	.	.	PUNCT
ejge-4329	199	1	203	203	NUM
ejge-4329	199	2	n.	n.	NOUN
ejge-4329	199	3	nawaz	nawaz	PROPN
ejge-4329	199	4	/	/	SYM
ejge-4329	199	5	european	european	ADJ
ejge-4329	199	6	journal	journal	PROPN
ejge-4329	199	7	of	of	ADP
ejge-4329	199	8	government	government	NOUN
ejge-4329	199	9	and	and	CCONJ
ejge-4329	199	10	economics	economic	NOUN
ejge-4329	199	11	6(2	6(2	NUM
ejge-4329	199	12	)	)	PUNCT
ejge-4329	199	13	,	,	PUNCT
ejge-4329	199	14	191	191	NUM
ejge-4329	199	15	-	-	SYM
ejge-4329	199	16	225	225	NUM
ejge-4329	199	17	2.2	2.2	NUM
ejge-4329	199	18	producer	producer	NOUN
ejge-4329	199	19	the	the	DET
ejge-4329	199	20	producer	producer	NOUN
ejge-4329	199	21	maximizes	maximize	VERB
ejge-4329	199	22	the	the	DET
ejge-4329	199	23	present	present	ADJ
ejge-4329	199	24	discounted	discount	VERB
ejge-4329	199	25	value	value	NOUN
ejge-4329	199	26	of	of	ADP
ejge-4329	199	27	the	the	DET
ejge-4329	199	28	future	future	ADJ
ejge-4329	199	29	stream	stream	NOUN
ejge-4329	199	30	of	of	ADP
ejge-4329	199	31	profits	profit	NOUN
ejge-4329	199	32	,	,	PUNCT
ejge-4329	199	33	and	and	CCONJ
ejge-4329	199	34	his	his	PRON
ejge-4329	199	35	present	present	ADJ
ejge-4329	199	36	value	value	NOUN
ejge-4329	199	37	at	at	ADP
ejge-4329	199	38	time	time	NOUN
ejge-4329	199	39	zero	zero	NUM
ejge-4329	199	40	is	be	AUX
ejge-4329	199	41	as	as	SCONJ
ejge-4329	199	42	follows	follow	VERB
ejge-4329	199	43	:	:	PUNCT
ejge-4329	199	44	(	(	PUNCT
ejge-4329	199	45	)	)	PUNCT
ejge-4329	199	46	(	(	PUNCT
ejge-4329	199	47	)	)	PUNCT
ejge-4329	199	48	(	(	PUNCT
ejge-4329	199	49	)	)	PUNCT
ejge-4329	199	50	(	(	PUNCT
ejge-4329	199	51	)	)	PUNCT
ejge-4329	199	52	[	[	PUNCT
ejge-4329	199	53	]	]	X
ejge-4329	199	54	,	,	PUNCT
ejge-4329	199	55	)	)	PUNCT
ejge-4329	199	56	(	(	PUNCT
ejge-4329	199	57	)	)	PUNCT
ejge-4329	199	58	(	(	PUNCT
ejge-4329	199	59	)	)	PUNCT
ejge-4329	199	60	(	(	PUNCT
ejge-4329	199	61	,	,	PUNCT
ejge-4329	199	62	)	)	PUNCT
ejge-4329	199	63	(=	(=	X
ejge-4329	199	64	(	(	PUNCT
ejge-4329	199	65	0	0	NUM
ejge-4329	199	66	)	)	PUNCT
ejge-4329	199	67	0	0	NUM
ejge-4329	199	68	dtetittltwtltkftpv	dtetittltwtltkftpv	NOUN
ejge-4329	199	69	rt−	rt−	NUM
ejge-4329	199	70	∞	∞	PROPN
ejge-4329	199	71	ℜ−−∫	ℜ−−∫	NOUN
ejge-4329	199	72	α	α	PROPN
ejge-4329	200	1	[	[	X
ejge-4329	200	2	12	12	NUM
ejge-4329	200	3	]	]	X
ejge-4329	200	4	α	α	PRON
ejge-4329	200	5	is	be	AUX
ejge-4329	200	6	the	the	DET
ejge-4329	200	7	fraction	fraction	NOUN
ejge-4329	200	8	of	of	ADP
ejge-4329	200	9	the	the	DET
ejge-4329	200	10	market	market	NOUN
ejge-4329	200	11	price	price	NOUN
ejge-4329	200	12	the	the	DET
ejge-4329	200	13	producer	producer	NOUN
ejge-4329	200	14	charges	charge	NOUN
ejge-4329	200	15	to	to	ADP
ejge-4329	200	16	the	the	DET
ejge-4329	200	17	middleman	middleman	NOUN
ejge-4329	200	18	.	.	PUNCT
ejge-4329	201	1	r	r	NOUN
ejge-4329	201	2	denotes	denote	VERB
ejge-4329	201	3	the	the	DET
ejge-4329	201	4	discount	discount	NOUN
ejge-4329	201	5	rate	rate	NOUN
ejge-4329	201	6	.	.	PUNCT
ejge-4329	201	7	)	)	PUNCT
ejge-4329	202	1	(	(	PUNCT
ejge-4329	202	2	tl	tl	PROPN
ejge-4329	202	3	(	(	PUNCT
ejge-4329	202	4	labor	labor	NOUN
ejge-4329	202	5	)	)	PUNCT
ejge-4329	202	6	and	and	CCONJ
ejge-4329	202	7	)	)	PUNCT
ejge-4329	202	8	(	(	PUNCT
ejge-4329	202	9	ti	ti	X
ejge-4329	202	10	(	(	PUNCT
ejge-4329	202	11	level	level	NOUN
ejge-4329	202	12	of	of	ADP
ejge-4329	202	13	investment	investment	NOUN
ejge-4329	202	14	)	)	PUNCT
ejge-4329	202	15	are	be	AUX
ejge-4329	202	16	the	the	DET
ejge-4329	202	17	control	control	NOUN
ejge-4329	202	18	variables	variable	NOUN
ejge-4329	202	19	and	and	CCONJ
ejge-4329	202	20	)	)	PUNCT
ejge-4329	202	21	(	(	PUNCT
ejge-4329	202	22	tk	tk	PROPN
ejge-4329	202	23	the	the	DET
ejge-4329	202	24	state	state	NOUN
ejge-4329	202	25	variable	variable	NOUN
ejge-4329	202	26	.	.	PUNCT
ejge-4329	203	1	the	the	DET
ejge-4329	203	2	maximization	maximization	NOUN
ejge-4329	203	3	problem	problem	NOUN
ejge-4329	203	4	can	can	AUX
ejge-4329	203	5	be	be	AUX
ejge-4329	203	6	written	write	VERB
ejge-4329	203	7	as	as	ADP
ejge-4329	203	8	{	{	PUNCT
ejge-4329	203	9	}	}	PUNCT
ejge-4329	203	10	(	(	PUNCT
ejge-4329	203	11	)	)	PUNCT
ejge-4329	203	12	(	(	PUNCT
ejge-4329	203	13	)	)	PUNCT
ejge-4329	203	14	(	(	PUNCT
ejge-4329	203	15	)	)	PUNCT
ejge-4329	203	16	(	(	PUNCT
ejge-4329	203	17	)	)	PUNCT
ejge-4329	203	18	[	[	PUNCT
ejge-4329	203	19	]	]	X
ejge-4329	203	20	,	,	PUNCT
ejge-4329	203	21	)	)	PUNCT
ejge-4329	203	22	(	(	PUNCT
ejge-4329	203	23	)	)	PUNCT
ejge-4329	203	24	(	(	PUNCT
ejge-4329	203	25	)	)	PUNCT
ejge-4329	203	26	(	(	PUNCT
ejge-4329	203	27	,	,	PUNCT
ejge-4329	203	28	)	)	PUNCT
ejge-4329	203	29	(=	(=	X
ejge-4329	203	30	(	(	PUNCT
ejge-4329	203	31	0	0	NUM
ejge-4329	203	32	)	)	PUNCT
ejge-4329	203	33	0	0	NUM
ejge-4329	203	34	)	)	PUNCT
ejge-4329	203	35	(	(	PUNCT
ejge-4329	203	36	)	)	PUNCT
ejge-4329	203	37	,	,	PUNCT
ejge-4329	203	38	(	(	PUNCT
ejge-4329	203	39	dtetittltwtltkftpvmax	dtetittltwtltkftpvmax	PROPN
ejge-4329	203	40	rt	rt	PROPN
ejge-4329	203	41	titl	titl	PROPN
ejge-4329	203	42	−	−	PROPN
ejge-4329	204	1	∞	∞	NUM
ejge-4329	204	2	ℜ−−∫	ℜ−−∫	PROPN
ejge-4329	204	3	α	α	NOUN
ejge-4329	204	4	subject	subject	NOUN
ejge-4329	204	5	to	to	ADP
ejge-4329	204	6	)	)	PUNCT
ejge-4329	204	7	(	(	PUNCT
ejge-4329	204	8	)	)	PUNCT
ejge-4329	204	9	(=	(=	X
ejge-4329	204	10	)	)	PUNCT
ejge-4329	204	11	(	(	PUNCT
ejge-4329	204	12	.	.	PUNCT
ejge-4329	205	1	tktitk	tktitk	ADP
ejge-4329	205	2	δ−	δ−	PROPN
ejge-4329	205	3	(	(	PUNCT
ejge-4329	205	4	state	state	NOUN
ejge-4329	205	5	equation	equation	NOUN
ejge-4329	205	6	,	,	PUNCT
ejge-4329	205	7	describing	describe	VERB
ejge-4329	205	8	how	how	SCONJ
ejge-4329	205	9	the	the	DET
ejge-4329	205	10	state	state	NOUN
ejge-4329	205	11	variable	variable	ADJ
ejge-4329	205	12	changes	change	NOUN
ejge-4329	205	13	with	with	ADP
ejge-4329	205	14	time	time	NOUN
ejge-4329	205	15	)	)	PUNCT
ejge-4329	205	16	,	,	PUNCT
ejge-4329	205	17	0=(0	0=(0	NUM
ejge-4329	205	18	)	)	PUNCT
ejge-4329	205	19	kk	kk	NOUN
ejge-4329	205	20	(	(	PUNCT
ejge-4329	205	21	initial	initial	ADJ
ejge-4329	205	22	condition	condition	NOUN
ejge-4329	205	23	)	)	PUNCT
ejge-4329	205	24	,	,	PUNCT
ejge-4329	205	25	0	0	NUM
ejge-4329	205	26	)	)	PUNCT
ejge-4329	205	27	(	(	PUNCT
ejge-4329	205	28	≥tk	≥tk	X
ejge-4329	205	29	(	(	PUNCT
ejge-4329	205	30	non	non	ADJ
ejge-4329	205	31	-	-	ADJ
ejge-4329	205	32	negativity	negativity	ADJ
ejge-4329	205	33	constraint	constraint	NOUN
ejge-4329	205	34	on	on	ADP
ejge-4329	205	35	state	state	NOUN
ejge-4329	205	36	variable	variable	NOUN
ejge-4329	205	37	)	)	PUNCT
ejge-4329	205	38	,	,	PUNCT
ejge-4329	205	39	)	)	PUNCT
ejge-4329	205	40	(	(	PUNCT
ejge-4329	205	41	∞k	∞k	X
ejge-4329	205	42	free	free	ADJ
ejge-4329	205	43	(	(	PUNCT
ejge-4329	205	44	terminal	terminal	ADJ
ejge-4329	205	45	condition	condition	NOUN
ejge-4329	205	46	)	)	PUNCT
ejge-4329	205	47	.	.	PUNCT
ejge-4329	206	1	the	the	DET
ejge-4329	206	2	current	current	ADJ
ejge-4329	206	3	-	-	PUNCT
ejge-4329	206	4	value	value	NOUN
ejge-4329	206	5	hamiltonian	hamiltonian	NOUN
ejge-4329	206	6	for	for	ADP
ejge-4329	206	7	this	this	DET
ejge-4329	206	8	case	case	NOUN
ejge-4329	206	9	is	be	AUX
ejge-4329	206	10	(	(	PUNCT
ejge-4329	206	11	)	)	PUNCT
ejge-4329	206	12	(	(	PUNCT
ejge-4329	206	13	)	)	PUNCT
ejge-4329	206	14	(	(	PUNCT
ejge-4329	206	15	)	)	PUNCT
ejge-4329	206	16	(	(	PUNCT
ejge-4329	206	17	)	)	PUNCT
ejge-4329	206	18	[	[	PUNCT
ejge-4329	206	19	]	]	X
ejge-4329	206	20	.)()()()()()(,)(=~	.)()()()()()(,)(=~	NUM
ejge-4329	206	21	tktittittltwtltkftph	tktittittltwtltkftph	NOUN
ejge-4329	206	22	δµα	δµα	VERB
ejge-4329	206	23	−+ℜ−−	−+ℜ−−	NOUN
ejge-4329	207	1	[	[	X
ejge-4329	207	2	13	13	NUM
ejge-4329	207	3	]	]	PUNCT
ejge-4329	207	4	now	now	ADV
ejge-4329	207	5	the	the	DET
ejge-4329	207	6	maximizing	maximize	VERB
ejge-4329	207	7	conditions	condition	NOUN
ejge-4329	207	8	are	be	AUX
ejge-4329	207	9	as	as	SCONJ
ejge-4329	207	10	follows	follow	VERB
ejge-4329	207	11	:	:	PUNCT
ejge-4329	207	12	)	)	PUNCT
ejge-4329	207	13	(	(	PUNCT
ejge-4329	207	14	i	i	NOUN
ejge-4329	207	15	)	)	PUNCT
ejge-4329	207	16	(	(	PUNCT
ejge-4329	207	17	tl∗	tl∗	NOUN
ejge-4329	207	18	and	and	CCONJ
ejge-4329	207	19	)	)	PUNCT
ejge-4329	207	20	(	(	PUNCT
ejge-4329	207	21	ti	ti	NOUN
ejge-4329	207	22	∗	∗	NOUN
ejge-4329	207	23	maximize	maximize	VERB
ejge-4329	207	24	h~	h~	PROPN
ejge-4329	207	25	for	for	ADP
ejge-4329	207	26	all	all	DET
ejge-4329	207	27	t	t	NOUN
ejge-4329	207	28	:	:	PUNCT
ejge-4329	207	29	0=	0=	NUM
ejge-4329	208	1	~	~	PUNCT
ejge-4329	208	2	l	l	NOUN
ejge-4329	208	3	h	h	NOUN
ejge-4329	208	4	∂	∂	NOUN
ejge-4329	208	5	∂	∂	NUM
ejge-4329	208	6	and	and	CCONJ
ejge-4329	208	7	0,=	0,=	NUM
ejge-4329	209	1	~	~	PUNCT
ejge-4329	209	2	i	i	PRON
ejge-4329	209	3	h	h	NOUN
ejge-4329	209	4	∂	∂	NOUN
ejge-4329	209	5	∂	∂	NUM
ejge-4329	209	6	)	)	PUNCT
ejge-4329	209	7	(	(	PUNCT
ejge-4329	209	8	ii	ii	NOUN
ejge-4329	209	9	,	,	PUNCT
ejge-4329	209	10	~	~	PUNCT
ejge-4329	209	11	=	=	PUNCT
ejge-4329	209	12	.	.	PUNCT
ejge-4329	210	1	k	k	PROPN
ejge-4329	210	2	hr	hr	PROPN
ejge-4329	210	3	∂	∂	NOUN
ejge-4329	210	4	∂	∂	NUM
ejge-4329	210	5	−−	−−	NOUN
ejge-4329	210	6	µµ	µµ	NOUN
ejge-4329	210	7	)	)	PUNCT
ejge-4329	210	8	(	(	PUNCT
ejge-4329	210	9	iii	iii	X
ejge-4329	210	10	µ∂	µ∂	NOUN
ejge-4329	210	11	∂∗	∂∗	VERB
ejge-4329	210	12	hk	hk	PROPN
ejge-4329	210	13	~	~	PUNCT
ejge-4329	210	14	=	=	PUNCT
ejge-4329	210	15	.	.	PUNCT
ejge-4329	211	1	(	(	PUNCT
ejge-4329	211	2	this	this	PRON
ejge-4329	211	3	just	just	ADV
ejge-4329	211	4	gives	give	VERB
ejge-4329	211	5	back	back	ADP
ejge-4329	211	6	the	the	DET
ejge-4329	211	7	state	state	NOUN
ejge-4329	211	8	equation	equation	NOUN
ejge-4329	211	9	)	)	PUNCT
ejge-4329	211	10	,	,	PUNCT
ejge-4329	211	11	)	)	PUNCT
ejge-4329	211	12	(	(	PUNCT
ejge-4329	211	13	iv	iv	NUM
ejge-4329	211	14	0=)()(lim	0=)()(lim	NUM
ejge-4329	211	15	rt	rt	PROPN
ejge-4329	211	16	t	t	PROPN
ejge-4329	211	17	etkt	etkt	VERB
ejge-4329	211	18	−	−	PROPN
ejge-4329	211	19	∞→	∞→	ADJ
ejge-4329	211	20	µ	µ	X
ejge-4329	211	21	(	(	PUNCT
ejge-4329	211	22	the	the	DET
ejge-4329	211	23	transversality	transversality	NOUN
ejge-4329	211	24	condition	condition	NOUN
ejge-4329	211	25	)	)	PUNCT
ejge-4329	211	26	.	.	PUNCT
ejge-4329	212	1	the	the	DET
ejge-4329	212	2	first	first	ADJ
ejge-4329	212	3	two	two	NUM
ejge-4329	212	4	conditions	condition	NOUN
ejge-4329	212	5	are	be	AUX
ejge-4329	212	6	as	as	SCONJ
ejge-4329	212	7	follows	follow	VERB
ejge-4329	212	8	:	:	PUNCT
ejge-4329	212	9	204	204	NUM
ejge-4329	212	10	n.	n.	NOUN
ejge-4329	212	11	nawaz	nawaz	ADJ
ejge-4329	212	12	/	/	SYM
ejge-4329	212	13	european	european	ADJ
ejge-4329	212	14	journal	journal	PROPN
ejge-4329	212	15	of	of	ADP
ejge-4329	212	16	government	government	NOUN
ejge-4329	212	17	and	and	CCONJ
ejge-4329	212	18	economics	economic	NOUN
ejge-4329	212	19	6(2	6(2	NUM
ejge-4329	212	20	)	)	PUNCT
ejge-4329	212	21	,	,	PUNCT
ejge-4329	212	22	191	191	NUM
ejge-4329	212	23	-	-	SYM
ejge-4329	212	24	225	225	NUM
ejge-4329	212	25	0,=	0,=	NUM
ejge-4329	212	26	~	~	PUNCT
ejge-4329	212	27	l	l	NOUN
ejge-4329	212	28	h	h	PROPN
ejge-4329	212	29	∂	∂	NOUN
ejge-4329	212	30	∂	∂	NOUN
ejge-4329	213	1	[	[	X
ejge-4329	213	2	14	14	NUM
ejge-4329	213	3	]	]	PUNCT
ejge-4329	213	4	0,=	0,=	NUM
ejge-4329	214	1	~	~	PUNCT
ejge-4329	214	2	i	i	PRON
ejge-4329	214	3	h	h	NOUN
ejge-4329	214	4	∂	∂	NOUN
ejge-4329	214	5	∂	∂	NOUN
ejge-4329	214	6	[	[	X
ejge-4329	214	7	15	15	NUM
ejge-4329	214	8	]	]	PUNCT
ejge-4329	214	9	and	and	CCONJ
ejge-4329	214	10	.	.	PUNCT
ejge-4329	215	1	~	~	PUNCT
ejge-4329	215	2	=	=	PUNCT
ejge-4329	215	3	.	.	PUNCT
ejge-4329	216	1	k	k	PROPN
ejge-4329	216	2	hr	hr	PROPN
ejge-4329	216	3	∂	∂	NOUN
ejge-4329	216	4	∂	∂	NOUN
ejge-4329	216	5	−−	−−	NOUN
ejge-4329	216	6	µµ	µµ	ADP
ejge-4329	217	1	[	[	X
ejge-4329	217	2	16	16	NUM
ejge-4329	217	3	]	]	PUNCT
ejge-4329	217	4	in	in	ADP
ejge-4329	217	5	order	order	NOUN
ejge-4329	217	6	to	to	PART
ejge-4329	217	7	satisfy	satisfy	VERB
ejge-4329	217	8	the	the	DET
ejge-4329	217	9	condition	condition	NOUN
ejge-4329	217	10	of	of	ADP
ejge-4329	217	11	dynamic	dynamic	ADJ
ejge-4329	217	12	optimization	optimization	NOUN
ejge-4329	217	13	after	after	ADP
ejge-4329	217	14	the	the	DET
ejge-4329	217	15	price	price	NOUN
ejge-4329	217	16	increase	increase	NOUN
ejge-4329	217	17	,	,	PUNCT
ejge-4329	217	18	the	the	DET
ejge-4329	217	19	producer	producer	NOUN
ejge-4329	217	20	must	must	AUX
ejge-4329	217	21	increase	increase	VERB
ejge-4329	217	22	the	the	DET
ejge-4329	217	23	production	production	NOUN
ejge-4329	217	24	level	level	NOUN
ejge-4329	217	25	(	(	PUNCT
ejge-4329	217	26	see	see	VERB
ejge-4329	217	27	appendix	appendix	NOUN
ejge-4329	217	28	)	)	PUNCT
ejge-4329	217	29	.	.	PUNCT
ejge-4329	218	1	let	let	VERB
ejge-4329	218	2	p	p	NOUN
ejge-4329	218	3	=	=	NOUN
ejge-4329	218	4	market	market	NOUN
ejge-4329	218	5	price	price	NOUN
ejge-4329	218	6	,	,	PUNCT
ejge-4329	218	7	c	c	NOUN
ejge-4329	218	8	=	=	PUNCT
ejge-4329	218	9	a	a	DET
ejge-4329	218	10	reference	reference	NOUN
ejge-4329	218	11	price	price	NOUN
ejge-4329	218	12	(	(	PUNCT
ejge-4329	218	13	such	such	ADJ
ejge-4329	218	14	as	as	ADP
ejge-4329	218	15	the	the	DET
ejge-4329	218	16	retail	retail	ADJ
ejge-4329	218	17	price	price	NOUN
ejge-4329	218	18	which	which	PRON
ejge-4329	218	19	includes	include	VERB
ejge-4329	218	20	the	the	DET
ejge-4329	218	21	production	production	NOUN
ejge-4329	218	22	cost	cost	NOUN
ejge-4329	218	23	,	,	PUNCT
ejge-4329	218	24	profit	profit	NOUN
ejge-4329	218	25	of	of	ADP
ejge-4329	218	26	producer	producer	NOUN
ejge-4329	218	27	and	and	CCONJ
ejge-4329	218	28	profit	profit	NOUN
ejge-4329	218	29	of	of	ADP
ejge-4329	218	30	the	the	DET
ejge-4329	218	31	middleman	middleman	NOUN
ejge-4329	218	32	)	)	PUNCT
ejge-4329	218	33	.	.	PUNCT
ejge-4329	219	1	c	c	PROPN
ejge-4329	219	2	is	be	AUX
ejge-4329	219	3	a	a	DET
ejge-4329	219	4	parameter	parameter	NOUN
ejge-4329	219	5	which	which	PRON
ejge-4329	219	6	may	may	AUX
ejge-4329	219	7	vary	vary	VERB
ejge-4329	219	8	with	with	ADP
ejge-4329	219	9	time	time	NOUN
ejge-4329	219	10	or	or	CCONJ
ejge-4329	219	11	be	be	AUX
ejge-4329	219	12	kept	keep	VERB
ejge-4329	219	13	fixed	fix	VERB
ejge-4329	219	14	for	for	ADP
ejge-4329	219	15	a	a	DET
ejge-4329	219	16	limited	limited	ADJ
ejge-4329	219	17	time	time	NOUN
ejge-4329	219	18	period	period	NOUN
ejge-4329	219	19	,	,	PUNCT
ejge-4329	219	20	e.g.	e.g.	ADV
ejge-4329	219	21	the	the	DET
ejge-4329	219	22	cost	cost	NOUN
ejge-4329	219	23	of	of	ADP
ejge-4329	219	24	a	a	DET
ejge-4329	219	25	product	product	NOUN
ejge-4329	219	26	may	may	AUX
ejge-4329	219	27	vary	vary	VERB
ejge-4329	219	28	over	over	ADP
ejge-4329	219	29	time	time	NOUN
ejge-4329	219	30	or	or	CCONJ
ejge-4329	219	31	can	can	AUX
ejge-4329	219	32	also	also	ADV
ejge-4329	219	33	remain	remain	VERB
ejge-4329	219	34	constant	constant	ADJ
ejge-4329	219	35	for	for	ADP
ejge-4329	219	36	a	a	DET
ejge-4329	219	37	while	while	NOUN
ejge-4329	219	38	.	.	PUNCT
ejge-4329	220	1	it	it	PRON
ejge-4329	220	2	is	be	AUX
ejge-4329	220	3	the	the	DET
ejge-4329	220	4	reference	reference	NOUN
ejge-4329	220	5	point	point	NOUN
ejge-4329	220	6	with	with	ADP
ejge-4329	220	7	respect	respect	NOUN
ejge-4329	220	8	to	to	ADP
ejge-4329	220	9	which	which	PRON
ejge-4329	220	10	the	the	DET
ejge-4329	220	11	variation	variation	NOUN
ejge-4329	220	12	in	in	ADP
ejge-4329	220	13	p	p	PROPN
ejge-4329	220	14	is	be	AUX
ejge-4329	220	15	considered	consider	VERB
ejge-4329	220	16	by	by	ADP
ejge-4329	220	17	the	the	DET
ejge-4329	220	18	producer	producer	NOUN
ejge-4329	220	19	for	for	ADP
ejge-4329	220	20	decision	decision	NOUN
ejge-4329	220	21	making	making	NOUN
ejge-4329	220	22	.	.	PUNCT
ejge-4329	221	1	price	price	NOUN
ejge-4329	221	2	,	,	PUNCT
ejge-4329	221	3	in	in	ADP
ejge-4329	221	4	change	change	NOUN
ejge-4329	221	5	todue	todue	ADJ
ejge-4329	221	6	productionin	productionin	NOUN
ejge-4329	221	7	change	change	NOUN
ejge-4329	221	8	=	=	NOUN
ejge-4329	221	9	mw	mw	NOUN
ejge-4329	221	10	)	)	PUNCT
ejge-4329	221	11	(	(	PUNCT
ejge-4329	221	12	cp	cp	X
ejge-4329	221	13	−	−	PROPN
ejge-4329	221	14	acts	act	VERB
ejge-4329	221	15	as	as	ADP
ejge-4329	221	16	an	an	DET
ejge-4329	221	17	incentive	incentive	NOUN
ejge-4329	221	18	for	for	SCONJ
ejge-4329	221	19	the	the	DET
ejge-4329	221	20	producer	producer	NOUN
ejge-4329	221	21	to	to	PART
ejge-4329	221	22	produce	produce	VERB
ejge-4329	221	23	more	more	ADJ
ejge-4329	221	24	.	.	PUNCT
ejge-4329	222	1	therefore	therefore	ADV
ejge-4329	222	2	,	,	PUNCT
ejge-4329	222	3	or	or	CCONJ
ejge-4329	222	4	)	)	PUNCT
ejge-4329	222	5	,	,	PUNCT
ejge-4329	222	6	(	(	PUNCT
ejge-4329	222	7	cpwm	cpwm	VERB
ejge-4329	222	8	−∝α	−∝α	NUM
ejge-4329	222	9	)	)	PUNCT
ejge-4329	223	1	.(=	.(=	PRON
ejge-4329	223	2	cpkw	cpkw	VERB
ejge-4329	224	1	sm	sm	INTJ
ejge-4329	224	2	−	−	PROPN
ejge-4329	225	1	[	[	X
ejge-4329	225	2	17	17	NUM
ejge-4329	225	3	]	]	PUNCT
ejge-4329	225	4	when	when	SCONJ
ejge-4329	225	5	the	the	DET
ejge-4329	225	6	market	market	NOUN
ejge-4329	225	7	is	be	AUX
ejge-4329	225	8	in	in	ADP
ejge-4329	225	9	equilibrium	equilibrium	NOUN
ejge-4329	225	10	,	,	PUNCT
ejge-4329	225	11	then	then	ADV
ejge-4329	225	12	0,=mw	0,=mw	NOUN
ejge-4329	225	13	or	or	CCONJ
ejge-4329	225	14	)	)	PUNCT
ejge-4329	225	15	.(=0	.(=0	PROPN
ejge-4329	225	16	sss	sss	PROPN
ejge-4329	225	17	cpk	cpk	PROPN
ejge-4329	226	1	−	−	PROPN
ejge-4329	227	1	[	[	X
ejge-4329	227	2	18	18	NUM
ejge-4329	227	3	]	]	X
ejge-4329	227	4	sk	sk	X
ejge-4329	227	5	is	be	AUX
ejge-4329	227	6	the	the	DET
ejge-4329	227	7	proportionality	proportionality	NOUN
ejge-4329	227	8	constant	constant	ADJ
ejge-4329	227	9	.	.	PUNCT
ejge-4329	228	1	sp	sp	ADP
ejge-4329	228	2	and	and	CCONJ
ejge-4329	228	3	sc	sc	PROPN
ejge-4329	228	4	are	be	AUX
ejge-4329	228	5	the	the	DET
ejge-4329	228	6	steady	steady	ADJ
ejge-4329	228	7	state	state	NOUN
ejge-4329	228	8	equilibrium	equilibrium	NOUN
ejge-4329	228	9	values	value	NOUN
ejge-4329	228	10	.	.	PUNCT
ejge-4329	229	1	subtracting	subtract	VERB
ejge-4329	229	2	eq	eq	ADP
ejge-4329	229	3	.	.	PUNCT
ejge-4329	230	1	[	[	X
ejge-4329	230	2	18	18	NUM
ejge-4329	230	3	]	]	PUNCT
ejge-4329	230	4	from	from	ADP
ejge-4329	230	5	eq	eq	ADP
ejge-4329	230	6	.	.	PUNCT
ejge-4329	231	1	[	[	X
ejge-4329	231	2	17	17	NUM
ejge-4329	231	3	]	]	PUNCT
ejge-4329	231	4	,	,	PUNCT
ejge-4329	231	5	(	(	PUNCT
ejge-4329	231	6	)	)	PUNCT
ejge-4329	231	7	(	(	PUNCT
ejge-4329	231	8	)	)	PUNCT
ejge-4329	231	9	[	[	PUNCT
ejge-4329	231	10	]	]	X
ejge-4329	231	11	(	(	PUNCT
ejge-4329	231	12	)	)	PUNCT
ejge-4329	231	13	,	,	PUNCT
ejge-4329	231	14	=	=	SYM
ejge-4329	231	15	=	=	SYM
ejge-4329	231	16	=	=	SYM
ejge-4329	231	17	εsssssm	εsssssm	NOUN
ejge-4329	231	18	kpckccppkw	kpckccppkw	NOUN
ejge-4329	231	19	−−−−−−	−−−−−−	X
ejge-4329	232	1	[	[	X
ejge-4329	232	2	19	19	NUM
ejge-4329	232	3	]	]	PUNCT
ejge-4329	232	4	where	where	SCONJ
ejge-4329	232	5	mw	mw	X
ejge-4329	232	6	,	,	PUNCT
ejge-4329	232	7	c	c	PROPN
ejge-4329	232	8	and	and	CCONJ
ejge-4329	232	9	p	p	NOUN
ejge-4329	232	10	are	be	AUX
ejge-4329	232	11	deviation	deviation	NOUN
ejge-4329	232	12	variables	variable	NOUN
ejge-4329	232	13	.	.	PUNCT
ejge-4329	233	1	205	205	NUM
ejge-4329	233	2	n.	n.	NOUN
ejge-4329	233	3	nawaz	nawaz	ADJ
ejge-4329	233	4	/	/	SYM
ejge-4329	233	5	european	european	ADJ
ejge-4329	233	6	journal	journal	PROPN
ejge-4329	233	7	of	of	ADP
ejge-4329	233	8	government	government	NOUN
ejge-4329	233	9	and	and	CCONJ
ejge-4329	233	10	economics	economic	NOUN
ejge-4329	233	11	6(2	6(2	NUM
ejge-4329	233	12	)	)	PUNCT
ejge-4329	233	13	,	,	PUNCT
ejge-4329	233	14	191	191	NUM
ejge-4329	233	15	-	-	SYM
ejge-4329	233	16	225	225	NUM
ejge-4329	233	17	2.3	2.3	NUM
ejge-4329	233	18	consumer	consumer	NOUN
ejge-4329	233	19	the	the	DET
ejge-4329	233	20	consumer	consumer	NOUN
ejge-4329	233	21	maximizes	maximize	VERB
ejge-4329	233	22	the	the	DET
ejge-4329	233	23	present	present	ADJ
ejge-4329	233	24	discounted	discount	VERB
ejge-4329	233	25	value	value	NOUN
ejge-4329	233	26	of	of	ADP
ejge-4329	233	27	the	the	DET
ejge-4329	233	28	future	future	ADJ
ejge-4329	233	29	stream	stream	NOUN
ejge-4329	233	30	of	of	ADP
ejge-4329	233	31	utilities	utility	NOUN
ejge-4329	233	32	,	,	PUNCT
ejge-4329	233	33	and	and	CCONJ
ejge-4329	233	34	his	his	PRON
ejge-4329	233	35	present	present	ADJ
ejge-4329	233	36	value	value	NOUN
ejge-4329	233	37	at	at	ADP
ejge-4329	233	38	time	time	NOUN
ejge-4329	233	39	zero	zero	NUM
ejge-4329	233	40	is	be	AUX
ejge-4329	233	41	as	as	SCONJ
ejge-4329	233	42	follows	follow	VERB
ejge-4329	233	43	:	:	PUNCT
ejge-4329	233	44	,	,	PUNCT
ejge-4329	233	45	)	)	PUNCT
ejge-4329	233	46	)	)	PUNCT
ejge-4329	234	1	(	(	PUNCT
ejge-4329	234	2	(=	(=	X
ejge-4329	234	3	(	(	PUNCT
ejge-4329	234	4	0	0	NUM
ejge-4329	234	5	)	)	PUNCT
ejge-4329	234	6	0	0	NUM
ejge-4329	234	7	dtetxuv	dtetxuv	VERB
ejge-4329	234	8	tρ−	tρ−	PUNCT
ejge-4329	234	9	∞	∞	NUM
ejge-4329	234	10	∫	∫	PROPN
ejge-4329	235	1	[	[	X
ejge-4329	235	2	20	20	NUM
ejge-4329	235	3	]	]	PUNCT
ejge-4329	235	4	where	where	SCONJ
ejge-4329	235	5	ρ	ρ	PROPN
ejge-4329	235	6	denotes	denote	VERB
ejge-4329	235	7	the	the	DET
ejge-4329	235	8	discount	discount	NOUN
ejge-4329	235	9	rate	rate	NOUN
ejge-4329	235	10	and	and	CCONJ
ejge-4329	235	11	)	)	PUNCT
ejge-4329	235	12	(	(	PUNCT
ejge-4329	235	13	tx	tx	PROPN
ejge-4329	235	14	is	be	AUX
ejge-4329	235	15	the	the	DET
ejge-4329	235	16	control	control	NOUN
ejge-4329	235	17	variable	variable	NOUN
ejge-4329	235	18	.	.	PUNCT
ejge-4329	236	1	the	the	DET
ejge-4329	236	2	maximization	maximization	NOUN
ejge-4329	236	3	problem	problem	NOUN
ejge-4329	236	4	can	can	AUX
ejge-4329	236	5	be	be	AUX
ejge-4329	236	6	written	write	VERB
ejge-4329	236	7	as	as	ADP
ejge-4329	236	8	{	{	PUNCT
ejge-4329	236	9	}	}	PUNCT
ejge-4329	236	10	,	,	PUNCT
ejge-4329	236	11	)	)	PUNCT
ejge-4329	236	12	)	)	PUNCT
ejge-4329	237	1	(	(	PUNCT
ejge-4329	237	2	(=	(=	X
ejge-4329	237	3	(	(	PUNCT
ejge-4329	237	4	0	0	NUM
ejge-4329	237	5	)	)	PUNCT
ejge-4329	237	6	0	0	NUM
ejge-4329	237	7	)	)	PUNCT
ejge-4329	237	8	(	(	PUNCT
ejge-4329	237	9	dtetxuvmax	dtetxuvmax	PROPN
ejge-4329	237	10	t	t	PROPN
ejge-4329	237	11	tx	tx	PROPN
ejge-4329	237	12	ρ−	ρ−	PROPN
ejge-4329	237	13	∞	∞	PROPN
ejge-4329	237	14	∫	∫	PROPN
ejge-4329	237	15	subject	subject	NOUN
ejge-4329	237	16	to	to	ADP
ejge-4329	237	17	)	)	PUNCT
ejge-4329	237	18	(	(	PUNCT
ejge-4329	237	19	)	)	PUNCT
ejge-4329	237	20	(	(	PUNCT
ejge-4329	237	21	)	)	PUNCT
ejge-4329	237	22	(	(	PUNCT
ejge-4329	237	23	)	)	PUNCT
ejge-4329	237	24	(	(	PUNCT
ejge-4329	237	25	)	)	PUNCT
ejge-4329	237	26	(=	(=	X
ejge-4329	237	27	)	)	PUNCT
ejge-4329	237	28	(	(	PUNCT
ejge-4329	237	29	.	.	PUNCT
ejge-4329	237	30	txtptwtatrta	txtptwtatrta	PROPN
ejge-4329	237	31	−+	−+	PROPN
ejge-4329	237	32	(	(	PUNCT
ejge-4329	237	33	state	state	NOUN
ejge-4329	237	34	equation	equation	NOUN
ejge-4329	237	35	,	,	PUNCT
ejge-4329	237	36	describing	describe	VERB
ejge-4329	237	37	how	how	SCONJ
ejge-4329	237	38	the	the	DET
ejge-4329	237	39	state	state	NOUN
ejge-4329	237	40	variable	variable	ADJ
ejge-4329	237	41	changes	change	NOUN
ejge-4329	237	42	with	with	ADP
ejge-4329	237	43	time	time	NOUN
ejge-4329	237	44	)	)	PUNCT
ejge-4329	237	45	.	.	PUNCT
ejge-4329	237	46	)	)	PUNCT
ejge-4329	238	1	(	(	PUNCT
ejge-4329	238	2	ta	ta	X
ejge-4329	238	3	is	be	AUX
ejge-4329	238	4	asset	asset	NOUN
ejge-4329	238	5	holdings	holding	NOUN
ejge-4329	238	6	(	(	PUNCT
ejge-4329	238	7	a	a	DET
ejge-4329	238	8	state	state	NOUN
ejge-4329	238	9	variable	variable	NOUN
ejge-4329	238	10	)	)	PUNCT
ejge-4329	238	11	and	and	CCONJ
ejge-4329	238	12	)	)	PUNCT
ejge-4329	238	13	(	(	PUNCT
ejge-4329	238	14	tw	tw	NOUN
ejge-4329	238	15	and	and	CCONJ
ejge-4329	238	16	)	)	PUNCT
ejge-4329	238	17	(	(	PUNCT
ejge-4329	238	18	tr	tr	VERB
ejge-4329	238	19	are	be	AUX
ejge-4329	238	20	exogenous	exogenous	ADJ
ejge-4329	238	21	time	time	NOUN
ejge-4329	238	22	path	path	NOUN
ejge-4329	238	23	of	of	ADP
ejge-4329	238	24	wages	wage	NOUN
ejge-4329	238	25	and	and	CCONJ
ejge-4329	238	26	return	return	VERB
ejge-4329	238	27	on	on	ADP
ejge-4329	238	28	assets	asset	NOUN
ejge-4329	238	29	.	.	PUNCT
ejge-4329	239	1	saa	saa	PROPN
ejge-4329	239	2	=(	=(	PROPN
ejge-4329	239	3	0	0	NUM
ejge-4329	239	4	)	)	PUNCT
ejge-4329	239	5	(	(	PUNCT
ejge-4329	239	6	initial	initial	ADJ
ejge-4329	239	7	condition	condition	NOUN
ejge-4329	239	8	)	)	PUNCT
ejge-4329	239	9	,	,	PUNCT
ejge-4329	239	10	0	0	NUM
ejge-4329	239	11	)	)	PUNCT
ejge-4329	239	12	(	(	PUNCT
ejge-4329	239	13	≥ta	≥ta	X
ejge-4329	239	14	(	(	PUNCT
ejge-4329	239	15	non	non	ADJ
ejge-4329	239	16	-	-	ADJ
ejge-4329	239	17	negativity	negativity	ADJ
ejge-4329	239	18	constraint	constraint	NOUN
ejge-4329	239	19	on	on	ADP
ejge-4329	239	20	state	state	NOUN
ejge-4329	239	21	variable	variable	NOUN
ejge-4329	239	22	)	)	PUNCT
ejge-4329	239	23	,	,	PUNCT
ejge-4329	239	24	)	)	PUNCT
ejge-4329	239	25	(	(	PUNCT
ejge-4329	239	26	∞a	∞a	X
ejge-4329	239	27	free	free	ADJ
ejge-4329	239	28	(	(	PUNCT
ejge-4329	239	29	terminal	terminal	ADJ
ejge-4329	239	30	condition	condition	NOUN
ejge-4329	239	31	)	)	PUNCT
ejge-4329	239	32	.	.	PUNCT
ejge-4329	240	1	the	the	DET
ejge-4329	240	2	current	current	ADJ
ejge-4329	240	3	-	-	PUNCT
ejge-4329	240	4	value	value	NOUN
ejge-4329	240	5	hamiltonian	hamiltonian	NOUN
ejge-4329	240	6	for	for	ADP
ejge-4329	240	7	this	this	DET
ejge-4329	240	8	case	case	NOUN
ejge-4329	240	9	is	be	AUX
ejge-4329	240	10	(	(	PUNCT
ejge-4329	240	11	)	)	PUNCT
ejge-4329	240	12	(	(	PUNCT
ejge-4329	240	13	)	)	PUNCT
ejge-4329	240	14	(	(	PUNCT
ejge-4329	240	15	)	)	PUNCT
ejge-4329	240	16	(	(	PUNCT
ejge-4329	240	17	)	)	PUNCT
ejge-4329	240	18	(	(	PUNCT
ejge-4329	240	19	)	)	PUNCT
ejge-4329	240	20	[	[	PUNCT
ejge-4329	240	21	]	]	SYM
ejge-4329	240	22	.)())((=~	.)())((=~	NOUN
ejge-4329	240	23	txtptwtatrttxuh	txtptwtatrttxuh	NOUN
ejge-4329	240	24	−++	−++	ADP
ejge-4329	240	25	µ	µ	NOUN
ejge-4329	240	26	[	[	X
ejge-4329	240	27	21	21	NUM
ejge-4329	240	28	]	]	PUNCT
ejge-4329	240	29	now	now	ADV
ejge-4329	240	30	the	the	DET
ejge-4329	240	31	maximizing	maximize	VERB
ejge-4329	240	32	conditions	condition	NOUN
ejge-4329	240	33	are	be	AUX
ejge-4329	240	34	as	as	SCONJ
ejge-4329	240	35	follows	follow	VERB
ejge-4329	240	36	:	:	PUNCT
ejge-4329	240	37	)	)	PUNCT
ejge-4329	240	38	(	(	PUNCT
ejge-4329	240	39	i	i	NOUN
ejge-4329	240	40	)	)	PUNCT
ejge-4329	240	41	(	(	PUNCT
ejge-4329	240	42	tx∗	tx∗	NOUN
ejge-4329	240	43	maximizes	maximize	VERB
ejge-4329	240	44	h~	h~	PROPN
ejge-4329	240	45	for	for	ADP
ejge-4329	240	46	all	all	DET
ejge-4329	240	47	t	t	NOUN
ejge-4329	240	48	:	:	PUNCT
ejge-4329	240	49	0,=	0,=	NUM
ejge-4329	240	50	~	~	PUNCT
ejge-4329	240	51	x	x	SYM
ejge-4329	240	52	h	h	NOUN
ejge-4329	240	53	∂	∂	NOUN
ejge-4329	240	54	∂	∂	NUM
ejge-4329	240	55	)	)	PUNCT
ejge-4329	240	56	(	(	PUNCT
ejge-4329	240	57	ii	ii	NOUN
ejge-4329	240	58	,	,	PUNCT
ejge-4329	240	59	~	~	PUNCT
ejge-4329	240	60	=	=	PUNCT
ejge-4329	240	61	.	.	PUNCT
ejge-4329	241	1	a	a	DET
ejge-4329	241	2	h	h	NOUN
ejge-4329	241	3	∂	∂	NUM
ejge-4329	241	4	∂	∂	NOUN
ejge-4329	241	5	−−	−−	NOUN
ejge-4329	241	6	ρµµ	ρµµ	NOUN
ejge-4329	241	7	)	)	PUNCT
ejge-4329	241	8	(	(	PUNCT
ejge-4329	241	9	iii	iii	X
ejge-4329	241	10	µ∂	µ∂	NOUN
ejge-4329	241	11	∂∗	∂∗	VERB
ejge-4329	241	12	ha	ha	INTJ
ejge-4329	241	13	~	~	PUNCT
ejge-4329	241	14	=	=	PUNCT
ejge-4329	241	15	.	.	PUNCT
ejge-4329	242	1	(	(	PUNCT
ejge-4329	242	2	this	this	PRON
ejge-4329	242	3	just	just	ADV
ejge-4329	242	4	gives	give	VERB
ejge-4329	242	5	back	back	ADP
ejge-4329	242	6	the	the	DET
ejge-4329	242	7	state	state	NOUN
ejge-4329	242	8	equation	equation	NOUN
ejge-4329	242	9	)	)	PUNCT
ejge-4329	242	10	,	,	PUNCT
ejge-4329	242	11	)	)	PUNCT
ejge-4329	242	12	(	(	PUNCT
ejge-4329	242	13	iv	iv	NUM
ejge-4329	242	14	0=)()(lim	0=)()(lim	NUM
ejge-4329	242	15	t	t	NOUN
ejge-4329	242	16	t	t	PROPN
ejge-4329	242	17	etat	etat	PROPN
ejge-4329	242	18	ρµ	ρµ	PROPN
ejge-4329	242	19	−	−	PROPN
ejge-4329	242	20	∞→	∞→	ADV
ejge-4329	242	21	(	(	PUNCT
ejge-4329	242	22	the	the	DET
ejge-4329	242	23	transversality	transversality	NOUN
ejge-4329	242	24	condition	condition	NOUN
ejge-4329	242	25	)	)	PUNCT
ejge-4329	242	26	.	.	PUNCT
ejge-4329	243	1	the	the	DET
ejge-4329	243	2	first	first	ADJ
ejge-4329	243	3	two	two	NUM
ejge-4329	243	4	conditions	condition	NOUN
ejge-4329	243	5	are	be	AUX
ejge-4329	243	6	as	as	SCONJ
ejge-4329	243	7	follows	follow	VERB
ejge-4329	243	8	:	:	PUNCT
ejge-4329	243	9	206	206	NUM
ejge-4329	243	10	n.	n.	NOUN
ejge-4329	243	11	nawaz	nawaz	ADJ
ejge-4329	243	12	/	/	SYM
ejge-4329	243	13	european	european	ADJ
ejge-4329	243	14	journal	journal	PROPN
ejge-4329	243	15	of	of	ADP
ejge-4329	243	16	government	government	NOUN
ejge-4329	243	17	and	and	CCONJ
ejge-4329	243	18	economics	economic	NOUN
ejge-4329	243	19	6(2	6(2	NUM
ejge-4329	243	20	)	)	PUNCT
ejge-4329	243	21	,	,	PUNCT
ejge-4329	243	22	191	191	NUM
ejge-4329	243	23	-	-	SYM
ejge-4329	243	24	225	225	NUM
ejge-4329	243	25	(	(	PUNCT
ejge-4329	243	26	)	)	PUNCT
ejge-4329	243	27	0,=)()()(=	0,=)()()(=	NOUN
ejge-4329	243	28	~	~	PUNCT
ejge-4329	243	29	.	.	PUNCT
ejge-4329	244	1	tpttxu	tpttxu	NOUN
ejge-4329	245	1	x	x	PUNCT
ejge-4329	245	2	h	h	NOUN
ejge-4329	245	3	µ−	µ−	PROPN
ejge-4329	245	4	∂	∂	NUM
ejge-4329	245	5	∂	∂	NOUN
ejge-4329	246	1	[	[	X
ejge-4329	246	2	22	22	NUM
ejge-4329	246	3	]	]	PUNCT
ejge-4329	246	4	and	and	CCONJ
ejge-4329	246	5	)	)	PUNCT
ejge-4329	246	6	.()(=	.()(=	PUNCT
ejge-4329	247	1	~	~	PUNCT
ejge-4329	247	2	=	=	PUNCT
ejge-4329	247	3	.	.	PUNCT
ejge-4329	248	1	trt	trt	NOUN
ejge-4329	248	2	a	a	DET
ejge-4329	248	3	h	h	NOUN
ejge-4329	248	4	µρµµ	µρµµ	VERB
ejge-4329	248	5	−	−	PROPN
ejge-4329	248	6	∂	∂	NUM
ejge-4329	248	7	∂	∂	NOUN
ejge-4329	248	8	−−	−−	NOUN
ejge-4329	248	9	[	[	X
ejge-4329	248	10	23	23	NUM
ejge-4329	248	11	]	]	PUNCT
ejge-4329	248	12	if	if	SCONJ
ejge-4329	248	13	the	the	DET
ejge-4329	248	14	price	price	NOUN
ejge-4329	248	15	of	of	ADP
ejge-4329	248	16	good	good	ADJ
ejge-4329	248	17	x	x	NOUN
ejge-4329	248	18	increases	increase	NOUN
ejge-4329	248	19	,	,	PUNCT
ejge-4329	248	20	the	the	DET
ejge-4329	248	21	consumer	consumer	NOUN
ejge-4329	248	22	faces	face	NOUN
ejge-4329	248	23	(	(	PUNCT
ejge-4329	248	24	at	at	ADP
ejge-4329	248	25	the	the	DET
ejge-4329	248	26	previous	previous	ADJ
ejge-4329	248	27	level	level	NOUN
ejge-4329	248	28	of	of	ADP
ejge-4329	248	29	consumption	consumption	NOUN
ejge-4329	248	30	)	)	PUNCT
ejge-4329	248	31	(	(	PUNCT
ejge-4329	248	32	)	)	PUNCT
ejge-4329	249	1	0.<)()()(=	0.<)()()(=	NUM
ejge-4329	249	2	~	~	PUNCT
ejge-4329	249	3	.	.	PUNCT
ejge-4329	250	1	tpttxu	tpttxu	NOUN
ejge-4329	251	1	x	x	PUNCT
ejge-4329	251	2	h	h	NOUN
ejge-4329	251	3	µ−	µ−	PROPN
ejge-4329	251	4	∂	∂	NUM
ejge-4329	251	5	∂	∂	NOUN
ejge-4329	251	6	therefore	therefore	ADV
ejge-4329	251	7	in	in	ADP
ejge-4329	251	8	order	order	NOUN
ejge-4329	251	9	to	to	PART
ejge-4329	251	10	satisfy	satisfy	VERB
ejge-4329	251	11	the	the	DET
ejge-4329	251	12	condition	condition	NOUN
ejge-4329	251	13	of	of	ADP
ejge-4329	251	14	dynamic	dynamic	ADJ
ejge-4329	251	15	optimization	optimization	NOUN
ejge-4329	251	16	after	after	ADP
ejge-4329	251	17	the	the	DET
ejge-4329	251	18	price	price	NOUN
ejge-4329	251	19	increase	increase	NOUN
ejge-4329	251	20	,	,	PUNCT
ejge-4329	251	21	the	the	DET
ejge-4329	251	22	consumer	consumer	NOUN
ejge-4329	251	23	must	must	AUX
ejge-4329	251	24	decrease	decrease	VERB
ejge-4329	251	25	the	the	DET
ejge-4329	251	26	consumption	consumption	NOUN
ejge-4329	251	27	of	of	ADP
ejge-4329	251	28	good	good	ADJ
ejge-4329	251	29	x	x	INTJ
ejge-4329	251	30	.	.	PUNCT
ejge-4329	252	1	let	let	VERB
ejge-4329	252	2	the	the	DET
ejge-4329	252	3	change	change	NOUN
ejge-4329	252	4	in	in	ADP
ejge-4329	252	5	demand	demand	NOUN
ejge-4329	252	6	be	be	AUX
ejge-4329	252	7	proportional	proportional	ADJ
ejge-4329	252	8	to	to	ADP
ejge-4329	252	9	the	the	DET
ejge-4329	252	10	change	change	NOUN
ejge-4329	252	11	in	in	ADP
ejge-4329	252	12	price	price	NOUN
ejge-4329	252	13	,	,	PUNCT
ejge-4329	252	14	i.e.	i.e.	X
ejge-4329	252	15	p	p	NOUN
ejge-4329	252	16	.	.	PUNCT
ejge-4329	253	1	then	then	ADV
ejge-4329	253	2	we	we	PRON
ejge-4329	253	3	can	can	AUX
ejge-4329	253	4	write	write	VERB
ejge-4329	253	5	:	:	PUNCT
ejge-4329	253	6	or	or	CCONJ
ejge-4329	253	7	,	,	PUNCT
ejge-4329	253	8	demandin	demandin	VERB
ejge-4329	253	9	change	change	NOUN
ejge-4329	253	10	p∝	p∝	NOUN
ejge-4329	253	11	.=	.=	PUNCT
ejge-4329	254	1	pkw	pkw	PROPN
ejge-4329	254	2	dd	dd	NOUN
ejge-4329	255	1	−	−	PROPN
ejge-4329	255	2	[	[	X
ejge-4329	255	3	24	24	NUM
ejge-4329	255	4	]	]	X
ejge-4329	255	5	dw	dw	NOUN
ejge-4329	255	6	is	be	AUX
ejge-4329	255	7	the	the	DET
ejge-4329	255	8	change	change	NOUN
ejge-4329	255	9	in	in	ADP
ejge-4329	255	10	demand	demand	NOUN
ejge-4329	255	11	due	due	ADP
ejge-4329	255	12	to	to	ADP
ejge-4329	255	13	p	p	NOUN
ejge-4329	255	14	;	;	PUNCT
ejge-4329	255	15	when	when	SCONJ
ejge-4329	255	16	p	p	NOUN
ejge-4329	255	17	is	be	AUX
ejge-4329	255	18	positive	positive	ADJ
ejge-4329	255	19	dw	dw	NOUN
ejge-4329	255	20	is	be	AUX
ejge-4329	255	21	negative	negative	ADJ
ejge-4329	255	22	.	.	PUNCT
ejge-4329	256	1	3	3	X
ejge-4329	256	2	.	.	X
ejge-4329	256	3	solution	solution	NOUN
ejge-4329	256	4	of	of	ADP
ejge-4329	256	5	the	the	DET
ejge-4329	256	6	model	model	NOUN
ejge-4329	256	7	with	with	ADP
ejge-4329	256	8	a	a	DET
ejge-4329	256	9	quantity	quantity	NOUN
ejge-4329	256	10	tax	tax	NOUN
ejge-4329	256	11	the	the	DET
ejge-4329	256	12	solution	solution	NOUN
ejge-4329	256	13	of	of	ADP
ejge-4329	256	14	the	the	DET
ejge-4329	256	15	model	model	NOUN
ejge-4329	256	16	can	can	AUX
ejge-4329	256	17	be	be	AUX
ejge-4329	256	18	written	write	VERB
ejge-4329	256	19	as	as	ADP
ejge-4329	256	20	)	)	PUNCT
ejge-4329	256	21	.(=	.(=	PROPN
ejge-4329	256	22	)	)	PUNCT
ejge-4329	256	23	(	(	PUNCT
ejge-4329	256	24	)	)	PUNCT
ejge-4329	256	25	(	(	PUNCT
ejge-4329	256	26	)	)	PUNCT
ejge-4329	256	27	(	(	PUNCT
ejge-4329	256	28	tckktpkkk	tckktpkkk	NOUN
ejge-4329	256	29	dt	dt	NOUN
ejge-4329	256	30	tdp	tdp	NOUN
ejge-4329	256	31	smdsm	smdsm	VERB
ejge-4329	256	32	+	+	PROPN
ejge-4329	257	1	+	+	PROPN
ejge-4329	258	1	[	[	X
ejge-4329	258	2	25	25	NUM
ejge-4329	258	3	]	]	PUNCT
ejge-4329	258	4	if	if	SCONJ
ejge-4329	258	5	ttc	ttc	PROPN
ejge-4329	258	6	=)	=)	PROPN
ejge-4329	258	7	(	(	PUNCT
ejge-4329	258	8	,	,	PUNCT
ejge-4329	258	9	i.e.	i.e.	X
ejge-4329	258	10	the	the	DET
ejge-4329	258	11	government	government	NOUN
ejge-4329	258	12	imposes	impose	VERB
ejge-4329	258	13	a	a	DET
ejge-4329	258	14	per	per	X
ejge-4329	258	15	unit	unit	NOUN
ejge-4329	258	16	tax	tax	NOUN
ejge-4329	258	17	on	on	ADP
ejge-4329	258	18	producer	producer	NOUN
ejge-4329	258	19	at	at	ADP
ejge-4329	258	20	0	0	NUM
ejge-4329	258	21	=	=	NOUN
ejge-4329	258	22	t	t	PROPN
ejge-4329	258	23	,	,	PUNCT
ejge-4329	258	24	then	then	ADV
ejge-4329	258	25	the	the	DET
ejge-4329	258	26	above	above	ADJ
ejge-4329	258	27	differential	differential	ADJ
ejge-4329	258	28	equation	equation	NOUN
ejge-4329	258	29	becomes	become	VERB
ejge-4329	258	30	as	as	SCONJ
ejge-4329	258	31	follows	follow	VERB
ejge-4329	258	32	:	:	PUNCT
ejge-4329	258	33	.=	.=	NOUN
ejge-4329	258	34	)	)	PUNCT
ejge-4329	258	35	(	(	PUNCT
ejge-4329	258	36	)	)	PUNCT
ejge-4329	258	37	(	(	PUNCT
ejge-4329	258	38	)	)	PUNCT
ejge-4329	258	39	(	(	PUNCT
ejge-4329	258	40	tkktpkkk	tkktpkkk	NOUN
ejge-4329	258	41	dt	dt	AUX
ejge-4329	258	42	tdp	tdp	NOUN
ejge-4329	258	43	smdsm	smdsm	VERB
ejge-4329	258	44	+	+	PROPN
ejge-4329	259	1	+	+	PROPN
ejge-4329	260	1	[	[	X
ejge-4329	260	2	26	26	NUM
ejge-4329	260	3	]	]	PUNCT
ejge-4329	260	4	the	the	DET
ejge-4329	260	5	routh	routh	PROPN
ejge-4329	260	6	–	–	PUNCT
ejge-4329	260	7	hurwitz	hurwitz	PROPN
ejge-4329	260	8	stability	stability	NOUN
ejge-4329	260	9	criterion	criterion	NOUN
ejge-4329	260	10	(	(	PUNCT
ejge-4329	260	11	which	which	PRON
ejge-4329	260	12	provides	provide	VERB
ejge-4329	260	13	a	a	DET
ejge-4329	260	14	necessary	necessary	ADJ
ejge-4329	260	15	and	and	CCONJ
ejge-4329	260	16	sufficient	sufficient	ADJ
ejge-4329	260	17	condition	condition	NOUN
ejge-4329	260	18	for	for	ADP
ejge-4329	260	19	stability	stability	NOUN
ejge-4329	260	20	of	of	ADP
ejge-4329	260	21	a	a	DET
ejge-4329	260	22	linear	linear	ADJ
ejge-4329	260	23	dynamical	dynamical	ADJ
ejge-4329	260	24	system	system	NOUN
ejge-4329	260	25	)	)	PUNCT
ejge-4329	260	26	for	for	ADP
ejge-4329	260	27	the	the	DET
ejge-4329	260	28	stability	stability	NOUN
ejge-4329	260	29	of	of	ADP
ejge-4329	260	30	the	the	DET
ejge-4329	260	31	above	above	ADJ
ejge-4329	260	32	differential	differential	ADJ
ejge-4329	260	33	equation	equation	NOUN
ejge-4329	260	34	is	be	AUX
ejge-4329	260	35	0	0	NUM
ejge-4329	260	36	>	>	X
ejge-4329	260	37	)	)	PUNCT
ejge-4329	260	38	(	(	PUNCT
ejge-4329	260	39	dsm	dsm	PROPN
ejge-4329	260	40	kkk	kkk	PROPN
ejge-4329	260	41	+	+	CCONJ
ejge-4329	260	42	,	,	PUNCT
ejge-4329	260	43	which	which	PRON
ejge-4329	260	44	holds	hold	VERB
ejge-4329	260	45	as	as	ADP
ejge-4329	260	46	mk	mk	NOUN
ejge-4329	260	47	,	,	PUNCT
ejge-4329	260	48	sk	sk	NOUN
ejge-4329	260	49	and	and	CCONJ
ejge-4329	260	50	dk	dk	PROPN
ejge-4329	260	51	are	be	AUX
ejge-4329	260	52	all	all	ADV
ejge-4329	260	53	defined	define	VERB
ejge-4329	260	54	to	to	PART
ejge-4329	260	55	be	be	AUX
ejge-4329	260	56	positive	positive	ADJ
ejge-4329	260	57	.	.	PUNCT
ejge-4329	261	1	this	this	PRON
ejge-4329	261	2	ensures	ensure	VERB
ejge-4329	261	3	that	that	SCONJ
ejge-4329	261	4	,	,	PUNCT
ejge-4329	261	5	away	away	ADV
ejge-4329	261	6	from	from	ADP
ejge-4329	261	7	a	a	DET
ejge-4329	261	8	given	give	VERB
ejge-4329	261	9	initial	initial	ADJ
ejge-4329	261	10	equilibrium	equilibrium	NOUN
ejge-4329	261	11	,	,	PUNCT
ejge-4329	261	12	every	every	DET
ejge-4329	261	13	adjustment	adjustment	NOUN
ejge-4329	261	14	mechanism	mechanism	NOUN
ejge-4329	261	15	will	will	AUX
ejge-4329	261	16	lead	lead	VERB
ejge-4329	261	17	to	to	ADP
ejge-4329	261	18	another	another	DET
ejge-4329	261	19	equilibrium	equilibrium	NOUN
ejge-4329	261	20	.	.	PUNCT
ejge-4329	262	1	now	now	ADV
ejge-4329	262	2	let	let	VERB
ejge-4329	262	3	’s	’s	NOUN
ejge-4329	262	4	look	look	VERB
ejge-4329	262	5	at	at	ADP
ejge-4329	262	6	the	the	DET
ejge-4329	262	7	dynamics	dynamic	NOUN
ejge-4329	262	8	of	of	ADP
ejge-4329	262	9	the	the	DET
ejge-4329	262	10	price	price	NOUN
ejge-4329	262	11	if	if	SCONJ
ejge-4329	262	12	the	the	DET
ejge-4329	262	13	quantity	quantity	NOUN
ejge-4329	262	14	tax	tax	NOUN
ejge-4329	262	15	is	be	AUX
ejge-4329	262	16	imposed	impose	VERB
ejge-4329	262	17	on	on	ADP
ejge-4329	262	18	the	the	DET
ejge-4329	262	19	buyer	buyer	NOUN
ejge-4329	262	20	207	207	NUM
ejge-4329	262	21	n.	n.	NOUN
ejge-4329	262	22	nawaz	nawaz	ADJ
ejge-4329	262	23	/	/	SYM
ejge-4329	262	24	european	european	ADJ
ejge-4329	262	25	journal	journal	PROPN
ejge-4329	262	26	of	of	ADP
ejge-4329	262	27	government	government	NOUN
ejge-4329	262	28	and	and	CCONJ
ejge-4329	262	29	economics	economic	NOUN
ejge-4329	262	30	6(2	6(2	NUM
ejge-4329	262	31	)	)	PUNCT
ejge-4329	262	32	,	,	PUNCT
ejge-4329	262	33	191	191	NUM
ejge-4329	262	34	-	-	SYM
ejge-4329	262	35	225	225	NUM
ejge-4329	262	36	instead	instead	ADV
ejge-4329	262	37	.	.	PUNCT
ejge-4329	263	1	the	the	DET
ejge-4329	263	2	market	market	NOUN
ejge-4329	263	3	price	price	NOUN
ejge-4329	263	4	is	be	AUX
ejge-4329	263	5	the	the	DET
ejge-4329	263	6	buyer	buyer	NOUN
ejge-4329	263	7	’s	’s	PART
ejge-4329	263	8	price	price	NOUN
ejge-4329	263	9	as	as	ADP
ejge-4329	263	10	before	before	ADV
ejge-4329	263	11	,	,	PUNCT
ejge-4329	263	12	however	however	ADV
ejge-4329	263	13	,	,	PUNCT
ejge-4329	263	14	the	the	DET
ejge-4329	263	15	producer	producer	NOUN
ejge-4329	263	16	will	will	AUX
ejge-4329	263	17	be	be	AUX
ejge-4329	263	18	taking	take	VERB
ejge-4329	263	19	into	into	ADP
ejge-4329	263	20	account	account	NOUN
ejge-4329	263	21	the	the	DET
ejge-4329	263	22	price	price	NOUN
ejge-4329	263	23	before	before	ADP
ejge-4329	263	24	tax	tax	NOUN
ejge-4329	263	25	for	for	ADP
ejge-4329	263	26	his/	his/	NUM
ejge-4329	263	27	her	her	PRON
ejge-4329	263	28	production	production	NOUN
ejge-4329	263	29	decisions	decision	NOUN
ejge-4329	263	30	.	.	PUNCT
ejge-4329	264	1	therefore	therefore	ADV
ejge-4329	264	2	,	,	PUNCT
ejge-4329	264	3	)	)	PUNCT
ejge-4329	264	4	.(=	.(=	PUNCT
ejge-4329	264	5	)	)	PUNCT
ejge-4329	265	1	(	(	PUNCT
ejge-4329	265	2	tptt	tptt	NOUN
ejge-4329	265	3	−ε	−ε	PROPN
ejge-4329	266	1	[	[	X
ejge-4329	266	2	27	27	NUM
ejge-4329	266	3	]	]	PUNCT
ejge-4329	266	4	this	this	PRON
ejge-4329	266	5	implies	imply	VERB
ejge-4329	266	6	that	that	SCONJ
ejge-4329	266	7	,	,	PUNCT
ejge-4329	266	8	=)	=)	PROPN
ejge-4329	266	9	(	(	PUNCT
ejge-4329	266	10	)	)	PUNCT
ejge-4329	266	11	(	(	PUNCT
ejge-4329	266	12	)	)	PUNCT
ejge-4329	266	13	(	(	PUNCT
ejge-4329	266	14	tkktpkkk	tkktpkkk	NOUN
ejge-4329	266	15	dt	dt	AUX
ejge-4329	266	16	tdp	tdp	NOUN
ejge-4329	266	17	smdsm	smdsm	VERB
ejge-4329	266	18	+	+	PROPN
ejge-4329	266	19	+	+	ADP
ejge-4329	266	20	which	which	PRON
ejge-4329	266	21	is	be	AUX
ejge-4329	266	22	the	the	DET
ejge-4329	266	23	same	same	ADJ
ejge-4329	266	24	as	as	ADP
ejge-4329	266	25	eq	eq	ADP
ejge-4329	266	26	.	.	PUNCT
ejge-4329	267	1	[	[	X
ejge-4329	267	2	26	26	NUM
ejge-4329	267	3	]	]	PUNCT
ejge-4329	267	4	.	.	PUNCT
ejge-4329	268	1	the	the	DET
ejge-4329	268	2	solution	solution	NOUN
ejge-4329	268	3	of	of	ADP
ejge-4329	268	4	the	the	DET
ejge-4329	268	5	above	above	ADJ
ejge-4329	268	6	differential	differential	ADJ
ejge-4329	268	7	equation	equation	NOUN
ejge-4329	268	8	with	with	ADP
ejge-4329	268	9	initial	initial	ADJ
ejge-4329	268	10	conditions	condition	NOUN
ejge-4329	268	11	of	of	ADP
ejge-4329	268	12	a	a	DET
ejge-4329	268	13	buyer	buyer	NOUN
ejge-4329	268	14	’s	’s	PART
ejge-4329	268	15	tax	tax	NOUN
ejge-4329	268	16	is	be	AUX
ejge-4329	268	17	as	as	SCONJ
ejge-4329	268	18	follows	follow	VERB
ejge-4329	268	19	:	:	PUNCT
ejge-4329	268	20	the	the	DET
ejge-4329	268	21	solution	solution	NOUN
ejge-4329	268	22	has	have	VERB
ejge-4329	268	23	the	the	DET
ejge-4329	268	24	form	form	NOUN
ejge-4329	268	25	[	[	PUNCT
ejge-4329	268	26	]	]	PUNCT
ejge-4329	268	27	.=	.=	NOUN
ejge-4329	268	28	)	)	PUNCT
ejge-4329	268	29	(	(	PUNCT
ejge-4329	268	30	)	)	PUNCT
ejge-4329	268	31	(	(	PUNCT
ejge-4329	268	32	21	21	NUM
ejge-4329	268	33	tdkskmkecctp	tdkskmkecctp	NOUN
ejge-4329	269	1	+	+	NOUN
ejge-4329	269	2	−+	−+	PROPN
ejge-4329	269	3	[	[	X
ejge-4329	269	4	28	28	NUM
ejge-4329	269	5	]	]	AUX
ejge-4329	269	6	substituting	substitute	VERB
ejge-4329	269	7	the	the	DET
ejge-4329	269	8	values	value	NOUN
ejge-4329	269	9	of	of	ADP
ejge-4329	269	10	1c	1c	NUM
ejge-4329	269	11	and	and	CCONJ
ejge-4329	269	12	2c	2c	NOUN
ejge-4329	269	13	in	in	ADP
ejge-4329	269	14	eq	eq	ADP
ejge-4329	269	15	.	.	PUNCT
ejge-4329	270	1	[	[	X
ejge-4329	270	2	28	28	NUM
ejge-4329	270	3	]	]	X
ejge-4329	270	4	we	we	PRON
ejge-4329	270	5	obtain	obtain	VERB
ejge-4329	270	6	[	[	PUNCT
ejge-4329	270	7	]	]	PUNCT
ejge-4329	270	8	.=	.=	NOUN
ejge-4329	270	9	)	)	PUNCT
ejge-4329	270	10	(	(	PUNCT
ejge-4329	270	11	)	)	PUNCT
ejge-4329	270	12	(	(	PUNCT
ejge-4329	270	13	tdkskmk	tdkskmk	NOUN
ejge-4329	270	14	ds	ds	PRON
ejge-4329	270	15	d	d	NOUN
ejge-4329	270	16	ds	ds	NOUN
ejge-4329	270	17	s	s	PROPN
ejge-4329	270	18	e	e	X
ejge-4329	270	19	kk	kk	PROPN
ejge-4329	270	20	tk	tk	PROPN
ejge-4329	270	21	kk	kk	PROPN
ejge-4329	270	22	tktp	tktp	VERB
ejge-4329	270	23	+	+	ADV
ejge-4329	270	24	−	−	PROPN
ejge-4329	271	1	+	+	X
ejge-4329	272	1	+	+	PUNCT
ejge-4329	272	2	+	+	CCONJ
ejge-4329	272	3	[	[	X
ejge-4329	272	4	29	29	NUM
ejge-4329	272	5	]	]	PUNCT
ejge-4329	272	6	when	when	SCONJ
ejge-4329	272	7	0,=t	0,=t	PROPN
ejge-4329	272	8	tp	tp	ADP
ejge-4329	272	9	=(	=(	PROPN
ejge-4329	272	10	0	0	NUM
ejge-4329	272	11	)	)	PUNCT
ejge-4329	272	12	(	(	PUNCT
ejge-4329	272	13	the	the	DET
ejge-4329	272	14	initial	initial	ADJ
ejge-4329	272	15	condition	condition	NOUN
ejge-4329	272	16	)	)	PUNCT
ejge-4329	272	17	,	,	PUNCT
ejge-4329	272	18	and	and	CCONJ
ejge-4329	272	19	when	when	SCONJ
ejge-4329	272	20	,	,	PUNCT
ejge-4329	272	21	=	=	SYM
ejge-4329	272	22	∞t	∞t	NOUN
ejge-4329	272	23	ds	ds	PROPN
ejge-4329	272	24	s	s	X
ejge-4329	272	25	kk	kk	X
ejge-4329	272	26	tkp	tkp	PROPN
ejge-4329	272	27	+	+	CCONJ
ejge-4329	272	28	∞	∞	PROPN
ejge-4329	272	29	=)	=)	PROPN
ejge-4329	272	30	(	(	PUNCT
ejge-4329	272	31	(	(	PUNCT
ejge-4329	272	32	the	the	DET
ejge-4329	272	33	final	final	ADJ
ejge-4329	272	34	steady	steady	ADJ
ejge-4329	272	35	state	state	NOUN
ejge-4329	272	36	equilibrium	equilibrium	NOUN
ejge-4329	272	37	value	value	NOUN
ejge-4329	272	38	)	)	PUNCT
ejge-4329	272	39	.	.	PUNCT
ejge-4329	273	1	in	in	ADP
ejge-4329	273	2	the	the	DET
ejge-4329	273	3	final	final	ADJ
ejge-4329	273	4	equilibrium	equilibrium	NOUN
ejge-4329	273	5	,	,	PUNCT
ejge-4329	273	6	the	the	DET
ejge-4329	273	7	quantity	quantity	NOUN
ejge-4329	273	8	demanded	demand	VERB
ejge-4329	273	9	must	must	AUX
ejge-4329	273	10	equal	equal	VERB
ejge-4329	273	11	the	the	DET
ejge-4329	273	12	quantity	quantity	NOUN
ejge-4329	273	13	supplied	supply	VERB
ejge-4329	273	14	,	,	PUNCT
ejge-4329	273	15	which	which	PRON
ejge-4329	273	16	holds	hold	VERB
ejge-4329	273	17	(	(	PUNCT
ejge-4329	273	18	see	see	VERB
ejge-4329	273	19	appendix	appendix	NOUN
ejge-4329	273	20	)	)	PUNCT
ejge-4329	273	21	.	.	PUNCT
ejge-4329	274	1	4	4	X
ejge-4329	274	2	.	.	X
ejge-4329	274	3	an	an	DET
ejge-4329	274	4	optimal	optimal	ADJ
ejge-4329	274	5	quantity	quantity	NOUN
ejge-4329	274	6	tax	tax	NOUN
ejge-4329	274	7	path	path	NOUN
ejge-4329	274	8	the	the	DET
ejge-4329	274	9	efficiency	efficiency	NOUN
ejge-4329	274	10	loss	loss	NOUN
ejge-4329	274	11	as	as	ADP
ejge-4329	274	12	a	a	DET
ejge-4329	274	13	result	result	NOUN
ejge-4329	274	14	of	of	ADP
ejge-4329	274	15	a	a	DET
ejge-4329	274	16	tax	tax	NOUN
ejge-4329	274	17	,	,	PUNCT
ejge-4329	274	18	generally	generally	ADV
ejge-4329	274	19	mentioned	mention	VERB
ejge-4329	274	20	in	in	ADP
ejge-4329	274	21	the	the	DET
ejge-4329	274	22	economics	economic	NOUN
ejge-4329	274	23	literature	literature	NOUN
ejge-4329	274	24	is	be	AUX
ejge-4329	274	25	the	the	DET
ejge-4329	274	26	dead	dead	ADJ
ejge-4329	274	27	weight	weight	NOUN
ejge-4329	274	28	loss	loss	NOUN
ejge-4329	274	29	as	as	ADP
ejge-4329	274	30	a	a	DET
ejge-4329	274	31	result	result	NOUN
ejge-4329	274	32	of	of	ADP
ejge-4329	274	33	comparisons	comparison	NOUN
ejge-4329	274	34	of	of	ADP
ejge-4329	274	35	the	the	DET
ejge-4329	274	36	pre	pre	NOUN
ejge-4329	274	37	and	and	CCONJ
ejge-4329	274	38	post	post	VERB
ejge-4329	274	39	tax	tax	NOUN
ejge-4329	274	40	market	market	NOUN
ejge-4329	274	41	equilibriums	equilibrium	NOUN
ejge-4329	274	42	.	.	PUNCT
ejge-4329	275	1	however	however	ADV
ejge-4329	275	2	,	,	PUNCT
ejge-4329	275	3	the	the	DET
ejge-4329	275	4	dynamic	dynamic	ADJ
ejge-4329	275	5	picture	picture	NOUN
ejge-4329	275	6	shows	show	VERB
ejge-4329	275	7	that	that	SCONJ
ejge-4329	275	8	there	there	PRON
ejge-4329	275	9	is	be	VERB
ejge-4329	275	10	some	some	DET
ejge-4329	275	11	efficiency	efficiency	NOUN
ejge-4329	275	12	loss	loss	NOUN
ejge-4329	275	13	on	on	ADP
ejge-4329	275	14	the	the	DET
ejge-4329	275	15	dynamic	dynamic	ADJ
ejge-4329	275	16	adjustment	adjustment	NOUN
ejge-4329	275	17	path	path	NOUN
ejge-4329	275	18	to	to	ADP
ejge-4329	275	19	the	the	DET
ejge-4329	275	20	new	new	ADJ
ejge-4329	275	21	equilibrium	equilibrium	NOUN
ejge-4329	275	22	as	as	ADV
ejge-4329	275	23	well	well	ADV
ejge-4329	275	24	after	after	ADP
ejge-4329	275	25	the	the	DET
ejge-4329	275	26	tax	tax	NOUN
ejge-4329	275	27	.	.	PUNCT
ejge-4329	276	1	after	after	ADP
ejge-4329	276	2	the	the	DET
ejge-4329	276	3	imposition	imposition	NOUN
ejge-4329	276	4	of	of	ADP
ejge-4329	276	5	the	the	DET
ejge-4329	276	6	tax	tax	NOUN
ejge-4329	276	7	,	,	PUNCT
ejge-4329	276	8	the	the	DET
ejge-4329	276	9	price	price	NOUN
ejge-4329	276	10	jumps	jump	VERB
ejge-4329	276	11	to	to	ADP
ejge-4329	276	12	a	a	DET
ejge-4329	276	13	price	price	NOUN
ejge-4329	276	14	equal	equal	ADJ
ejge-4329	276	15	to	to	ADP
ejge-4329	276	16	the	the	DET
ejge-4329	276	17	previous	previous	ADJ
ejge-4329	276	18	equilibrium	equilibrium	NOUN
ejge-4329	276	19	price	price	NOUN
ejge-4329	276	20	plus	plus	CCONJ
ejge-4329	276	21	the	the	DET
ejge-4329	276	22	tax	tax	NOUN
ejge-4329	276	23	.	.	PUNCT
ejge-4329	277	1	the	the	DET
ejge-4329	277	2	price	price	NOUN
ejge-4329	277	3	then	then	ADV
ejge-4329	277	4	adjusts	adjust	VERB
ejge-4329	277	5	over	over	ADP
ejge-4329	277	6	time	time	NOUN
ejge-4329	277	7	to	to	PART
ejge-4329	277	8	bring	bring	VERB
ejge-4329	277	9	the	the	DET
ejge-4329	277	10	new	new	ADJ
ejge-4329	277	11	equilibrium	equilibrium	NOUN
ejge-4329	277	12	price	price	NOUN
ejge-4329	277	13	which	which	PRON
ejge-4329	277	14	is	be	AUX
ejge-4329	277	15	higher	high	ADJ
ejge-4329	277	16	than	than	ADP
ejge-4329	277	17	the	the	DET
ejge-4329	277	18	previous	previous	ADJ
ejge-4329	277	19	equilibrium	equilibrium	NOUN
ejge-4329	277	20	price	price	NOUN
ejge-4329	277	21	and	and	CCONJ
ejge-4329	277	22	less	less	ADJ
ejge-4329	277	23	than	than	ADP
ejge-4329	277	24	the	the	DET
ejge-4329	277	25	price	price	NOUN
ejge-4329	277	26	at	at	ADP
ejge-4329	277	27	the	the	DET
ejge-4329	277	28	time	time	NOUN
ejge-4329	277	29	the	the	DET
ejge-4329	277	30	tax	tax	NOUN
ejge-4329	277	31	was	be	AUX
ejge-4329	277	32	imposed	impose	VERB
ejge-4329	277	33	depending	depend	VERB
ejge-4329	277	34	on	on	ADP
ejge-4329	277	35	the	the	DET
ejge-4329	277	36	elasticity	elasticity	NOUN
ejge-4329	277	37	of	of	ADP
ejge-4329	277	38	demand	demand	NOUN
ejge-4329	277	39	and	and	CCONJ
ejge-4329	277	40	supply	supply	NOUN
ejge-4329	277	41	schedules	schedule	NOUN
ejge-4329	277	42	.	.	PUNCT
ejge-4329	278	1	a	a	DET
ejge-4329	278	2	pile	pile	NOUN
ejge-4329	278	3	up	up	ADP
ejge-4329	278	4	of	of	ADP
ejge-4329	278	5	inventory	inventory	NOUN
ejge-4329	278	6	indicates	indicate	VERB
ejge-4329	278	7	a	a	DET
ejge-4329	278	8	higher	high	ADJ
ejge-4329	278	9	supply	supply	NOUN
ejge-4329	278	10	than	than	ADP
ejge-4329	278	11	demand	demand	NOUN
ejge-4329	278	12	,	,	PUNCT
ejge-4329	278	13	and	and	CCONJ
ejge-4329	278	14	a	a	DET
ejge-4329	278	15	depletion	depletion	NOUN
ejge-4329	278	16	of	of	ADP
ejge-4329	278	17	inventory	inventory	NOUN
ejge-4329	278	18	occurs	occur	VERB
ejge-4329	278	19	when	when	SCONJ
ejge-4329	278	20	demand	demand	NOUN
ejge-4329	278	21	is	be	AUX
ejge-4329	278	22	higher	high	ADJ
ejge-4329	278	23	than	than	ADP
ejge-4329	278	24	the	the	DET
ejge-4329	278	25	supply	supply	NOUN
ejge-4329	278	26	in	in	ADP
ejge-4329	278	27	a	a	DET
ejge-4329	278	28	given	give	VERB
ejge-4329	278	29	time	time	NOUN
ejge-4329	278	30	period	period	NOUN
ejge-4329	278	31	.	.	PUNCT
ejge-4329	279	1	when	when	SCONJ
ejge-4329	279	2	the	the	DET
ejge-4329	279	3	demand	demand	NOUN
ejge-4329	279	4	and	and	CCONJ
ejge-4329	279	5	supply	supply	NOUN
ejge-4329	279	6	are	be	AUX
ejge-4329	279	7	the	the	DET
ejge-4329	279	8	same	same	ADJ
ejge-4329	279	9	,	,	PUNCT
ejge-4329	279	10	there	there	PRON
ejge-4329	279	11	is	be	VERB
ejge-4329	279	12	no	no	DET
ejge-4329	279	13	efficiency	efficiency	NOUN
ejge-4329	279	14	loss	loss	NOUN
ejge-4329	279	15	.	.	PUNCT
ejge-4329	280	1	if	if	SCONJ
ejge-4329	280	2	the	the	DET
ejge-4329	280	3	demand	demand	NOUN
ejge-4329	280	4	and	and	CCONJ
ejge-4329	280	5	supply	supply	NOUN
ejge-4329	280	6	are	be	AUX
ejge-4329	280	7	different	different	ADJ
ejge-4329	280	8	,	,	PUNCT
ejge-4329	280	9	the	the	DET
ejge-4329	280	10	output	output	NOUN
ejge-4329	280	11	and/	and/	NOUN
ejge-4329	280	12	or	or	CCONJ
ejge-4329	280	13	consumption	consumption	NOUN
ejge-4329	280	14	is	be	AUX
ejge-4329	280	15	being	be	AUX
ejge-4329	280	16	lost	lose	VERB
ejge-4329	280	17	at	at	ADP
ejge-4329	280	18	that	that	DET
ejge-4329	280	19	point	point	NOUN
ejge-4329	280	20	in	in	ADP
ejge-4329	280	21	time	time	NOUN
ejge-4329	280	22	.	.	PUNCT
ejge-4329	281	1	therefore	therefore	ADV
ejge-4329	281	2	if	if	SCONJ
ejge-4329	281	3	we	we	PRON
ejge-4329	281	4	sum	sum	VERB
ejge-4329	281	5	up	up	ADP
ejge-4329	281	6	the	the	DET
ejge-4329	281	7	inventory	inventory	NOUN
ejge-4329	281	8	change	change	NOUN
ejge-4329	281	9	at	at	ADV
ejge-4329	281	10	all	all	DET
ejge-4329	281	11	points	point	NOUN
ejge-4329	281	12	in	in	ADP
ejge-4329	281	13	time	time	NOUN
ejge-4329	281	14	,	,	PUNCT
ejge-4329	281	15	we	we	PRON
ejge-4329	281	16	get	get	VERB
ejge-4329	281	17	the	the	DET
ejge-4329	281	18	total	total	ADJ
ejge-4329	281	19	efficiency	efficiency	NOUN
ejge-4329	281	20	loss	loss	NOUN
ejge-4329	281	21	,	,	PUNCT
ejge-4329	281	22	which	which	PRON
ejge-4329	281	23	is	be	AUX
ejge-4329	281	24	as	as	SCONJ
ejge-4329	281	25	follows	follow	VERB
ejge-4329	281	26	:	:	PUNCT
ejge-4329	281	27	208	208	NUM
ejge-4329	281	28	n.	n.	NOUN
ejge-4329	281	29	nawaz	nawaz	ADJ
ejge-4329	281	30	/	/	SYM
ejge-4329	281	31	european	european	ADJ
ejge-4329	281	32	journal	journal	PROPN
ejge-4329	281	33	of	of	ADP
ejge-4329	281	34	government	government	NOUN
ejge-4329	281	35	and	and	CCONJ
ejge-4329	281	36	economics	economic	NOUN
ejge-4329	281	37	6(2	6(2	NUM
ejge-4329	281	38	)	)	PUNCT
ejge-4329	281	39	,	,	PUNCT
ejge-4329	282	1	191	191	NUM
ejge-4329	282	2	-	-	SYM
ejge-4329	282	3	225	225	NUM
ejge-4329	282	4	.)(=	.)(=	SYM
ejge-4329	282	5	0	0	NUM
ejge-4329	282	6	dttmel	dttmel	NOUN
ejge-4329	282	7	∫	∫	PROPN
ejge-4329	283	1	∞	∞	PROPN
ejge-4329	284	1	[	[	X
ejge-4329	284	2	30	30	NUM
ejge-4329	284	3	]	]	PUNCT
ejge-4329	284	4	eq	eq	NOUN
ejge-4329	284	5	.	.	PUNCT
ejge-4329	285	1	[	[	X
ejge-4329	285	2	30	30	NUM
ejge-4329	285	3	]	]	PUNCT
ejge-4329	285	4	can	can	AUX
ejge-4329	285	5	be	be	AUX
ejge-4329	285	6	written	write	VERB
ejge-4329	285	7	as	as	ADP
ejge-4329	285	8	[	[	PUNCT
ejge-4329	285	9	]	]	X
ejge-4329	285	10	.)(1=	.)(1=	SYM
ejge-4329	285	11	0	0	PUNCT
ejge-4329	285	12	dttkkttp	dttkkttp	PROPN
ejge-4329	285	13	k	k	PROPN
ejge-4329	285	14	el	el	PROPN
ejge-4329	286	1	dm	dm	INTJ
ejge-4329	286	2	m	m	NOUN
ejge-4329	286	3	−−−	−−−	X
ejge-4329	287	1	∫	∫	PROPN
ejge-4329	288	1	∞	∞	PROPN
ejge-4329	289	1	[	[	X
ejge-4329	289	2	30a	30a	NOUN
ejge-4329	289	3	]	]	PUNCT
ejge-4329	289	4	in	in	ADP
ejge-4329	289	5	figure	figure	NOUN
ejge-4329	289	6	3	3	NUM
ejge-4329	289	7	,	,	PUNCT
ejge-4329	289	8	the	the	DET
ejge-4329	289	9	inventory	inventory	NOUN
ejge-4329	289	10	difference	difference	NOUN
ejge-4329	289	11	jumps	jump	VERB
ejge-4329	289	12	to	to	PART
ejge-4329	289	13	tkd	tkd	VERB
ejge-4329	289	14	,	,	PUNCT
ejge-4329	289	15	i.e.	i.e.	X
ejge-4329	289	16	the	the	DET
ejge-4329	289	17	decrease	decrease	NOUN
ejge-4329	289	18	in	in	ADP
ejge-4329	289	19	demand	demand	NOUN
ejge-4329	289	20	because	because	SCONJ
ejge-4329	289	21	of	of	ADP
ejge-4329	289	22	tax	tax	NOUN
ejge-4329	289	23	at	at	ADP
ejge-4329	289	24	0	0	NUM
ejge-4329	289	25	=	=	NOUN
ejge-4329	289	26	t	t	PROPN
ejge-4329	289	27	.	.	PUNCT
ejge-4329	290	1	the	the	DET
ejge-4329	290	2	demand	demand	NOUN
ejge-4329	290	3	does	do	AUX
ejge-4329	290	4	not	not	PART
ejge-4329	290	5	equal	equal	VERB
ejge-4329	290	6	the	the	DET
ejge-4329	290	7	supply	supply	NOUN
ejge-4329	290	8	any	any	ADV
ejge-4329	290	9	longer	long	ADV
ejge-4329	290	10	,	,	PUNCT
ejge-4329	290	11	and	and	CCONJ
ejge-4329	290	12	the	the	DET
ejge-4329	290	13	market	market	NOUN
ejge-4329	290	14	forces	force	NOUN
ejge-4329	290	15	come	come	VERB
ejge-4329	290	16	into	into	ADP
ejge-4329	290	17	play	play	NOUN
ejge-4329	290	18	.	.	PUNCT
ejge-4329	291	1	the	the	DET
ejge-4329	291	2	inventory	inventory	NOUN
ejge-4329	291	3	along	along	ADP
ejge-4329	291	4	with	with	ADP
ejge-4329	291	5	the	the	DET
ejge-4329	291	6	price	price	NOUN
ejge-4329	291	7	adjusts	adjust	VERB
ejge-4329	291	8	over	over	ADP
ejge-4329	291	9	time	time	NOUN
ejge-4329	291	10	and	and	CCONJ
ejge-4329	291	11	arrives	arrive	VERB
ejge-4329	291	12	at	at	ADP
ejge-4329	291	13	the	the	DET
ejge-4329	291	14	new	new	ADJ
ejge-4329	291	15	equilibrium	equilibrium	NOUN
ejge-4329	291	16	,	,	PUNCT
ejge-4329	291	17	i.e.	i.e.	X
ejge-4329	291	18	)	)	PUNCT
ejge-4329	291	19	.(∞m	.(∞m	NOUN
ejge-4329	291	20	the	the	DET
ejge-4329	291	21	shaded	shaded	ADJ
ejge-4329	291	22	area	area	NOUN
ejge-4329	291	23	is	be	AUX
ejge-4329	291	24	the	the	DET
ejge-4329	291	25	efficiency	efficiency	NOUN
ejge-4329	291	26	loss	loss	NOUN
ejge-4329	291	27	(	(	PUNCT
ejge-4329	291	28	the	the	DET
ejge-4329	291	29	amount	amount	NOUN
ejge-4329	291	30	of	of	ADP
ejge-4329	291	31	output	output	NOUN
ejge-4329	291	32	and/	and/	NOUN
ejge-4329	291	33	or	or	CCONJ
ejge-4329	291	34	consumption	consumption	NOUN
ejge-4329	291	35	lost	lose	VERB
ejge-4329	291	36	)	)	PUNCT
ejge-4329	291	37	during	during	ADP
ejge-4329	291	38	the	the	DET
ejge-4329	291	39	adjustment	adjustment	NOUN
ejge-4329	291	40	process	process	NOUN
ejge-4329	291	41	.	.	PUNCT
ejge-4329	292	1	the	the	DET
ejge-4329	292	2	area	area	NOUN
ejge-4329	292	3	between	between	ADP
ejge-4329	292	4	the	the	DET
ejge-4329	292	5	lines	line	NOUN
ejge-4329	292	6	0,=)(tm	0,=)(tm	NOUN
ejge-4329	292	7	and	and	CCONJ
ejge-4329	292	8	)	)	PUNCT
ejge-4329	292	9	(	(	PUNCT
ejge-4329	292	10	=)	=)	PROPN
ejge-4329	292	11	(	(	PUNCT
ejge-4329	292	12	∞mtm	∞mtm	PROPN
ejge-4329	292	13	is	be	AUX
ejge-4329	292	14	the	the	DET
ejge-4329	292	15	efficiency	efficiency	NOUN
ejge-4329	292	16	loss	loss	NOUN
ejge-4329	292	17	resulting	result	VERB
ejge-4329	292	18	from	from	ADP
ejge-4329	292	19	a	a	DET
ejge-4329	292	20	difference	difference	NOUN
ejge-4329	292	21	in	in	ADP
ejge-4329	292	22	pre	pre	NOUN
ejge-4329	292	23	and	and	CCONJ
ejge-4329	292	24	post	post	VERB
ejge-4329	292	25	tax	tax	NOUN
ejge-4329	292	26	market	market	NOUN
ejge-4329	292	27	equilibriums	equilibrium	NOUN
ejge-4329	292	28	.	.	PUNCT
ejge-4329	293	1	the	the	DET
ejge-4329	293	2	expression	expression	NOUN
ejge-4329	293	3	for	for	ADP
ejge-4329	293	4	the	the	DET
ejge-4329	293	5	tax	tax	NOUN
ejge-4329	293	6	revenue	revenue	NOUN
ejge-4329	293	7	is	be	AUX
ejge-4329	293	8	as	as	SCONJ
ejge-4329	293	9	follows	follow	VERB
ejge-4329	293	10	:	:	PUNCT
ejge-4329	293	11	[	[	PUNCT
ejge-4329	293	12	]	]	X
ejge-4329	293	13	.)((0)=	.)((0)=	X
ejge-4329	294	1	tpkwttr	tpkwttr	NOUN
ejge-4329	294	2	did	do	VERB
ejge-4329	294	3	−	−	PROPN
ejge-4329	295	1	[	[	X
ejge-4329	295	2	31	31	NUM
ejge-4329	295	3	]	]	PUNCT
ejge-4329	295	4	if	if	SCONJ
ejge-4329	295	5	we	we	PRON
ejge-4329	295	6	want	want	VERB
ejge-4329	295	7	to	to	PART
ejge-4329	295	8	minimize	minimize	VERB
ejge-4329	295	9	the	the	DET
ejge-4329	295	10	efficiency	efficiency	NOUN
ejge-4329	295	11	loss	loss	NOUN
ejge-4329	295	12	subject	subject	ADJ
ejge-4329	295	13	to	to	ADP
ejge-4329	295	14	the	the	DET
ejge-4329	295	15	constraint	constraint	NOUN
ejge-4329	295	16	that	that	PRON
ejge-4329	295	17	tax	tax	NOUN
ejge-4329	295	18	revenue	revenue	NOUN
ejge-4329	295	19	generated	generate	VERB
ejge-4329	295	20	is	be	AUX
ejge-4329	295	21	greater	great	ADJ
ejge-4329	295	22	than	than	ADP
ejge-4329	295	23	or	or	CCONJ
ejge-4329	295	24	equal	equal	ADJ
ejge-4329	295	25	to	to	ADP
ejge-4329	295	26	g	g	NOUN
ejge-4329	295	27	in	in	ADP
ejge-4329	295	28	a	a	DET
ejge-4329	295	29	given	give	VERB
ejge-4329	295	30	time	time	NOUN
ejge-4329	295	31	period	period	NOUN
ejge-4329	295	32	,	,	PUNCT
ejge-4329	295	33	our	our	PRON
ejge-4329	295	34	problem	problem	NOUN
ejge-4329	295	35	is	be	AUX
ejge-4329	295	36	as	as	SCONJ
ejge-4329	295	37	follows	follow	VERB
ejge-4329	295	38	:	:	PUNCT
ejge-4329	295	39	.s.t.min	.s.t.min	PROPN
ejge-4329	295	40	gtrel	gtrel	PROPN
ejge-4329	295	41	t	t	PROPN
ejge-4329	295	42	≥	≥	PRON
ejge-4329	295	43	figure	figure	VERB
ejge-4329	295	44	3	3	NUM
ejge-4329	295	45	.	.	PUNCT
ejge-4329	295	46	dynamic	dynamic	ADJ
ejge-4329	295	47	efficiency	efficiency	NOUN
ejge-4329	295	48	loss	loss	NOUN
ejge-4329	295	49	because	because	SCONJ
ejge-4329	295	50	of	of	ADP
ejge-4329	295	51	a	a	DET
ejge-4329	295	52	quantity	quantity	NOUN
ejge-4329	295	53	tax	tax	NOUN
ejge-4329	295	54	209	209	NUM
ejge-4329	295	55	n.	n.	NOUN
ejge-4329	295	56	nawaz	nawaz	ADJ
ejge-4329	295	57	/	/	SYM
ejge-4329	295	58	european	european	ADJ
ejge-4329	295	59	journal	journal	PROPN
ejge-4329	295	60	of	of	ADP
ejge-4329	295	61	government	government	NOUN
ejge-4329	295	62	and	and	CCONJ
ejge-4329	295	63	economics	economic	NOUN
ejge-4329	295	64	6(2	6(2	NUM
ejge-4329	295	65	)	)	PUNCT
ejge-4329	295	66	,	,	PUNCT
ejge-4329	295	67	191	191	NUM
ejge-4329	295	68	-	-	SYM
ejge-4329	295	69	225	225	NUM
ejge-4329	295	70	the	the	DET
ejge-4329	295	71	choice	choice	NOUN
ejge-4329	295	72	variable	variable	NOUN
ejge-4329	295	73	is	be	AUX
ejge-4329	295	74	the	the	DET
ejge-4329	295	75	tax	tax	NOUN
ejge-4329	295	76	rate	rate	NOUN
ejge-4329	295	77	,	,	PUNCT
ejge-4329	295	78	and	and	CCONJ
ejge-4329	295	79	the	the	DET
ejge-4329	295	80	constraint	constraint	NOUN
ejge-4329	295	81	is	be	AUX
ejge-4329	295	82	binding	bind	VERB
ejge-4329	295	83	.	.	PUNCT
ejge-4329	296	1	the	the	DET
ejge-4329	296	2	lagrangian	lagrangian	NOUN
ejge-4329	296	3	for	for	ADP
ejge-4329	296	4	the	the	DET
ejge-4329	296	5	above	above	ADJ
ejge-4329	296	6	problem	problem	NOUN
ejge-4329	296	7	is	be	AUX
ejge-4329	296	8	as	as	SCONJ
ejge-4329	296	9	follows	follow	VERB
ejge-4329	296	10	:	:	PUNCT
ejge-4329	296	11	[	[	PUNCT
ejge-4329	296	12	]	]	X
ejge-4329	296	13	[	[	PUNCT
ejge-4329	296	14	]	]	X
ejge-4329	296	15	[	[	PUNCT
ejge-4329	296	16	]	]	X
ejge-4329	296	17	)	)	PUNCT
ejge-4329	296	18	(	(	PUNCT
ejge-4329	296	19	(	(	PUNCT
ejge-4329	296	20	0))(1=	0))(1=	X
ejge-4329	296	21	0	0	NUM
ejge-4329	296	22	tpkwtgdttkkttp	tpkwtgdttkkttp	PROPN
ejge-4329	296	23	k	k	PROPN
ejge-4329	296	24	diddm	diddm	PROPN
ejge-4329	296	25	m	m	PROPN
ejge-4329	297	1	−−+−−−	−−+−−−	PROPN
ejge-4329	297	2	∫	∫	PROPN
ejge-4329	298	1	∞	∞	NUM
ejge-4329	298	2	λl	λl	X
ejge-4329	298	3	[	[	PUNCT
ejge-4329	298	4	]	]	X
ejge-4329	298	5	dttk	dttk	PROPN
ejge-4329	299	1	k	k	PROPN
ejge-4329	299	2	te	te	PROPN
ejge-4329	299	3	kkk	kkk	PROPN
ejge-4329	299	4	tk	tk	PROPN
ejge-4329	300	1	kkk	kkk	NOUN
ejge-4329	300	2	tk	tk	PROPN
ejge-4329	301	1	d	d	NOUN
ejge-4329	301	2	m	m	PROPN
ejge-4329	301	3	tdkskmk	tdkskmk	NOUN
ejge-4329	301	4	dsm	dsm	PROPN
ejge-4329	301	5	d	d	PROPN
ejge-4329	301	6	dsm	dsm	PROPN
ejge-4329	301	7	s	s	PART
ejge-4329	301	8			PROPN
ejge-4329	301	9			PROPN
ejge-4329	301	10			PROPN
ejge-4329	301	11			ADJ
ejge-4329	301	12			NOUN
ejge-4329	301	13			NOUN
ejge-4329	301	14	+	+	PROPN
ejge-4329	301	15	+	+	PROPN
ejge-4329	301	16	+	+	NUM
ejge-4329	301	17	−	−	PROPN
ejge-4329	302	1	+	+	CCONJ
ejge-4329	303	1	−	−	PROPN
ejge-4329	303	2	+	+	NOUN
ejge-4329	303	3	−	−	PROPN
ejge-4329	303	4	∞	∞	NUM
ejge-4329	303	5	∫	∫	PROPN
ejge-4329	303	6	)	)	PUNCT
ejge-4329	303	7	(	(	PUNCT
ejge-4329	303	8	0	0	NUM
ejge-4329	303	9	)	)	PUNCT
ejge-4329	303	10	(	(	PUNCT
ejge-4329	303	11	)	)	PUNCT
ejge-4329	303	12	(	(	PUNCT
ejge-4329	303	13	=	=	PUNCT
ejge-4329	303	14	[	[	PUNCT
ejge-4329	303	15	]	]	X
ejge-4329	303	16	.(0	.(0	NUM
ejge-4329	303	17	)	)	PUNCT
ejge-4329	303	18	)	)	PUNCT
ejge-4329	304	1	(	(	PUNCT
ejge-4329	304	2			PROPN
ejge-4329	304	3			PROPN
ejge-4329	304	4			PROPN
ejge-4329	304	5			PROPN
ejge-4329	304	6			ADJ
ejge-4329	304	7			ADJ
ejge-4329	304	8			NUM
ejge-4329	304	9			VERB
ejge-4329	304	10			PROPN
ejge-4329	304	11			PROPN
ejge-4329	304	12			PROPN
ejge-4329	304	13			ADJ
ejge-4329	304	14			NUM
ejge-4329	304	15			PROPN
ejge-4329	304	16			NOUN
ejge-4329	304	17			PROPN
ejge-4329	304	18			PROPN
ejge-4329	304	19			NOUN
ejge-4329	304	20			PRON
ejge-4329	304	21			PROPN
ejge-4329	304	22	+	+	PROPN
ejge-4329	305	1	+	+	PUNCT
ejge-4329	306	1	+	+	CCONJ
ejge-4329	306	2	−−+	−−+	PROPN
ejge-4329	306	3	+	+	ADJ
ejge-4329	306	4	−	−	PROPN
ejge-4329	306	5	tdkskmk	tdkskmk	NOUN
ejge-4329	306	6	ds	ds	PRON
ejge-4329	306	7	d	d	NOUN
ejge-4329	306	8	ds	ds	NOUN
ejge-4329	306	9	s	s	X
ejge-4329	306	10	did	do	AUX
ejge-4329	306	11	e	e	X
ejge-4329	306	12	kk	kk	PROPN
ejge-4329	306	13	tk	tk	PROPN
ejge-4329	306	14	kk	kk	PROPN
ejge-4329	306	15	tkkwtgλ	tkkwtgλ	NOUN
ejge-4329	306	16	taking	take	VERB
ejge-4329	306	17	the	the	DET
ejge-4329	306	18	first	first	ADJ
ejge-4329	306	19	order	order	NOUN
ejge-4329	306	20	condition	condition	NOUN
ejge-4329	306	21	with	with	ADP
ejge-4329	306	22	respect	respect	NOUN
ejge-4329	306	23	to	to	ADP
ejge-4329	306	24	t	t	PROPN
ejge-4329	306	25	,	,	PUNCT
ejge-4329	306	26	we	we	PRON
ejge-4329	306	27	get	get	VERB
ejge-4329	306	28	:	:	PUNCT
ejge-4329	306	29	[	[	PUNCT
ejge-4329	306	30	]	]	X
ejge-4329	306	31	[	[	PUNCT
ejge-4329	306	32	]	]	X
ejge-4329	306	33	.	.	PUNCT
ejge-4329	307	1	2	2	X
ejge-4329	307	2	)	)	PUNCT
ejge-4329	307	3	(	(	PUNCT
ejge-4329	307	4	)	)	PUNCT
ejge-4329	307	5	(	(	PUNCT
ejge-4329	307	6	1(0	1(0	NUM
ejge-4329	307	7	)	)	PUNCT
ejge-4329	307	8	=	=	PUNCT
ejge-4329	307	9	)	)	PUNCT
ejge-4329	307	10	(	(	PUNCT
ejge-4329	307	11	)	)	PUNCT
ejge-4329	307	12	(	(	PUNCT
ejge-4329	307	13	0	0	NUM
ejge-4329	307	14			PROPN
ejge-4329	307	15			PROPN
ejge-4329	307	16			PROPN
ejge-4329	307	17			ADJ
ejge-4329	307	18			NUM
ejge-4329	307	19			NOUN
ejge-4329	307	20	+	+	X
ejge-4329	308	1	+	+	PUNCT
ejge-4329	309	1	+	+	CCONJ
ejge-4329	309	2			PROPN
ejge-4329	309	3			PROPN
ejge-4329	309	4			PROPN
ejge-4329	309	5			ADJ
ejge-4329	309	6			NUM
ejge-4329	309	7			NOUN
ejge-4329	309	8	+	+	CCONJ
ejge-4329	309	9	−	−	PROPN
ejge-4329	309	10	+	+	CCONJ
ejge-4329	309	11	−+−	−+−	PROPN
ejge-4329	309	12	+	+	ADP
ejge-4329	309	13	−	−	PROPN
ejge-4329	309	14	+	+	NOUN
ejge-4329	309	15	−	−	PROPN
ejge-4329	309	16	∞	∞	NUM
ejge-4329	309	17	∫	∫	NOUN
ejge-4329	309	18	tdkskmk	tdkskmk	NOUN
ejge-4329	309	19	ds	ds	PRON
ejge-4329	309	20	d	d	NOUN
ejge-4329	309	21	ds	ds	PROPN
ejge-4329	309	22	s	s	NOUN
ejge-4329	309	23	d	d	NOUN
ejge-4329	309	24	tdkskmk	tdkskmk	NOUN
ejge-4329	309	25	dsm	dsm	PROPN
ejge-4329	309	26	d	d	X
ejge-4329	309	27	dsm	dsm	PROPN
ejge-4329	309	28	s	s	PART
ejge-4329	309	29	m	m	VERB
ejge-4329	309	30	did	do	AUX
ejge-4329	309	31	e	e	X
ejge-4329	309	32	kk	kk	PROPN
ejge-4329	309	33	k	k	PROPN
ejge-4329	309	34	kk	kk	PROPN
ejge-4329	309	35	kk	kk	PROPN
ejge-4329	309	36	dte	dte	PROPN
ejge-4329	310	1	kkk	kkk	PROPN
ejge-4329	310	2	k	k	PROPN
ejge-4329	311	1	kkk	kkk	PROPN
ejge-4329	311	2	k	k	PROPN
ejge-4329	312	1	k	k	PROPN
ejge-4329	312	2	kw	kw	INTJ
ejge-4329	312	3	t	t	PROPN
ejge-4329	312	4	λ	λ	X
ejge-4329	312	5	λ	λ	X
ejge-4329	313	1	[	[	X
ejge-4329	313	2	32	32	NUM
ejge-4329	313	3	]	]	PUNCT
ejge-4329	313	4	taking	take	VERB
ejge-4329	313	5	the	the	DET
ejge-4329	313	6	first	first	ADJ
ejge-4329	313	7	order	order	NOUN
ejge-4329	313	8	condition	condition	NOUN
ejge-4329	313	9	with	with	ADP
ejge-4329	313	10	respect	respect	NOUN
ejge-4329	313	11	to	to	ADP
ejge-4329	313	12	λ	λ	PROPN
ejge-4329	313	13	,	,	PUNCT
ejge-4329	313	14	we	we	PRON
ejge-4329	313	15	get	get	VERB
ejge-4329	313	16	:	:	PUNCT
ejge-4329	313	17	[	[	PUNCT
ejge-4329	313	18	]	]	X
ejge-4329	313	19	0.=(0	0.=(0	NOUN
ejge-4329	313	20	)	)	PUNCT
ejge-4329	313	21	)	)	PUNCT
ejge-4329	314	1	(	(	PUNCT
ejge-4329	314	2			PROPN
ejge-4329	314	3			PROPN
ejge-4329	314	4			PROPN
ejge-4329	314	5			ADJ
ejge-4329	314	6			NUM
ejge-4329	314	7			PROPN
ejge-4329	314	8			NOUN
ejge-4329	314	9			PROPN
ejge-4329	314	10			PROPN
ejge-4329	314	11			NOUN
ejge-4329	314	12			PRON
ejge-4329	314	13			PROPN
ejge-4329	314	14	+	+	PROPN
ejge-4329	314	15	+	+	PUNCT
ejge-4329	315	1	+	+	ADJ
ejge-4329	315	2	−−	−−	NOUN
ejge-4329	315	3	+	+	NOUN
ejge-4329	315	4	−	−	PROPN
ejge-4329	315	5	tdkskmk	tdkskmk	NOUN
ejge-4329	315	6	ds	ds	PRON
ejge-4329	315	7	d	d	NOUN
ejge-4329	315	8	ds	ds	NOUN
ejge-4329	315	9	s	s	X
ejge-4329	315	10	did	do	VERB
ejge-4329	315	11	e	e	X
ejge-4329	315	12	kk	kk	PROPN
ejge-4329	315	13	tk	tk	PROPN
ejge-4329	316	1	kk	kk	INTJ
ejge-4329	316	2	tkkwtg	tkkwtg	PROPN
ejge-4329	317	1	[	[	X
ejge-4329	317	2	33	33	NUM
ejge-4329	317	3	]	]	PUNCT
ejge-4329	317	4	eq	eq	NOUN
ejge-4329	317	5	.	.	PUNCT
ejge-4329	318	1	[	[	X
ejge-4329	318	2	32	32	NUM
ejge-4329	318	3	]	]	PUNCT
ejge-4329	318	4	can	can	AUX
ejge-4329	318	5	also	also	ADV
ejge-4329	318	6	be	be	AUX
ejge-4329	318	7	written	write	VERB
ejge-4329	318	8	as	as	ADP
ejge-4329	318	9	.	.	PROPN
ejge-4329	318	10	2	2	NUM
ejge-4329	318	11	(	(	PUNCT
ejge-4329	318	12	0)=	0)=	NUM
ejge-4329	318	13	q	q	PROPN
ejge-4329	318	14	jwt	jwt	PROPN
ejge-4329	319	1	i	i	PROPN
ejge-4329	319	2	d	d	PROPN
ejge-4329	319	3	λ	λ	PROPN
ejge-4329	319	4	λ	λ	X
ejge-4329	319	5	−	−	PROPN
ejge-4329	320	1	[	[	X
ejge-4329	320	2	34	34	NUM
ejge-4329	320	3	]	]	PUNCT
ejge-4329	320	4	substituting	substitute	VERB
ejge-4329	320	5	the	the	DET
ejge-4329	320	6	value	value	NOUN
ejge-4329	320	7	of	of	ADP
ejge-4329	320	8	λ	λ	PROPN
ejge-4329	320	9	into	into	ADP
ejge-4329	320	10	eq	eq	NOUN
ejge-4329	320	11	.	.	PUNCT
ejge-4329	321	1	[	[	X
ejge-4329	321	2	34	34	NUM
ejge-4329	321	3	]	]	PUNCT
ejge-4329	321	4	,	,	PUNCT
ejge-4329	321	5	we	we	PRON
ejge-4329	321	6	obtain	obtain	VERB
ejge-4329	321	7	.	.	PUNCT
ejge-4329	322	1	2	2	NUM
ejge-4329	322	2	4(0)(0	4(0)(0	NUM
ejge-4329	322	3	)	)	PUNCT
ejge-4329	323	1	=)	=)	PROPN
ejge-4329	323	2	(	(	PUNCT
ejge-4329	323	3	2	2	NUM
ejge-4329	323	4	q	q	NOUN
ejge-4329	323	5	qgww	qgww	VERB
ejge-4329	323	6	tt	tt	PROPN
ejge-4329	323	7	idid	idid	VERB
ejge-4329	323	8	−−	−−	NOUN
ejge-4329	323	9	[	[	X
ejge-4329	323	10	35	35	NUM
ejge-4329	323	11	]	]	X
ejge-4329	323	12	a	a	DET
ejge-4329	323	13	negative	negative	ADJ
ejge-4329	323	14	optimal	optimal	ADJ
ejge-4329	323	15	tax	tax	NOUN
ejge-4329	323	16	is	be	AUX
ejge-4329	323	17	an	an	DET
ejge-4329	323	18	optimal	optimal	ADJ
ejge-4329	323	19	subsidy	subsidy	NOUN
ejge-4329	323	20	.	.	PUNCT
ejge-4329	324	1	the	the	DET
ejge-4329	324	2	second	second	ADJ
ejge-4329	324	3	order	order	NOUN
ejge-4329	324	4	condition	condition	NOUN
ejge-4329	324	5	for	for	ADP
ejge-4329	324	6	minimization	minimization	NOUN
ejge-4329	324	7	has	have	AUX
ejge-4329	324	8	been	be	AUX
ejge-4329	324	9	checked	check	VERB
ejge-4329	324	10	(	(	PUNCT
ejge-4329	324	11	see	see	VERB
ejge-4329	324	12	appendix	appendix	NOUN
ejge-4329	324	13	)	)	PUNCT
ejge-4329	324	14	.	.	PUNCT
ejge-4329	325	1	suppose	suppose	VERB
ejge-4329	325	2	that	that	SCONJ
ejge-4329	325	3	the	the	DET
ejge-4329	325	4	government	government	NOUN
ejge-4329	325	5	wants	want	VERB
ejge-4329	325	6	to	to	PART
ejge-4329	325	7	generate	generate	VERB
ejge-4329	325	8	a	a	DET
ejge-4329	325	9	revenue	revenue	NOUN
ejge-4329	325	10	of	of	ADP
ejge-4329	325	11	$	$	SYM
ejge-4329	325	12	1000	1000	NUM
ejge-4329	325	13	by	by	ADP
ejge-4329	325	14	imposing	impose	VERB
ejge-4329	325	15	tax	tax	NOUN
ejge-4329	325	16	on	on	ADP
ejge-4329	325	17	a	a	DET
ejge-4329	325	18	certain	certain	ADJ
ejge-4329	325	19	good	good	NOUN
ejge-4329	325	20	.	.	PUNCT
ejge-4329	326	1	the	the	DET
ejge-4329	326	2	initial	initial	ADJ
ejge-4329	326	3	equilibrium	equilibrium	NOUN
ejge-4329	326	4	quantity	quantity	NOUN
ejge-4329	326	5	of	of	ADP
ejge-4329	326	6	that	that	DET
ejge-4329	326	7	good	good	ADJ
ejge-4329	326	8	is	be	AUX
ejge-4329	326	9	100	100	NUM
ejge-4329	326	10	,	,	PUNCT
ejge-4329	326	11	and	and	CCONJ
ejge-4329	326	12	the	the	DET
ejge-4329	326	13	value	value	NOUN
ejge-4329	326	14	of	of	ADP
ejge-4329	326	15	each	each	DET
ejge-4329	326	16	one	one	NUM
ejge-4329	326	17	of	of	ADP
ejge-4329	326	18	,	,	PUNCT
ejge-4329	326	19	mk	mk	PROPN
ejge-4329	326	20	sk	sk	NOUN
ejge-4329	326	21	and	and	CCONJ
ejge-4329	326	22	dk	dk	PROPN
ejge-4329	326	23	is	be	AUX
ejge-4329	326	24	equal	equal	ADJ
ejge-4329	326	25	to	to	ADP
ejge-4329	326	26	one	one	NUM
ejge-4329	326	27	.	.	PUNCT
ejge-4329	327	1	substituting	substitute	VERB
ejge-4329	327	2	these	these	DET
ejge-4329	327	3	values	value	NOUN
ejge-4329	327	4	in	in	ADP
ejge-4329	327	5	eq	eq	ADP
ejge-4329	327	6	.	.	PUNCT
ejge-4329	328	1	[	[	X
ejge-4329	328	2	35	35	NUM
ejge-4329	328	3	]	]	PUNCT
ejge-4329	328	4	yields	yield	VERB
ejge-4329	328	5	11.27,=	11.27,=	NUM
ejge-4329	328	6	2	2	NUM
ejge-4329	328	7	400010000100=(0	400010000100=(0	NUM
ejge-4329	328	8	)	)	PUNCT
ejge-4329	328	9	−−t	−−t	NOUN
ejge-4329	329	1	where	where	SCONJ
ejge-4329	329	2	,	,	PUNCT
ejge-4329	329	3	0.50.5=	0.50.5=	NUM
ejge-4329	329	4	2teq	2teq	PROPN
ejge-4329	329	5	−+	−+	PROPN
ejge-4329	329	6	and	and	CCONJ
ejge-4329	329	7	at	at	ADP
ejge-4329	329	8	0,=t	0,=t	PROPN
ejge-4329	329	9	1	1	NUM
ejge-4329	330	1	=	=	NOUN
ejge-4329	330	2	q	q	NOUN
ejge-4329	330	3	.	.	PUNCT
ejge-4329	331	1	the	the	DET
ejge-4329	331	2	tax	tax	NOUN
ejge-4329	331	3	revenue	revenue	NOUN
ejge-4329	331	4	generated	generate	VERB
ejge-4329	331	5	is	be	AUX
ejge-4329	331	6	210	210	NUM
ejge-4329	331	7	n.	n.	NOUN
ejge-4329	331	8	nawaz	nawaz	ADJ
ejge-4329	331	9	/	/	SYM
ejge-4329	331	10	european	european	ADJ
ejge-4329	331	11	journal	journal	PROPN
ejge-4329	331	12	of	of	ADP
ejge-4329	331	13	government	government	NOUN
ejge-4329	331	14	and	and	CCONJ
ejge-4329	331	15	economics	economic	NOUN
ejge-4329	331	16	6(2	6(2	NUM
ejge-4329	331	17	)	)	PUNCT
ejge-4329	331	18	,	,	PUNCT
ejge-4329	331	19	191	191	NUM
ejge-4329	331	20	-	-	SYM
ejge-4329	331	21	225	225	NUM
ejge-4329	331	22	[	[	PUNCT
ejge-4329	331	23	]	]	PUNCT
ejge-4329	331	24	1000.=(0)=	1000.=(0)=	NUM
ejge-4329	331	25	qtwttr	qtwttr	X
ejge-4329	331	26	i	i	PROPN
ejge-4329	331	27	d	d	PROPN
ejge-4329	331	28	−	−	PROPN
ejge-4329	331	29	now	now	ADV
ejge-4329	331	30	when	when	SCONJ
ejge-4329	331	31	,	,	PUNCT
ejge-4329	331	32	=	=	SYM
ejge-4329	331	33	∞t	∞t	NOUN
ejge-4329	331	34	0.5	0.5	NUM
ejge-4329	331	35	=	=	NOUN
ejge-4329	331	36	q	q	NOUN
ejge-4329	331	37	.	.	PUNCT
ejge-4329	332	1	this	this	PRON
ejge-4329	332	2	implies	imply	VERB
ejge-4329	332	3	that	that	SCONJ
ejge-4329	332	4	10.56.=	10.56.=	PROPN
ejge-4329	332	5	1	1	NUM
ejge-4329	332	6	200010000100=	200010000100=	PROPN
ejge-4329	332	7	)	)	PUNCT
ejge-4329	332	8	(	(	PUNCT
ejge-4329	332	9	−−	−−	NOUN
ejge-4329	332	10	∞t	∞t	NOUN
ejge-4329	332	11	the	the	DET
ejge-4329	332	12	tax	tax	NOUN
ejge-4329	332	13	revenue	revenue	NOUN
ejge-4329	332	14	is	be	AUX
ejge-4329	332	15	again	again	ADV
ejge-4329	332	16	1000	1000	NUM
ejge-4329	332	17	as	as	SCONJ
ejge-4329	332	18	desired	desire	VERB
ejge-4329	332	19	.	.	PUNCT
ejge-4329	333	1	therefore	therefore	ADV
ejge-4329	333	2	the	the	DET
ejge-4329	333	3	optimal	optimal	ADJ
ejge-4329	333	4	quantity	quantity	NOUN
ejge-4329	333	5	taxation	taxation	NOUN
ejge-4329	333	6	is	be	AUX
ejge-4329	333	7	that	that	SCONJ
ejge-4329	333	8	the	the	DET
ejge-4329	333	9	government	government	NOUN
ejge-4329	333	10	should	should	AUX
ejge-4329	333	11	impose	impose	VERB
ejge-4329	333	12	a	a	DET
ejge-4329	333	13	tax	tax	NOUN
ejge-4329	333	14	rate	rate	NOUN
ejge-4329	333	15	of	of	ADP
ejge-4329	333	16	$	$	SYM
ejge-4329	333	17	11.27	11.27	NUM
ejge-4329	333	18	per	per	ADP
ejge-4329	333	19	unit	unit	NOUN
ejge-4329	333	20	quantity	quantity	NOUN
ejge-4329	333	21	initially	initially	ADV
ejge-4329	333	22	and	and	CCONJ
ejge-4329	333	23	then	then	ADV
ejge-4329	333	24	gradually	gradually	ADV
ejge-4329	333	25	decrease	decrease	VERB
ejge-4329	333	26	the	the	DET
ejge-4329	333	27	tax	tax	NOUN
ejge-4329	333	28	rate	rate	NOUN
ejge-4329	333	29	over	over	ADP
ejge-4329	333	30	time	time	NOUN
ejge-4329	333	31	up	up	ADP
ejge-4329	333	32	to	to	ADP
ejge-4329	333	33	a	a	DET
ejge-4329	333	34	final	final	ADJ
ejge-4329	333	35	tax	tax	NOUN
ejge-4329	333	36	rate	rate	NOUN
ejge-4329	333	37	of	of	ADP
ejge-4329	333	38	$	$	SYM
ejge-4329	333	39	10.56	10.56	NUM
ejge-4329	333	40	per	per	ADP
ejge-4329	333	41	unit	unit	NOUN
ejge-4329	333	42	quantity	quantity	NOUN
ejge-4329	333	43	of	of	ADP
ejge-4329	333	44	the	the	DET
ejge-4329	333	45	same	same	ADJ
ejge-4329	333	46	good	good	NOUN
ejge-4329	333	47	.	.	PUNCT
ejge-4329	334	1	5	5	X
ejge-4329	334	2	.	.	X
ejge-4329	334	3	conclusions	conclusion	NOUN
ejge-4329	334	4	when	when	SCONJ
ejge-4329	334	5	a	a	DET
ejge-4329	334	6	government	government	NOUN
ejge-4329	334	7	imposes	impose	VERB
ejge-4329	334	8	a	a	DET
ejge-4329	334	9	quantity/	quantity/	NUM
ejge-4329	334	10	commodity	commodity	NOUN
ejge-4329	334	11	tax	tax	NOUN
ejge-4329	334	12	on	on	ADP
ejge-4329	334	13	the	the	DET
ejge-4329	334	14	consumer	consumer	NOUN
ejge-4329	334	15	,	,	PUNCT
ejge-4329	334	16	the	the	DET
ejge-4329	334	17	price	price	NOUN
ejge-4329	334	18	jumps	jump	VERB
ejge-4329	334	19	to	to	ADP
ejge-4329	334	20	the	the	DET
ejge-4329	334	21	pre	pre	ADJ
ejge-4329	334	22	tax	tax	NOUN
ejge-4329	334	23	equilibrium	equilibrium	NOUN
ejge-4329	334	24	price	price	NOUN
ejge-4329	334	25	plus	plus	CCONJ
ejge-4329	334	26	the	the	DET
ejge-4329	334	27	amount	amount	NOUN
ejge-4329	334	28	of	of	ADP
ejge-4329	334	29	the	the	DET
ejge-4329	334	30	tax	tax	NOUN
ejge-4329	334	31	.	.	PUNCT
ejge-4329	335	1	the	the	DET
ejge-4329	335	2	demand	demand	NOUN
ejge-4329	335	3	and	and	CCONJ
ejge-4329	335	4	supply	supply	NOUN
ejge-4329	335	5	adjust	adjust	VERB
ejge-4329	335	6	over	over	ADP
ejge-4329	335	7	time	time	NOUN
ejge-4329	335	8	to	to	PART
ejge-4329	335	9	bring	bring	VERB
ejge-4329	335	10	the	the	DET
ejge-4329	335	11	new	new	ADJ
ejge-4329	335	12	post	post	NOUN
ejge-4329	335	13	tax	tax	NOUN
ejge-4329	335	14	equilibrium	equilibrium	NOUN
ejge-4329	335	15	.	.	PUNCT
ejge-4329	336	1	as	as	ADP
ejge-4329	336	2	a	a	DET
ejge-4329	336	3	result	result	NOUN
ejge-4329	336	4	of	of	ADP
ejge-4329	336	5	a	a	DET
ejge-4329	336	6	tax	tax	NOUN
ejge-4329	336	7	,	,	PUNCT
ejge-4329	336	8	there	there	PRON
ejge-4329	336	9	are	be	VERB
ejge-4329	336	10	efficiency	efficiency	NOUN
ejge-4329	336	11	losses	loss	NOUN
ejge-4329	336	12	during	during	ADP
ejge-4329	336	13	the	the	DET
ejge-4329	336	14	adjustment	adjustment	NOUN
ejge-4329	336	15	process	process	NOUN
ejge-4329	336	16	as	as	ADV
ejge-4329	336	17	well	well	ADV
ejge-4329	336	18	as	as	ADP
ejge-4329	336	19	the	the	DET
ejge-4329	336	20	new	new	ADJ
ejge-4329	336	21	post	post	NOUN
ejge-4329	336	22	tax	tax	NOUN
ejge-4329	336	23	equilibrium	equilibrium	NOUN
ejge-4329	336	24	as	as	ADP
ejge-4329	336	25	compared	compare	VERB
ejge-4329	336	26	to	to	ADP
ejge-4329	336	27	the	the	DET
ejge-4329	336	28	pre	pre	ADJ
ejge-4329	336	29	-	-	ADJ
ejge-4329	336	30	tax	tax	ADJ
ejge-4329	336	31	efficient	efficient	ADJ
ejge-4329	336	32	equilibrium	equilibrium	NOUN
ejge-4329	336	33	.	.	PUNCT
ejge-4329	337	1	it	it	PRON
ejge-4329	337	2	is	be	AUX
ejge-4329	337	3	important	important	ADJ
ejge-4329	337	4	to	to	PART
ejge-4329	337	5	take	take	VERB
ejge-4329	337	6	into	into	ADP
ejge-4329	337	7	consideration	consideration	NOUN
ejge-4329	337	8	the	the	DET
ejge-4329	337	9	efficiency	efficiency	NOUN
ejge-4329	337	10	losses	loss	NOUN
ejge-4329	337	11	during	during	ADP
ejge-4329	337	12	the	the	DET
ejge-4329	337	13	adjustment	adjustment	NOUN
ejge-4329	337	14	process	process	NOUN
ejge-4329	337	15	as	as	ADV
ejge-4329	337	16	well	well	ADV
ejge-4329	337	17	while	while	SCONJ
ejge-4329	337	18	deriving	derive	VERB
ejge-4329	337	19	an	an	DET
ejge-4329	337	20	optimal	optimal	ADJ
ejge-4329	337	21	tax	tax	NOUN
ejge-4329	337	22	schedule	schedule	NOUN
ejge-4329	337	23	.	.	PUNCT
ejge-4329	338	1	eq	eq	ADJ
ejge-4329	338	2	.	.	PUNCT
ejge-4329	339	1	(	(	PUNCT
ejge-4329	339	2	35	35	NUM
ejge-4329	339	3	)	)	PUNCT
ejge-4329	339	4	gives	give	VERB
ejge-4329	339	5	an	an	DET
ejge-4329	339	6	optimal	optimal	ADJ
ejge-4329	339	7	quantity	quantity	NOUN
ejge-4329	339	8	tax	tax	NOUN
ejge-4329	339	9	path	path	NOUN
ejge-4329	339	10	over	over	ADP
ejge-4329	339	11	time	time	NOUN
ejge-4329	339	12	which	which	PRON
ejge-4329	339	13	generates	generate	VERB
ejge-4329	339	14	the	the	DET
ejge-4329	339	15	same	same	ADJ
ejge-4329	339	16	desired	desire	VERB
ejge-4329	339	17	revenue	revenue	NOUN
ejge-4329	339	18	at	at	ADP
ejge-4329	339	19	any	any	DET
ejge-4329	339	20	given	give	VERB
ejge-4329	339	21	point	point	NOUN
ejge-4329	339	22	in	in	ADP
ejge-4329	339	23	time	time	NOUN
ejge-4329	339	24	considering	consider	VERB
ejge-4329	339	25	the	the	DET
ejge-4329	339	26	adjustment	adjustment	NOUN
ejge-4329	339	27	of	of	ADP
ejge-4329	339	28	demand	demand	NOUN
ejge-4329	339	29	and	and	CCONJ
ejge-4329	339	30	supply	supply	NOUN
ejge-4329	339	31	over	over	ADP
ejge-4329	339	32	time	time	NOUN
ejge-4329	339	33	.	.	PUNCT
ejge-4329	340	1	the	the	DET
ejge-4329	340	2	expression	expression	NOUN
ejge-4329	340	3	is	be	AUX
ejge-4329	340	4	a	a	DET
ejge-4329	340	5	function	function	NOUN
ejge-4329	340	6	of	of	ADP
ejge-4329	340	7	the	the	DET
ejge-4329	340	8	slopes	slope	NOUN
ejge-4329	340	9	of	of	ADP
ejge-4329	340	10	the	the	DET
ejge-4329	340	11	demand	demand	NOUN
ejge-4329	340	12	,	,	PUNCT
ejge-4329	340	13	supply	supply	NOUN
ejge-4329	340	14	and	and	CCONJ
ejge-4329	340	15	the	the	DET
ejge-4329	340	16	inventory	inventory	NOUN
ejge-4329	340	17	curves	curve	NOUN
ejge-4329	340	18	,	,	PUNCT
ejge-4329	340	19	and	and	CCONJ
ejge-4329	340	20	the	the	DET
ejge-4329	340	21	initial	initial	ADJ
ejge-4329	340	22	pre	pre	ADJ
ejge-4329	340	23	-	-	ADJ
ejge-4329	340	24	tax	tax	ADJ
ejge-4329	340	25	equilibrium	equilibrium	NOUN
ejge-4329	340	26	quantity	quantity	NOUN
ejge-4329	340	27	.	.	PUNCT
ejge-4329	341	1	the	the	DET
ejge-4329	341	2	expression	expression	NOUN
ejge-4329	341	3	is	be	AUX
ejge-4329	341	4	much	much	ADV
ejge-4329	341	5	more	more	ADV
ejge-4329	341	6	complex	complex	ADJ
ejge-4329	341	7	as	as	SCONJ
ejge-4329	341	8	compared	compare	VERB
ejge-4329	341	9	to	to	ADP
ejge-4329	341	10	the	the	DET
ejge-4329	341	11	optimal	optimal	ADJ
ejge-4329	341	12	tax	tax	NOUN
ejge-4329	341	13	expression	expression	NOUN
ejge-4329	341	14	of	of	ADP
ejge-4329	341	15	ramsey	ramsey	PROPN
ejge-4329	341	16	,	,	PUNCT
ejge-4329	341	17	where	where	SCONJ
ejge-4329	341	18	he	he	PRON
ejge-4329	341	19	takes	take	VERB
ejge-4329	341	20	into	into	ADP
ejge-4329	341	21	account	account	NOUN
ejge-4329	341	22	the	the	DET
ejge-4329	341	23	efficiency	efficiency	NOUN
ejge-4329	341	24	losses	loss	NOUN
ejge-4329	341	25	just	just	ADV
ejge-4329	341	26	in	in	ADP
ejge-4329	341	27	the	the	DET
ejge-4329	341	28	final	final	ADJ
ejge-4329	341	29	equilibrium	equilibrium	NOUN
ejge-4329	341	30	.	.	PUNCT
ejge-4329	342	1	regarding	regard	VERB
ejge-4329	342	2	further	further	ADJ
ejge-4329	342	3	research	research	NOUN
ejge-4329	342	4	,	,	PUNCT
ejge-4329	342	5	a	a	DET
ejge-4329	342	6	complete	complete	ADJ
ejge-4329	342	7	dynamic	dynamic	ADJ
ejge-4329	342	8	welfare	welfare	NOUN
ejge-4329	342	9	analysis	analysis	NOUN
ejge-4329	342	10	against	against	ADP
ejge-4329	342	11	various	various	ADJ
ejge-4329	342	12	governmental	governmental	ADJ
ejge-4329	342	13	policies	policy	NOUN
ejge-4329	342	14	,	,	PUNCT
ejge-4329	342	15	such	such	ADJ
ejge-4329	342	16	as	as	ADP
ejge-4329	342	17	value	value	NOUN
ejge-4329	342	18	added	add	VERB
ejge-4329	342	19	tax	tax	NOUN
ejge-4329	342	20	,	,	PUNCT
ejge-4329	342	21	income	income	NOUN
ejge-4329	342	22	tax	tax	NOUN
ejge-4329	342	23	,	,	PUNCT
ejge-4329	342	24	toll	toll	NOUN
ejge-4329	342	25	tax	tax	NOUN
ejge-4329	342	26	,	,	PUNCT
ejge-4329	342	27	corporate	corporate	ADJ
ejge-4329	342	28	tax	tax	NOUN
ejge-4329	342	29	,	,	PUNCT
ejge-4329	342	30	environmental	environmental	ADJ
ejge-4329	342	31	tax	tax	NOUN
ejge-4329	342	32	,	,	PUNCT
ejge-4329	342	33	etc	etc	X
ejge-4329	342	34	.	.	X
ejge-4329	342	35	can	can	AUX
ejge-4329	342	36	be	be	AUX
ejge-4329	342	37	carried	carry	VERB
ejge-4329	342	38	out	out	ADP
ejge-4329	342	39	and	and	CCONJ
ejge-4329	342	40	the	the	DET
ejge-4329	342	41	optimal	optimal	ADJ
ejge-4329	342	42	governmental	governmental	ADJ
ejge-4329	342	43	policy	policy	NOUN
ejge-4329	342	44	instruments	instrument	NOUN
ejge-4329	342	45	can	can	AUX
ejge-4329	342	46	be	be	AUX
ejge-4329	342	47	derived	derive	VERB
ejge-4329	342	48	following	follow	VERB
ejge-4329	342	49	the	the	DET
ejge-4329	342	50	methodology	methodology	NOUN
ejge-4329	342	51	developed	develop	VERB
ejge-4329	342	52	in	in	ADP
ejge-4329	342	53	this	this	DET
ejge-4329	342	54	paper	paper	NOUN
ejge-4329	342	55	.	.	PUNCT
ejge-4329	343	1	acknowledgements	acknowledgement	NOUN
ejge-4329	343	2	i	i	PRON
ejge-4329	343	3	am	be	AUX
ejge-4329	343	4	grateful	grateful	ADJ
ejge-4329	343	5	to	to	ADP
ejge-4329	343	6	two	two	NUM
ejge-4329	343	7	anonymous	anonymous	ADJ
ejge-4329	343	8	referees	referee	NOUN
ejge-4329	343	9	for	for	ADP
ejge-4329	343	10	their	their	PRON
ejge-4329	343	11	valuable	valuable	ADJ
ejge-4329	343	12	comments	comment	NOUN
ejge-4329	343	13	and	and	CCONJ
ejge-4329	343	14	suggestions	suggestion	NOUN
ejge-4329	343	15	.	.	PUNCT
ejge-4329	344	1	references	reference	NOUN
ejge-4329	344	2	atkinson	atkinson	PROPN
ejge-4329	344	3	,	,	PUNCT
ejge-4329	344	4	a.	a.	PROPN
ejge-4329	344	5	b.	b.	PROPN
ejge-4329	344	6	and	and	CCONJ
ejge-4329	344	7	stiglitz	stiglitz	PROPN
ejge-4329	344	8	,	,	PUNCT
ejge-4329	344	9	j.	j.	PROPN
ejge-4329	344	10	e.	e.	PROPN
ejge-4329	344	11	:	:	PUNCT
ejge-4329	344	12	(	(	PUNCT
ejge-4329	344	13	1976	1976	NUM
ejge-4329	344	14	)	)	PUNCT
ejge-4329	344	15	.	.	PUNCT
ejge-4329	345	1	the	the	DET
ejge-4329	345	2	design	design	NOUN
ejge-4329	345	3	of	of	ADP
ejge-4329	345	4	tax	tax	NOUN
ejge-4329	345	5	structure	structure	NOUN
ejge-4329	345	6	:	:	PUNCT
ejge-4329	345	7	direct	direct	ADJ
ejge-4329	345	8	versus	versus	ADP
ejge-4329	345	9	indirect	indirect	ADJ
ejge-4329	345	10	taxation	taxation	NOUN
ejge-4329	345	11	,	,	PUNCT
ejge-4329	345	12	journal	journal	NOUN
ejge-4329	345	13	of	of	ADP
ejge-4329	345	14	public	public	ADJ
ejge-4329	345	15	economics	economic	NOUN
ejge-4329	345	16	6(1	6(1	NUM
ejge-4329	345	17	)	)	PUNCT
ejge-4329	345	18	,	,	PUNCT
ejge-4329	345	19	55	55	NUM
ejge-4329	345	20	-	-	SYM
ejge-4329	345	21	75	75	NUM
ejge-4329	345	22	.	.	PUNCT
ejge-4329	346	1	https://doi.org/10.1016/00472727(76)90041-4	https://doi.org/10.1016/00472727(76)90041-4	NUM
ejge-4329	346	2	chamley	chamley	PROPN
ejge-4329	346	3	,	,	PUNCT
ejge-4329	346	4	c.	c.	PROPN
ejge-4329	346	5	:	:	PUNCT
ejge-4329	346	6	(	(	PUNCT
ejge-4329	346	7	1986	1986	NUM
ejge-4329	346	8	)	)	PUNCT
ejge-4329	346	9	.	.	PUNCT
ejge-4329	347	1	optimal	optimal	ADJ
ejge-4329	347	2	taxation	taxation	NOUN
ejge-4329	347	3	of	of	ADP
ejge-4329	347	4	capital	capital	NOUN
ejge-4329	347	5	income	income	NOUN
ejge-4329	347	6	in	in	ADP
ejge-4329	347	7	general	general	ADJ
ejge-4329	347	8	equilibrium	equilibrium	NOUN
ejge-4329	347	9	with	with	ADP
ejge-4329	347	10	infinite	infinite	ADJ
ejge-4329	347	11	lives	life	NOUN
ejge-4329	347	12	,	,	PUNCT
ejge-4329	347	13	econometrica	econometrica	PROPN
ejge-4329	347	14	,	,	PUNCT
ejge-4329	347	15	54(3	54(3	NUM
ejge-4329	347	16	)	)	PUNCT
ejge-4329	347	17	,	,	PUNCT
ejge-4329	347	18	607	607	NUM
ejge-4329	347	19	-	-	SYM
ejge-4329	347	20	622	622	NUM
ejge-4329	347	21	.	.	PUNCT
ejge-4329	348	1	https://doi.org/10.2307/1911310	https://doi.org/10.2307/1911310	NOUN
ejge-4329	348	2	211	211	NUM
ejge-4329	348	3	n.	n.	NOUN
ejge-4329	348	4	nawaz	nawaz	PROPN
ejge-4329	348	5	/	/	SYM
ejge-4329	348	6	european	european	ADJ
ejge-4329	348	7	journal	journal	PROPN
ejge-4329	348	8	of	of	ADP
ejge-4329	348	9	government	government	NOUN
ejge-4329	348	10	and	and	CCONJ
ejge-4329	348	11	economics	economic	NOUN
ejge-4329	348	12	6(2	6(2	NUM
ejge-4329	348	13	)	)	PUNCT
ejge-4329	348	14	,	,	PUNCT
ejge-4329	348	15	191	191	NUM
ejge-4329	348	16	-	-	SYM
ejge-4329	348	17	225	225	NUM
ejge-4329	348	18	chari	chari	NOUN
ejge-4329	348	19	,	,	PUNCT
ejge-4329	348	20	v.	v.	PROPN
ejge-4329	348	21	v.	v.	ADP
ejge-4329	348	22	,	,	PUNCT
ejge-4329	348	23	christiano	christiano	PROPN
ejge-4329	348	24	,	,	PUNCT
ejge-4329	348	25	l.	l.	PROPN
ejge-4329	348	26	j.	j.	PROPN
ejge-4329	348	27	and	and	CCONJ
ejge-4329	348	28	kehoe	kehoe	PROPN
ejge-4329	348	29	,	,	PUNCT
ejge-4329	348	30	p.	p.	PROPN
ejge-4329	348	31	j.	j.	PROPN
ejge-4329	348	32	:	:	PUNCT
ejge-4329	348	33	(	(	PUNCT
ejge-4329	348	34	1994	1994	NUM
ejge-4329	348	35	)	)	PUNCT
ejge-4329	348	36	.	.	PUNCT
ejge-4329	349	1	optimal	optimal	ADJ
ejge-4329	349	2	fiscal	fiscal	ADJ
ejge-4329	349	3	policy	policy	NOUN
ejge-4329	349	4	in	in	ADP
ejge-4329	349	5	a	a	DET
ejge-4329	349	6	business	business	NOUN
ejge-4329	349	7	cycle	cycle	NOUN
ejge-4329	349	8	model	model	NOUN
ejge-4329	349	9	,	,	PUNCT
ejge-4329	349	10	journal	journal	NOUN
ejge-4329	349	11	of	of	ADP
ejge-4329	349	12	political	political	ADJ
ejge-4329	349	13	economy	economy	NOUN
ejge-4329	349	14	102(4	102(4	NUM
ejge-4329	349	15	)	)	PUNCT
ejge-4329	349	16	,	,	PUNCT
ejge-4329	349	17	617	617	NUM
ejge-4329	349	18	-	-	SYM
ejge-4329	349	19	652	652	NUM
ejge-4329	349	20	.	.	PUNCT
ejge-4329	350	1	https://doi.org/10.1086/261949	https://doi.org/10.1086/261949	PROPN
ejge-4329	350	2	coleman	coleman	PROPN
ejge-4329	350	3	,	,	PUNCT
ejge-4329	350	4	w.	w.	PROPN
ejge-4329	350	5	j.	j.	PROPN
ejge-4329	350	6	(	(	PUNCT
ejge-4329	350	7	2000	2000	NUM
ejge-4329	350	8	)	)	PUNCT
ejge-4329	350	9	.	.	PUNCT
ejge-4329	351	1	welfare	welfare	NOUN
ejge-4329	351	2	and	and	CCONJ
ejge-4329	351	3	optimum	optimum	ADJ
ejge-4329	351	4	dynamic	dynamic	ADJ
ejge-4329	351	5	taxation	taxation	NOUN
ejge-4329	351	6	of	of	ADP
ejge-4329	351	7	consumption	consumption	NOUN
ejge-4329	351	8	and	and	CCONJ
ejge-4329	351	9	income	income	NOUN
ejge-4329	351	10	,	,	PUNCT
ejge-4329	351	11	journal	journal	NOUN
ejge-4329	351	12	of	of	ADP
ejge-4329	351	13	public	public	ADJ
ejge-4329	351	14	economics	economic	NOUN
ejge-4329	351	15	,	,	PUNCT
ejge-4329	351	16	76(1	76(1	NOUN
ejge-4329	351	17	)	)	PUNCT
ejge-4329	351	18	,	,	PUNCT
ejge-4329	351	19	1	1	NUM
ejge-4329	351	20	-	-	SYM
ejge-4329	351	21	39	39	NUM
ejge-4329	351	22	.	.	PUNCT
ejge-4329	352	1	https://doi.org/10.1016/s0047-2727(99)00043-2	https://doi.org/10.1016/s0047-2727(99)00043-2	PROPN
ejge-4329	352	2	cremer	cremer	PROPN
ejge-4329	352	3	,	,	PUNCT
ejge-4329	352	4	h.	h.	PROPN
ejge-4329	352	5	and	and	CCONJ
ejge-4329	352	6	gahvari	gahvari	PROPN
ejge-4329	352	7	,	,	PUNCT
ejge-4329	352	8	f.	f.	PROPN
ejge-4329	352	9	:	:	PUNCT
ejge-4329	352	10	(	(	PUNCT
ejge-4329	352	11	1993	1993	NUM
ejge-4329	352	12	)	)	PUNCT
ejge-4329	352	13	.	.	PUNCT
ejge-4329	353	1	tax	tax	NOUN
ejge-4329	353	2	evasion	evasion	NOUN
ejge-4329	353	3	and	and	CCONJ
ejge-4329	353	4	optimal	optimal	ADJ
ejge-4329	353	5	commodity	commodity	NOUN
ejge-4329	353	6	taxation	taxation	NOUN
ejge-4329	353	7	,	,	PUNCT
ejge-4329	353	8	journal	journal	NOUN
ejge-4329	353	9	of	of	ADP
ejge-4329	353	10	public	public	ADJ
ejge-4329	353	11	economics	economic	NOUN
ejge-4329	353	12	,	,	PUNCT
ejge-4329	353	13	50(2	50(2	NUM
ejge-4329	353	14	)	)	PUNCT
ejge-4329	353	15	,	,	PUNCT
ejge-4329	353	16	261	261	NUM
ejge-4329	353	17	-	-	SYM
ejge-4329	353	18	275	275	NUM
ejge-4329	353	19	.	.	PUNCT
ejge-4329	354	1	https://doi.org/10.1016/0047-2727(93)90052-u	https://doi.org/10.1016/0047-2727(93)90052-u	NOUN
ejge-4329	354	2	cremer	cremer	NOUN
ejge-4329	354	3	,	,	PUNCT
ejge-4329	354	4	h.	h.	PROPN
ejge-4329	354	5	and	and	CCONJ
ejge-4329	354	6	gahvari	gahvari	PROPN
ejge-4329	354	7	,	,	PUNCT
ejge-4329	354	8	f.	f.	PROPN
ejge-4329	354	9	(	(	PUNCT
ejge-4329	354	10	1995	1995	NUM
ejge-4329	354	11	)	)	PUNCT
ejge-4329	354	12	.	.	PUNCT
ejge-4329	355	1	uncertainty	uncertainty	NOUN
ejge-4329	355	2	and	and	CCONJ
ejge-4329	355	3	optimal	optimal	ADJ
ejge-4329	355	4	taxation	taxation	NOUN
ejge-4329	355	5	:	:	PUNCT
ejge-4329	355	6	in	in	ADP
ejge-4329	355	7	defense	defense	NOUN
ejge-4329	355	8	of	of	ADP
ejge-4329	355	9	commodity	commodity	NOUN
ejge-4329	355	10	taxes	taxis	NOUN
ejge-4329	355	11	,	,	PUNCT
ejge-4329	355	12	journal	journal	NOUN
ejge-4329	355	13	of	of	ADP
ejge-4329	355	14	public	public	ADJ
ejge-4329	355	15	economics	economic	NOUN
ejge-4329	355	16	56(2	56(2	ADJ
ejge-4329	355	17	)	)	PUNCT
ejge-4329	355	18	,	,	PUNCT
ejge-4329	355	19	291	291	NUM
ejge-4329	355	20	-	-	SYM
ejge-4329	355	21	310	310	NUM
ejge-4329	355	22	.	.	PUNCT
ejge-4329	356	1	https://doi.org/10.1016/00472727(94)01422-k	https://doi.org/10.1016/00472727(94)01422-k	PROPN
ejge-4329	356	2	deaton	deaton	PROPN
ejge-4329	356	3	,	,	PUNCT
ejge-4329	356	4	a.	a.	PROPN
ejge-4329	356	5	(	(	PUNCT
ejge-4329	356	6	1981	1981	NUM
ejge-4329	356	7	)	)	PUNCT
ejge-4329	356	8	.	.	PUNCT
ejge-4329	357	1	optimal	optimal	ADJ
ejge-4329	357	2	taxes	taxis	NOUN
ejge-4329	357	3	and	and	CCONJ
ejge-4329	357	4	the	the	DET
ejge-4329	357	5	structure	structure	NOUN
ejge-4329	357	6	of	of	ADP
ejge-4329	357	7	preferences	preference	NOUN
ejge-4329	357	8	,	,	PUNCT
ejge-4329	357	9	econometrica	econometrica	PROPN
ejge-4329	357	10	,	,	PUNCT
ejge-4329	357	11	49(5	49(5	NUM
ejge-4329	357	12	)	)	PUNCT
ejge-4329	357	13	,	,	PUNCT
ejge-4329	357	14	12451260	12451260	NUM
ejge-4329	357	15	.	.	PUNCT
ejge-4329	358	1	https://doi.org/10.2307/1912753	https://doi.org/10.2307/1912753	X
ejge-4329	359	1	deaton	deaton	PROPN
ejge-4329	359	2	,	,	PUNCT
ejge-4329	359	3	a.	a.	NOUN
ejge-4329	359	4	and	and	CCONJ
ejge-4329	359	5	stern	stern	ADJ
ejge-4329	359	6	,	,	PUNCT
ejge-4329	359	7	n.	n.	NOUN
ejge-4329	359	8	(	(	PUNCT
ejge-4329	359	9	1986	1986	NUM
ejge-4329	359	10	)	)	PUNCT
ejge-4329	359	11	.	.	PUNCT
ejge-4329	360	1	optimally	optimally	ADV
ejge-4329	360	2	uniform	uniform	ADJ
ejge-4329	360	3	commodity	commodity	NOUN
ejge-4329	360	4	taxes	taxis	NOUN
ejge-4329	360	5	,	,	PUNCT
ejge-4329	360	6	taste	taste	VERB
ejge-4329	360	7	differences	difference	NOUN
ejge-4329	360	8	and	and	CCONJ
ejge-4329	360	9	lump	lump	NOUN
ejge-4329	360	10	sum	sum	NOUN
ejge-4329	360	11	grants	grant	NOUN
ejge-4329	360	12	,	,	PUNCT
ejge-4329	360	13	economics	economic	NOUN
ejge-4329	360	14	letters	letter	NOUN
ejge-4329	360	15	,	,	PUNCT
ejge-4329	360	16	20(3	20(3	NOUN
ejge-4329	360	17	)	)	PUNCT
ejge-4329	360	18	,	,	PUNCT
ejge-4329	360	19	263	263	NUM
ejge-4329	360	20	-	-	SYM
ejge-4329	360	21	266	266	NUM
ejge-4329	360	22	.	.	PUNCT
ejge-4329	361	1	https://doi.org/10.1016/0165-1765(86)900352	https://doi.org/10.1016/0165-1765(86)900352	PROPN
ejge-4329	361	2	diamond	diamond	NOUN
ejge-4329	361	3	,	,	PUNCT
ejge-4329	361	4	p.	p.	NOUN
ejge-4329	361	5	a.	a.	NOUN
ejge-4329	362	1	(	(	PUNCT
ejge-4329	362	2	1975	1975	NUM
ejge-4329	362	3	)	)	PUNCT
ejge-4329	362	4	.	.	PUNCT
ejge-4329	363	1	a	a	DET
ejge-4329	363	2	many	many	ADJ
ejge-4329	363	3	-	-	PUNCT
ejge-4329	363	4	person	person	NOUN
ejge-4329	363	5	ramsey	ramsey	PROPN
ejge-4329	363	6	tax	tax	NOUN
ejge-4329	363	7	rule	rule	NOUN
ejge-4329	363	8	,	,	PUNCT
ejge-4329	363	9	journal	journal	NOUN
ejge-4329	363	10	of	of	ADP
ejge-4329	363	11	public	public	ADJ
ejge-4329	363	12	economics	economic	NOUN
ejge-4329	363	13	,	,	PUNCT
ejge-4329	363	14	4(4	4(4	NUM
ejge-4329	363	15	)	)	PUNCT
ejge-4329	363	16	,	,	PUNCT
ejge-4329	363	17	335342	335342	NUM
ejge-4329	363	18	.	.	PUNCT
ejge-4329	364	1	https://doi.org/10.1016/0047-2727(75)90009-2	https://doi.org/10.1016/0047-2727(75)90009-2	ADJ
ejge-4329	364	2	diamond	diamond	NOUN
ejge-4329	364	3	,	,	PUNCT
ejge-4329	364	4	p.	p.	NOUN
ejge-4329	364	5	a.	a.	NOUN
ejge-4329	364	6	and	and	CCONJ
ejge-4329	364	7	mirrlees	mirrlees	PROPN
ejge-4329	364	8	,	,	PUNCT
ejge-4329	364	9	j.	j.	PROPN
ejge-4329	364	10	a.	a.	PROPN
ejge-4329	364	11	(	(	PUNCT
ejge-4329	364	12	1971	1971	NUM
ejge-4329	364	13	)	)	PUNCT
ejge-4329	364	14	.	.	PUNCT
ejge-4329	365	1	optimal	optimal	ADJ
ejge-4329	365	2	taxation	taxation	NOUN
ejge-4329	365	3	and	and	CCONJ
ejge-4329	365	4	public	public	ADJ
ejge-4329	365	5	production	production	NOUN
ejge-4329	365	6	ii	ii	PROPN
ejge-4329	365	7	:	:	PUNCT
ejge-4329	365	8	tax	tax	NOUN
ejge-4329	365	9	rules	rule	NOUN
ejge-4329	365	10	,	,	PUNCT
ejge-4329	365	11	american	american	PROPN
ejge-4329	365	12	economic	economic	PROPN
ejge-4329	365	13	review	review	PROPN
ejge-4329	365	14	,	,	PUNCT
ejge-4329	365	15	61(3	61(3	NUM
ejge-4329	365	16	)	)	PUNCT
ejge-4329	365	17	,	,	PUNCT
ejge-4329	365	18	261	261	NUM
ejge-4329	365	19	-	-	SYM
ejge-4329	365	20	278	278	NUM
ejge-4329	365	21	.	.	PUNCT
ejge-4329	366	1	ekins	ekin	NOUN
ejge-4329	366	2	,	,	PUNCT
ejge-4329	366	3	p.	p.	NOUN
ejge-4329	366	4	(	(	PUNCT
ejge-4329	366	5	1996	1996	NUM
ejge-4329	366	6	)	)	PUNCT
ejge-4329	366	7	.	.	PUNCT
ejge-4329	367	1	how	how	SCONJ
ejge-4329	367	2	large	large	ADJ
ejge-4329	367	3	a	a	DET
ejge-4329	367	4	carbon	carbon	NOUN
ejge-4329	367	5	tax	tax	NOUN
ejge-4329	367	6	is	be	AUX
ejge-4329	367	7	justified	justify	VERB
ejge-4329	367	8	by	by	ADP
ejge-4329	367	9	the	the	DET
ejge-4329	367	10	secondary	secondary	ADJ
ejge-4329	367	11	benefits	benefit	NOUN
ejge-4329	367	12	of	of	ADP
ejge-4329	367	13	co2	co2	NOUN
ejge-4329	367	14	abatement	abatement	NOUN
ejge-4329	367	15	?	?	PUNCT
ejge-4329	368	1	resource	resource	NOUN
ejge-4329	368	2	and	and	CCONJ
ejge-4329	368	3	energy	energy	NOUN
ejge-4329	368	4	economics	economic	NOUN
ejge-4329	368	5	,	,	PUNCT
ejge-4329	368	6	18(2	18(2	NUM
ejge-4329	368	7	)	)	PUNCT
ejge-4329	368	8	,	,	PUNCT
ejge-4329	368	9	161	161	NUM
ejge-4329	368	10	-	-	SYM
ejge-4329	368	11	187	187	NUM
ejge-4329	368	12	.	.	PUNCT
ejge-4329	369	1	https://doi.org/10.1016/09287655(96)00003-6	https://doi.org/10.1016/09287655(96)00003-6	PUNCT
ejge-4329	370	1	judd	judd	PROPN
ejge-4329	370	2	,	,	PUNCT
ejge-4329	370	3	k.	k.	PROPN
ejge-4329	370	4	l.	l.	PROPN
ejge-4329	370	5	(	(	PUNCT
ejge-4329	370	6	1985	1985	NUM
ejge-4329	370	7	)	)	PUNCT
ejge-4329	370	8	.	.	PUNCT
ejge-4329	371	1	redistributive	redistributive	ADJ
ejge-4329	371	2	taxation	taxation	NOUN
ejge-4329	371	3	in	in	ADP
ejge-4329	371	4	a	a	DET
ejge-4329	371	5	simple	simple	ADJ
ejge-4329	371	6	perfect	perfect	ADJ
ejge-4329	371	7	foresight	foresight	NOUN
ejge-4329	371	8	model	model	NOUN
ejge-4329	371	9	,	,	PUNCT
ejge-4329	371	10	journal	journal	NOUN
ejge-4329	371	11	of	of	ADP
ejge-4329	371	12	public	public	ADJ
ejge-4329	371	13	economics	economic	NOUN
ejge-4329	371	14	,	,	PUNCT
ejge-4329	371	15	28(1	28(1	NOUN
ejge-4329	371	16	)	)	PUNCT
ejge-4329	371	17	,	,	PUNCT
ejge-4329	371	18	59	59	NUM
ejge-4329	371	19	-	-	SYM
ejge-4329	371	20	83	83	NUM
ejge-4329	371	21	.	.	PUNCT
ejge-4329	372	1	https://doi.org/10.1016/0047-2727(85)90020-9	https://doi.org/10.1016/0047-2727(85)90020-9	PROPN
ejge-4329	372	2	lucas	lucas	PROPN
ejge-4329	372	3	,	,	PUNCT
ejge-4329	372	4	r.	r.	PROPN
ejge-4329	372	5	e.	e.	PROPN
ejge-4329	372	6	and	and	CCONJ
ejge-4329	372	7	stokey	stokey	PROPN
ejge-4329	372	8	,	,	PUNCT
ejge-4329	372	9	n.	n.	PROPN
ejge-4329	372	10	l.	l.	PROPN
ejge-4329	372	11	(	(	PUNCT
ejge-4329	372	12	1983	1983	NUM
ejge-4329	372	13	)	)	PUNCT
ejge-4329	372	14	.	.	PUNCT
ejge-4329	373	1	optimal	optimal	ADJ
ejge-4329	373	2	fiscal	fiscal	ADJ
ejge-4329	373	3	and	and	CCONJ
ejge-4329	373	4	monetary	monetary	ADJ
ejge-4329	373	5	policy	policy	NOUN
ejge-4329	373	6	in	in	ADP
ejge-4329	373	7	an	an	DET
ejge-4329	373	8	economy	economy	NOUN
ejge-4329	373	9	without	without	ADP
ejge-4329	373	10	capital	capital	NOUN
ejge-4329	373	11	,	,	PUNCT
ejge-4329	373	12	journal	journal	NOUN
ejge-4329	373	13	of	of	ADP
ejge-4329	373	14	monetary	monetary	ADJ
ejge-4329	373	15	economics	economic	NOUN
ejge-4329	373	16	,	,	PUNCT
ejge-4329	373	17	12(1	12(1	NUM
ejge-4329	373	18	)	)	PUNCT
ejge-4329	373	19	,	,	PUNCT
ejge-4329	373	20	55	55	NUM
ejge-4329	373	21	-	-	SYM
ejge-4329	373	22	93	93	NUM
ejge-4329	373	23	.	.	PUNCT
ejge-4329	374	1	https://doi.org/10.1016/03043932(83)90049-1	https://doi.org/10.1016/03043932(83)90049-1	NOUN
ejge-4329	374	2	mirrlees	mirrlee	NOUN
ejge-4329	374	3	,	,	PUNCT
ejge-4329	374	4	j.	j.	PROPN
ejge-4329	374	5	(	(	PUNCT
ejge-4329	374	6	1975	1975	NUM
ejge-4329	374	7	)	)	PUNCT
ejge-4329	374	8	.	.	PUNCT
ejge-4329	375	1	optimal	optimal	ADJ
ejge-4329	375	2	commodity	commodity	NOUN
ejge-4329	375	3	taxation	taxation	NOUN
ejge-4329	375	4	in	in	ADP
ejge-4329	375	5	a	a	DET
ejge-4329	375	6	two	two	NUM
ejge-4329	375	7	-	-	PUNCT
ejge-4329	375	8	class	class	NOUN
ejge-4329	375	9	economy	economy	NOUN
ejge-4329	375	10	,	,	PUNCT
ejge-4329	375	11	journal	journal	NOUN
ejge-4329	375	12	of	of	ADP
ejge-4329	375	13	public	public	ADJ
ejge-4329	375	14	economics	economic	NOUN
ejge-4329	375	15	,	,	PUNCT
ejge-4329	375	16	4(1	4(1	NOUN
ejge-4329	375	17	)	)	PUNCT
ejge-4329	375	18	,	,	PUNCT
ejge-4329	375	19	27	27	NUM
ejge-4329	375	20	-	-	SYM
ejge-4329	375	21	33	33	NUM
ejge-4329	375	22	.	.	PUNCT
ejge-4329	376	1	https://doi.org/10.1016/0047-2727(75)90021-3	https://doi.org/10.1016/0047-2727(75)90021-3	PROPN
ejge-4329	376	2	naito	naito	PROPN
ejge-4329	376	3	,	,	PUNCT
ejge-4329	376	4	h.	h.	PROPN
ejge-4329	376	5	:	:	PUNCT
ejge-4329	376	6	(	(	PUNCT
ejge-4329	376	7	1999	1999	NUM
ejge-4329	376	8	)	)	PUNCT
ejge-4329	376	9	.	.	PUNCT
ejge-4329	377	1	re	re	NOUN
ejge-4329	378	1	-	-	NOUN
ejge-4329	379	1	examination	examination	NOUN
ejge-4329	379	2	of	of	ADP
ejge-4329	379	3	uniform	uniform	ADJ
ejge-4329	379	4	commodity	commodity	NOUN
ejge-4329	379	5	taxes	taxis	NOUN
ejge-4329	379	6	under	under	ADP
ejge-4329	379	7	a	a	DET
ejge-4329	379	8	non	non	ADJ
ejge-4329	379	9	-	-	ADJ
ejge-4329	379	10	linear	linear	ADJ
ejge-4329	379	11	income	income	NOUN
ejge-4329	379	12	tax	tax	NOUN
ejge-4329	379	13	system	system	NOUN
ejge-4329	379	14	and	and	CCONJ
ejge-4329	379	15	its	its	PRON
ejge-4329	379	16	implication	implication	NOUN
ejge-4329	379	17	for	for	ADP
ejge-4329	379	18	production	production	NOUN
ejge-4329	379	19	efficiency	efficiency	NOUN
ejge-4329	379	20	,	,	PUNCT
ejge-4329	379	21	journal	journal	NOUN
ejge-4329	379	22	of	of	ADP
ejge-4329	379	23	public	public	ADJ
ejge-4329	379	24	economics	economic	NOUN
ejge-4329	379	25	,	,	PUNCT
ejge-4329	379	26	71(2	71(2	NUM
ejge-4329	379	27	)	)	PUNCT
ejge-4329	379	28	,	,	PUNCT
ejge-4329	379	29	165188	165188	NUM
ejge-4329	379	30	.	.	PUNCT
ejge-4329	380	1	https://doi.org/10.1016/s0047-2727(98)00052-8	https://doi.org/10.1016/s0047-2727(98)00052-8	PROPN
ejge-4329	380	2	nordhaus	nordhaus	PROPN
ejge-4329	380	3	,	,	PUNCT
ejge-4329	380	4	w.	w.	PROPN
ejge-4329	380	5	d.	d.	PROPN
ejge-4329	380	6	(	(	PUNCT
ejge-4329	380	7	1993	1993	NUM
ejge-4329	380	8	)	)	PUNCT
ejge-4329	380	9	.	.	PUNCT
ejge-4329	381	1	rolling	roll	VERB
ejge-4329	381	2	the	the	DET
ejge-4329	381	3	‘	'	PUNCT
ejge-4329	381	4	dice	dice	NOUN
ejge-4329	381	5	’	'	PUNCT
ejge-4329	381	6	:	:	PUNCT
ejge-4329	381	7	an	an	DET
ejge-4329	381	8	optimal	optimal	ADJ
ejge-4329	381	9	transition	transition	NOUN
ejge-4329	381	10	path	path	NOUN
ejge-4329	381	11	for	for	ADP
ejge-4329	381	12	controlling	control	VERB
ejge-4329	381	13	greenhouse	greenhouse	NOUN
ejge-4329	381	14	gases	gas	NOUN
ejge-4329	381	15	,	,	PUNCT
ejge-4329	381	16	resource	resource	NOUN
ejge-4329	381	17	and	and	CCONJ
ejge-4329	381	18	energy	energy	NOUN
ejge-4329	381	19	economics	economic	NOUN
ejge-4329	381	20	,	,	PUNCT
ejge-4329	381	21	15(1	15(1	NUM
ejge-4329	381	22	)	)	PUNCT
ejge-4329	381	23	,	,	PUNCT
ejge-4329	381	24	27	27	NUM
ejge-4329	381	25	-	-	SYM
ejge-4329	381	26	50	50	NUM
ejge-4329	381	27	.	.	PUNCT
ejge-4329	382	1	https://doi.org/10.1016/09287655(93)90017-o	https://doi.org/10.1016/09287655(93)90017-o	ADJ
ejge-4329	382	2	pizer	pizer	NOUN
ejge-4329	382	3	,	,	PUNCT
ejge-4329	382	4	w.	w.	PROPN
ejge-4329	382	5	a.	a.	PROPN
ejge-4329	382	6	(	(	PUNCT
ejge-4329	382	7	2002	2002	NUM
ejge-4329	382	8	)	)	PUNCT
ejge-4329	382	9	.	.	PUNCT
ejge-4329	383	1	combining	combine	VERB
ejge-4329	383	2	price	price	NOUN
ejge-4329	383	3	and	and	CCONJ
ejge-4329	383	4	quantity	quantity	NOUN
ejge-4329	383	5	controls	control	NOUN
ejge-4329	383	6	to	to	PART
ejge-4329	383	7	mitigate	mitigate	VERB
ejge-4329	383	8	global	global	ADJ
ejge-4329	383	9	climate	climate	NOUN
ejge-4329	383	10	change	change	NOUN
ejge-4329	383	11	,	,	PUNCT
ejge-4329	383	12	journal	journal	NOUN
ejge-4329	383	13	of	of	ADP
ejge-4329	383	14	public	public	ADJ
ejge-4329	383	15	economics	economic	NOUN
ejge-4329	383	16	,	,	PUNCT
ejge-4329	383	17	85(3	85(3	NUM
ejge-4329	383	18	)	)	PUNCT
ejge-4329	383	19	,	,	PUNCT
ejge-4329	383	20	409	409	NUM
ejge-4329	383	21	-	-	SYM
ejge-4329	383	22	434	434	NUM
ejge-4329	383	23	.	.	PUNCT
ejge-4329	384	1	https://doi.org/10.1016/s0047-2727(01)00118-9	https://doi.org/10.1016/s0047-2727(01)00118-9	PROPN
ejge-4329	384	2	ramsey	ramsey	PROPN
ejge-4329	384	3	,	,	PUNCT
ejge-4329	384	4	f.	f.	PROPN
ejge-4329	384	5	p.	p.	PROPN
ejge-4329	384	6	(	(	PUNCT
ejge-4329	384	7	1927	1927	NUM
ejge-4329	384	8	)	)	PUNCT
ejge-4329	384	9	.	.	PUNCT
ejge-4329	385	1	a	a	DET
ejge-4329	385	2	contribution	contribution	NOUN
ejge-4329	385	3	to	to	ADP
ejge-4329	385	4	the	the	DET
ejge-4329	385	5	theory	theory	NOUN
ejge-4329	385	6	of	of	ADP
ejge-4329	385	7	taxation	taxation	NOUN
ejge-4329	385	8	,	,	PUNCT
ejge-4329	385	9	the	the	DET
ejge-4329	385	10	economic	economic	ADJ
ejge-4329	385	11	journal	journal	NOUN
ejge-4329	385	12	,	,	PUNCT
ejge-4329	385	13	37(145	37(145	NOUN
ejge-4329	385	14	)	)	PUNCT
ejge-4329	385	15	,	,	PUNCT
ejge-4329	385	16	47	47	NUM
ejge-4329	385	17	-	-	SYM
ejge-4329	385	18	61	61	NUM
ejge-4329	385	19	.	.	PUNCT
ejge-4329	386	1	https://doi.org/10.2307/2222721	https://doi.org/10.2307/2222721	X
ejge-4329	386	2	saez	saez	PROPN
ejge-4329	386	3	,	,	PUNCT
ejge-4329	386	4	e.	e.	PROPN
ejge-4329	386	5	(	(	PUNCT
ejge-4329	386	6	2002	2002	NUM
ejge-4329	386	7	)	)	PUNCT
ejge-4329	386	8	.	.	PUNCT
ejge-4329	387	1	the	the	DET
ejge-4329	387	2	desirability	desirability	NOUN
ejge-4329	387	3	of	of	ADP
ejge-4329	387	4	commodity	commodity	NOUN
ejge-4329	387	5	taxation	taxation	NOUN
ejge-4329	387	6	under	under	ADP
ejge-4329	387	7	non	non	ADJ
ejge-4329	387	8	-	-	ADJ
ejge-4329	387	9	linear	linear	ADJ
ejge-4329	387	10	income	income	NOUN
ejge-4329	387	11	taxation	taxation	NOUN
ejge-4329	387	12	and	and	CCONJ
ejge-4329	387	13	heterogeneous	heterogeneous	ADJ
ejge-4329	387	14	tastes	taste	NOUN
ejge-4329	387	15	,	,	PUNCT
ejge-4329	387	16	journal	journal	NOUN
ejge-4329	387	17	of	of	ADP
ejge-4329	387	18	public	public	ADJ
ejge-4329	387	19	economics	economic	NOUN
ejge-4329	387	20	,	,	PUNCT
ejge-4329	387	21	83(2	83(2	NUM
ejge-4329	387	22	)	)	PUNCT
ejge-4329	387	23	,	,	PUNCT
ejge-4329	387	24	217	217	NUM
ejge-4329	387	25	-	-	SYM
ejge-4329	387	26	230	230	NUM
ejge-4329	387	27	.	.	PUNCT
ejge-4329	387	28	https://doi.org/10.1086/261949	https://doi.org/10.1086/261949	NOUN
ejge-4329	387	29	212	212	NUM
ejge-4329	387	30	n.	n.	NOUN
ejge-4329	387	31	nawaz	nawaz	ADJ
ejge-4329	387	32	/	/	SYM
ejge-4329	387	33	european	european	ADJ
ejge-4329	387	34	journal	journal	PROPN
ejge-4329	387	35	of	of	ADP
ejge-4329	387	36	government	government	NOUN
ejge-4329	387	37	and	and	CCONJ
ejge-4329	387	38	economics	economic	NOUN
ejge-4329	387	39	6(2	6(2	NUM
ejge-4329	387	40	)	)	PUNCT
ejge-4329	387	41	,	,	PUNCT
ejge-4329	387	42	191	191	NUM
ejge-4329	387	43	-	-	SYM
ejge-4329	387	44	225	225	NUM
ejge-4329	387	45	https://doi.org/10.1016/s0047-2727(00)00159-6	https://doi.org/10.1016/s0047-2727(00)00159-6	NOUN
ejge-4329	387	46	appendix	appendix	ADJ
ejge-4329	387	47	dynamic	dynamic	ADJ
ejge-4329	387	48	problem	problem	NOUN
ejge-4329	387	49	of	of	ADP
ejge-4329	387	50	the	the	DET
ejge-4329	387	51	middleman	middleman	NOUN
ejge-4329	387	52	in	in	ADP
ejge-4329	387	53	a	a	DET
ejge-4329	387	54	dynamic	dynamic	ADJ
ejge-4329	387	55	setting	setting	NOUN
ejge-4329	387	56	,	,	PUNCT
ejge-4329	387	57	the	the	DET
ejge-4329	387	58	middleman	middleman	NOUN
ejge-4329	387	59	maximizes	maximize	VERB
ejge-4329	387	60	the	the	DET
ejge-4329	387	61	present	present	ADJ
ejge-4329	387	62	discounted	discount	VERB
ejge-4329	387	63	value	value	NOUN
ejge-4329	387	64	of	of	ADP
ejge-4329	387	65	the	the	DET
ejge-4329	387	66	future	future	ADJ
ejge-4329	387	67	stream	stream	NOUN
ejge-4329	387	68	of	of	ADP
ejge-4329	387	69	profits	profit	NOUN
ejge-4329	387	70	,	,	PUNCT
ejge-4329	387	71	and	and	CCONJ
ejge-4329	387	72	his	his	PRON
ejge-4329	387	73	present	present	ADJ
ejge-4329	387	74	value	value	NOUN
ejge-4329	387	75	at	at	ADP
ejge-4329	387	76	time	time	NOUN
ejge-4329	387	77	zero	zero	NUM
ejge-4329	387	78	is	be	AUX
ejge-4329	387	79	as	as	SCONJ
ejge-4329	387	80	follows	follow	VERB
ejge-4329	387	81	:	:	PUNCT
ejge-4329	387	82	[	[	PUNCT
ejge-4329	387	83	]	]	X
ejge-4329	387	84	,	,	PUNCT
ejge-4329	387	85	)	)	PUNCT
ejge-4329	387	86	)	)	PUNCT
ejge-4329	387	87	,	,	PUNCT
ejge-4329	387	88	(	(	PUNCT
ejge-4329	387	89	(	(	PUNCT
ejge-4329	387	90	)	)	PUNCT
ejge-4329	387	91	(=	(=	X
ejge-4329	387	92	(	(	PUNCT
ejge-4329	387	93	0	0	NUM
ejge-4329	387	94	)	)	PUNCT
ejge-4329	387	95	0	0	NUM
ejge-4329	388	1	dteepmppqv	dteepmppqv	X
ejge-4329	388	2	rt−	rt−	NUM
ejge-4329	388	3	∞	∞	PROPN
ejge-4329	388	4	−∫	−∫	NOUN
ejge-4329	388	5	ς	ς	X
ejge-4329	388	6	[	[	X
ejge-4329	388	7	36	36	NUM
ejge-4329	388	8	]	]	PUNCT
ejge-4329	388	9	where	where	SCONJ
ejge-4329	388	10	r	r	NOUN
ejge-4329	388	11	denotes	denote	VERB
ejge-4329	388	12	the	the	DET
ejge-4329	388	13	discount	discount	NOUN
ejge-4329	388	14	rate	rate	NOUN
ejge-4329	388	15	,	,	PUNCT
ejge-4329	388	16	)	)	PUNCT
ejge-4329	388	17	(	(	PUNCT
ejge-4329	388	18	tp	tp	NOUN
ejge-4329	388	19	is	be	AUX
ejge-4329	388	20	the	the	DET
ejge-4329	388	21	control	control	NOUN
ejge-4329	388	22	variable	variable	NOUN
ejge-4329	388	23	and	and	CCONJ
ejge-4329	388	24	)	)	PUNCT
ejge-4329	388	25	(	(	PUNCT
ejge-4329	388	26	tm	tm	ADP
ejge-4329	388	27	the	the	DET
ejge-4329	388	28	state	state	NOUN
ejge-4329	388	29	variable	variable	NOUN
ejge-4329	388	30	.	.	PUNCT
ejge-4329	389	1	the	the	DET
ejge-4329	389	2	maximization	maximization	NOUN
ejge-4329	389	3	problem	problem	NOUN
ejge-4329	389	4	can	can	AUX
ejge-4329	389	5	be	be	AUX
ejge-4329	389	6	written	write	VERB
ejge-4329	389	7	as	as	ADP
ejge-4329	389	8	{	{	PUNCT
ejge-4329	389	9	}	}	PUNCT
ejge-4329	389	10	[	[	PUNCT
ejge-4329	389	11	]	]	X
ejge-4329	389	12	,	,	PUNCT
ejge-4329	389	13	)	)	PUNCT
ejge-4329	389	14	)	)	PUNCT
ejge-4329	389	15	,	,	PUNCT
ejge-4329	389	16	(	(	PUNCT
ejge-4329	389	17	(	(	PUNCT
ejge-4329	389	18	)	)	PUNCT
ejge-4329	389	19	(=	(=	X
ejge-4329	389	20	(	(	PUNCT
ejge-4329	389	21	0	0	NUM
ejge-4329	389	22	)	)	PUNCT
ejge-4329	389	23	0	0	NUM
ejge-4329	389	24	)	)	PUNCT
ejge-4329	390	1	(	(	PUNCT
ejge-4329	390	2	dteepmppqvmax	dteepmppqvmax	NOUN
ejge-4329	390	3	rt	rt	PROPN
ejge-4329	390	4	tp	tp	ADP
ejge-4329	390	5	−	−	PROPN
ejge-4329	390	6	∞	∞	NUM
ejge-4329	390	7	−∫	−∫	NOUN
ejge-4329	390	8	ς	ς	NOUN
ejge-4329	390	9	subject	subject	NOUN
ejge-4329	390	10	to	to	ADP
ejge-4329	390	11	the	the	DET
ejge-4329	390	12	constraints	constraint	NOUN
ejge-4329	390	13	that	that	PRON
ejge-4329	390	14	)	)	PUNCT
ejge-4329	390	15	(	(	PUNCT
ejge-4329	390	16	)	)	PUNCT
ejge-4329	390	17	)	)	PUNCT
ejge-4329	390	18	,	,	PUNCT
ejge-4329	390	19	(	(	PUNCT
ejge-4329	390	20	(	(	PUNCT
ejge-4329	390	21	)	)	PUNCT
ejge-4329	390	22	)	)	PUNCT
ejge-4329	390	23	)	)	PUNCT
ejge-4329	390	24	,	,	PUNCT
ejge-4329	390	25	(	(	PUNCT
ejge-4329	390	26	(	(	PUNCT
ejge-4329	390	27	)	)	PUNCT
ejge-4329	390	28	,	,	PUNCT
ejge-4329	390	29	(	(	PUNCT
ejge-4329	390	30	(	(	PUNCT
ejge-4329	390	31	)	)	PUNCT
ejge-4329	390	32	(	(	PUNCT
ejge-4329	390	33	)	)	PUNCT
ejge-4329	390	34	)	)	PUNCT
ejge-4329	390	35	)	)	PUNCT
ejge-4329	390	36	,	,	PUNCT
ejge-4329	390	37	(	(	PUNCT
ejge-4329	390	38	(	(	PUNCT
ejge-4329	390	39	)	)	PUNCT
ejge-4329	390	40	,	,	PUNCT
ejge-4329	390	41	(	(	PUNCT
ejge-4329	390	42	(=	(=	X
ejge-4329	390	43	)	)	PUNCT
ejge-4329	390	44	(	(	PUNCT
ejge-4329	390	45	.	.	PUNCT
ejge-4329	390	46	1	1	NUM
ejge-4329	390	47	..	..	SYM
ejge-4329	390	48	2	2	NUM
ejge-4329	390	49	..	..	SYM
ejge-4329	390	50	1	1	X
ejge-4329	390	51	.	.	PUNCT
ejge-4329	391	1	tpztpeztpetpmtpztpetpmtm	tpztpeztpetpmtpztpetpmtm	PROPN
ejge-4329	391	2	+	+	CCONJ
ejge-4329	391	3	(	(	PUNCT
ejge-4329	391	4	state	state	NOUN
ejge-4329	391	5	equation	equation	NOUN
ejge-4329	391	6	,	,	PUNCT
ejge-4329	391	7	describing	describe	VERB
ejge-4329	391	8	how	how	SCONJ
ejge-4329	391	9	the	the	DET
ejge-4329	391	10	state	state	NOUN
ejge-4329	391	11	variable	variable	ADJ
ejge-4329	391	12	changes	change	NOUN
ejge-4329	391	13	with	with	ADP
ejge-4329	391	14	time	time	NOUN
ejge-4329	391	15	;	;	PUNCT
ejge-4329	391	16	z	z	NOUN
ejge-4329	391	17	are	be	AUX
ejge-4329	391	18	exogenous	exogenous	ADJ
ejge-4329	391	19	factors	factor	NOUN
ejge-4329	391	20	)	)	PUNCT
ejge-4329	392	1	,	,	PUNCT
ejge-4329	392	2	smm	smm	VERB
ejge-4329	392	3	=(	=(	NOUN
ejge-4329	392	4	0	0	NUM
ejge-4329	392	5	)	)	PUNCT
ejge-4329	392	6	(	(	PUNCT
ejge-4329	392	7	initial	initial	ADJ
ejge-4329	392	8	condition	condition	NOUN
ejge-4329	392	9	)	)	PUNCT
ejge-4329	392	10	,	,	PUNCT
ejge-4329	392	11	0	0	NUM
ejge-4329	392	12	)	)	PUNCT
ejge-4329	392	13	(	(	PUNCT
ejge-4329	392	14	≥tm	≥tm	X
ejge-4329	392	15	(	(	PUNCT
ejge-4329	392	16	non	non	ADJ
ejge-4329	392	17	-	-	ADJ
ejge-4329	392	18	negativity	negativity	ADJ
ejge-4329	392	19	constraint	constraint	NOUN
ejge-4329	392	20	on	on	ADP
ejge-4329	392	21	state	state	NOUN
ejge-4329	392	22	variable	variable	NOUN
ejge-4329	392	23	)	)	PUNCT
ejge-4329	392	24	,	,	PUNCT
ejge-4329	392	25	)	)	PUNCT
ejge-4329	392	26	(	(	PUNCT
ejge-4329	392	27	∞m	∞m	VERB
ejge-4329	392	28	free	free	ADJ
ejge-4329	392	29	(	(	PUNCT
ejge-4329	392	30	terminal	terminal	ADJ
ejge-4329	392	31	condition	condition	NOUN
ejge-4329	392	32	)	)	PUNCT
ejge-4329	392	33	.	.	PUNCT
ejge-4329	393	1	the	the	DET
ejge-4329	393	2	current	current	ADJ
ejge-4329	393	3	-	-	PUNCT
ejge-4329	393	4	value	value	NOUN
ejge-4329	393	5	hamiltonian	hamiltonian	NOUN
ejge-4329	393	6	for	for	ADP
ejge-4329	393	7	this	this	DET
ejge-4329	393	8	case	case	NOUN
ejge-4329	393	9	is	be	AUX
ejge-4329	393	10	.	.	PUNCT
ejge-4329	393	11	)	)	PUNCT
ejge-4329	393	12	)	)	PUNCT
ejge-4329	393	13	,	,	PUNCT
ejge-4329	393	14	(	(	PUNCT
ejge-4329	393	15	(	(	PUNCT
ejge-4329	393	16	)	)	PUNCT
ejge-4329	393	17	)	)	PUNCT
ejge-4329	393	18	)	)	PUNCT
ejge-4329	393	19	,	,	PUNCT
ejge-4329	393	20	(	(	PUNCT
ejge-4329	393	21	(	(	PUNCT
ejge-4329	393	22	)	)	PUNCT
ejge-4329	393	23	,	,	PUNCT
ejge-4329	393	24	(	(	PUNCT
ejge-4329	393	25	(	(	PUNCT
ejge-4329	393	26	)	)	PUNCT
ejge-4329	393	27	)	)	PUNCT
ejge-4329	393	28	)	)	PUNCT
ejge-4329	393	29	,	,	PUNCT
ejge-4329	393	30	(	(	PUNCT
ejge-4329	393	31	(	(	PUNCT
ejge-4329	393	32	)	)	PUNCT
ejge-4329	393	33	,	,	PUNCT
ejge-4329	393	34	(	(	PUNCT
ejge-4329	393	35	(	(	PUNCT
ejge-4329	393	36	)	)	PUNCT
ejge-4329	393	37	(	(	PUNCT
ejge-4329	393	38	)	)	PUNCT
ejge-4329	393	39	(	(	PUNCT
ejge-4329	393	40	)	)	PUNCT
ejge-4329	393	41	)	)	PUNCT
ejge-4329	393	42	)	)	PUNCT
ejge-4329	393	43	)	)	PUNCT
ejge-4329	393	44	,	,	PUNCT
ejge-4329	393	45	(	(	PUNCT
ejge-4329	393	46	(	(	PUNCT
ejge-4329	393	47	)	)	PUNCT
ejge-4329	393	48	,	,	PUNCT
ejge-4329	393	49	(	(	PUNCT
ejge-4329	393	50	(	(	PUNCT
ejge-4329	393	51	(	(	PUNCT
ejge-4329	393	52	)	)	PUNCT
ejge-4329	393	53	)	)	PUNCT
ejge-4329	393	54	(	(	PUNCT
ejge-4329	393	55	(	(	PUNCT
ejge-4329	393	56	)	)	PUNCT
ejge-4329	393	57	(=	(=	X
ejge-4329	393	58	~	~	PUNCT
ejge-4329	393	59	1	1	X
ejge-4329	393	60	.	.	PUNCT
ejge-4329	393	61	.	.	PUNCT
ejge-4329	394	1	2	2	NUM
ejge-4329	394	2	.	.	NUM
ejge-4329	394	3	1	1	NUM
ejge-4329	394	4	.	.	PUNCT
ejge-4329	395	1			PROPN
ejge-4329	395	2			PROPN
ejge-4329	395	3			PROPN
ejge-4329	395	4			PROPN
ejge-4329	395	5			ADJ
ejge-4329	395	6			ADJ
ejge-4329	395	7			NUM
ejge-4329	395	8			VERB
ejge-4329	395	9	∗++−	∗++−	PROPN
ejge-4329	395	10	ztpe	ztpe	PROPN
ejge-4329	395	11	ztpetpmztpetpmtptztpetpmtpqtph	ztpetpmztpetpmtptztpetpmtpqtph	PROPN
ejge-4329	395	12	µς	µς	X
ejge-4329	396	1	[	[	X
ejge-4329	396	2	37	37	NUM
ejge-4329	396	3	]	]	PUNCT
ejge-4329	396	4	the	the	DET
ejge-4329	396	5	maximizing	maximize	VERB
ejge-4329	396	6	conditions	condition	NOUN
ejge-4329	396	7	are	be	AUX
ejge-4329	396	8	as	as	SCONJ
ejge-4329	396	9	follows	follow	VERB
ejge-4329	396	10	:	:	PUNCT
ejge-4329	396	11	)	)	PUNCT
ejge-4329	396	12	(	(	PUNCT
ejge-4329	396	13	i	i	NOUN
ejge-4329	396	14	)	)	PUNCT
ejge-4329	396	15	(	(	PUNCT
ejge-4329	396	16	tp∗	tp∗	NOUN
ejge-4329	396	17	maximizes	maximize	VERB
ejge-4329	396	18	h~	h~	PROPN
ejge-4329	396	19	for	for	ADP
ejge-4329	396	20	all	all	DET
ejge-4329	396	21	t	t	NOUN
ejge-4329	396	22	:	:	PUNCT
ejge-4329	396	23	0,=	0,=	NUM
ejge-4329	396	24	~	~	PUNCT
ejge-4329	397	1	p	p	X
ejge-4329	397	2	h	h	NOUN
ejge-4329	397	3	∂	∂	NOUN
ejge-4329	397	4	∂	∂	NUM
ejge-4329	397	5	)	)	PUNCT
ejge-4329	397	6	(	(	PUNCT
ejge-4329	397	7	ii	ii	NOUN
ejge-4329	397	8	,	,	PUNCT
ejge-4329	397	9	~	~	PUNCT
ejge-4329	397	10	=	=	PUNCT
ejge-4329	397	11	.	.	PUNCT
ejge-4329	398	1	m	m	PROPN
ejge-4329	398	2	hr	hr	PROPN
ejge-4329	398	3	∂	∂	NUM
ejge-4329	398	4	∂	∂	NUM
ejge-4329	398	5	−−	−−	NOUN
ejge-4329	398	6	µµ	µµ	NOUN
ejge-4329	398	7	)	)	PUNCT
ejge-4329	398	8	(	(	PUNCT
ejge-4329	398	9	iii	iii	X
ejge-4329	398	10	µ∂	µ∂	NOUN
ejge-4329	398	11	∂∗	∂∗	VERB
ejge-4329	398	12	hm	hm	INTJ
ejge-4329	398	13	~	~	PUNCT
ejge-4329	398	14	=	=	PUNCT
ejge-4329	398	15	.	.	PUNCT
ejge-4329	399	1	(	(	PUNCT
ejge-4329	399	2	this	this	PRON
ejge-4329	399	3	just	just	ADV
ejge-4329	399	4	gives	give	VERB
ejge-4329	399	5	back	back	ADP
ejge-4329	399	6	the	the	DET
ejge-4329	399	7	state	state	NOUN
ejge-4329	399	8	equation	equation	NOUN
ejge-4329	399	9	)	)	PUNCT
ejge-4329	399	10	,	,	PUNCT
ejge-4329	399	11	)	)	PUNCT
ejge-4329	399	12	(	(	PUNCT
ejge-4329	399	13	iv	iv	NUM
ejge-4329	399	14	0=)()(lim	0=)()(lim	NUM
ejge-4329	399	15	rt	rt	PROPN
ejge-4329	399	16	t	t	PROPN
ejge-4329	399	17	etmt	etmt	VERB
ejge-4329	399	18	−	−	PROPN
ejge-4329	399	19	∞→	∞→	ADJ
ejge-4329	399	20	µ	µ	X
ejge-4329	399	21	(	(	PUNCT
ejge-4329	399	22	the	the	DET
ejge-4329	399	23	transversality	transversality	NOUN
ejge-4329	399	24	condition	condition	NOUN
ejge-4329	399	25	)	)	PUNCT
ejge-4329	399	26	.	.	PUNCT
ejge-4329	400	1	213	213	NUM
ejge-4329	400	2	n.	n.	NOUN
ejge-4329	400	3	nawaz	nawaz	ADJ
ejge-4329	400	4	/	/	SYM
ejge-4329	400	5	european	european	ADJ
ejge-4329	400	6	journal	journal	PROPN
ejge-4329	400	7	of	of	ADP
ejge-4329	400	8	government	government	NOUN
ejge-4329	400	9	and	and	CCONJ
ejge-4329	400	10	economics	economic	NOUN
ejge-4329	400	11	6(2	6(2	NUM
ejge-4329	400	12	)	)	PUNCT
ejge-4329	400	13	,	,	PUNCT
ejge-4329	400	14	191	191	NUM
ejge-4329	400	15	-	-	SYM
ejge-4329	400	16	225	225	NUM
ejge-4329	400	17	the	the	DET
ejge-4329	400	18	first	first	ADJ
ejge-4329	400	19	two	two	NUM
ejge-4329	400	20	conditions	condition	NOUN
ejge-4329	400	21	are	be	AUX
ejge-4329	400	22			PROPN
ejge-4329	400	23			PROPN
ejge-4329	400	24			PROPN
ejge-4329	400	25			PROPN
ejge-4329	400	26			PROPN
ejge-4329	400	27			VERB
ejge-4329	400	28			ADP
ejge-4329	400	29			PROPN
ejge-4329	400	30	∗+−+	∗+−+	NOUN
ejge-4329	400	31	∂	∂	NUM
ejge-4329	400	32	∂	∂	NUM
ejge-4329	400	33	)	)	PUNCT
ejge-4329	400	34	)	)	PUNCT
ejge-4329	400	35	,	,	PUNCT
ejge-4329	400	36	(	(	PUNCT
ejge-4329	400	37	(	(	PUNCT
ejge-4329	400	38	)	)	PUNCT
ejge-4329	400	39	)	)	PUNCT
ejge-4329	400	40	)	)	PUNCT
ejge-4329	400	41	,	,	PUNCT
ejge-4329	400	42	(	(	PUNCT
ejge-4329	400	43	(	(	PUNCT
ejge-4329	400	44	)	)	PUNCT
ejge-4329	400	45	,	,	PUNCT
ejge-4329	400	46	(	(	PUNCT
ejge-4329	400	47	(	(	PUNCT
ejge-4329	400	48	)	)	PUNCT
ejge-4329	400	49	)	)	PUNCT
ejge-4329	400	50	)	)	PUNCT
ejge-4329	400	51	,	,	PUNCT
ejge-4329	400	52	(	(	PUNCT
ejge-4329	400	53	(	(	PUNCT
ejge-4329	400	54	)	)	PUNCT
ejge-4329	400	55	,	,	PUNCT
ejge-4329	400	56	(	(	PUNCT
ejge-4329	400	57	(	(	PUNCT
ejge-4329	400	58	)	)	PUNCT
ejge-4329	400	59	)	)	PUNCT
ejge-4329	400	60	)	)	PUNCT
ejge-4329	400	61	)	)	PUNCT
ejge-4329	400	62	,	,	PUNCT
ejge-4329	400	63	(	(	PUNCT
ejge-4329	400	64	(	(	PUNCT
ejge-4329	400	65	)	)	PUNCT
ejge-4329	400	66	,	,	PUNCT
ejge-4329	400	67	(	(	PUNCT
ejge-4329	400	68	(	(	PUNCT
ejge-4329	400	69	(	(	PUNCT
ejge-4329	400	70	)	)	PUNCT
ejge-4329	400	71	)	)	PUNCT
ejge-4329	400	72	(	(	PUNCT
ejge-4329	400	73	(	(	PUNCT
ejge-4329	400	74	)	)	PUNCT
ejge-4329	400	75	(	(	PUNCT
ejge-4329	400	76	)	)	PUNCT
ejge-4329	400	77	)	)	PUNCT
ejge-4329	401	1	(	(	PUNCT
ejge-4329	401	2	(=	(=	X
ejge-4329	401	3	~	~	PUNCT
ejge-4329	401	4	1	1	X
ejge-4329	401	5	.	.	PUNCT
ejge-4329	401	6	.	.	PUNCT
ejge-4329	402	1	21	21	NUM
ejge-4329	402	2	.	.	PUNCT
ejge-4329	402	3	..	..	PUNCT
ejge-4329	403	1	ztpe	ztpe	NOUN
ejge-4329	403	2	ztpetpmztpetpmztpetpmtpqtptpq	ztpetpmztpetpmztpetpmtpqtptpq	PROPN
ejge-4329	404	1	p	p	NOUN
ejge-4329	404	2	h	h	NOUN
ejge-4329	404	3	ς	ς	PROPN
ejge-4329	404	4			PROPN
ejge-4329	404	5			PROPN
ejge-4329	404	6			PROPN
ejge-4329	404	7			PROPN
ejge-4329	404	8			ADJ
ejge-4329	404	9			ADJ
ejge-4329	404	10			NUM
ejge-4329	404	11			NOUN
ejge-4329	404	12	+	+	X
ejge-4329	405	1	+	+	PROPN
ejge-4329	405	2	+	+	ADJ
ejge-4329	405	3	∗+	∗+	NOUN
ejge-4329	405	4	)	)	PUNCT
ejge-4329	405	5	)	)	PUNCT
ejge-4329	405	6	,	,	PUNCT
ejge-4329	405	7	(	(	PUNCT
ejge-4329	405	8	(	(	PUNCT
ejge-4329	405	9	)	)	PUNCT
ejge-4329	405	10	)	)	PUNCT
ejge-4329	405	11	)	)	PUNCT
ejge-4329	405	12	,	,	PUNCT
ejge-4329	405	13	(	(	PUNCT
ejge-4329	405	14	(	(	PUNCT
ejge-4329	405	15	)	)	PUNCT
ejge-4329	405	16	,	,	PUNCT
ejge-4329	405	17	(	(	PUNCT
ejge-4329	405	18	(	(	PUNCT
ejge-4329	405	19	)	)	PUNCT
ejge-4329	405	20	)	)	PUNCT
ejge-4329	405	21	,	,	PUNCT
ejge-4329	405	22	(	(	PUNCT
ejge-4329	405	23	(	(	PUNCT
ejge-4329	405	24	)	)	PUNCT
ejge-4329	405	25	)	)	PUNCT
ejge-4329	405	26	)	)	PUNCT
ejge-4329	405	27	,	,	PUNCT
ejge-4329	405	28	(	(	PUNCT
ejge-4329	405	29	(	(	PUNCT
ejge-4329	405	30	)	)	PUNCT
ejge-4329	405	31	,	,	PUNCT
ejge-4329	405	32	(	(	PUNCT
ejge-4329	405	33	(	(	PUNCT
ejge-4329	405	34	)	)	PUNCT
ejge-4329	405	35	)	)	PUNCT
ejge-4329	405	36	,	,	PUNCT
ejge-4329	405	37	(	(	PUNCT
ejge-4329	405	38	(	(	PUNCT
ejge-4329	405	39	)	)	PUNCT
ejge-4329	405	40	)	)	PUNCT
ejge-4329	405	41	)	)	PUNCT
ejge-4329	405	42	,	,	PUNCT
ejge-4329	405	43	(	(	PUNCT
ejge-4329	405	44	(	(	PUNCT
ejge-4329	405	45	)	)	PUNCT
ejge-4329	405	46	,	,	PUNCT
ejge-4329	405	47	(	(	PUNCT
ejge-4329	405	48	(	(	PUNCT
ejge-4329	405	49	)	)	PUNCT
ejge-4329	405	50	)	)	PUNCT
ejge-4329	405	51	)	)	PUNCT
ejge-4329	405	52	,	,	PUNCT
ejge-4329	405	53	(	(	PUNCT
ejge-4329	405	54	(	(	PUNCT
ejge-4329	405	55	)	)	PUNCT
ejge-4329	405	56	,	,	PUNCT
ejge-4329	405	57	(	(	PUNCT
ejge-4329	405	58	(	(	PUNCT
ejge-4329	405	59	)	)	PUNCT
ejge-4329	405	60	(	(	PUNCT
ejge-4329	405	61	)	)	PUNCT
ejge-4329	405	62	(	(	PUNCT
ejge-4329	405	63	2	2	NUM
ejge-4329	405	64	1	1	NUM
ejge-4329	405	65	..	..	PUNCT
ejge-4329	405	66	221	221	NUM
ejge-4329	405	67	..	..	PUNCT
ejge-4329	405	68	21	21	NUM
ejge-4329	405	69	1	1	NUM
ejge-4329	405	70	..	..	SYM
ejge-4329	405	71	12	12	NUM
ejge-4329	405	72	..	..	PUNCT
ejge-4329	405	73	11	11	NUM
ejge-4329	405	74	.	.	PUNCT
ejge-4329	406	1	ztpeztpetpmztpeztpetpm	ztpeztpetpmztpeztpetpm	PROPN
ejge-4329	406	2	ztpeztpetpmztpetpm	ztpeztpetpmztpetpm	PROPN
ejge-4329	406	3	tptµ	tptµ	VERB
ejge-4329	406	4	=	=	PUNCT
ejge-4329	406	5	0	0	PUNCT
ejge-4329	407	1	[	[	X
ejge-4329	407	2	38	38	NUM
ejge-4329	407	3	]	]	PUNCT
ejge-4329	407	4	and	and	CCONJ
ejge-4329	407	5	)	)	PUNCT
ejge-4329	407	6	)	)	PUNCT
ejge-4329	407	7	)	)	PUNCT
ejge-4329	407	8	.),((),(((=	.),((),(((=	PUNCT
ejge-4329	408	1	~	~	PUNCT
ejge-4329	408	2	=	=	PUNCT
ejge-4329	408	3	..	..	PUNCT
ejge-4329	409	1	ztpetpm	ztpetpm	PROPN
ejge-4329	409	2	m	m	VERB
ejge-4329	409	3	hr	hr	PROPN
ejge-4329	409	4	ςµµ	ςµµ	PROPN
ejge-4329	409	5	∂	∂	NUM
ejge-4329	409	6	∂	∂	NUM
ejge-4329	409	7	−−	−−	NOUN
ejge-4329	409	8	[	[	X
ejge-4329	409	9	39	39	NUM
ejge-4329	409	10	]	]	PUNCT
ejge-4329	409	11	when	when	SCONJ
ejge-4329	409	12	the	the	DET
ejge-4329	409	13	market	market	NOUN
ejge-4329	409	14	is	be	AUX
ejge-4329	409	15	in	in	ADP
ejge-4329	409	16	equilibrium	equilibrium	NOUN
ejge-4329	409	17	,	,	PUNCT
ejge-4329	409	18	0,=	0,=	NUM
ejge-4329	409	19	)	)	PUNCT
ejge-4329	409	20	(	(	PUNCT
ejge-4329	409	21	.	.	PUNCT
ejge-4329	410	1	tp	tp	NOUN
ejge-4329	410	2	and	and	CCONJ
ejge-4329	410	3	the	the	DET
ejge-4329	410	4	expression	expression	NOUN
ejge-4329	410	5	p	p	PROPN
ejge-4329	410	6	h	h	PROPN
ejge-4329	410	7	∂	∂	NOUN
ejge-4329	410	8	∂	∂	NOUN
ejge-4329	410	9	~	~	PUNCT
ejge-4329	410	10	boils	boil	VERB
ejge-4329	410	11	down	down	ADP
ejge-4329	410	12	to	to	ADP
ejge-4329	410	13	the	the	DET
ejge-4329	410	14	following	following	NOUN
ejge-4329	410	15	:	:	PUNCT
ejge-4329	411	1			PROPN
ejge-4329	411	2			PROPN
ejge-4329	411	3			PROPN
ejge-4329	411	4			PROPN
ejge-4329	411	5			PROPN
ejge-4329	411	6			VERB
ejge-4329	411	7			ADP
ejge-4329	411	8			PROPN
ejge-4329	411	9	∗+−+	∗+−+	NOUN
ejge-4329	411	10	)	)	PUNCT
ejge-4329	411	11	)	)	PUNCT
ejge-4329	411	12	,	,	PUNCT
ejge-4329	411	13	(	(	PUNCT
ejge-4329	411	14	(	(	PUNCT
ejge-4329	411	15	)	)	PUNCT
ejge-4329	411	16	)	)	PUNCT
ejge-4329	411	17	)	)	PUNCT
ejge-4329	411	18	,	,	PUNCT
ejge-4329	411	19	(	(	PUNCT
ejge-4329	411	20	(	(	PUNCT
ejge-4329	411	21	)	)	PUNCT
ejge-4329	411	22	,	,	PUNCT
ejge-4329	411	23	(	(	PUNCT
ejge-4329	411	24	(	(	PUNCT
ejge-4329	411	25	)	)	PUNCT
ejge-4329	411	26	)	)	PUNCT
ejge-4329	411	27	)	)	PUNCT
ejge-4329	411	28	,	,	PUNCT
ejge-4329	411	29	(	(	PUNCT
ejge-4329	411	30	(	(	PUNCT
ejge-4329	411	31	)	)	PUNCT
ejge-4329	411	32	,	,	PUNCT
ejge-4329	411	33	(	(	PUNCT
ejge-4329	411	34	(	(	PUNCT
ejge-4329	411	35	)	)	PUNCT
ejge-4329	411	36	)	)	PUNCT
ejge-4329	411	37	)	)	PUNCT
ejge-4329	411	38	)	)	PUNCT
ejge-4329	411	39	,	,	PUNCT
ejge-4329	411	40	(	(	PUNCT
ejge-4329	411	41	(	(	PUNCT
ejge-4329	411	42	)	)	PUNCT
ejge-4329	411	43	,	,	PUNCT
ejge-4329	411	44	(	(	PUNCT
ejge-4329	411	45	(	(	PUNCT
ejge-4329	411	46	(	(	PUNCT
ejge-4329	411	47	)	)	PUNCT
ejge-4329	411	48	)	)	PUNCT
ejge-4329	411	49	(	(	PUNCT
ejge-4329	411	50	(	(	PUNCT
ejge-4329	411	51	)	)	PUNCT
ejge-4329	411	52	(	(	PUNCT
ejge-4329	411	53	)	)	PUNCT
ejge-4329	411	54	)	)	PUNCT
ejge-4329	411	55	(	(	PUNCT
ejge-4329	411	56	(	(	PUNCT
ejge-4329	411	57	1	1	NUM
ejge-4329	411	58	.	.	PUNCT
ejge-4329	411	59	.	.	PUNCT
ejge-4329	412	1	21	21	NUM
ejge-4329	412	2	.	.	PUNCT
ejge-4329	412	3	..	..	PUNCT
ejge-4329	413	1	ztpe	ztpe	NOUN
ejge-4329	413	2	ztpetpmztpetpmztpetpmtpqtptpq	ztpetpmztpetpmztpetpmtpqtptpq	PROPN
ejge-4329	413	3	ς	ς	PROPN
ejge-4329	413	4	0,=	0,=	NUM
ejge-4329	413	5	,	,	PUNCT
ejge-4329	413	6	)	)	PUNCT
ejge-4329	413	7	)	)	PUNCT
ejge-4329	413	8	,	,	PUNCT
ejge-4329	413	9	(	(	PUNCT
ejge-4329	413	10	(	(	PUNCT
ejge-4329	413	11	)	)	PUNCT
ejge-4329	413	12	)	)	PUNCT
ejge-4329	413	13	)	)	PUNCT
ejge-4329	413	14	,	,	PUNCT
ejge-4329	413	15	(	(	PUNCT
ejge-4329	413	16	(	(	PUNCT
ejge-4329	413	17	)	)	PUNCT
ejge-4329	413	18	,	,	PUNCT
ejge-4329	413	19	(	(	PUNCT
ejge-4329	413	20	(	(	PUNCT
ejge-4329	413	21	)	)	PUNCT
ejge-4329	413	22	)	)	PUNCT
ejge-4329	413	23	)	)	PUNCT
ejge-4329	413	24	,	,	PUNCT
ejge-4329	413	25	(	(	PUNCT
ejge-4329	413	26	(	(	PUNCT
ejge-4329	413	27	)	)	PUNCT
ejge-4329	413	28	,	,	PUNCT
ejge-4329	413	29	(	(	PUNCT
ejge-4329	413	30	(	(	PUNCT
ejge-4329	413	31	)	)	PUNCT
ejge-4329	413	32	)	)	PUNCT
ejge-4329	413	33	)	)	PUNCT
ejge-4329	413	34	)	)	PUNCT
ejge-4329	413	35	,	,	PUNCT
ejge-4329	413	36	(	(	PUNCT
ejge-4329	413	37	(	(	PUNCT
ejge-4329	413	38	)	)	PUNCT
ejge-4329	413	39	,	,	PUNCT
ejge-4329	413	40	(	(	PUNCT
ejge-4329	413	41	(	(	PUNCT
ejge-4329	413	42	(=	(=	NOUN
ejge-4329	413	43	)	)	PUNCT
ejge-4329	413	44	)	)	PUNCT
ejge-4329	413	45	(	(	PUNCT
ejge-4329	413	46	(	(	PUNCT
ejge-4329	413	47	)	)	PUNCT
ejge-4329	413	48	)	)	PUNCT
ejge-4329	413	49	(	(	PUNCT
ejge-4329	413	50	(	(	PUNCT
ejge-4329	413	51	)	)	PUNCT
ejge-4329	413	52	(	(	PUNCT
ejge-4329	413	53	1	1	NUM
ejge-4329	413	54	.	.	PUNCT
ejge-4329	413	55	.	.	PUNCT
ejge-4329	414	1	21	21	NUM
ejge-4329	414	2	.	.	PUNCT
ejge-4329	414	3	..	..	PUNCT
ejge-4329	415	1			PROPN
ejge-4329	415	2			PROPN
ejge-4329	415	3			PROPN
ejge-4329	415	4			PROPN
ejge-4329	415	5			PROPN
ejge-4329	415	6			VERB
ejge-4329	415	7			PRON
ejge-4329	415	8			PROPN
ejge-4329	415	9	∗++	∗++	PROPN
ejge-4329	415	10	ztpe	ztpe	PROPN
ejge-4329	415	11	ztpetpmztpetpmztpetpmtpqtpqtp	ztpetpmztpetpmztpetpmtpqtpqtp	PROPN
ejge-4329	415	12	ς	ς	PROPN
ejge-4329	415	13	,	,	PUNCT
ejge-4329	415	14	)	)	PUNCT
ejge-4329	415	15	)	)	PUNCT
ejge-4329	415	16	(	(	PUNCT
ejge-4329	415	17	(	(	PUNCT
ejge-4329	415	18	)	)	PUNCT
ejge-4329	415	19	)	)	PUNCT
ejge-4329	415	20	,	,	PUNCT
ejge-4329	415	21	(	(	PUNCT
ejge-4329	415	22	(	(	PUNCT
ejge-4329	415	23	)	)	PUNCT
ejge-4329	415	24	)	)	PUNCT
ejge-4329	415	25	)	)	PUNCT
ejge-4329	415	26	,	,	PUNCT
ejge-4329	415	27	(	(	PUNCT
ejge-4329	415	28	(	(	PUNCT
ejge-4329	415	29	)	)	PUNCT
ejge-4329	415	30	,	,	PUNCT
ejge-4329	415	31	(	(	PUNCT
ejge-4329	415	32	(	(	PUNCT
ejge-4329	415	33	)	)	PUNCT
ejge-4329	415	34	)	)	PUNCT
ejge-4329	415	35	(	(	PUNCT
ejge-4329	415	36	(	(	PUNCT
ejge-4329	415	37	)	)	PUNCT
ejge-4329	415	38	)	)	PUNCT
ejge-4329	415	39	)	)	PUNCT
ejge-4329	415	40	,	,	PUNCT
ejge-4329	415	41	(	(	PUNCT
ejge-4329	415	42	(	(	PUNCT
ejge-4329	415	43	)	)	PUNCT
ejge-4329	415	44	,	,	PUNCT
ejge-4329	415	45	(	(	PUNCT
ejge-4329	415	46	(	(	PUNCT
ejge-4329	415	47	)	)	PUNCT
ejge-4329	415	48	)	)	PUNCT
ejge-4329	415	49	)	)	PUNCT
ejge-4329	415	50	)	)	PUNCT
ejge-4329	415	51	,	,	PUNCT
ejge-4329	415	52	(	(	PUNCT
ejge-4329	415	53	(	(	PUNCT
ejge-4329	415	54	)	)	PUNCT
ejge-4329	415	55	,	,	PUNCT
ejge-4329	415	56	(	(	PUNCT
ejge-4329	415	57	(	(	PUNCT
ejge-4329	415	58	(=	(=	NOUN
ejge-4329	415	59	11	11	NUM
ejge-4329	415	60	)	)	PUNCT
ejge-4329	415	61	(	(	PUNCT
ejge-4329	415	62	.	.	PUNCT
ejge-4329	416	1	1	1	NUM
ejge-4329	416	2	..	..	SYM
ejge-4329	416	3	2	2	NUM
ejge-4329	416	4	.	.	SYM
ejge-4329	417	1	1	1	NUM
ejge-4329	417	2	.	.	PUNCT
ejge-4329	417	3	.	.	PUNCT
ejge-4329	418	1			PROPN
ejge-4329	418	2			PROPN
ejge-4329	418	3			PROPN
ejge-4329	418	4			PROPN
ejge-4329	418	5			PROPN
ejge-4329	418	6			VERB
ejge-4329	418	7			X
ejge-4329	418	8			PROPN
ejge-4329	418	9	+	+	PROPN
ejge-4329	418	10			PROPN
ejge-4329	418	11			PROPN
ejge-4329	418	12			PROPN
ejge-4329	418	13			ADJ
ejge-4329	418	14			NUM
ejge-4329	418	15			NOUN
ejge-4329	419	1	+	+	X
ejge-4329	419	2	tpq	tpq	ADP
ejge-4329	419	3	ztpeztpetpm	ztpeztpetpm	NUM
ejge-4329	419	4	tpq	tpq	NOUN
ejge-4329	419	5	ztpetpmztpetpm	ztpetpmztpetpm	PROPN
ejge-4329	419	6	ticitydemandelas	ticitydemandelas	PROPN
ejge-4329	419	7	tp	tp	ADP
ejge-4329	419	8	ς	ς	PROPN
ejge-4329	419	9	suggesting	suggest	VERB
ejge-4329	419	10	that	that	SCONJ
ejge-4329	419	11	the	the	DET
ejge-4329	419	12	price	price	NOUN
ejge-4329	419	13	equals	equal	VERB
ejge-4329	419	14	the	the	DET
ejge-4329	419	15	marginal	marginal	ADJ
ejge-4329	419	16	cost	cost	NOUN
ejge-4329	419	17	(	(	PUNCT
ejge-4329	419	18	the	the	DET
ejge-4329	419	19	right	right	ADJ
ejge-4329	419	20	hand	hand	NOUN
ejge-4329	419	21	side	side	NOUN
ejge-4329	419	22	of	of	ADP
ejge-4329	419	23	the	the	DET
ejge-4329	419	24	above	above	ADJ
ejge-4329	419	25	expression	expression	NOUN
ejge-4329	419	26	is	be	AUX
ejge-4329	419	27	the	the	DET
ejge-4329	419	28	marginal	marginal	ADJ
ejge-4329	419	29	cost	cost	NOUN
ejge-4329	419	30	in	in	ADP
ejge-4329	419	31	a	a	DET
ejge-4329	419	32	dynamic	dynamic	ADJ
ejge-4329	419	33	setting	setting	NOUN
ejge-4329	419	34	,	,	PUNCT
ejge-4329	419	35	which	which	PRON
ejge-4329	419	36	is	be	AUX
ejge-4329	419	37	different	different	ADJ
ejge-4329	419	38	from	from	ADP
ejge-4329	419	39	that	that	PRON
ejge-4329	419	40	in	in	ADP
ejge-4329	419	41	a	a	DET
ejge-4329	419	42	static	static	ADJ
ejge-4329	419	43	problem	problem	NOUN
ejge-4329	419	44	on	on	ADP
ejge-4329	419	45	account	account	NOUN
ejge-4329	419	46	of	of	ADP
ejge-4329	419	47	the	the	DET
ejge-4329	419	48	fact	fact	NOUN
ejge-4329	419	49	that	that	SCONJ
ejge-4329	419	50	in	in	ADP
ejge-4329	419	51	a	a	DET
ejge-4329	419	52	dynamic	dynamic	ADJ
ejge-4329	419	53	setting	set	VERB
ejge-4329	419	54	the	the	DET
ejge-4329	419	55	middleman	middleman	NOUN
ejge-4329	419	56	also	also	ADV
ejge-4329	419	57	takes	take	VERB
ejge-4329	419	58	into	into	ADP
ejge-4329	419	59	account	account	NOUN
ejge-4329	419	60	the	the	DET
ejge-4329	419	61	impact	impact	NOUN
ejge-4329	419	62	of	of	ADP
ejge-4329	419	63	price	price	NOUN
ejge-4329	419	64	chosen	choose	VERB
ejge-4329	419	65	on	on	ADP
ejge-4329	419	66	his	his	PRON
ejge-4329	419	67	purchase	purchase	NOUN
ejge-4329	419	68	price	price	NOUN
ejge-4329	419	69	from	from	ADP
ejge-4329	419	70	the	the	DET
ejge-4329	419	71	producer	producer	NOUN
ejge-4329	419	72	)	)	PUNCT
ejge-4329	419	73	when	when	SCONJ
ejge-4329	419	74	the	the	DET
ejge-4329	419	75	demand	demand	NOUN
ejge-4329	419	76	is	be	AUX
ejge-4329	419	77	infinitely	infinitely	ADV
ejge-4329	419	78	elastic	elastic	ADJ
ejge-4329	419	79	.	.	PUNCT
ejge-4329	420	1	now	now	ADV
ejge-4329	420	2	suppose	suppose	VERB
ejge-4329	420	3	that	that	SCONJ
ejge-4329	420	4	as	as	ADP
ejge-4329	420	5	a	a	DET
ejge-4329	420	6	result	result	NOUN
ejge-4329	420	7	of	of	ADP
ejge-4329	420	8	a	a	DET
ejge-4329	420	9	supply	supply	NOUN
ejge-4329	420	10	shock	shock	NOUN
ejge-4329	420	11	,	,	PUNCT
ejge-4329	420	12	if	if	SCONJ
ejge-4329	420	13	the	the	DET
ejge-4329	420	14	middleman	middleman	NOUN
ejge-4329	420	15	wants	want	VERB
ejge-4329	420	16	to	to	PART
ejge-4329	420	17	hold	hold	VERB
ejge-4329	420	18	an	an	DET
ejge-4329	420	19	extra	extra	ADJ
ejge-4329	420	20	unit	unit	NOUN
ejge-4329	420	21	of	of	ADP
ejge-4329	420	22	inventory	inventory	NOUN
ejge-4329	420	23	,	,	PUNCT
ejge-4329	420	24	then	then	ADV
ejge-4329	420	25	the	the	DET
ejge-4329	420	26	marginal	marginal	ADJ
ejge-4329	420	27	cost	cost	NOUN
ejge-4329	420	28	of	of	ADP
ejge-4329	420	29	holding	hold	VERB
ejge-4329	420	30	an	an	DET
ejge-4329	420	31	extra	extra	ADJ
ejge-4329	420	32	unit	unit	NOUN
ejge-4329	420	33	is	be	AUX
ejge-4329	420	34	higher	high	ADJ
ejge-4329	420	35	because	because	SCONJ
ejge-4329	420	36	the	the	DET
ejge-4329	420	37	term	term	NOUN
ejge-4329	420	38	)	)	PUNCT
ejge-4329	420	39	)	)	PUNCT
ejge-4329	420	40	)	)	PUNCT
ejge-4329	420	41	)	)	PUNCT
ejge-4329	420	42	,	,	PUNCT
ejge-4329	420	43	(	(	PUNCT
ejge-4329	420	44	(	(	PUNCT
ejge-4329	420	45	)	)	PUNCT
ejge-4329	420	46	,	,	PUNCT
ejge-4329	420	47	(	(	PUNCT
ejge-4329	420	48	(	(	PUNCT
ejge-4329	420	49	(	(	PUNCT
ejge-4329	420	50	.	.	PUNCT
ejge-4329	420	51	ztpetpmς	ztpetpmς	NOUN
ejge-4329	420	52	is	be	AUX
ejge-4329	420	53	higher	high	ADJ
ejge-4329	420	54	at	at	ADP
ejge-4329	420	55	the	the	DET
ejge-4329	420	56	previous	previous	ADJ
ejge-4329	420	57	price	price	NOUN
ejge-4329	420	58	at	at	ADP
ejge-4329	420	59	that	that	DET
ejge-4329	420	60	point	point	NOUN
ejge-4329	420	61	in	in	ADP
ejge-4329	420	62	time	time	NOUN
ejge-4329	420	63	.	.	PUNCT
ejge-4329	421	1	the	the	DET
ejge-4329	421	2	term	term	NOUN
ejge-4329	421	3	in	in	ADP
ejge-4329	421	4	parentheses	parenthesis	NOUN
ejge-4329	421	5	in	in	ADP
ejge-4329	421	6	the	the	DET
ejge-4329	421	7	expression	expression	NOUN
ejge-4329	421	8	of	of	ADP
ejge-4329	421	9	the	the	DET
ejge-4329	421	10	marginal	marginal	ADJ
ejge-4329	421	11	cost	cost	NOUN
ejge-4329	421	12	,	,	PUNCT
ejge-4329	421	13	i.e.	i.e.	X
ejge-4329	421	14	)	)	PUNCT
ejge-4329	421	15	)	)	PUNCT
ejge-4329	421	16	(	(	PUNCT
ejge-4329	421	17	(	(	PUNCT
ejge-4329	421	18	)	)	PUNCT
ejge-4329	421	19	)	)	PUNCT
ejge-4329	421	20	,	,	PUNCT
ejge-4329	421	21	(	(	PUNCT
ejge-4329	421	22	(	(	PUNCT
ejge-4329	421	23	)	)	PUNCT
ejge-4329	421	24	)	)	PUNCT
ejge-4329	421	25	)	)	PUNCT
ejge-4329	421	26	,	,	PUNCT
ejge-4329	421	27	(	(	PUNCT
ejge-4329	421	28	(	(	PUNCT
ejge-4329	421	29	)	)	PUNCT
ejge-4329	421	30	,	,	PUNCT
ejge-4329	421	31	(	(	PUNCT
ejge-4329	421	32	(	(	PUNCT
ejge-4329	421	33	)	)	PUNCT
ejge-4329	421	34	)	)	PUNCT
ejge-4329	421	35	(	(	PUNCT
ejge-4329	421	36	(	(	PUNCT
ejge-4329	421	37	)	)	PUNCT
ejge-4329	421	38	)	)	PUNCT
ejge-4329	421	39	)	)	PUNCT
ejge-4329	421	40	,	,	PUNCT
ejge-4329	421	41	(	(	PUNCT
ejge-4329	421	42	(	(	PUNCT
ejge-4329	421	43	)	)	PUNCT
ejge-4329	421	44	,	,	PUNCT
ejge-4329	421	45	(	(	PUNCT
ejge-4329	421	46	(	(	PUNCT
ejge-4329	421	47	.	.	PUNCT
ejge-4329	421	48	1	1	NUM
ejge-4329	421	49	..	..	SYM
ejge-4329	421	50	2	2	NUM
ejge-4329	421	51	.	.	SYM
ejge-4329	421	52	1	1	NUM
ejge-4329	421	53	.	.	PUNCT
ejge-4329	422	1	tpq	tpq	ADP
ejge-4329	422	2	ztpeztpetpm	ztpeztpetpm	PROPN
ejge-4329	422	3	tpq	tpq	PROPN
ejge-4329	422	4	ztpetpm	ztpetpm	PROPN
ejge-4329	422	5	+	+	CCONJ
ejge-4329	422	6	is	be	AUX
ejge-4329	422	7	a	a	DET
ejge-4329	422	8	function	function	NOUN
ejge-4329	422	9	of	of	ADP
ejge-4329	422	10	price	price	NOUN
ejge-4329	422	11	and	and	CCONJ
ejge-4329	422	12	is	be	AUX
ejge-4329	422	13	the	the	DET
ejge-4329	422	14	same	same	ADJ
ejge-4329	422	15	at	at	ADP
ejge-4329	422	16	the	the	DET
ejge-4329	422	17	previous	previous	ADJ
ejge-4329	422	18	price	price	NOUN
ejge-4329	422	19	.	.	PUNCT
ejge-4329	423	1	this	this	PRON
ejge-4329	423	2	implies	imply	VERB
ejge-4329	423	3	that	that	SCONJ
ejge-4329	423	4	on	on	ADP
ejge-4329	423	5	the	the	DET
ejge-4329	423	6	previous	previous	ADJ
ejge-4329	423	7	price	price	NOUN
ejge-4329	423	8	,	,	PUNCT
ejge-4329	423	9	now	now	ADV
ejge-4329	423	10	the	the	DET
ejge-4329	423	11	middleman	middleman	NOUN
ejge-4329	423	12	faces	face	VERB
ejge-4329	423	13	214	214	NUM
ejge-4329	423	14	n.	n.	NOUN
ejge-4329	423	15	nawaz	nawaz	ADJ
ejge-4329	423	16	/	/	SYM
ejge-4329	423	17	european	european	ADJ
ejge-4329	423	18	journal	journal	PROPN
ejge-4329	423	19	of	of	ADP
ejge-4329	423	20	government	government	NOUN
ejge-4329	423	21	and	and	CCONJ
ejge-4329	423	22	economics	economic	NOUN
ejge-4329	423	23	6(2	6(2	NUM
ejge-4329	423	24	)	)	PUNCT
ejge-4329	423	25	,	,	PUNCT
ejge-4329	423	26	191	191	NUM
ejge-4329	423	27	-	-	SYM
ejge-4329	423	28	225	225	NUM
ejge-4329	423	29			NOUN
ejge-4329	423	30			PROPN
ejge-4329	423	31			PROPN
ejge-4329	423	32			PROPN
ejge-4329	423	33			PROPN
ejge-4329	423	34			VERB
ejge-4329	423	35			ADP
ejge-4329	423	36			PROPN
ejge-4329	423	37	∗+−+	∗+−+	NOUN
ejge-4329	423	38	∂	∂	NUM
ejge-4329	423	39	∂	∂	NUM
ejge-4329	423	40	)	)	PUNCT
ejge-4329	423	41	)	)	PUNCT
ejge-4329	423	42	,	,	PUNCT
ejge-4329	423	43	(	(	PUNCT
ejge-4329	423	44	(	(	PUNCT
ejge-4329	423	45	)	)	PUNCT
ejge-4329	423	46	)	)	PUNCT
ejge-4329	423	47	)	)	PUNCT
ejge-4329	423	48	,	,	PUNCT
ejge-4329	423	49	(	(	PUNCT
ejge-4329	423	50	(	(	PUNCT
ejge-4329	423	51	)	)	PUNCT
ejge-4329	423	52	,	,	PUNCT
ejge-4329	423	53	(	(	PUNCT
ejge-4329	423	54	(	(	PUNCT
ejge-4329	423	55	)	)	PUNCT
ejge-4329	423	56	)	)	PUNCT
ejge-4329	423	57	)	)	PUNCT
ejge-4329	423	58	,	,	PUNCT
ejge-4329	423	59	(	(	PUNCT
ejge-4329	423	60	(	(	PUNCT
ejge-4329	423	61	)	)	PUNCT
ejge-4329	423	62	,	,	PUNCT
ejge-4329	423	63	(	(	PUNCT
ejge-4329	423	64	(	(	PUNCT
ejge-4329	423	65	)	)	PUNCT
ejge-4329	423	66	)	)	PUNCT
ejge-4329	423	67	)	)	PUNCT
ejge-4329	423	68	)	)	PUNCT
ejge-4329	423	69	,	,	PUNCT
ejge-4329	423	70	(	(	PUNCT
ejge-4329	423	71	(	(	PUNCT
ejge-4329	423	72	)	)	PUNCT
ejge-4329	423	73	,	,	PUNCT
ejge-4329	423	74	(	(	PUNCT
ejge-4329	423	75	(	(	PUNCT
ejge-4329	423	76	(	(	PUNCT
ejge-4329	423	77	)	)	PUNCT
ejge-4329	423	78	)	)	PUNCT
ejge-4329	423	79	(	(	PUNCT
ejge-4329	423	80	(	(	PUNCT
ejge-4329	423	81	)	)	PUNCT
ejge-4329	423	82	(	(	PUNCT
ejge-4329	423	83	)	)	PUNCT
ejge-4329	423	84	)	)	PUNCT
ejge-4329	424	1	(	(	PUNCT
ejge-4329	424	2	(=	(=	X
ejge-4329	424	3	~	~	PUNCT
ejge-4329	424	4	1	1	X
ejge-4329	424	5	.	.	PUNCT
ejge-4329	424	6	.	.	PUNCT
ejge-4329	425	1	21	21	NUM
ejge-4329	425	2	.	.	PUNCT
ejge-4329	425	3	..	..	PUNCT
ejge-4329	426	1	ztpe	ztpe	NOUN
ejge-4329	426	2	ztpetpmztpetpmztpetpmtpqtptpq	ztpetpmztpetpmztpetpmtpqtptpq	PROPN
ejge-4329	427	1	p	p	NOUN
ejge-4329	427	2	h	h	NOUN
ejge-4329	427	3	ς	ς	PROPN
ejge-4329	427	4			PROPN
ejge-4329	427	5			PROPN
ejge-4329	427	6			PROPN
ejge-4329	427	7			PROPN
ejge-4329	427	8			ADJ
ejge-4329	427	9			ADJ
ejge-4329	427	10			NUM
ejge-4329	427	11			NOUN
ejge-4329	427	12	+	+	X
ejge-4329	428	1	+	+	PROPN
ejge-4329	428	2	+	+	ADJ
ejge-4329	428	3	∗+	∗+	NOUN
ejge-4329	428	4	)	)	PUNCT
ejge-4329	428	5	)	)	PUNCT
ejge-4329	428	6	,	,	PUNCT
ejge-4329	428	7	(	(	PUNCT
ejge-4329	428	8	(	(	PUNCT
ejge-4329	428	9	)	)	PUNCT
ejge-4329	428	10	)	)	PUNCT
ejge-4329	428	11	)	)	PUNCT
ejge-4329	428	12	,	,	PUNCT
ejge-4329	428	13	(	(	PUNCT
ejge-4329	428	14	(	(	PUNCT
ejge-4329	428	15	)	)	PUNCT
ejge-4329	428	16	,	,	PUNCT
ejge-4329	428	17	(	(	PUNCT
ejge-4329	428	18	(	(	PUNCT
ejge-4329	428	19	)	)	PUNCT
ejge-4329	428	20	)	)	PUNCT
ejge-4329	428	21	,	,	PUNCT
ejge-4329	428	22	(	(	PUNCT
ejge-4329	428	23	(	(	PUNCT
ejge-4329	428	24	)	)	PUNCT
ejge-4329	428	25	)	)	PUNCT
ejge-4329	428	26	)	)	PUNCT
ejge-4329	428	27	,	,	PUNCT
ejge-4329	428	28	(	(	PUNCT
ejge-4329	428	29	(	(	PUNCT
ejge-4329	428	30	)	)	PUNCT
ejge-4329	428	31	,	,	PUNCT
ejge-4329	428	32	(	(	PUNCT
ejge-4329	428	33	(	(	PUNCT
ejge-4329	428	34	)	)	PUNCT
ejge-4329	428	35	)	)	PUNCT
ejge-4329	428	36	,	,	PUNCT
ejge-4329	428	37	(	(	PUNCT
ejge-4329	428	38	(	(	PUNCT
ejge-4329	428	39	)	)	PUNCT
ejge-4329	428	40	)	)	PUNCT
ejge-4329	428	41	)	)	PUNCT
ejge-4329	428	42	,	,	PUNCT
ejge-4329	428	43	(	(	PUNCT
ejge-4329	428	44	(	(	PUNCT
ejge-4329	428	45	)	)	PUNCT
ejge-4329	428	46	,	,	PUNCT
ejge-4329	428	47	(	(	PUNCT
ejge-4329	428	48	(	(	PUNCT
ejge-4329	428	49	)	)	PUNCT
ejge-4329	428	50	)	)	PUNCT
ejge-4329	428	51	)	)	PUNCT
ejge-4329	428	52	,	,	PUNCT
ejge-4329	428	53	(	(	PUNCT
ejge-4329	428	54	(	(	PUNCT
ejge-4329	428	55	)	)	PUNCT
ejge-4329	428	56	,	,	PUNCT
ejge-4329	428	57	(	(	PUNCT
ejge-4329	428	58	(	(	PUNCT
ejge-4329	428	59	)	)	PUNCT
ejge-4329	428	60	(	(	PUNCT
ejge-4329	428	61	)	)	PUNCT
ejge-4329	428	62	(	(	PUNCT
ejge-4329	428	63	2	2	NUM
ejge-4329	428	64	1	1	NUM
ejge-4329	428	65	..	..	PUNCT
ejge-4329	428	66	221	221	NUM
ejge-4329	428	67	..	..	PUNCT
ejge-4329	428	68	21	21	NUM
ejge-4329	428	69	1	1	NUM
ejge-4329	428	70	..	..	SYM
ejge-4329	428	71	12	12	NUM
ejge-4329	428	72	..	..	PUNCT
ejge-4329	428	73	11	11	NUM
ejge-4329	428	74	.	.	PUNCT
ejge-4329	429	1	ztpeztpetpmztpeztpetpm	ztpeztpetpmztpeztpetpm	PROPN
ejge-4329	429	2	ztpeztpetpmztpetpm	ztpeztpetpmztpetpm	PROPN
ejge-4329	429	3	tptµ	tptµ	VERB
ejge-4329	429	4	0	0	NUM
ejge-4329	429	5	.	.	PUNCT
ejge-4329	429	6	<	<	X
ejge-4329	430	1	therefore	therefore	ADV
ejge-4329	430	2	in	in	ADP
ejge-4329	430	3	order	order	NOUN
ejge-4329	430	4	to	to	PART
ejge-4329	430	5	satisfy	satisfy	VERB
ejge-4329	430	6	the	the	DET
ejge-4329	430	7	condition	condition	NOUN
ejge-4329	430	8	of	of	ADP
ejge-4329	430	9	dynamic	dynamic	ADJ
ejge-4329	430	10	optimization	optimization	NOUN
ejge-4329	430	11	,	,	PUNCT
ejge-4329	430	12	the	the	DET
ejge-4329	430	13	middleman	middleman	NOUN
ejge-4329	430	14	must	must	AUX
ejge-4329	430	15	decrease	decrease	VERB
ejge-4329	430	16	the	the	DET
ejge-4329	430	17	price	price	NOUN
ejge-4329	430	18	for	for	ADP
ejge-4329	430	19	an	an	DET
ejge-4329	430	20	increase	increase	NOUN
ejge-4329	430	21	in	in	ADP
ejge-4329	430	22	inventory	inventory	NOUN
ejge-4329	430	23	.	.	PUNCT
ejge-4329	431	1	this	this	PRON
ejge-4329	431	2	implies	imply	VERB
ejge-4329	431	3	a	a	DET
ejge-4329	431	4	negative	negative	ADJ
ejge-4329	431	5	relationship	relationship	NOUN
ejge-4329	431	6	between	between	ADP
ejge-4329	431	7	price	price	NOUN
ejge-4329	431	8	and	and	CCONJ
ejge-4329	431	9	inventory	inventory	NOUN
ejge-4329	431	10	.	.	PUNCT
ejge-4329	432	1	the	the	DET
ejge-4329	432	2	concept	concept	NOUN
ejge-4329	432	3	of	of	ADP
ejge-4329	432	4	inventory	inventory	NOUN
ejge-4329	432	5	unifies	unify	VERB
ejge-4329	432	6	the	the	DET
ejge-4329	432	7	market	market	NOUN
ejge-4329	432	8	supply	supply	NOUN
ejge-4329	432	9	and	and	CCONJ
ejge-4329	432	10	demand	demand	NOUN
ejge-4329	432	11	.	.	PUNCT
ejge-4329	433	1	if	if	SCONJ
ejge-4329	433	2	the	the	DET
ejge-4329	433	3	supply	supply	NOUN
ejge-4329	433	4	and	and	CCONJ
ejge-4329	433	5	demand	demand	NOUN
ejge-4329	433	6	rates	rate	NOUN
ejge-4329	433	7	are	be	AUX
ejge-4329	433	8	equal	equal	ADJ
ejge-4329	433	9	,	,	PUNCT
ejge-4329	433	10	the	the	DET
ejge-4329	433	11	market	market	NOUN
ejge-4329	433	12	is	be	AUX
ejge-4329	433	13	in	in	ADP
ejge-4329	433	14	a	a	DET
ejge-4329	433	15	steady	steady	ADJ
ejge-4329	433	16	state	state	NOUN
ejge-4329	433	17	equilibrium	equilibrium	NOUN
ejge-4329	433	18	.	.	PUNCT
ejge-4329	434	1	if	if	SCONJ
ejge-4329	434	2	a	a	DET
ejge-4329	434	3	difference	difference	NOUN
ejge-4329	434	4	of	of	ADP
ejge-4329	434	5	finite	finite	ADJ
ejge-4329	434	6	magnitude	magnitude	NOUN
ejge-4329	434	7	is	be	AUX
ejge-4329	434	8	created	create	VERB
ejge-4329	434	9	between	between	ADP
ejge-4329	434	10	the	the	DET
ejge-4329	434	11	supply	supply	NOUN
ejge-4329	434	12	and	and	CCONJ
ejge-4329	434	13	demand	demand	NOUN
ejge-4329	434	14	rates	rate	NOUN
ejge-4329	434	15	and	and	CCONJ
ejge-4329	434	16	the	the	DET
ejge-4329	434	17	consumer	consumer	NOUN
ejge-4329	434	18	and	and	CCONJ
ejge-4329	434	19	the	the	DET
ejge-4329	434	20	producer	producer	NOUN
ejge-4329	434	21	do	do	AUX
ejge-4329	434	22	not	not	PART
ejge-4329	434	23	react	react	VERB
ejge-4329	434	24	to	to	ADP
ejge-4329	434	25	a	a	DET
ejge-4329	434	26	price	price	NOUN
ejge-4329	434	27	change	change	NOUN
ejge-4329	434	28	induced	induce	VERB
ejge-4329	434	29	by	by	ADP
ejge-4329	434	30	a	a	DET
ejge-4329	434	31	difference	difference	NOUN
ejge-4329	434	32	in	in	ADP
ejge-4329	434	33	the	the	DET
ejge-4329	434	34	supply	supply	NOUN
ejge-4329	434	35	and	and	CCONJ
ejge-4329	434	36	demand	demand	NOUN
ejge-4329	434	37	rates	rate	NOUN
ejge-4329	434	38	,	,	PUNCT
ejge-4329	434	39	the	the	DET
ejge-4329	434	40	price	price	NOUN
ejge-4329	434	41	will	will	AUX
ejge-4329	434	42	continue	continue	VERB
ejge-4329	434	43	changing	change	VERB
ejge-4329	434	44	until	until	SCONJ
ejge-4329	434	45	the	the	DET
ejge-4329	434	46	system	system	NOUN
ejge-4329	434	47	saturates	saturate	VERB
ejge-4329	434	48	.	.	PUNCT
ejge-4329	435	1	this	this	DET
ejge-4329	435	2	behavior	behavior	NOUN
ejge-4329	435	3	can	can	AUX
ejge-4329	435	4	be	be	AUX
ejge-4329	435	5	depicted	depict	VERB
ejge-4329	435	6	by	by	ADP
ejge-4329	435	7	the	the	DET
ejge-4329	435	8	following	follow	VERB
ejge-4329	435	9	formulation	formulation	NOUN
ejge-4329	435	10	:	:	PUNCT
ejge-4329	435	11	inventory.market	inventory.market	NOUN
ejge-4329	435	12	in	in	ADP
ejge-4329	435	13	changechange	changechange	NOUN
ejge-4329	435	14	price	price	NOUN
ejge-4329	435	15	∝	∝	NOUN
ejge-4329	435	16	change	change	NOUN
ejge-4329	435	17	.	.	PUNCT
ejge-4329	436	1	price	price	NOUN
ejge-4329	436	2	=	=	NOUN
ejge-4329	436	3	p	p	NOUN
ejge-4329	436	4	market	market	NOUN
ejge-4329	436	5	,	,	PUNCT
ejge-4329	436	6	in	in	ADP
ejge-4329	436	7	theinventory	theinventory	NOUN
ejge-4329	436	8	in	in	ADP
ejge-4329	436	9	change==	change==	PROPN
ejge-4329	436	10	smmm	smmm	NOUN
ejge-4329	436	11	−	−	PROPN
ejge-4329	436	12	at	at	ADP
ejge-4329	436	13	timeinventory	timeinventory	NOUN
ejge-4329	436	14	=	=	PROPN
ejge-4329	436	15	m	m	PROPN
ejge-4329	436	16	t	t	PROPN
ejge-4329	436	17	,	,	PUNCT
ejge-4329	436	18	state.steady	state.steady	PROPN
ejge-4329	436	19	in	in	ADP
ejge-4329	436	20	inventory	inventory	NOUN
ejge-4329	436	21	=	=	X
ejge-4329	436	22	sm	sm	INTJ
ejge-4329	436	23	,	,	PUNCT
ejge-4329	436	24	=)	=)	PROPN
ejge-4329	436	25	(=	(=	X
ejge-4329	436	26	=	=	NOUN
ejge-4329	436	27	outputinput	outputinput	VERB
ejge-4329	436	28	dt	dt	INTJ
ejge-4329	436	29	dm	dm	INTJ
ejge-4329	436	30	dt	dt	NOUN
ejge-4329	436	31	mmd	mmd	PROPN
ejge-4329	437	1	dt	dt	NOUN
ejge-4329	438	1	dm	dm	PROPN
ejge-4329	438	2	s−	s−	PROPN
ejge-4329	438	3	−	−	PROPN
ejge-4329	438	4	(	(	PUNCT
ejge-4329	438	5	)	)	PUNCT
ejge-4329	438	6	.outputinput	.outputinput	NOUN
ejge-4329	438	7	=	=	SYM
ejge-4329	438	8	or	or	CCONJ
ejge-4329	438	9	dtm	dtm	PROPN
ejge-4329	438	10	−∫	−∫	NOUN
ejge-4329	438	11	(	(	PUNCT
ejge-4329	438	12	)	)	PUNCT
ejge-4329	438	13	or	or	CCONJ
ejge-4329	438	14	,	,	PUNCT
ejge-4329	438	15	rate	rate	NOUN
ejge-4329	438	16	demandratesupply	demandratesupply	NOUN
ejge-4329	438	17	change	change	VERB
ejge-4329	438	18	price	price	NOUN
ejge-4329	438	19	dt−∝	dt−∝	PROPN
ejge-4329	438	20	∫	∫	PROPN
ejge-4329	438	21	(	(	PUNCT
ejge-4329	438	22	)	)	PUNCT
ejge-4329	438	23	,	,	PUNCT
ejge-4329	438	24	rate	rate	NOUN
ejge-4329	438	25	demandratesupply	demandratesupply	NOUN
ejge-4329	438	26	=	=	PUNCT
ejge-4329	438	27	dtkp	dtkp	PROPN
ejge-4329	438	28	m	m	PROPN
ejge-4329	438	29	−−	−−	PROPN
ejge-4329	438	30	∫	∫	PROPN
ejge-4329	438	31	where	where	SCONJ
ejge-4329	438	32	mk	mk	PROPN
ejge-4329	438	33	is	be	AUX
ejge-4329	438	34	the	the	DET
ejge-4329	438	35	proportionality	proportionality	NOUN
ejge-4329	438	36	constant	constant	ADJ
ejge-4329	438	37	.	.	PUNCT
ejge-4329	439	1	a	a	DET
ejge-4329	439	2	negative	negative	ADJ
ejge-4329	439	3	sign	sign	NOUN
ejge-4329	439	4	indicates	indicate	VERB
ejge-4329	439	5	that	that	SCONJ
ejge-4329	439	6	when	when	SCONJ
ejge-4329	439	7	(	(	PUNCT
ejge-4329	439	8	)	)	PUNCT
ejge-4329	439	9	rate	rate	NOUN
ejge-4329	439	10	demandratesupply	demandratesupply	NOUN
ejge-4329	439	11	−	−	PROPN
ejge-4329	439	12	is	be	AUX
ejge-4329	439	13	positive	positive	ADJ
ejge-4329	439	14	,	,	PUNCT
ejge-4329	439	15	then	then	ADV
ejge-4329	439	16	p	p	NOUN
ejge-4329	439	17	is	be	AUX
ejge-4329	439	18	negative	negative	ADJ
ejge-4329	439	19	(	(	PUNCT
ejge-4329	439	20	i.e.	i.e.	X
ejge-4329	439	21	price	price	NOUN
ejge-4329	439	22	decreases	decrease	NOUN
ejge-4329	439	23	)	)	PUNCT
ejge-4329	439	24	.	.	PUNCT
ejge-4329	440	1	the	the	DET
ejge-4329	440	2	above	above	ADJ
ejge-4329	440	3	equation	equation	NOUN
ejge-4329	440	4	can	can	AUX
ejge-4329	440	5	be	be	AUX
ejge-4329	440	6	re	re	VERB
ejge-4329	440	7	-	-	VERB
ejge-4329	440	8	arranged	arranged	ADJ
ejge-4329	440	9	as	as	SCONJ
ejge-4329	440	10	follows	follow	VERB
ejge-4329	440	11	:	:	PUNCT
ejge-4329	440	12	(	(	PUNCT
ejge-4329	440	13	)	)	PUNCT
ejge-4329	440	14	or,=rate	or,=rate	NOUN
ejge-4329	440	15	demandratesupply	demandratesupply	NOUN
ejge-4329	440	16	mk	mk	PROPN
ejge-4329	440	17	pdt	pdt	PROPN
ejge-4329	440	18	−−∫	−−∫	PROPN
ejge-4329	440	19	(	(	PUNCT
ejge-4329	440	20	)	)	PUNCT
ejge-4329	440	21	,	,	PUNCT
ejge-4329	440	22	=	=	NOUN
ejge-4329	440	23	0	0	NUM
ejge-4329	440	24	m	m	VERB
ejge-4329	440	25	i	i	NOUN
ejge-4329	440	26	k	k	NOUN
ejge-4329	440	27	pdtww	pdtww	NOUN
ejge-4329	440	28	−−∫	−−∫	ADP
ejge-4329	441	1	[	[	X
ejge-4329	441	2	40	40	NUM
ejge-4329	441	3	]	]	SYM
ejge-4329	441	4	215	215	NUM
ejge-4329	441	5	n.	n.	NOUN
ejge-4329	441	6	nawaz	nawaz	ADJ
ejge-4329	441	7	/	/	SYM
ejge-4329	441	8	european	european	ADJ
ejge-4329	441	9	journal	journal	PROPN
ejge-4329	441	10	of	of	ADP
ejge-4329	441	11	government	government	NOUN
ejge-4329	441	12	and	and	CCONJ
ejge-4329	441	13	economics	economic	NOUN
ejge-4329	441	14	6(2	6(2	NUM
ejge-4329	441	15	)	)	PUNCT
ejge-4329	441	16	,	,	PUNCT
ejge-4329	441	17	191	191	NUM
ejge-4329	441	18	-	-	SYM
ejge-4329	441	19	225	225	NUM
ejge-4329	441	20	,	,	PUNCT
ejge-4329	441	21	ratesupply	ratesupply	VERB
ejge-4329	441	22	=	=	VERB
ejge-4329	441	23	iw	iw	ADJ
ejge-4329	441	24	,	,	PUNCT
ejge-4329	441	25	rate	rate	NOUN
ejge-4329	441	26	demand=0w	demand=0w	NOUN
ejge-4329	441	27	=	=	NUM
ejge-4329	441	28	mk	mk	X
ejge-4329	441	29	dimensional	dimensional	ADJ
ejge-4329	441	30	constant	constant	ADJ
ejge-4329	441	31	.	.	PUNCT
ejge-4329	442	1	let	let	VERB
ejge-4329	442	2	at	at	ADP
ejge-4329	442	3	time	time	NOUN
ejge-4329	442	4	0	0	NUM
ejge-4329	443	1	=	=	SYM
ejge-4329	443	2	t	t	X
ejge-4329	443	3	,	,	PUNCT
ejge-4329	443	4	supply	supply	NOUN
ejge-4329	443	5	rate	rate	NOUN
ejge-4329	443	6	=	=	NOUN
ejge-4329	443	7	demand	demand	NOUN
ejge-4329	443	8	rate	rate	NOUN
ejge-4329	443	9	(	(	PUNCT
ejge-4329	443	10	market	market	NOUN
ejge-4329	443	11	is	be	AUX
ejge-4329	443	12	in	in	ADP
ejge-4329	443	13	a	a	DET
ejge-4329	443	14	steady	steady	ADJ
ejge-4329	443	15	state	state	NOUN
ejge-4329	443	16	equilibrium	equilibrium	NOUN
ejge-4329	443	17	)	)	PUNCT
ejge-4329	443	18	,	,	PUNCT
ejge-4329	443	19	then	then	ADV
ejge-4329	443	20	eq	eq	ADP
ejge-4329	443	21	.	.	PUNCT
ejge-4329	444	1	(	(	PUNCT
ejge-4329	444	2	40	40	NUM
ejge-4329	444	3	)	)	PUNCT
ejge-4329	444	4	can	can	AUX
ejge-4329	444	5	be	be	AUX
ejge-4329	444	6	written	write	VERB
ejge-4329	444	7	as	as	ADP
ejge-4329	444	8	(	(	PUNCT
ejge-4329	444	9	)	)	PUNCT
ejge-4329	444	10	0.=0	0.=0	NOUN
ejge-4329	444	11	dtww	dtww	NOUN
ejge-4329	444	12	sis	sis	NOUN
ejge-4329	444	13	−∫	−∫	NOUN
ejge-4329	445	1	[	[	X
ejge-4329	445	2	41	41	NUM
ejge-4329	445	3	]	]	PUNCT
ejge-4329	445	4	the	the	DET
ejge-4329	445	5	subscript	subscript	NOUN
ejge-4329	445	6	s	s	PART
ejge-4329	445	7	indicates	indicate	VERB
ejge-4329	445	8	the	the	DET
ejge-4329	445	9	steady	steady	ADJ
ejge-4329	445	10	state	state	NOUN
ejge-4329	445	11	equilibrium	equilibrium	NOUN
ejge-4329	445	12	and	and	CCONJ
ejge-4329	445	13	0	0	NUM
ejge-4329	445	14	=	=	NOUN
ejge-4329	445	15	p	p	NOUN
ejge-4329	445	16	in	in	ADP
ejge-4329	445	17	steady	steady	ADJ
ejge-4329	445	18	state	state	NOUN
ejge-4329	445	19	.	.	PUNCT
ejge-4329	446	1	subtracting	subtract	VERB
ejge-4329	446	2	eq	eq	ADP
ejge-4329	446	3	.	.	PUNCT
ejge-4329	447	1	(	(	PUNCT
ejge-4329	447	2	41	41	NUM
ejge-4329	447	3	)	)	PUNCT
ejge-4329	447	4	from	from	ADP
ejge-4329	447	5	eq	eq	ADP
ejge-4329	447	6	.	.	PUNCT
ejge-4329	448	1	(	(	PUNCT
ejge-4329	448	2	40	40	NUM
ejge-4329	448	3	)	)	PUNCT
ejge-4329	448	4	,	,	PUNCT
ejge-4329	448	5	we	we	PRON
ejge-4329	448	6	get	get	VERB
ejge-4329	448	7	:	:	PUNCT
ejge-4329	448	8	(	(	PUNCT
ejge-4329	448	9	)	)	PUNCT
ejge-4329	448	10	(	(	PUNCT
ejge-4329	448	11	)	)	PUNCT
ejge-4329	448	12	or,=00	or,=00	PUNCT
ejge-4329	448	13	m	m	PROPN
ejge-4329	448	14	sisi	sisi	PROPN
ejge-4329	448	15	k	k	X
ejge-4329	448	16	pdtwwdtww	pdtwwdtww	PROPN
ejge-4329	448	17	−−−−	−−−−	NOUN
ejge-4329	449	1	∫∫	∫∫	PROPN
ejge-4329	449	2	(	(	PUNCT
ejge-4329	449	3	)	)	PUNCT
ejge-4329	449	4	,	,	PUNCT
ejge-4329	449	5	=	=	NOUN
ejge-4329	449	6	0	0	NUM
ejge-4329	449	7	m	m	VERB
ejge-4329	449	8	i	i	NOUN
ejge-4329	449	9	k	k	NOUN
ejge-4329	449	10	pdtww	pdtww	NOUN
ejge-4329	449	11	−−∫	−−∫	ADP
ejge-4329	450	1	[	[	X
ejge-4329	450	2	42	42	NUM
ejge-4329	450	3	]	]	PUNCT
ejge-4329	450	4	rate	rate	NOUN
ejge-4329	450	5	,	,	PUNCT
ejge-4329	450	6	supply	supply	NOUN
ejge-4329	450	7	in	in	ADP
ejge-4329	450	8	change==	change==	NOUN
ejge-4329	450	9	where	where	SCONJ
ejge-4329	450	10	iisi	iisi	ADJ
ejge-4329	450	11	www	www	NOUN
ejge-4329	450	12	−	−	PROPN
ejge-4329	450	13	rate	rate	NOUN
ejge-4329	450	14	.	.	PUNCT
ejge-4329	451	1	demandin	demandin	VERB
ejge-4329	451	2	change==	change==	NOUN
ejge-4329	451	3	000	000	NUM
ejge-4329	451	4	www	www	PROPN
ejge-4329	451	5	s−	s−	PROPN
ejge-4329	451	6	,	,	PUNCT
ejge-4329	451	7	p	p	PROPN
ejge-4329	451	8	iw	iw	PROPN
ejge-4329	451	9	and	and	CCONJ
ejge-4329	451	10	0w	0w	NUM
ejge-4329	451	11	are	be	AUX
ejge-4329	451	12	deviation	deviation	NOUN
ejge-4329	451	13	variables	variable	NOUN
ejge-4329	451	14	,	,	PUNCT
ejge-4329	451	15	which	which	PRON
ejge-4329	451	16	indicate	indicate	VERB
ejge-4329	451	17	deviation	deviation	NOUN
ejge-4329	451	18	from	from	ADP
ejge-4329	451	19	the	the	DET
ejge-4329	451	20	steady	steady	ADJ
ejge-4329	451	21	state	state	NOUN
ejge-4329	451	22	equilibrium	equilibrium	NOUN
ejge-4329	451	23	.	.	PUNCT
ejge-4329	452	1	the	the	DET
ejge-4329	452	2	initial	initial	ADJ
ejge-4329	452	3	values	value	NOUN
ejge-4329	452	4	of	of	ADP
ejge-4329	452	5	the	the	DET
ejge-4329	452	6	deviation	deviation	NOUN
ejge-4329	452	7	variables	variable	NOUN
ejge-4329	452	8	are	be	AUX
ejge-4329	452	9	zero	zero	NUM
ejge-4329	452	10	.	.	PUNCT
ejge-4329	453	1	eq	eq	X
ejge-4329	453	2	.	.	PUNCT
ejge-4329	454	1	(	(	PUNCT
ejge-4329	454	2	42	42	NUM
ejge-4329	454	3	)	)	PUNCT
ejge-4329	454	4	may	may	AUX
ejge-4329	454	5	also	also	ADV
ejge-4329	454	6	be	be	AUX
ejge-4329	454	7	written	write	VERB
ejge-4329	454	8	as	as	SCONJ
ejge-4329	454	9	follows	follow	VERB
ejge-4329	454	10	:	:	PUNCT
ejge-4329	454	11	,	,	PUNCT
ejge-4329	454	12	=	=	SYM
ejge-4329	454	13	=	=	SYM
ejge-4329	454	14	mkwdtkp	mkwdtkp	PROPN
ejge-4329	455	1	mm	mm	PROPN
ejge-4329	455	2	−−	−−	PROPN
ejge-4329	455	3	∫	∫	PROPN
ejge-4329	456	1	[	[	X
ejge-4329	456	2	43	43	NUM
ejge-4329	456	3	]	]	PUNCT
ejge-4329	456	4	where	where	SCONJ
ejge-4329	456	5	.=	.=	VERB
ejge-4329	457	1	0www	0www	NOUN
ejge-4329	458	1	i	i	PRON
ejge-4329	458	2	−	−	VERB
ejge-4329	459	1	if	if	SCONJ
ejge-4329	459	2	p	p	PRON
ejge-4329	459	3	gets	get	VERB
ejge-4329	459	4	a	a	DET
ejge-4329	459	5	jump	jump	NOUN
ejge-4329	459	6	as	as	ADP
ejge-4329	459	7	a	a	DET
ejge-4329	459	8	result	result	NOUN
ejge-4329	459	9	of	of	ADP
ejge-4329	459	10	some	some	DET
ejge-4329	459	11	factor	factor	NOUN
ejge-4329	459	12	other	other	ADJ
ejge-4329	459	13	than	than	ADP
ejge-4329	459	14	an	an	DET
ejge-4329	459	15	inventory	inventory	NOUN
ejge-4329	459	16	change	change	NOUN
ejge-4329	459	17	,	,	PUNCT
ejge-4329	459	18	such	such	ADJ
ejge-4329	459	19	as	as	ADP
ejge-4329	459	20	imposition	imposition	NOUN
ejge-4329	459	21	of	of	ADP
ejge-4329	459	22	a	a	DET
ejge-4329	459	23	tax	tax	NOUN
ejge-4329	459	24	on	on	ADP
ejge-4329	459	25	consumer	consumer	NOUN
ejge-4329	459	26	,	,	PUNCT
ejge-4329	459	27	that	that	PRON
ejge-4329	459	28	is	be	AUX
ejge-4329	459	29	considered	consider	VERB
ejge-4329	459	30	as	as	ADP
ejge-4329	459	31	a	a	DET
ejge-4329	459	32	separate	separate	ADJ
ejge-4329	459	33	input	input	NOUN
ejge-4329	459	34	and	and	CCONJ
ejge-4329	459	35	can	can	AUX
ejge-4329	459	36	be	be	AUX
ejge-4329	459	37	added	add	VERB
ejge-4329	459	38	to	to	ADP
ejge-4329	459	39	eq	eq	PROPN
ejge-4329	459	40	.	.	PUNCT
ejge-4329	460	1	(	(	PUNCT
ejge-4329	460	2	43	43	NUM
ejge-4329	460	3	)	)	PUNCT
ejge-4329	460	4	as	as	SCONJ
ejge-4329	460	5	follows	follow	VERB
ejge-4329	460	6	:	:	PUNCT
ejge-4329	461	1	.==	.==	PROPN
ejge-4329	461	2	jmkjwdtkp	jmkjwdtkp	PROPN
ejge-4329	461	3	mm	mm	PROPN
ejge-4329	462	1	+	+	PROPN
ejge-4329	462	2	−+−	−+−	ADJ
ejge-4329	462	3	∫	∫	X
ejge-4329	463	1	[	[	X
ejge-4329	463	2	43a	43a	NOUN
ejge-4329	463	3	]	]	X
ejge-4329	463	4	similarly	similarly	ADV
ejge-4329	463	5	,	,	PUNCT
ejge-4329	463	6	there	there	PRON
ejge-4329	463	7	can	can	AUX
ejge-4329	463	8	be	be	AUX
ejge-4329	463	9	an	an	DET
ejge-4329	463	10	exogenous	exogenous	ADJ
ejge-4329	463	11	shock	shock	NOUN
ejge-4329	463	12	in	in	ADP
ejge-4329	463	13	inventory	inventory	NOUN
ejge-4329	463	14	other	other	ADJ
ejge-4329	463	15	than	than	ADP
ejge-4329	463	16	the	the	DET
ejge-4329	463	17	price	price	NOUN
ejge-4329	463	18	feedback	feedback	NOUN
ejge-4329	463	19	.	.	PUNCT
ejge-4329	464	1	producer	producer	NOUN
ejge-4329	464	2	the	the	DET
ejge-4329	464	3	producer	producer	NOUN
ejge-4329	464	4	maximizes	maximize	VERB
ejge-4329	464	5	the	the	DET
ejge-4329	464	6	present	present	ADJ
ejge-4329	464	7	discounted	discount	VERB
ejge-4329	464	8	value	value	NOUN
ejge-4329	464	9	of	of	ADP
ejge-4329	464	10	the	the	DET
ejge-4329	464	11	future	future	ADJ
ejge-4329	464	12	stream	stream	NOUN
ejge-4329	464	13	of	of	ADP
ejge-4329	464	14	profits	profit	NOUN
ejge-4329	464	15	,	,	PUNCT
ejge-4329	464	16	and	and	CCONJ
ejge-4329	464	17	his	his	PRON
ejge-4329	464	18	present	present	ADJ
ejge-4329	464	19	value	value	NOUN
ejge-4329	464	20	at	at	ADP
ejge-4329	464	21	time	time	NOUN
ejge-4329	464	22	zero	zero	NUM
ejge-4329	464	23	is	be	AUX
ejge-4329	464	24	as	as	SCONJ
ejge-4329	464	25	follows	follow	VERB
ejge-4329	464	26	:	:	PUNCT
ejge-4329	464	27	216	216	NUM
ejge-4329	464	28	n.	n.	NOUN
ejge-4329	464	29	nawaz	nawaz	ADJ
ejge-4329	464	30	/	/	SYM
ejge-4329	464	31	european	european	ADJ
ejge-4329	464	32	journal	journal	PROPN
ejge-4329	464	33	of	of	ADP
ejge-4329	464	34	government	government	NOUN
ejge-4329	464	35	and	and	CCONJ
ejge-4329	464	36	economics	economic	NOUN
ejge-4329	464	37	6(2	6(2	NUM
ejge-4329	464	38	)	)	PUNCT
ejge-4329	464	39	,	,	PUNCT
ejge-4329	464	40	191	191	NUM
ejge-4329	464	41	-	-	SYM
ejge-4329	464	42	225	225	NUM
ejge-4329	464	43	(	(	PUNCT
ejge-4329	464	44	)	)	PUNCT
ejge-4329	464	45	(	(	PUNCT
ejge-4329	464	46	)	)	PUNCT
ejge-4329	464	47	(	(	PUNCT
ejge-4329	464	48	)	)	PUNCT
ejge-4329	464	49	(	(	PUNCT
ejge-4329	464	50	)	)	PUNCT
ejge-4329	464	51	[	[	PUNCT
ejge-4329	464	52	]	]	X
ejge-4329	464	53	,	,	PUNCT
ejge-4329	464	54	)	)	PUNCT
ejge-4329	464	55	(	(	PUNCT
ejge-4329	464	56	)	)	PUNCT
ejge-4329	464	57	(	(	PUNCT
ejge-4329	464	58	)	)	PUNCT
ejge-4329	464	59	(	(	PUNCT
ejge-4329	464	60	,	,	PUNCT
ejge-4329	464	61	)	)	PUNCT
ejge-4329	464	62	(=	(=	X
ejge-4329	464	63	(	(	PUNCT
ejge-4329	464	64	0	0	NUM
ejge-4329	464	65	)	)	PUNCT
ejge-4329	464	66	0	0	NUM
ejge-4329	464	67	dtetittltwtltkftpv	dtetittltwtltkftpv	NOUN
ejge-4329	464	68	rt−	rt−	NUM
ejge-4329	464	69	∞	∞	PROPN
ejge-4329	464	70	ℜ−−∫	ℜ−−∫	NOUN
ejge-4329	464	71	α	α	PROPN
ejge-4329	465	1	[	[	X
ejge-4329	465	2	44	44	NUM
ejge-4329	465	3	]	]	PUNCT
ejge-4329	465	4	where	where	SCONJ
ejge-4329	465	5	α	α	PROPN
ejge-4329	465	6	is	be	AUX
ejge-4329	465	7	the	the	DET
ejge-4329	465	8	fraction	fraction	NOUN
ejge-4329	465	9	of	of	ADP
ejge-4329	465	10	the	the	DET
ejge-4329	465	11	market	market	NOUN
ejge-4329	465	12	price	price	NOUN
ejge-4329	465	13	the	the	DET
ejge-4329	465	14	producer	producer	NOUN
ejge-4329	465	15	charges	charge	NOUN
ejge-4329	465	16	to	to	ADP
ejge-4329	465	17	the	the	DET
ejge-4329	465	18	middleman	middleman	NOUN
ejge-4329	465	19	.	.	PUNCT
ejge-4329	466	1	r	r	NOUN
ejge-4329	466	2	denotes	denote	VERB
ejge-4329	466	3	the	the	DET
ejge-4329	466	4	discount	discount	NOUN
ejge-4329	466	5	rate	rate	NOUN
ejge-4329	466	6	.	.	PUNCT
ejge-4329	466	7	)	)	PUNCT
ejge-4329	467	1	(	(	PUNCT
ejge-4329	467	2	tl	tl	PROPN
ejge-4329	467	3	(	(	PUNCT
ejge-4329	467	4	labor	labor	NOUN
ejge-4329	467	5	)	)	PUNCT
ejge-4329	467	6	and	and	CCONJ
ejge-4329	467	7	)	)	PUNCT
ejge-4329	467	8	(	(	PUNCT
ejge-4329	467	9	ti	ti	X
ejge-4329	467	10	(	(	PUNCT
ejge-4329	467	11	level	level	NOUN
ejge-4329	467	12	of	of	ADP
ejge-4329	467	13	investment	investment	NOUN
ejge-4329	467	14	)	)	PUNCT
ejge-4329	467	15	are	be	AUX
ejge-4329	467	16	the	the	DET
ejge-4329	467	17	control	control	NOUN
ejge-4329	467	18	variables	variable	NOUN
ejge-4329	467	19	and	and	CCONJ
ejge-4329	467	20	)	)	PUNCT
ejge-4329	467	21	(	(	PUNCT
ejge-4329	467	22	tk	tk	PROPN
ejge-4329	467	23	the	the	DET
ejge-4329	467	24	state	state	NOUN
ejge-4329	467	25	variable	variable	NOUN
ejge-4329	467	26	.	.	PUNCT
ejge-4329	468	1	the	the	DET
ejge-4329	468	2	maximization	maximization	NOUN
ejge-4329	468	3	problem	problem	NOUN
ejge-4329	468	4	can	can	AUX
ejge-4329	468	5	be	be	AUX
ejge-4329	468	6	written	write	VERB
ejge-4329	468	7	as	as	ADP
ejge-4329	468	8	{	{	PUNCT
ejge-4329	468	9	}	}	PUNCT
ejge-4329	468	10	(	(	PUNCT
ejge-4329	468	11	)	)	PUNCT
ejge-4329	468	12	(	(	PUNCT
ejge-4329	468	13	)	)	PUNCT
ejge-4329	468	14	(	(	PUNCT
ejge-4329	468	15	)	)	PUNCT
ejge-4329	468	16	(	(	PUNCT
ejge-4329	468	17	)	)	PUNCT
ejge-4329	468	18	[	[	PUNCT
ejge-4329	468	19	]	]	X
ejge-4329	468	20	,	,	PUNCT
ejge-4329	468	21	)	)	PUNCT
ejge-4329	468	22	(	(	PUNCT
ejge-4329	468	23	)	)	PUNCT
ejge-4329	468	24	(	(	PUNCT
ejge-4329	468	25	)	)	PUNCT
ejge-4329	468	26	(	(	PUNCT
ejge-4329	468	27	,	,	PUNCT
ejge-4329	468	28	)	)	PUNCT
ejge-4329	468	29	(=	(=	X
ejge-4329	468	30	(	(	PUNCT
ejge-4329	468	31	0	0	NUM
ejge-4329	468	32	)	)	PUNCT
ejge-4329	468	33	0	0	NUM
ejge-4329	468	34	)	)	PUNCT
ejge-4329	468	35	(	(	PUNCT
ejge-4329	468	36	)	)	PUNCT
ejge-4329	468	37	,	,	PUNCT
ejge-4329	468	38	(	(	PUNCT
ejge-4329	468	39	dtetittltwtltkftpvmax	dtetittltwtltkftpvmax	PROPN
ejge-4329	468	40	rt	rt	PROPN
ejge-4329	468	41	titl	titl	PROPN
ejge-4329	468	42	−	−	PROPN
ejge-4329	469	1	∞	∞	NUM
ejge-4329	469	2	ℜ−−∫	ℜ−−∫	PROPN
ejge-4329	469	3	α	α	NOUN
ejge-4329	469	4	subject	subject	ADJ
ejge-4329	469	5	to	to	ADP
ejge-4329	469	6	the	the	DET
ejge-4329	469	7	constraints	constraint	NOUN
ejge-4329	469	8	)	)	PUNCT
ejge-4329	469	9	(	(	PUNCT
ejge-4329	469	10	)	)	PUNCT
ejge-4329	469	11	(=	(=	X
ejge-4329	469	12	)	)	PUNCT
ejge-4329	469	13	(	(	PUNCT
ejge-4329	469	14	.	.	PUNCT
ejge-4329	470	1	tktitk	tktitk	ADP
ejge-4329	470	2	δ−	δ−	PROPN
ejge-4329	470	3	(	(	PUNCT
ejge-4329	470	4	state	state	NOUN
ejge-4329	470	5	equation	equation	NOUN
ejge-4329	470	6	,	,	PUNCT
ejge-4329	470	7	describing	describe	VERB
ejge-4329	470	8	how	how	SCONJ
ejge-4329	470	9	the	the	DET
ejge-4329	470	10	state	state	NOUN
ejge-4329	470	11	variable	variable	ADJ
ejge-4329	470	12	changes	change	NOUN
ejge-4329	470	13	with	with	ADP
ejge-4329	470	14	time	time	NOUN
ejge-4329	470	15	)	)	PUNCT
ejge-4329	470	16	,	,	PUNCT
ejge-4329	470	17	0=(0	0=(0	NUM
ejge-4329	470	18	)	)	PUNCT
ejge-4329	470	19	kk	kk	NOUN
ejge-4329	470	20	(	(	PUNCT
ejge-4329	470	21	initial	initial	ADJ
ejge-4329	470	22	condition	condition	NOUN
ejge-4329	470	23	)	)	PUNCT
ejge-4329	470	24	,	,	PUNCT
ejge-4329	470	25	0	0	NUM
ejge-4329	470	26	)	)	PUNCT
ejge-4329	470	27	(	(	PUNCT
ejge-4329	470	28	≥tk	≥tk	X
ejge-4329	470	29	(	(	PUNCT
ejge-4329	470	30	non	non	ADJ
ejge-4329	470	31	-	-	ADJ
ejge-4329	470	32	negativity	negativity	ADJ
ejge-4329	470	33	constraint	constraint	NOUN
ejge-4329	470	34	on	on	ADP
ejge-4329	470	35	state	state	NOUN
ejge-4329	470	36	variable	variable	NOUN
ejge-4329	470	37	)	)	PUNCT
ejge-4329	470	38	,	,	PUNCT
ejge-4329	470	39	)	)	PUNCT
ejge-4329	470	40	(	(	PUNCT
ejge-4329	470	41	∞k	∞k	X
ejge-4329	470	42	free	free	ADJ
ejge-4329	470	43	(	(	PUNCT
ejge-4329	470	44	terminal	terminal	ADJ
ejge-4329	470	45	condition	condition	NOUN
ejge-4329	470	46	)	)	PUNCT
ejge-4329	470	47	.	.	PUNCT
ejge-4329	471	1	the	the	DET
ejge-4329	471	2	current	current	ADJ
ejge-4329	471	3	-	-	PUNCT
ejge-4329	471	4	value	value	NOUN
ejge-4329	471	5	hamiltonian	hamiltonian	NOUN
ejge-4329	471	6	for	for	ADP
ejge-4329	471	7	this	this	DET
ejge-4329	471	8	case	case	NOUN
ejge-4329	471	9	is	be	AUX
ejge-4329	471	10	(	(	PUNCT
ejge-4329	471	11	)	)	PUNCT
ejge-4329	471	12	(	(	PUNCT
ejge-4329	471	13	)	)	PUNCT
ejge-4329	471	14	(	(	PUNCT
ejge-4329	471	15	)	)	PUNCT
ejge-4329	471	16	(	(	PUNCT
ejge-4329	471	17	)	)	PUNCT
ejge-4329	471	18	[	[	PUNCT
ejge-4329	471	19	]	]	X
ejge-4329	471	20	.)()()()()()(,)(=~	.)()()()()()(,)(=~	NUM
ejge-4329	471	21	tktittittltwtltkftph	tktittittltwtltkftph	NOUN
ejge-4329	471	22	δµα	δµα	VERB
ejge-4329	471	23	−+ℜ−−	−+ℜ−−	NOUN
ejge-4329	472	1	[	[	X
ejge-4329	472	2	45	45	NUM
ejge-4329	472	3	]	]	PUNCT
ejge-4329	472	4	now	now	ADV
ejge-4329	472	5	the	the	DET
ejge-4329	472	6	maximizing	maximize	VERB
ejge-4329	472	7	conditions	condition	NOUN
ejge-4329	472	8	are	be	AUX
ejge-4329	472	9	as	as	SCONJ
ejge-4329	472	10	follows	follow	VERB
ejge-4329	472	11	:	:	PUNCT
ejge-4329	472	12	)	)	PUNCT
ejge-4329	472	13	(	(	PUNCT
ejge-4329	472	14	i	i	NOUN
ejge-4329	472	15	)	)	PUNCT
ejge-4329	472	16	(	(	PUNCT
ejge-4329	472	17	tl∗	tl∗	NOUN
ejge-4329	472	18	and	and	CCONJ
ejge-4329	472	19	)	)	PUNCT
ejge-4329	472	20	(	(	PUNCT
ejge-4329	472	21	ti	ti	NOUN
ejge-4329	472	22	∗	∗	NOUN
ejge-4329	472	23	maximize	maximize	VERB
ejge-4329	472	24	h~	h~	PROPN
ejge-4329	472	25	for	for	ADP
ejge-4329	472	26	all	all	DET
ejge-4329	472	27	t	t	NOUN
ejge-4329	472	28	:	:	PUNCT
ejge-4329	472	29	0=	0=	NUM
ejge-4329	473	1	~	~	PUNCT
ejge-4329	473	2	l	l	NOUN
ejge-4329	473	3	h	h	NOUN
ejge-4329	473	4	∂	∂	NOUN
ejge-4329	473	5	∂	∂	NUM
ejge-4329	473	6	and	and	CCONJ
ejge-4329	473	7	0,=	0,=	NUM
ejge-4329	474	1	~	~	PUNCT
ejge-4329	474	2	i	i	PRON
ejge-4329	474	3	h	h	NOUN
ejge-4329	474	4	∂	∂	NOUN
ejge-4329	474	5	∂	∂	NUM
ejge-4329	474	6	)	)	PUNCT
ejge-4329	474	7	(	(	PUNCT
ejge-4329	474	8	ii	ii	NOUN
ejge-4329	474	9	,	,	PUNCT
ejge-4329	474	10	~	~	PUNCT
ejge-4329	474	11	=	=	PUNCT
ejge-4329	474	12	.	.	PUNCT
ejge-4329	475	1	k	k	PROPN
ejge-4329	475	2	hr	hr	PROPN
ejge-4329	475	3	∂	∂	NOUN
ejge-4329	475	4	∂	∂	NUM
ejge-4329	475	5	−−	−−	NOUN
ejge-4329	475	6	µµ	µµ	NOUN
ejge-4329	475	7	)	)	PUNCT
ejge-4329	475	8	(	(	PUNCT
ejge-4329	475	9	iii	iii	X
ejge-4329	475	10	µ∂	µ∂	NOUN
ejge-4329	475	11	∂∗	∂∗	VERB
ejge-4329	475	12	hk	hk	PROPN
ejge-4329	475	13	~	~	PUNCT
ejge-4329	475	14	=	=	PUNCT
ejge-4329	475	15	.	.	PUNCT
ejge-4329	476	1	(	(	PUNCT
ejge-4329	476	2	this	this	PRON
ejge-4329	476	3	just	just	ADV
ejge-4329	476	4	gives	give	VERB
ejge-4329	476	5	back	back	ADP
ejge-4329	476	6	the	the	DET
ejge-4329	476	7	state	state	NOUN
ejge-4329	476	8	equation	equation	NOUN
ejge-4329	476	9	)	)	PUNCT
ejge-4329	476	10	,	,	PUNCT
ejge-4329	476	11	)	)	PUNCT
ejge-4329	476	12	(	(	PUNCT
ejge-4329	476	13	iv	iv	NUM
ejge-4329	476	14	0=)()(lim	0=)()(lim	NUM
ejge-4329	476	15	rt	rt	PROPN
ejge-4329	476	16	t	t	PROPN
ejge-4329	476	17	etkt	etkt	VERB
ejge-4329	476	18	−	−	PROPN
ejge-4329	476	19	∞→	∞→	ADJ
ejge-4329	476	20	µ	µ	X
ejge-4329	476	21	(	(	PUNCT
ejge-4329	476	22	the	the	DET
ejge-4329	476	23	transversality	transversality	NOUN
ejge-4329	476	24	condition	condition	NOUN
ejge-4329	476	25	)	)	PUNCT
ejge-4329	476	26	.	.	PUNCT
ejge-4329	477	1	the	the	DET
ejge-4329	477	2	first	first	ADJ
ejge-4329	477	3	two	two	NUM
ejge-4329	477	4	conditions	condition	NOUN
ejge-4329	477	5	are	be	AUX
ejge-4329	477	6	as	as	SCONJ
ejge-4329	477	7	follows	follow	VERB
ejge-4329	477	8	:	:	PUNCT
ejge-4329	477	9	(	(	PUNCT
ejge-4329	477	10	)	)	PUNCT
ejge-4329	477	11	(	(	PUNCT
ejge-4329	477	12	)	)	PUNCT
ejge-4329	477	13	(	(	PUNCT
ejge-4329	477	14	)	)	PUNCT
ejge-4329	478	1	0,=)(,)(=	0,=)(,)(=	NOUN
ejge-4329	478	2	~	~	PUNCT
ejge-4329	478	3	.	.	X
ejge-4329	478	4	2	2	NUM
ejge-4329	478	5	twtltkftp	twtltkftp	NOUN
ejge-4329	478	6	l	l	PROPN
ejge-4329	478	7	h	h	NOUN
ejge-4329	478	8	−	−	PROPN
ejge-4329	478	9	∂	∂	NUM
ejge-4329	478	10	∂	∂	NOUN
ejge-4329	478	11	α	α	NOUN
ejge-4329	479	1	[	[	X
ejge-4329	479	2	46	46	NUM
ejge-4329	479	3	]	]	X
ejge-4329	479	4	0,=)()(=	0,=)()(=	NUM
ejge-4329	479	5	~	~	PUNCT
ejge-4329	479	6	tt	tt	PROPN
ejge-4329	480	1	i	i	PRON
ejge-4329	480	2	h	h	PROPN
ejge-4329	480	3	µ+−ℜ	µ+−ℜ	PROPN
ejge-4329	480	4	∂	∂	NUM
ejge-4329	480	5	∂	∂	NOUN
ejge-4329	481	1	[	[	X
ejge-4329	481	2	47	47	NUM
ejge-4329	481	3	]	]	SYM
ejge-4329	481	4	217	217	NUM
ejge-4329	481	5	n.	n.	NOUN
ejge-4329	481	6	nawaz	nawaz	ADJ
ejge-4329	481	7	/	/	SYM
ejge-4329	481	8	european	european	ADJ
ejge-4329	481	9	journal	journal	PROPN
ejge-4329	481	10	of	of	ADP
ejge-4329	481	11	government	government	NOUN
ejge-4329	481	12	and	and	CCONJ
ejge-4329	481	13	economics	economic	NOUN
ejge-4329	481	14	6(2	6(2	NUM
ejge-4329	481	15	)	)	PUNCT
ejge-4329	481	16	,	,	PUNCT
ejge-4329	481	17	191	191	NUM
ejge-4329	481	18	-	-	SYM
ejge-4329	481	19	225	225	NUM
ejge-4329	481	20	and	and	CCONJ
ejge-4329	481	21	(	(	PUNCT
ejge-4329	481	22	)	)	PUNCT
ejge-4329	481	23	(	(	PUNCT
ejge-4329	481	24	)	)	PUNCT
ejge-4329	481	25	(	(	PUNCT
ejge-4329	481	26	)	)	PUNCT
ejge-4329	481	27	.)(,)(=	.)(,)(=	PUNCT
ejge-4329	482	1	~	~	PUNCT
ejge-4329	482	2	=	=	PUNCT
ejge-4329	482	3	.	.	PUNCT
ejge-4329	483	1	1	1	NUM
ejge-4329	483	2	.	.	PUNCT
ejge-4329	484	1			CCONJ
ejge-4329	484	2			PROPN
ejge-4329	484	3			ADJ
ejge-4329	484	4			NOUN
ejge-4329	484	5	−−	−−	PROPN
ejge-4329	484	6	∂	∂	NUM
ejge-4329	484	7	∂	∂	NUM
ejge-4329	484	8	−−	−−	NOUN
ejge-4329	484	9	ttltkftp	ttltkftp	NOUN
ejge-4329	484	10	k	k	PROPN
ejge-4329	484	11	hr	hr	PROPN
ejge-4329	484	12	δµαµµ	δµαµµ	PROPN
ejge-4329	485	1	[	[	X
ejge-4329	485	2	48	48	NUM
ejge-4329	485	3	)	)	PUNCT
ejge-4329	485	4	substituting	substitute	VERB
ejge-4329	485	5	the	the	DET
ejge-4329	485	6	value	value	NOUN
ejge-4329	485	7	of	of	ADP
ejge-4329	485	8	.	.	PUNCT
ejge-4329	485	9	µ	µ	X
ejge-4329	485	10	and	and	CCONJ
ejge-4329	485	11	µ	µ	X
ejge-4329	485	12	from	from	ADP
ejge-4329	485	13	eq	eq	PROPN
ejge-4329	485	14	.	.	PUNCT
ejge-4329	486	1	(	(	PUNCT
ejge-4329	486	2	47	47	NUM
ejge-4329	486	3	)	)	PUNCT
ejge-4329	486	4	into	into	ADP
ejge-4329	486	5	eq	eq	NOUN
ejge-4329	486	6	.	.	PUNCT
ejge-4329	487	1	(	(	PUNCT
ejge-4329	487	2	48	48	NUM
ejge-4329	487	3	)	)	PUNCT
ejge-4329	487	4	yields	yield	NOUN
ejge-4329	487	5	(	(	PUNCT
ejge-4329	487	6	)	)	PUNCT
ejge-4329	487	7	(	(	PUNCT
ejge-4329	487	8	)	)	PUNCT
ejge-4329	487	9	(	(	PUNCT
ejge-4329	487	10	)	)	PUNCT
ejge-4329	487	11	0.=	0.=	NOUN
ejge-4329	487	12	)	)	PUNCT
ejge-4329	487	13	(	(	PUNCT
ejge-4329	487	14	)	)	PUNCT
ejge-4329	487	15	(	(	PUNCT
ejge-4329	487	16	)	)	PUNCT
ejge-4329	487	17	(	(	PUNCT
ejge-4329	487	18	,	,	PUNCT
ejge-4329	487	19	)	)	PUNCT
ejge-4329	487	20	(	(	PUNCT
ejge-4329	487	21	..	..	PUNCT
ejge-4329	487	22	1	1	NUM
ejge-4329	487	23	ttrtltkftp	ttrtltkftp	NOUN
ejge-4329	487	24	ℜ+ℜ+−	ℜ+ℜ+−	PROPN
ejge-4329	487	25	δα	δα	ADP
ejge-4329	487	26	if	if	SCONJ
ejge-4329	487	27	the	the	DET
ejge-4329	487	28	price	price	NOUN
ejge-4329	487	29	,	,	PUNCT
ejge-4329	487	30	i.e.	i.e.	X
ejge-4329	487	31	)	)	PUNCT
ejge-4329	487	32	(	(	PUNCT
ejge-4329	487	33	tp	tp	NOUN
ejge-4329	487	34	goes	go	VERB
ejge-4329	487	35	up	up	ADP
ejge-4329	487	36	,	,	PUNCT
ejge-4329	487	37	(	(	PUNCT
ejge-4329	487	38	at	at	ADP
ejge-4329	487	39	the	the	DET
ejge-4329	487	40	previous	previous	ADJ
ejge-4329	487	41	level	level	NOUN
ejge-4329	487	42	of	of	ADP
ejge-4329	487	43	investment	investment	NOUN
ejge-4329	487	44	and	and	CCONJ
ejge-4329	487	45	labor	labor	NOUN
ejge-4329	487	46	)	)	PUNCT
ejge-4329	487	47	the	the	DET
ejge-4329	487	48	producer	producer	NOUN
ejge-4329	487	49	faces	face	VERB
ejge-4329	487	50	(	(	PUNCT
ejge-4329	487	51	)	)	PUNCT
ejge-4329	487	52	(	(	PUNCT
ejge-4329	487	53	)	)	PUNCT
ejge-4329	487	54	(	(	PUNCT
ejge-4329	487	55	)	)	PUNCT
ejge-4329	487	56	0	0	NUM
ejge-4329	487	57	,	,	PUNCT
ejge-4329	487	58	>	>	PUNCT
ejge-4329	487	59	)	)	PUNCT
ejge-4329	487	60	(	(	PUNCT
ejge-4329	487	61	,	,	PUNCT
ejge-4329	487	62	)	)	PUNCT
ejge-4329	487	63	(	(	PUNCT
ejge-4329	487	64	.	.	X
ejge-4329	487	65	2	2	NUM
ejge-4329	487	66	twtltkftp	twtltkftp	NOUN
ejge-4329	487	67	−α	−α	NOUN
ejge-4329	487	68	(	(	PUNCT
ejge-4329	487	69	)	)	PUNCT
ejge-4329	487	70	(	(	PUNCT
ejge-4329	487	71	)	)	PUNCT
ejge-4329	487	72	(	(	PUNCT
ejge-4329	487	73	)	)	PUNCT
ejge-4329	487	74	0	0	X
ejge-4329	487	75	.	.	NUM
ejge-4329	487	76	>	>	X
ejge-4329	487	77	)	)	PUNCT
ejge-4329	487	78	(	(	PUNCT
ejge-4329	487	79	)	)	PUNCT
ejge-4329	487	80	(	(	PUNCT
ejge-4329	487	81	)	)	PUNCT
ejge-4329	487	82	(	(	PUNCT
ejge-4329	487	83	,	,	PUNCT
ejge-4329	487	84	)	)	PUNCT
ejge-4329	487	85	(	(	PUNCT
ejge-4329	487	86	..	..	PUNCT
ejge-4329	487	87	1	1	NUM
ejge-4329	487	88	ttrtltkftp	ttrtltkftp	NOUN
ejge-4329	487	89	ℜ+ℜ+−	ℜ+ℜ+−	PROPN
ejge-4329	487	90	δα	δα	PRON
ejge-4329	487	91	therefore	therefore	ADV
ejge-4329	487	92	,	,	PUNCT
ejge-4329	487	93	in	in	ADP
ejge-4329	487	94	order	order	NOUN
ejge-4329	487	95	to	to	PART
ejge-4329	487	96	satisfy	satisfy	VERB
ejge-4329	487	97	the	the	DET
ejge-4329	487	98	condition	condition	NOUN
ejge-4329	487	99	of	of	ADP
ejge-4329	487	100	dynamic	dynamic	ADJ
ejge-4329	487	101	optimization	optimization	NOUN
ejge-4329	487	102	after	after	ADP
ejge-4329	487	103	the	the	DET
ejge-4329	487	104	price	price	NOUN
ejge-4329	487	105	increase	increase	NOUN
ejge-4329	487	106	,	,	PUNCT
ejge-4329	487	107	the	the	DET
ejge-4329	487	108	producer	producer	NOUN
ejge-4329	487	109	must	must	AUX
ejge-4329	487	110	increase	increase	VERB
ejge-4329	487	111	the	the	DET
ejge-4329	487	112	production	production	NOUN
ejge-4329	487	113	level	level	NOUN
ejge-4329	487	114	.	.	PUNCT
ejge-4329	488	1	let	let	VERB
ejge-4329	488	2	p	p	NOUN
ejge-4329	488	3	=	=	NOUN
ejge-4329	488	4	market	market	NOUN
ejge-4329	488	5	price	price	NOUN
ejge-4329	488	6	,	,	PUNCT
ejge-4329	488	7	c	c	NOUN
ejge-4329	488	8	=	=	PUNCT
ejge-4329	488	9	a	a	DET
ejge-4329	488	10	reference	reference	NOUN
ejge-4329	488	11	price	price	NOUN
ejge-4329	488	12	(	(	PUNCT
ejge-4329	488	13	such	such	ADJ
ejge-4329	488	14	as	as	ADP
ejge-4329	488	15	the	the	DET
ejge-4329	488	16	retail	retail	ADJ
ejge-4329	488	17	price	price	NOUN
ejge-4329	488	18	which	which	PRON
ejge-4329	488	19	includes	include	VERB
ejge-4329	488	20	the	the	DET
ejge-4329	488	21	production	production	NOUN
ejge-4329	488	22	cost	cost	NOUN
ejge-4329	488	23	,	,	PUNCT
ejge-4329	488	24	profit	profit	NOUN
ejge-4329	488	25	of	of	ADP
ejge-4329	488	26	producer	producer	NOUN
ejge-4329	488	27	and	and	CCONJ
ejge-4329	488	28	profit	profit	NOUN
ejge-4329	488	29	of	of	ADP
ejge-4329	488	30	the	the	DET
ejge-4329	488	31	middleman	middleman	NOUN
ejge-4329	488	32	)	)	PUNCT
ejge-4329	488	33	.	.	PUNCT
ejge-4329	489	1	c	c	PROPN
ejge-4329	489	2	is	be	AUX
ejge-4329	489	3	a	a	DET
ejge-4329	489	4	parameter	parameter	NOUN
ejge-4329	489	5	which	which	PRON
ejge-4329	489	6	may	may	AUX
ejge-4329	489	7	vary	vary	VERB
ejge-4329	489	8	with	with	ADP
ejge-4329	489	9	time	time	NOUN
ejge-4329	489	10	or	or	CCONJ
ejge-4329	489	11	be	be	AUX
ejge-4329	489	12	kept	keep	VERB
ejge-4329	489	13	fixed	fix	VERB
ejge-4329	489	14	for	for	ADP
ejge-4329	489	15	a	a	DET
ejge-4329	489	16	limited	limited	ADJ
ejge-4329	489	17	time	time	NOUN
ejge-4329	489	18	period	period	NOUN
ejge-4329	489	19	,	,	PUNCT
ejge-4329	489	20	e.g.	e.g.	ADV
ejge-4329	489	21	the	the	DET
ejge-4329	489	22	cost	cost	NOUN
ejge-4329	489	23	of	of	ADP
ejge-4329	489	24	a	a	DET
ejge-4329	489	25	product	product	NOUN
ejge-4329	489	26	may	may	AUX
ejge-4329	489	27	vary	vary	VERB
ejge-4329	489	28	over	over	ADP
ejge-4329	489	29	time	time	NOUN
ejge-4329	489	30	or	or	CCONJ
ejge-4329	489	31	can	can	AUX
ejge-4329	489	32	also	also	ADV
ejge-4329	489	33	remain	remain	VERB
ejge-4329	489	34	constant	constant	ADJ
ejge-4329	489	35	for	for	ADP
ejge-4329	489	36	a	a	DET
ejge-4329	489	37	while	while	NOUN
ejge-4329	489	38	.	.	PUNCT
ejge-4329	490	1	it	it	PRON
ejge-4329	490	2	is	be	AUX
ejge-4329	490	3	the	the	DET
ejge-4329	490	4	reference	reference	NOUN
ejge-4329	490	5	point	point	NOUN
ejge-4329	490	6	with	with	ADP
ejge-4329	490	7	respect	respect	NOUN
ejge-4329	490	8	to	to	ADP
ejge-4329	490	9	which	which	PRON
ejge-4329	490	10	the	the	DET
ejge-4329	490	11	variation	variation	NOUN
ejge-4329	490	12	in	in	ADP
ejge-4329	490	13	p	p	PROPN
ejge-4329	490	14	is	be	AUX
ejge-4329	490	15	considered	consider	VERB
ejge-4329	490	16	by	by	ADP
ejge-4329	490	17	the	the	DET
ejge-4329	490	18	producer	producer	NOUN
ejge-4329	490	19	for	for	ADP
ejge-4329	490	20	decision	decision	NOUN
ejge-4329	490	21	making	making	NOUN
ejge-4329	490	22	.	.	PUNCT
ejge-4329	491	1	price	price	NOUN
ejge-4329	491	2	,	,	PUNCT
ejge-4329	491	3	in	in	ADP
ejge-4329	491	4	change	change	NOUN
ejge-4329	491	5	todue	todue	ADJ
ejge-4329	491	6	productionin	productionin	NOUN
ejge-4329	491	7	change	change	NOUN
ejge-4329	491	8	=	=	NOUN
ejge-4329	491	9	mw	mw	NOUN
ejge-4329	491	10	where	where	SCONJ
ejge-4329	491	11	)	)	PUNCT
ejge-4329	491	12	(	(	PUNCT
ejge-4329	491	13	cp	cp	X
ejge-4329	491	14	−	−	PROPN
ejge-4329	491	15	acts	act	VERB
ejge-4329	491	16	as	as	ADP
ejge-4329	491	17	an	an	DET
ejge-4329	491	18	incentive	incentive	NOUN
ejge-4329	491	19	for	for	SCONJ
ejge-4329	491	20	the	the	DET
ejge-4329	491	21	producer	producer	NOUN
ejge-4329	491	22	to	to	PART
ejge-4329	491	23	produce	produce	VERB
ejge-4329	491	24	more	more	ADJ
ejge-4329	491	25	.	.	PUNCT
ejge-4329	492	1	therefore	therefore	ADV
ejge-4329	492	2	,	,	PUNCT
ejge-4329	492	3	or	or	CCONJ
ejge-4329	492	4	)	)	PUNCT
ejge-4329	492	5	,	,	PUNCT
ejge-4329	492	6	(	(	PUNCT
ejge-4329	492	7	cpwm	cpwm	VERB
ejge-4329	492	8	−∝α	−∝α	NUM
ejge-4329	492	9	)	)	PUNCT
ejge-4329	493	1	.(=	.(=	PRON
ejge-4329	493	2	cpkw	cpkw	VERB
ejge-4329	494	1	sm	sm	INTJ
ejge-4329	494	2	−	−	PROPN
ejge-4329	495	1	[	[	X
ejge-4329	495	2	49	49	NUM
ejge-4329	495	3	]	]	PUNCT
ejge-4329	495	4	when	when	SCONJ
ejge-4329	495	5	the	the	DET
ejge-4329	495	6	market	market	NOUN
ejge-4329	495	7	is	be	AUX
ejge-4329	495	8	in	in	ADP
ejge-4329	495	9	equilibrium	equilibrium	NOUN
ejge-4329	495	10	,	,	PUNCT
ejge-4329	495	11	then	then	ADV
ejge-4329	495	12	0,=mw	0,=mw	NOUN
ejge-4329	495	13	or	or	CCONJ
ejge-4329	495	14	)	)	PUNCT
ejge-4329	495	15	.(=0	.(=0	PROPN
ejge-4329	495	16	sss	sss	PROPN
ejge-4329	495	17	cpk	cpk	PROPN
ejge-4329	496	1	−	−	PROPN
ejge-4329	497	1	[	[	X
ejge-4329	497	2	50	50	NUM
ejge-4329	497	3	]	]	PUNCT
ejge-4329	497	4	where	where	SCONJ
ejge-4329	497	5	sk	sk	PROPN
ejge-4329	497	6	is	be	AUX
ejge-4329	497	7	the	the	DET
ejge-4329	497	8	proportionality	proportionality	NOUN
ejge-4329	497	9	constant	constant	ADJ
ejge-4329	497	10	.	.	PUNCT
ejge-4329	498	1	sp	sp	ADP
ejge-4329	498	2	and	and	CCONJ
ejge-4329	498	3	sc	sc	PROPN
ejge-4329	498	4	are	be	AUX
ejge-4329	498	5	the	the	DET
ejge-4329	498	6	steady	steady	ADJ
ejge-4329	498	7	state	state	NOUN
ejge-4329	498	8	equilibrium	equilibrium	NOUN
ejge-4329	498	9	values	value	NOUN
ejge-4329	498	10	.	.	PUNCT
ejge-4329	499	1	subtracting	subtract	VERB
ejge-4329	499	2	eq	eq	ADP
ejge-4329	499	3	.	.	PUNCT
ejge-4329	500	1	(	(	PUNCT
ejge-4329	500	2	50	50	NUM
ejge-4329	500	3	)	)	PUNCT
ejge-4329	500	4	from	from	ADP
ejge-4329	500	5	eq	eq	ADP
ejge-4329	500	6	.	.	PUNCT
ejge-4329	501	1	(	(	PUNCT
ejge-4329	501	2	49	49	NUM
ejge-4329	501	3	)	)	PUNCT
ejge-4329	501	4	,	,	PUNCT
ejge-4329	501	5	we	we	PRON
ejge-4329	501	6	get	get	VERB
ejge-4329	501	7	:	:	PUNCT
ejge-4329	501	8	(	(	PUNCT
ejge-4329	501	9	)	)	PUNCT
ejge-4329	501	10	(	(	PUNCT
ejge-4329	501	11	)	)	PUNCT
ejge-4329	501	12	[	[	PUNCT
ejge-4329	501	13	]	]	X
ejge-4329	501	14	(	(	PUNCT
ejge-4329	501	15	)	)	PUNCT
ejge-4329	501	16	,	,	PUNCT
ejge-4329	502	1	=	=	SYM
ejge-4329	502	2	=	=	SYM
ejge-4329	502	3	=	=	SYM
ejge-4329	502	4	εsssssm	εsssssm	NOUN
ejge-4329	502	5	kpckccppkw	kpckccppkw	NOUN
ejge-4329	502	6	−−−−−−	−−−−−−	X
ejge-4329	503	1	[	[	X
ejge-4329	503	2	51	51	NUM
ejge-4329	503	3	]	]	PUNCT
ejge-4329	503	4	where	where	SCONJ
ejge-4329	503	5	cwm	cwm	PROPN
ejge-4329	503	6	,	,	PUNCT
ejge-4329	503	7	and	and	CCONJ
ejge-4329	503	8	p	p	NOUN
ejge-4329	503	9	are	be	AUX
ejge-4329	503	10	deviation	deviation	NOUN
ejge-4329	503	11	variables	variable	NOUN
ejge-4329	503	12	.	.	PUNCT
ejge-4329	504	1	218	218	NUM
ejge-4329	504	2	n.	n.	NOUN
ejge-4329	504	3	nawaz	nawaz	PROPN
ejge-4329	504	4	/	/	SYM
ejge-4329	504	5	european	european	ADJ
ejge-4329	504	6	journal	journal	PROPN
ejge-4329	504	7	of	of	ADP
ejge-4329	504	8	government	government	NOUN
ejge-4329	504	9	and	and	CCONJ
ejge-4329	504	10	economics	economic	NOUN
ejge-4329	504	11	6(2	6(2	NUM
ejge-4329	504	12	)	)	PUNCT
ejge-4329	504	13	,	,	PUNCT
ejge-4329	504	14	191	191	NUM
ejge-4329	504	15	-	-	SYM
ejge-4329	504	16	225	225	NUM
ejge-4329	504	17	consumer	consumer	NOUN
ejge-4329	504	18	the	the	DET
ejge-4329	504	19	consumer	consumer	NOUN
ejge-4329	504	20	maximizes	maximize	VERB
ejge-4329	504	21	the	the	DET
ejge-4329	504	22	present	present	ADJ
ejge-4329	504	23	discounted	discount	VERB
ejge-4329	504	24	value	value	NOUN
ejge-4329	504	25	of	of	ADP
ejge-4329	504	26	the	the	DET
ejge-4329	504	27	future	future	ADJ
ejge-4329	504	28	stream	stream	NOUN
ejge-4329	504	29	of	of	ADP
ejge-4329	504	30	utilities	utility	NOUN
ejge-4329	504	31	,	,	PUNCT
ejge-4329	504	32	and	and	CCONJ
ejge-4329	504	33	his	his	PRON
ejge-4329	504	34	present	present	ADJ
ejge-4329	504	35	value	value	NOUN
ejge-4329	504	36	at	at	ADP
ejge-4329	504	37	time	time	NOUN
ejge-4329	504	38	zero	zero	NUM
ejge-4329	504	39	is	be	AUX
ejge-4329	504	40	as	as	SCONJ
ejge-4329	504	41	follows	follow	VERB
ejge-4329	504	42	:	:	PUNCT
ejge-4329	504	43	,	,	PUNCT
ejge-4329	504	44	)	)	PUNCT
ejge-4329	504	45	)	)	PUNCT
ejge-4329	505	1	(	(	PUNCT
ejge-4329	505	2	(=	(=	X
ejge-4329	505	3	(	(	PUNCT
ejge-4329	505	4	0	0	NUM
ejge-4329	505	5	)	)	PUNCT
ejge-4329	505	6	0	0	NUM
ejge-4329	505	7	dtetxuv	dtetxuv	VERB
ejge-4329	505	8	tρ−	tρ−	PUNCT
ejge-4329	505	9	∞	∞	NUM
ejge-4329	505	10	∫	∫	PROPN
ejge-4329	506	1	[	[	X
ejge-4329	506	2	52	52	NUM
ejge-4329	506	3	]	]	PUNCT
ejge-4329	506	4	where	where	SCONJ
ejge-4329	506	5	ρ	ρ	PROPN
ejge-4329	506	6	denotes	denote	VERB
ejge-4329	506	7	the	the	DET
ejge-4329	506	8	discount	discount	NOUN
ejge-4329	506	9	rate	rate	NOUN
ejge-4329	506	10	and	and	CCONJ
ejge-4329	506	11	)	)	PUNCT
ejge-4329	506	12	(	(	PUNCT
ejge-4329	506	13	tx	tx	PROPN
ejge-4329	506	14	is	be	AUX
ejge-4329	506	15	the	the	DET
ejge-4329	506	16	control	control	NOUN
ejge-4329	506	17	variable	variable	NOUN
ejge-4329	506	18	.	.	PUNCT
ejge-4329	507	1	the	the	DET
ejge-4329	507	2	maximization	maximization	NOUN
ejge-4329	507	3	problem	problem	NOUN
ejge-4329	507	4	can	can	AUX
ejge-4329	507	5	be	be	AUX
ejge-4329	507	6	written	write	VERB
ejge-4329	507	7	as	as	ADP
ejge-4329	507	8	{	{	PUNCT
ejge-4329	507	9	}	}	PUNCT
ejge-4329	507	10	,	,	PUNCT
ejge-4329	507	11	)	)	PUNCT
ejge-4329	507	12	)	)	PUNCT
ejge-4329	508	1	(	(	PUNCT
ejge-4329	508	2	(=	(=	X
ejge-4329	508	3	(	(	PUNCT
ejge-4329	508	4	0	0	NUM
ejge-4329	508	5	)	)	PUNCT
ejge-4329	508	6	0	0	NUM
ejge-4329	508	7	)	)	PUNCT
ejge-4329	508	8	(	(	PUNCT
ejge-4329	508	9	dtetxuvmax	dtetxuvmax	PROPN
ejge-4329	508	10	t	t	PROPN
ejge-4329	508	11	tx	tx	PROPN
ejge-4329	508	12	ρ−	ρ−	PROPN
ejge-4329	508	13	∞	∞	PROPN
ejge-4329	508	14	∫	∫	PROPN
ejge-4329	508	15	subject	subject	NOUN
ejge-4329	508	16	to	to	ADP
ejge-4329	508	17	)	)	PUNCT
ejge-4329	508	18	(	(	PUNCT
ejge-4329	508	19	)	)	PUNCT
ejge-4329	508	20	(	(	PUNCT
ejge-4329	508	21	)	)	PUNCT
ejge-4329	508	22	(	(	PUNCT
ejge-4329	508	23	)	)	PUNCT
ejge-4329	508	24	(	(	PUNCT
ejge-4329	508	25	)	)	PUNCT
ejge-4329	508	26	(=	(=	X
ejge-4329	508	27	)	)	PUNCT
ejge-4329	508	28	(	(	PUNCT
ejge-4329	508	29	.	.	PUNCT
ejge-4329	508	30	txtptwtatrta	txtptwtatrta	PROPN
ejge-4329	508	31	−+	−+	PROPN
ejge-4329	508	32	(	(	PUNCT
ejge-4329	508	33	state	state	NOUN
ejge-4329	508	34	equation	equation	NOUN
ejge-4329	508	35	,	,	PUNCT
ejge-4329	508	36	describing	describe	VERB
ejge-4329	508	37	how	how	SCONJ
ejge-4329	508	38	the	the	DET
ejge-4329	508	39	state	state	NOUN
ejge-4329	508	40	variable	variable	ADJ
ejge-4329	508	41	changes	change	NOUN
ejge-4329	508	42	with	with	ADP
ejge-4329	508	43	time	time	NOUN
ejge-4329	508	44	)	)	PUNCT
ejge-4329	508	45	.	.	PUNCT
ejge-4329	508	46	)	)	PUNCT
ejge-4329	509	1	(	(	PUNCT
ejge-4329	509	2	ta	ta	X
ejge-4329	509	3	is	be	AUX
ejge-4329	509	4	asset	asset	NOUN
ejge-4329	509	5	holdings	holding	NOUN
ejge-4329	509	6	(	(	PUNCT
ejge-4329	509	7	a	a	DET
ejge-4329	509	8	state	state	NOUN
ejge-4329	509	9	variable	variable	NOUN
ejge-4329	509	10	)	)	PUNCT
ejge-4329	509	11	and	and	CCONJ
ejge-4329	509	12	)	)	PUNCT
ejge-4329	509	13	(	(	PUNCT
ejge-4329	509	14	tw	tw	NOUN
ejge-4329	509	15	and	and	CCONJ
ejge-4329	509	16	)	)	PUNCT
ejge-4329	509	17	(	(	PUNCT
ejge-4329	509	18	tr	tr	VERB
ejge-4329	509	19	are	be	AUX
ejge-4329	509	20	exogenous	exogenous	ADJ
ejge-4329	509	21	time	time	NOUN
ejge-4329	509	22	path	path	NOUN
ejge-4329	509	23	of	of	ADP
ejge-4329	509	24	wages	wage	NOUN
ejge-4329	509	25	and	and	CCONJ
ejge-4329	509	26	return	return	VERB
ejge-4329	509	27	on	on	ADP
ejge-4329	509	28	assets	asset	NOUN
ejge-4329	509	29	.	.	PUNCT
ejge-4329	510	1	saa	saa	PROPN
ejge-4329	510	2	=(	=(	PROPN
ejge-4329	510	3	0	0	NUM
ejge-4329	510	4	)	)	PUNCT
ejge-4329	510	5	(	(	PUNCT
ejge-4329	510	6	initial	initial	ADJ
ejge-4329	510	7	condition	condition	NOUN
ejge-4329	510	8	)	)	PUNCT
ejge-4329	510	9	,	,	PUNCT
ejge-4329	510	10	0	0	NUM
ejge-4329	510	11	)	)	PUNCT
ejge-4329	510	12	(	(	PUNCT
ejge-4329	510	13	≥ta	≥ta	X
ejge-4329	510	14	(	(	PUNCT
ejge-4329	510	15	non	non	ADJ
ejge-4329	510	16	-	-	ADJ
ejge-4329	510	17	negativity	negativity	ADJ
ejge-4329	510	18	constraint	constraint	NOUN
ejge-4329	510	19	on	on	ADP
ejge-4329	510	20	state	state	NOUN
ejge-4329	510	21	variable	variable	NOUN
ejge-4329	510	22	)	)	PUNCT
ejge-4329	510	23	,	,	PUNCT
ejge-4329	510	24	)	)	PUNCT
ejge-4329	510	25	(	(	PUNCT
ejge-4329	510	26	∞a	∞a	X
ejge-4329	510	27	free	free	ADJ
ejge-4329	510	28	(	(	PUNCT
ejge-4329	510	29	terminal	terminal	ADJ
ejge-4329	510	30	condition	condition	NOUN
ejge-4329	510	31	)	)	PUNCT
ejge-4329	510	32	.	.	PUNCT
ejge-4329	511	1	the	the	DET
ejge-4329	511	2	current	current	ADJ
ejge-4329	511	3	-	-	PUNCT
ejge-4329	511	4	value	value	NOUN
ejge-4329	511	5	hamiltonian	hamiltonian	NOUN
ejge-4329	511	6	for	for	ADP
ejge-4329	511	7	this	this	DET
ejge-4329	511	8	case	case	NOUN
ejge-4329	511	9	is	be	AUX
ejge-4329	511	10	(	(	PUNCT
ejge-4329	511	11	)	)	PUNCT
ejge-4329	511	12	(	(	PUNCT
ejge-4329	511	13	)	)	PUNCT
ejge-4329	511	14	(	(	PUNCT
ejge-4329	511	15	)	)	PUNCT
ejge-4329	511	16	(	(	PUNCT
ejge-4329	511	17	)	)	PUNCT
ejge-4329	511	18	(	(	PUNCT
ejge-4329	511	19	)	)	PUNCT
ejge-4329	511	20	[	[	PUNCT
ejge-4329	511	21	]	]	SYM
ejge-4329	511	22	.)())((=~	.)())((=~	NOUN
ejge-4329	511	23	txtptwtatrttxuh	txtptwtatrttxuh	NOUN
ejge-4329	511	24	−++	−++	ADP
ejge-4329	511	25	µ	µ	NOUN
ejge-4329	511	26	[	[	X
ejge-4329	511	27	53	53	NUM
ejge-4329	511	28	]	]	PUNCT
ejge-4329	511	29	the	the	DET
ejge-4329	511	30	maximizing	maximize	VERB
ejge-4329	511	31	conditions	condition	NOUN
ejge-4329	511	32	are	be	AUX
ejge-4329	511	33	as	as	SCONJ
ejge-4329	511	34	follows	follow	VERB
ejge-4329	511	35	:	:	PUNCT
ejge-4329	511	36	)	)	PUNCT
ejge-4329	511	37	(	(	PUNCT
ejge-4329	511	38	i	i	NOUN
ejge-4329	511	39	)	)	PUNCT
ejge-4329	511	40	(	(	PUNCT
ejge-4329	511	41	tx∗	tx∗	NOUN
ejge-4329	511	42	maximizes	maximize	VERB
ejge-4329	511	43	h~	h~	PROPN
ejge-4329	511	44	for	for	ADP
ejge-4329	511	45	all	all	DET
ejge-4329	511	46	t	t	NOUN
ejge-4329	511	47	:	:	PUNCT
ejge-4329	511	48	0,=	0,=	NUM
ejge-4329	511	49	~	~	PUNCT
ejge-4329	511	50	x	x	SYM
ejge-4329	511	51	h	h	NOUN
ejge-4329	511	52	∂	∂	NOUN
ejge-4329	511	53	∂	∂	NUM
ejge-4329	511	54	)	)	PUNCT
ejge-4329	511	55	(	(	PUNCT
ejge-4329	511	56	ii	ii	NOUN
ejge-4329	511	57	,	,	PUNCT
ejge-4329	511	58	~	~	PUNCT
ejge-4329	511	59	=	=	PUNCT
ejge-4329	511	60	.	.	PUNCT
ejge-4329	512	1	a	a	DET
ejge-4329	512	2	h	h	NOUN
ejge-4329	512	3	∂	∂	NUM
ejge-4329	512	4	∂	∂	NOUN
ejge-4329	512	5	−−	−−	NOUN
ejge-4329	512	6	ρµµ	ρµµ	NOUN
ejge-4329	512	7	)	)	PUNCT
ejge-4329	512	8	(	(	PUNCT
ejge-4329	512	9	iii	iii	X
ejge-4329	512	10	µ∂	µ∂	NOUN
ejge-4329	512	11	∂∗	∂∗	VERB
ejge-4329	512	12	ha	ha	INTJ
ejge-4329	512	13	~	~	PUNCT
ejge-4329	512	14	=	=	PUNCT
ejge-4329	512	15	.	.	PUNCT
ejge-4329	513	1	(	(	PUNCT
ejge-4329	513	2	this	this	PRON
ejge-4329	513	3	just	just	ADV
ejge-4329	513	4	gives	give	VERB
ejge-4329	513	5	back	back	ADP
ejge-4329	513	6	the	the	DET
ejge-4329	513	7	state	state	NOUN
ejge-4329	513	8	equation	equation	NOUN
ejge-4329	513	9	)	)	PUNCT
ejge-4329	513	10	,	,	PUNCT
ejge-4329	513	11	)	)	PUNCT
ejge-4329	513	12	(	(	PUNCT
ejge-4329	513	13	iv	iv	NUM
ejge-4329	513	14	0=)()(lim	0=)()(lim	NUM
ejge-4329	513	15	t	t	NOUN
ejge-4329	513	16	t	t	PROPN
ejge-4329	513	17	etat	etat	PROPN
ejge-4329	513	18	ρµ	ρµ	PROPN
ejge-4329	513	19	−	−	PROPN
ejge-4329	513	20	∞→	∞→	ADV
ejge-4329	513	21	(	(	PUNCT
ejge-4329	513	22	the	the	DET
ejge-4329	513	23	transversality	transversality	NOUN
ejge-4329	513	24	condition	condition	NOUN
ejge-4329	513	25	)	)	PUNCT
ejge-4329	513	26	.	.	PUNCT
ejge-4329	514	1	the	the	DET
ejge-4329	514	2	first	first	ADJ
ejge-4329	514	3	two	two	NUM
ejge-4329	514	4	conditions	condition	NOUN
ejge-4329	514	5	are	be	AUX
ejge-4329	514	6	as	as	SCONJ
ejge-4329	514	7	follows	follow	VERB
ejge-4329	514	8	:	:	PUNCT
ejge-4329	514	9	(	(	PUNCT
ejge-4329	514	10	)	)	PUNCT
ejge-4329	514	11	0,=)()()(=	0,=)()()(=	NOUN
ejge-4329	514	12	~	~	PUNCT
ejge-4329	514	13	.	.	PUNCT
ejge-4329	515	1	tpttxu	tpttxu	NOUN
ejge-4329	516	1	x	x	PUNCT
ejge-4329	516	2	h	h	NOUN
ejge-4329	516	3	µ−	µ−	PROPN
ejge-4329	516	4	∂	∂	NUM
ejge-4329	516	5	∂	∂	NOUN
ejge-4329	516	6	[	[	X
ejge-4329	516	7	54	54	NUM
ejge-4329	516	8	]	]	PUNCT
ejge-4329	516	9	and	and	CCONJ
ejge-4329	516	10	)	)	PUNCT
ejge-4329	516	11	.()(=	.()(=	PUNCT
ejge-4329	517	1	~	~	PUNCT
ejge-4329	517	2	=	=	PUNCT
ejge-4329	517	3	.	.	PUNCT
ejge-4329	518	1	trt	trt	NOUN
ejge-4329	518	2	a	a	DET
ejge-4329	518	3	h	h	NOUN
ejge-4329	518	4	µρµµ	µρµµ	VERB
ejge-4329	518	5	−	−	PROPN
ejge-4329	518	6	∂	∂	NUM
ejge-4329	518	7	∂	∂	NOUN
ejge-4329	518	8	−−	−−	NOUN
ejge-4329	518	9	[	[	X
ejge-4329	518	10	55	55	NUM
ejge-4329	518	11	]	]	SYM
ejge-4329	518	12	219	219	NUM
ejge-4329	518	13	n.	n.	NOUN
ejge-4329	518	14	nawaz	nawaz	ADJ
ejge-4329	518	15	/	/	SYM
ejge-4329	518	16	european	european	ADJ
ejge-4329	518	17	journal	journal	PROPN
ejge-4329	518	18	of	of	ADP
ejge-4329	518	19	government	government	NOUN
ejge-4329	518	20	and	and	CCONJ
ejge-4329	518	21	economics	economic	NOUN
ejge-4329	518	22	6(2	6(2	NUM
ejge-4329	518	23	)	)	PUNCT
ejge-4329	518	24	,	,	PUNCT
ejge-4329	518	25	191	191	NUM
ejge-4329	518	26	-	-	SYM
ejge-4329	518	27	225	225	NUM
ejge-4329	518	28	if	if	SCONJ
ejge-4329	518	29	the	the	DET
ejge-4329	518	30	price	price	NOUN
ejge-4329	518	31	of	of	ADP
ejge-4329	518	32	good	good	NOUN
ejge-4329	518	33	x	x	AUX
ejge-4329	518	34	goes	go	VERB
ejge-4329	518	35	up	up	ADP
ejge-4329	518	36	,	,	PUNCT
ejge-4329	518	37	the	the	DET
ejge-4329	518	38	consumer	consumer	NOUN
ejge-4329	518	39	faces	face	NOUN
ejge-4329	518	40	(	(	PUNCT
ejge-4329	518	41	at	at	ADP
ejge-4329	518	42	the	the	DET
ejge-4329	518	43	previous	previous	ADJ
ejge-4329	518	44	level	level	NOUN
ejge-4329	518	45	of	of	ADP
ejge-4329	518	46	consumption	consumption	NOUN
ejge-4329	518	47	)	)	PUNCT
ejge-4329	518	48	(	(	PUNCT
ejge-4329	518	49	)	)	PUNCT
ejge-4329	519	1	0.<)()()(=	0.<)()()(=	NUM
ejge-4329	519	2	~	~	PUNCT
ejge-4329	519	3	.	.	PUNCT
ejge-4329	520	1	tpttxu	tpttxu	NOUN
ejge-4329	521	1	x	x	PUNCT
ejge-4329	521	2	h	h	NOUN
ejge-4329	521	3	µ−	µ−	PROPN
ejge-4329	521	4	∂	∂	NUM
ejge-4329	521	5	∂	∂	NOUN
ejge-4329	521	6	therefore	therefore	ADV
ejge-4329	521	7	,	,	PUNCT
ejge-4329	521	8	in	in	ADP
ejge-4329	521	9	order	order	NOUN
ejge-4329	521	10	to	to	PART
ejge-4329	521	11	satisfy	satisfy	VERB
ejge-4329	521	12	the	the	DET
ejge-4329	521	13	condition	condition	NOUN
ejge-4329	521	14	of	of	ADP
ejge-4329	521	15	dynamic	dynamic	ADJ
ejge-4329	521	16	optimization	optimization	NOUN
ejge-4329	521	17	after	after	ADP
ejge-4329	521	18	the	the	DET
ejge-4329	521	19	price	price	NOUN
ejge-4329	521	20	increase	increase	NOUN
ejge-4329	521	21	,	,	PUNCT
ejge-4329	521	22	the	the	DET
ejge-4329	521	23	consumer	consumer	NOUN
ejge-4329	521	24	must	must	AUX
ejge-4329	521	25	decrease	decrease	VERB
ejge-4329	521	26	the	the	DET
ejge-4329	521	27	consumption	consumption	NOUN
ejge-4329	521	28	of	of	ADP
ejge-4329	521	29	good	good	ADJ
ejge-4329	521	30	x	x	INTJ
ejge-4329	521	31	.	.	PUNCT
ejge-4329	522	1	let	let	VERB
ejge-4329	522	2	the	the	DET
ejge-4329	522	3	change	change	NOUN
ejge-4329	522	4	in	in	ADP
ejge-4329	522	5	demand	demand	NOUN
ejge-4329	522	6	be	be	AUX
ejge-4329	522	7	proportional	proportional	ADJ
ejge-4329	522	8	to	to	ADP
ejge-4329	522	9	the	the	DET
ejge-4329	522	10	change	change	NOUN
ejge-4329	522	11	in	in	ADP
ejge-4329	522	12	price	price	NOUN
ejge-4329	522	13	,	,	PUNCT
ejge-4329	522	14	i.e.	i.e.	X
ejge-4329	522	15	p	p	NOUN
ejge-4329	522	16	.	.	PUNCT
ejge-4329	523	1	then	then	ADV
ejge-4329	523	2	we	we	PRON
ejge-4329	523	3	can	can	AUX
ejge-4329	523	4	write	write	VERB
ejge-4329	523	5	:	:	PUNCT
ejge-4329	523	6	or	or	CCONJ
ejge-4329	523	7	,	,	PUNCT
ejge-4329	523	8	demandin	demandin	VERB
ejge-4329	523	9	change	change	NOUN
ejge-4329	523	10	p∝	p∝	NOUN
ejge-4329	523	11	.=	.=	PUNCT
ejge-4329	524	1	pkw	pkw	PROPN
ejge-4329	524	2	dd	dd	NOUN
ejge-4329	525	1	−	−	PROPN
ejge-4329	526	1	[	[	X
ejge-4329	526	2	56	56	NUM
ejge-4329	526	3	]	]	PUNCT
ejge-4329	526	4	where	where	SCONJ
ejge-4329	526	5	dw	dw	PROPN
ejge-4329	526	6	is	be	AUX
ejge-4329	526	7	the	the	DET
ejge-4329	526	8	change	change	NOUN
ejge-4329	526	9	in	in	ADP
ejge-4329	526	10	demand	demand	NOUN
ejge-4329	526	11	due	due	ADP
ejge-4329	526	12	to	to	ADP
ejge-4329	526	13	p	p	NOUN
ejge-4329	526	14	;	;	PUNCT
ejge-4329	526	15	when	when	SCONJ
ejge-4329	526	16	p	p	NOUN
ejge-4329	526	17	is	be	AUX
ejge-4329	526	18	positive	positive	ADJ
ejge-4329	526	19	dw	dw	NOUN
ejge-4329	526	20	is	be	AUX
ejge-4329	526	21	negative	negative	ADJ
ejge-4329	526	22	.	.	PUNCT
ejge-4329	527	1	solution	solution	NOUN
ejge-4329	527	2	of	of	ADP
ejge-4329	527	3	the	the	DET
ejge-4329	527	4	model	model	NOUN
ejge-4329	527	5	with	with	ADP
ejge-4329	527	6	a	a	DET
ejge-4329	527	7	quantity	quantity	NOUN
ejge-4329	527	8	tax	tax	NOUN
ejge-4329	527	9	from	from	ADP
ejge-4329	527	10	eqs	eqs	PROPN
ejge-4329	527	11	.	.	PUNCT
ejge-4329	527	12	)	)	PUNCT
ejge-4329	528	1	(	(	PUNCT
ejge-4329	528	2	11a	11a	NOUN
ejge-4329	528	3	,	,	PUNCT
ejge-4329	528	4	(	(	PUNCT
ejge-4329	528	5	19	19	NUM
ejge-4329	528	6	)	)	PUNCT
ejge-4329	528	7	and	and	CCONJ
ejge-4329	528	8	(	(	PUNCT
ejge-4329	528	9	24	24	NUM
ejge-4329	528	10	)	)	PUNCT
ejge-4329	528	11	we	we	PRON
ejge-4329	528	12	have	have	VERB
ejge-4329	528	13	the	the	DET
ejge-4329	528	14	following	follow	VERB
ejge-4329	528	15	expressions	expression	NOUN
ejge-4329	528	16	:	:	PUNCT
ejge-4329	528	17	)	)	PUNCT
ejge-4329	528	18	,	,	PUNCT
ejge-4329	528	19	(=	(=	NOUN
ejge-4329	528	20	)	)	PUNCT
ejge-4329	528	21	(	(	PUNCT
ejge-4329	528	22	twk	twk	NOUN
ejge-4329	528	23	dt	dt	X
ejge-4329	528	24	tdp	tdp	NOUN
ejge-4329	528	25	m−	m−	PROPN
ejge-4329	528	26	)	)	PUNCT
ejge-4329	528	27	,	,	PUNCT
ejge-4329	528	28	(=	(=	NOUN
ejge-4329	528	29	)	)	PUNCT
ejge-4329	528	30	(	(	PUNCT
ejge-4329	528	31	tktw	tktw	NOUN
ejge-4329	528	32	sm	sm	ADV
ejge-4329	528	33	ε−	ε−	PROPN
ejge-4329	528	34	)	)	PUNCT
ejge-4329	528	35	,	,	PUNCT
ejge-4329	528	36	(	(	PUNCT
ejge-4329	528	37	)	)	PUNCT
ejge-4329	528	38	(=	(=	X
ejge-4329	528	39	)	)	PUNCT
ejge-4329	528	40	(	(	PUNCT
ejge-4329	528	41	tptct	tptct	NOUN
ejge-4329	528	42	−ε	−ε	PROPN
ejge-4329	528	43	)	)	PUNCT
ejge-4329	528	44	,	,	PUNCT
ejge-4329	528	45	(=	(=	NOUN
ejge-4329	528	46	)	)	PUNCT
ejge-4329	528	47	(	(	PUNCT
ejge-4329	528	48	tpktw	tpktw	VERB
ejge-4329	528	49	dd	dd	VERB
ejge-4329	528	50	−	−	PROPN
ejge-4329	528	51	and	and	CCONJ
ejge-4329	528	52	)	)	PUNCT
ejge-4329	528	53	,	,	PUNCT
ejge-4329	528	54	(	(	PUNCT
ejge-4329	528	55	)	)	PUNCT
ejge-4329	528	56	(=	(=	X
ejge-4329	528	57	)	)	PUNCT
ejge-4329	528	58	(	(	PUNCT
ejge-4329	528	59	twtwtw	twtwtw	NOUN
ejge-4329	529	1	dm	dm	VERB
ejge-4329	529	2	−	−	PROPN
ejge-4329	530	1	if	if	SCONJ
ejge-4329	530	2	there	there	PRON
ejge-4329	530	3	is	be	VERB
ejge-4329	530	4	no	no	DET
ejge-4329	530	5	exogenous	exogenous	ADJ
ejge-4329	530	6	change	change	NOUN
ejge-4329	530	7	in	in	ADP
ejge-4329	530	8	supply	supply	NOUN
ejge-4329	530	9	and	and	CCONJ
ejge-4329	530	10	demand	demand	NOUN
ejge-4329	530	11	.	.	PUNCT
ejge-4329	531	1	from	from	ADP
ejge-4329	531	2	the	the	DET
ejge-4329	531	3	above	above	ADJ
ejge-4329	531	4	equations	equation	NOUN
ejge-4329	531	5	,	,	PUNCT
ejge-4329	531	6	we	we	PRON
ejge-4329	531	7	obtain	obtain	VERB
ejge-4329	531	8	[	[	PUNCT
ejge-4329	531	9	]	]	X
ejge-4329	531	10	)	)	PUNCT
ejge-4329	531	11	(	(	PUNCT
ejge-4329	531	12	)	)	PUNCT
ejge-4329	531	13	(=	(=	X
ejge-4329	531	14	)	)	PUNCT
ejge-4329	531	15	(	(	PUNCT
ejge-4329	531	16	twtwk	twtwk	ADJ
ejge-4329	531	17	dt	dt	AUX
ejge-4329	531	18	tdp	tdp	NOUN
ejge-4329	531	19	dmm	dmm	PROPN
ejge-4329	531	20	−−	−−	NOUN
ejge-4329	531	21	[	[	PUNCT
ejge-4329	531	22	]	]	X
ejge-4329	531	23	)	)	PUNCT
ejge-4329	531	24	(	(	PUNCT
ejge-4329	531	25	)	)	PUNCT
ejge-4329	532	1	(=	(=	NOUN
ejge-4329	533	1	tpktkk	tpktkk	NOUN
ejge-4329	533	2	dsm	dsm	VERB
ejge-4329	533	3	+	+	PROPN
ejge-4329	533	4	−−	−−	NOUN
ejge-4329	533	5	ε	ε	NOUN
ejge-4329	533	6	[	[	PUNCT
ejge-4329	533	7	]	]	X
ejge-4329	533	8	.)()()(=	.)()()(=	PUNCT
ejge-4329	533	9	tpkktckk	tpkktckk	VERB
ejge-4329	533	10	dssm	dssm	NOUN
ejge-4329	534	1	+	+	ADJ
ejge-4329	534	2	+	+	NOUN
ejge-4329	534	3	−−	−−	NOUN
ejge-4329	534	4	the	the	DET
ejge-4329	534	5	above	above	ADJ
ejge-4329	534	6	expression	expression	NOUN
ejge-4329	534	7	can	can	AUX
ejge-4329	534	8	be	be	AUX
ejge-4329	534	9	rearranged	rearrange	VERB
ejge-4329	534	10	as	as	SCONJ
ejge-4329	534	11	follows	follow	VERB
ejge-4329	534	12	:	:	PUNCT
ejge-4329	534	13	)	)	PUNCT
ejge-4329	534	14	.(=	.(=	PUNCT
ejge-4329	534	15	)	)	PUNCT
ejge-4329	534	16	(	(	PUNCT
ejge-4329	534	17	)	)	PUNCT
ejge-4329	534	18	(	(	PUNCT
ejge-4329	534	19	)	)	PUNCT
ejge-4329	534	20	(	(	PUNCT
ejge-4329	534	21	tckktpkkk	tckktpkkk	NOUN
ejge-4329	534	22	dt	dt	NOUN
ejge-4329	534	23	tdp	tdp	NOUN
ejge-4329	534	24	smdsm	smdsm	VERB
ejge-4329	534	25	+	+	PROPN
ejge-4329	534	26	+	+	PROPN
ejge-4329	535	1	[	[	NOUN
ejge-4329	535	2	57	57	NUM
ejge-4329	535	3	]	]	SYM
ejge-4329	535	4	220	220	NUM
ejge-4329	535	5	n.	n.	NOUN
ejge-4329	535	6	nawaz	nawaz	ADJ
ejge-4329	535	7	/	/	SYM
ejge-4329	535	8	european	european	ADJ
ejge-4329	535	9	journal	journal	PROPN
ejge-4329	535	10	of	of	ADP
ejge-4329	535	11	government	government	NOUN
ejge-4329	535	12	and	and	CCONJ
ejge-4329	535	13	economics	economic	NOUN
ejge-4329	535	14	6(2	6(2	NUM
ejge-4329	535	15	)	)	PUNCT
ejge-4329	535	16	,	,	PUNCT
ejge-4329	535	17	191	191	NUM
ejge-4329	535	18	-	-	SYM
ejge-4329	535	19	225	225	NUM
ejge-4329	535	20	if	if	SCONJ
ejge-4329	535	21	ttc	ttc	NOUN
ejge-4329	535	22	=)	=)	PROPN
ejge-4329	535	23	(	(	PUNCT
ejge-4329	535	24	,	,	PUNCT
ejge-4329	535	25	i.e.	i.e.	X
ejge-4329	535	26	the	the	DET
ejge-4329	535	27	government	government	NOUN
ejge-4329	535	28	imposes	impose	VERB
ejge-4329	535	29	a	a	DET
ejge-4329	535	30	per	per	X
ejge-4329	535	31	unit	unit	NOUN
ejge-4329	535	32	tax	tax	NOUN
ejge-4329	535	33	on	on	ADP
ejge-4329	535	34	producer	producer	NOUN
ejge-4329	535	35	at	at	ADP
ejge-4329	535	36	0	0	NUM
ejge-4329	535	37	=	=	NOUN
ejge-4329	535	38	t	t	PROPN
ejge-4329	535	39	,	,	PUNCT
ejge-4329	535	40	then	then	ADV
ejge-4329	535	41	the	the	DET
ejge-4329	535	42	above	above	ADJ
ejge-4329	535	43	differential	differential	ADJ
ejge-4329	535	44	equation	equation	NOUN
ejge-4329	535	45	becomes	become	VERB
ejge-4329	535	46	as	as	SCONJ
ejge-4329	535	47	follows	follow	VERB
ejge-4329	535	48	:	:	PUNCT
ejge-4329	535	49	.=	.=	NOUN
ejge-4329	535	50	)	)	PUNCT
ejge-4329	535	51	(	(	PUNCT
ejge-4329	535	52	)	)	PUNCT
ejge-4329	535	53	(	(	PUNCT
ejge-4329	535	54	)	)	PUNCT
ejge-4329	535	55	(	(	PUNCT
ejge-4329	535	56	tkktpkkk	tkktpkkk	NOUN
ejge-4329	535	57	dt	dt	AUX
ejge-4329	535	58	tdp	tdp	NOUN
ejge-4329	535	59	smdsm	smdsm	VERB
ejge-4329	535	60	+	+	PROPN
ejge-4329	535	61	+	+	PROPN
ejge-4329	535	62	[	[	X
ejge-4329	535	63	58	58	NUM
ejge-4329	535	64	]	]	PUNCT
ejge-4329	535	65	now	now	ADV
ejge-4329	535	66	let	let	VERB
ejge-4329	535	67	’s	’s	NOUN
ejge-4329	535	68	look	look	VERB
ejge-4329	535	69	at	at	ADP
ejge-4329	535	70	the	the	DET
ejge-4329	535	71	dynamics	dynamic	NOUN
ejge-4329	535	72	of	of	ADP
ejge-4329	535	73	the	the	DET
ejge-4329	535	74	price	price	NOUN
ejge-4329	535	75	if	if	SCONJ
ejge-4329	535	76	the	the	DET
ejge-4329	535	77	quantity	quantity	NOUN
ejge-4329	535	78	tax	tax	NOUN
ejge-4329	535	79	is	be	AUX
ejge-4329	535	80	imposed	impose	VERB
ejge-4329	535	81	on	on	ADP
ejge-4329	535	82	the	the	DET
ejge-4329	535	83	buyer	buyer	NOUN
ejge-4329	535	84	instead	instead	ADV
ejge-4329	535	85	.	.	PUNCT
ejge-4329	536	1	we	we	PRON
ejge-4329	536	2	start	start	VERB
ejge-4329	536	3	from	from	ADP
ejge-4329	536	4	the	the	DET
ejge-4329	536	5	same	same	ADJ
ejge-4329	536	6	expressions	expression	NOUN
ejge-4329	536	7	as	as	SCONJ
ejge-4329	536	8	we	we	PRON
ejge-4329	536	9	did	do	VERB
ejge-4329	536	10	for	for	ADP
ejge-4329	536	11	a	a	DET
ejge-4329	536	12	producer	producer	NOUN
ejge-4329	536	13	’s	’s	PART
ejge-4329	536	14	tax	tax	NOUN
ejge-4329	536	15	,	,	PUNCT
ejge-4329	536	16	i.e.	i.e.	X
ejge-4329	536	17	[	[	PUNCT
ejge-4329	536	18	]	]	X
ejge-4329	536	19	,	,	PUNCT
ejge-4329	536	20	)	)	PUNCT
ejge-4329	536	21	(	(	PUNCT
ejge-4329	536	22	)	)	PUNCT
ejge-4329	536	23	(=	(=	X
ejge-4329	536	24	)	)	PUNCT
ejge-4329	536	25	(	(	PUNCT
ejge-4329	536	26	twtwk	twtwk	ADJ
ejge-4329	536	27	dt	dt	AUX
ejge-4329	536	28	tdp	tdp	NOUN
ejge-4329	536	29	dmm	dmm	PROPN
ejge-4329	536	30	−−	−−	PROPN
ejge-4329	536	31	)	)	PUNCT
ejge-4329	536	32	,	,	PUNCT
ejge-4329	536	33	(=	(=	NOUN
ejge-4329	536	34	)	)	PUNCT
ejge-4329	536	35	(	(	PUNCT
ejge-4329	536	36	tktw	tktw	NOUN
ejge-4329	536	37	sm	sm	ADV
ejge-4329	536	38	ε−	ε−	PROPN
ejge-4329	536	39	)	)	PUNCT
ejge-4329	536	40	.(=	.(=	PUNCT
ejge-4329	536	41	)	)	PUNCT
ejge-4329	537	1	(	(	PUNCT
ejge-4329	537	2	tpktw	tpktw	VERB
ejge-4329	537	3	dd	dd	VERB
ejge-4329	537	4	−	−	PROPN
ejge-4329	537	5	the	the	DET
ejge-4329	537	6	market	market	NOUN
ejge-4329	537	7	price	price	NOUN
ejge-4329	537	8	is	be	AUX
ejge-4329	537	9	the	the	DET
ejge-4329	537	10	buyer	buyer	NOUN
ejge-4329	537	11	’s	’s	PART
ejge-4329	537	12	price	price	NOUN
ejge-4329	537	13	as	as	ADP
ejge-4329	537	14	before	before	ADV
ejge-4329	537	15	,	,	PUNCT
ejge-4329	537	16	however	however	ADV
ejge-4329	537	17	,	,	PUNCT
ejge-4329	537	18	the	the	DET
ejge-4329	537	19	producer	producer	NOUN
ejge-4329	537	20	will	will	AUX
ejge-4329	537	21	be	be	AUX
ejge-4329	537	22	taking	take	VERB
ejge-4329	537	23	into	into	ADP
ejge-4329	537	24	account	account	NOUN
ejge-4329	537	25	the	the	DET
ejge-4329	537	26	price	price	NOUN
ejge-4329	537	27	before	before	ADP
ejge-4329	537	28	tax	tax	NOUN
ejge-4329	537	29	for	for	ADP
ejge-4329	537	30	his	his	PRON
ejge-4329	537	31	/	/	SYM
ejge-4329	537	32	her	her	PRON
ejge-4329	537	33	production	production	NOUN
ejge-4329	537	34	decisions	decision	NOUN
ejge-4329	537	35	.	.	PUNCT
ejge-4329	538	1	therefore	therefore	ADV
ejge-4329	538	2	,	,	PUNCT
ejge-4329	538	3	)	)	PUNCT
ejge-4329	538	4	.(=	.(=	PUNCT
ejge-4329	538	5	)	)	PUNCT
ejge-4329	539	1	(	(	PUNCT
ejge-4329	539	2	tptt	tptt	NOUN
ejge-4329	539	3	−ε	−ε	PROPN
ejge-4329	540	1	[	[	X
ejge-4329	540	2	59	59	NUM
ejge-4329	540	3	]	]	PUNCT
ejge-4329	540	4	this	this	PRON
ejge-4329	540	5	implies	imply	VERB
ejge-4329	540	6	that	that	SCONJ
ejge-4329	540	7	{	{	PUNCT
ejge-4329	540	8	}	}	PUNCT
ejge-4329	540	9	[	[	PUNCT
ejge-4329	540	10	]	]	X
ejge-4329	540	11	,	,	PUNCT
ejge-4329	540	12	)	)	PUNCT
ejge-4329	540	13	(	(	PUNCT
ejge-4329	540	14	)	)	PUNCT
ejge-4329	540	15	(=	(=	X
ejge-4329	540	16	)	)	PUNCT
ejge-4329	540	17	(	(	PUNCT
ejge-4329	540	18	tpkttpkk	tpkttpkk	ADJ
ejge-4329	540	19	dt	dt	AUX
ejge-4329	540	20	tdp	tdp	NOUN
ejge-4329	540	21	dsm	dsm	PROPN
ejge-4329	540	22	+	+	PROPN
ejge-4329	540	23	−−	−−	NOUN
ejge-4329	540	24	,	,	PUNCT
ejge-4329	540	25	=)	=)	PROPN
ejge-4329	540	26	(	(	PUNCT
ejge-4329	540	27	)	)	PUNCT
ejge-4329	540	28	(	(	PUNCT
ejge-4329	540	29	)	)	PUNCT
ejge-4329	540	30	(	(	PUNCT
ejge-4329	540	31	tkktpkkk	tkktpkkk	NOUN
ejge-4329	540	32	dt	dt	AUX
ejge-4329	540	33	tdp	tdp	NOUN
ejge-4329	540	34	smdsm	smdsm	VERB
ejge-4329	540	35	+	+	PROPN
ejge-4329	540	36	+	+	ADP
ejge-4329	540	37	which	which	PRON
ejge-4329	540	38	is	be	AUX
ejge-4329	540	39	the	the	DET
ejge-4329	540	40	same	same	ADJ
ejge-4329	540	41	as	as	ADP
ejge-4329	540	42	eq	eq	ADP
ejge-4329	540	43	.	.	PUNCT
ejge-4329	541	1	[	[	X
ejge-4329	541	2	58	58	NUM
ejge-4329	541	3	]	]	PUNCT
ejge-4329	541	4	.	.	PUNCT
ejge-4329	542	1	in	in	ADP
ejge-4329	542	2	order	order	NOUN
ejge-4329	542	3	to	to	PART
ejge-4329	542	4	solve	solve	VERB
ejge-4329	542	5	the	the	DET
ejge-4329	542	6	above	above	ADJ
ejge-4329	542	7	differential	differential	ADJ
ejge-4329	542	8	equation	equation	NOUN
ejge-4329	542	9	with	with	ADP
ejge-4329	542	10	initial	initial	ADJ
ejge-4329	542	11	conditions	condition	NOUN
ejge-4329	542	12	of	of	ADP
ejge-4329	542	13	a	a	DET
ejge-4329	542	14	buyer	buyer	NOUN
ejge-4329	542	15	’s	’s	PART
ejge-4329	542	16	tax	tax	NOUN
ejge-4329	542	17	,	,	PUNCT
ejge-4329	542	18	we	we	PRON
ejge-4329	542	19	proceed	proceed	VERB
ejge-4329	542	20	as	as	SCONJ
ejge-4329	542	21	follows	follow	VERB
ejge-4329	542	22	.	.	PUNCT
ejge-4329	543	1	the	the	DET
ejge-4329	543	2	characteristic	characteristic	ADJ
ejge-4329	543	3	function	function	NOUN
ejge-4329	543	4	of	of	ADP
ejge-4329	543	5	the	the	DET
ejge-4329	543	6	differential	differential	ADJ
ejge-4329	543	7	equation	equation	NOUN
ejge-4329	543	8	is	be	AUX
ejge-4329	543	9	0.=	0.=	NOUN
ejge-4329	543	10	)	)	PUNCT
ejge-4329	543	11	(	(	PUNCT
ejge-4329	543	12	dsm	dsm	PROPN
ejge-4329	543	13	kkkx	kkkx	NOUN
ejge-4329	544	1	+	+	PROPN
ejge-4329	544	2	+	+	CCONJ
ejge-4329	544	3	the	the	DET
ejge-4329	544	4	characteristic	characteristic	ADJ
ejge-4329	544	5	function	function	NOUN
ejge-4329	544	6	has	have	VERB
ejge-4329	544	7	a	a	DET
ejge-4329	544	8	single	single	ADJ
ejge-4329	544	9	root	root	NOUN
ejge-4329	544	10	given	give	VERB
ejge-4329	544	11	by	by	ADP
ejge-4329	544	12	)	)	PUNCT
ejge-4329	544	13	.(=	.(=	PROPN
ejge-4329	544	14	dsm	dsm	PROPN
ejge-4329	544	15	kkkx	kkkx	NOUN
ejge-4329	545	1	+	+	PROPN
ejge-4329	545	2	−	−	PROPN
ejge-4329	545	3	thus	thus	ADV
ejge-4329	545	4	,	,	PUNCT
ejge-4329	545	5	the	the	DET
ejge-4329	545	6	complementary	complementary	ADJ
ejge-4329	545	7	solution	solution	NOUN
ejge-4329	545	8	is	be	AUX
ejge-4329	545	9	[	[	PUNCT
ejge-4329	545	10	]	]	X
ejge-4329	545	11	.=	.=	NOUN
ejge-4329	545	12	)	)	PUNCT
ejge-4329	545	13	(	(	PUNCT
ejge-4329	545	14	)	)	PUNCT
ejge-4329	545	15	(	(	PUNCT
ejge-4329	545	16	2	2	NUM
ejge-4329	545	17	tdkskmk	tdkskmk	NOUN
ejge-4329	545	18	c	c	NOUN
ejge-4329	545	19	ectp	ectp	NOUN
ejge-4329	546	1	+	+	ADP
ejge-4329	546	2	−	−	PROPN
ejge-4329	546	3	the	the	DET
ejge-4329	546	4	particular	particular	ADJ
ejge-4329	546	5	solution	solution	NOUN
ejge-4329	546	6	has	have	VERB
ejge-4329	546	7	the	the	DET
ejge-4329	546	8	form	form	NOUN
ejge-4329	546	9	.=	.=	PROPN
ejge-4329	546	10	)	)	PUNCT
ejge-4329	546	11	(	(	PUNCT
ejge-4329	546	12	1ctpp	1ctpp	NUM
ejge-4329	546	13	thus	thus	ADV
ejge-4329	546	14	,	,	PUNCT
ejge-4329	546	15	the	the	DET
ejge-4329	546	16	solution	solution	NOUN
ejge-4329	546	17	has	have	VERB
ejge-4329	546	18	the	the	DET
ejge-4329	546	19	form	form	NOUN
ejge-4329	546	20	[	[	PUNCT
ejge-4329	546	21	]	]	PUNCT
ejge-4329	546	22	.=	.=	NOUN
ejge-4329	546	23	)	)	PUNCT
ejge-4329	546	24	(	(	PUNCT
ejge-4329	546	25	)	)	PUNCT
ejge-4329	546	26	(	(	PUNCT
ejge-4329	546	27	21	21	NUM
ejge-4329	546	28	tdkskmkecctp	tdkskmkecctp	NOUN
ejge-4329	547	1	+	+	NOUN
ejge-4329	547	2	−+	−+	PROPN
ejge-4329	547	3	[	[	X
ejge-4329	547	4	60	60	NUM
ejge-4329	547	5	]	]	X
ejge-4329	547	6	the	the	DET
ejge-4329	547	7	constant	constant	ADJ
ejge-4329	547	8	1c	1c	NOUN
ejge-4329	547	9	is	be	AUX
ejge-4329	547	10	determined	determine	VERB
ejge-4329	547	11	by	by	ADP
ejge-4329	547	12	substitution	substitution	NOUN
ejge-4329	547	13	into	into	ADP
ejge-4329	547	14	the	the	DET
ejge-4329	547	15	differential	differential	ADJ
ejge-4329	547	16	equation	equation	NOUN
ejge-4329	547	17	:	:	PUNCT
ejge-4329	547	18	221	221	NUM
ejge-4329	547	19	n.	n.	NOUN
ejge-4329	547	20	nawaz	nawaz	ADJ
ejge-4329	547	21	/	/	SYM
ejge-4329	547	22	european	european	ADJ
ejge-4329	547	23	journal	journal	PROPN
ejge-4329	547	24	of	of	ADP
ejge-4329	547	25	government	government	NOUN
ejge-4329	547	26	and	and	CCONJ
ejge-4329	547	27	economics	economic	NOUN
ejge-4329	547	28	6(2	6(2	NUM
ejge-4329	547	29	)	)	PUNCT
ejge-4329	547	30	,	,	PUNCT
ejge-4329	547	31	191	191	NUM
ejge-4329	547	32	-	-	SYM
ejge-4329	547	33	225	225	NUM
ejge-4329	547	34	[	[	PUNCT
ejge-4329	547	35	]	]	X
ejge-4329	547	36	[	[	PUNCT
ejge-4329	547	37	]	]	X
ejge-4329	547	38	,	,	PUNCT
ejge-4329	547	39	=)	=)	PROPN
ejge-4329	547	40	(	(	PUNCT
ejge-4329	547	41	)	)	PUNCT
ejge-4329	547	42	(	(	PUNCT
ejge-4329	547	43	)	)	PUNCT
ejge-4329	547	44	(	(	PUNCT
ejge-4329	547	45	)	)	PUNCT
ejge-4329	547	46	(	(	PUNCT
ejge-4329	547	47	21	21	NUM
ejge-4329	547	48	)	)	PUNCT
ejge-4329	547	49	(	(	PUNCT
ejge-4329	547	50	2	2	NUM
ejge-4329	547	51	tkkeckkkckkkeckkk	tkkeckkkckkkeckkk	NOUN
ejge-4329	547	52	sm	sm	PROPN
ejge-4329	547	53	tdkskmk	tdkskmk	PROPN
ejge-4329	547	54	dsmdsm	dsmdsm	PROPN
ejge-4329	547	55	tdkskmk	tdkskmk	PROPN
ejge-4329	547	56	dsm	dsm	PROPN
ejge-4329	547	57	+	+	SYM
ejge-4329	547	58	−+−	−+−	ADJ
ejge-4329	547	59	+	+	PROPN
ejge-4329	547	60	+	+	ADJ
ejge-4329	547	61	+	+	ADJ
ejge-4329	547	62	+	+	ADJ
ejge-4329	547	63	+	+	NOUN
ejge-4329	547	64	−	−	NOUN
ejge-4329	547	65	.=1	.=1	PUNCT
ejge-4329	548	1	ds	ds	PROPN
ejge-4329	548	2	s	s	X
ejge-4329	548	3	kk	kk	PROPN
ejge-4329	548	4	tkc	tkc	PROPN
ejge-4329	549	1	+	+	PROPN
ejge-4329	550	1	2c	2c	NOUN
ejge-4329	550	2	is	be	AUX
ejge-4329	550	3	determined	determine	VERB
ejge-4329	550	4	by	by	ADP
ejge-4329	550	5	the	the	DET
ejge-4329	550	6	initial	initial	ADJ
ejge-4329	550	7	condition	condition	NOUN
ejge-4329	550	8	by	by	ADP
ejge-4329	550	9	,	,	PUNCT
ejge-4329	550	10	=	=	NOUN
ejge-4329	550	11	=(	=(	NOUN
ejge-4329	550	12	0	0	NUM
ejge-4329	550	13	)	)	PUNCT
ejge-4329	551	1	2	2	NUM
ejge-4329	551	2	tc	tc	NUM
ejge-4329	551	3	kk	kk	X
ejge-4329	551	4	tkp	tkp	PROPN
ejge-4329	551	5	ds	ds	PROPN
ejge-4329	551	6	s	s	PART
ejge-4329	551	7	+	+	X
ejge-4329	551	8	+	+	CCONJ
ejge-4329	551	9	ds	ds	PRON
ejge-4329	551	10	s	s	X
ejge-4329	551	11	kk	kk	X
ejge-4329	551	12	tktc	tktc	VERB
ejge-4329	551	13	+	+	CCONJ
ejge-4329	551	14	−=2	−=2	PROPN
ejge-4329	551	15	ds	ds	PROPN
ejge-4329	551	16	sds	sds	PROPN
ejge-4329	551	17	kk	kk	PROPN
ejge-4329	551	18	tktktk	tktktk	PROPN
ejge-4329	551	19	+	+	X
ejge-4329	551	20	−+=	−+=	ADJ
ejge-4329	551	21	.=	.=	NOUN
ejge-4329	552	1	ds	ds	INTJ
ejge-4329	552	2	d	d	NOUN
ejge-4329	552	3	kk	kk	PROPN
ejge-4329	552	4	tk	tk	PROPN
ejge-4329	552	5	+	+	CCONJ
ejge-4329	552	6	substituting	substitute	VERB
ejge-4329	552	7	the	the	DET
ejge-4329	552	8	values	value	NOUN
ejge-4329	552	9	of	of	ADP
ejge-4329	552	10	1c	1c	NUM
ejge-4329	552	11	and	and	CCONJ
ejge-4329	552	12	2c	2c	NOUN
ejge-4329	552	13	in	in	ADP
ejge-4329	552	14	eq	eq	ADP
ejge-4329	552	15	.	.	PUNCT
ejge-4329	553	1	(	(	PUNCT
ejge-4329	553	2	60	60	NUM
ejge-4329	553	3	)	)	PUNCT
ejge-4329	553	4	,	,	PUNCT
ejge-4329	553	5	we	we	PRON
ejge-4329	553	6	obtain	obtain	VERB
ejge-4329	553	7	[	[	PUNCT
ejge-4329	553	8	]	]	PUNCT
ejge-4329	553	9	.=	.=	NOUN
ejge-4329	553	10	)	)	PUNCT
ejge-4329	553	11	(	(	PUNCT
ejge-4329	553	12	)	)	PUNCT
ejge-4329	553	13	(	(	PUNCT
ejge-4329	553	14	tdkskmk	tdkskmk	NOUN
ejge-4329	553	15	ds	ds	PRON
ejge-4329	553	16	d	d	NOUN
ejge-4329	553	17	ds	ds	NOUN
ejge-4329	553	18	s	s	PROPN
ejge-4329	553	19	e	e	X
ejge-4329	553	20	kk	kk	PROPN
ejge-4329	553	21	tk	tk	PROPN
ejge-4329	553	22	kk	kk	PROPN
ejge-4329	553	23	tktp	tktp	VERB
ejge-4329	553	24	+	+	ADV
ejge-4329	553	25	−	−	PROPN
ejge-4329	554	1	+	+	X
ejge-4329	555	1	+	+	PUNCT
ejge-4329	556	1	+	+	NOUN
ejge-4329	557	1	[	[	NOUN
ejge-4329	557	2	61	61	NUM
ejge-4329	557	3	]	]	PUNCT
ejge-4329	557	4	when	when	SCONJ
ejge-4329	557	5	0,=t	0,=t	PROPN
ejge-4329	557	6	tp	tp	ADP
ejge-4329	557	7	=(	=(	PROPN
ejge-4329	557	8	0	0	NUM
ejge-4329	557	9	)	)	PUNCT
ejge-4329	557	10	(	(	PUNCT
ejge-4329	557	11	the	the	DET
ejge-4329	557	12	initial	initial	ADJ
ejge-4329	557	13	condition	condition	NOUN
ejge-4329	557	14	)	)	PUNCT
ejge-4329	557	15	,	,	PUNCT
ejge-4329	557	16	and	and	CCONJ
ejge-4329	557	17	when	when	SCONJ
ejge-4329	557	18	,	,	PUNCT
ejge-4329	557	19	=	=	SYM
ejge-4329	557	20	∞t	∞t	NOUN
ejge-4329	557	21	ds	ds	PROPN
ejge-4329	557	22	s	s	X
ejge-4329	557	23	kk	kk	X
ejge-4329	557	24	tkp	tkp	PROPN
ejge-4329	557	25	+	+	CCONJ
ejge-4329	557	26	∞	∞	PROPN
ejge-4329	557	27	=)	=)	PROPN
ejge-4329	557	28	(	(	PUNCT
ejge-4329	557	29	(	(	PUNCT
ejge-4329	557	30	the	the	DET
ejge-4329	557	31	final	final	ADJ
ejge-4329	557	32	steady	steady	ADJ
ejge-4329	557	33	state	state	NOUN
ejge-4329	557	34	equilibrium	equilibrium	NOUN
ejge-4329	557	35	value	value	NOUN
ejge-4329	557	36	)	)	PUNCT
ejge-4329	557	37	.	.	PUNCT
ejge-4329	558	1	in	in	ADP
ejge-4329	558	2	the	the	DET
ejge-4329	558	3	final	final	ADJ
ejge-4329	558	4	equilibrium	equilibrium	NOUN
ejge-4329	558	5	,	,	PUNCT
ejge-4329	558	6	the	the	DET
ejge-4329	558	7	quantity	quantity	NOUN
ejge-4329	558	8	demanded	demand	VERB
ejge-4329	558	9	must	must	AUX
ejge-4329	558	10	equal	equal	VERB
ejge-4329	558	11	the	the	DET
ejge-4329	558	12	quantity	quantity	NOUN
ejge-4329	558	13	supplied	supply	VERB
ejge-4329	558	14	.	.	PUNCT
ejge-4329	559	1	in	in	ADP
ejge-4329	559	2	order	order	NOUN
ejge-4329	559	3	to	to	PART
ejge-4329	559	4	verify	verify	VERB
ejge-4329	559	5	that	that	SCONJ
ejge-4329	559	6	this	this	DET
ejge-4329	559	7	holds	hold	VERB
ejge-4329	559	8	,	,	PUNCT
ejge-4329	559	9	we	we	PRON
ejge-4329	559	10	proceed	proceed	VERB
ejge-4329	559	11	as	as	SCONJ
ejge-4329	559	12	follows	follow	VERB
ejge-4329	559	13	:	:	PUNCT
ejge-4329	559	14	from	from	ADP
ejge-4329	559	15	eq	eq	ADP
ejge-4329	559	16	.	.	PUNCT
ejge-4329	560	1	[	[	X
ejge-4329	560	2	56	56	NUM
ejge-4329	560	3	]	]	PUNCT
ejge-4329	560	4	,	,	PUNCT
ejge-4329	560	5	the	the	DET
ejge-4329	560	6	change	change	NOUN
ejge-4329	560	7	in	in	ADP
ejge-4329	560	8	demand	demand	NOUN
ejge-4329	560	9	due	due	ADP
ejge-4329	560	10	to	to	ADP
ejge-4329	560	11	a	a	DET
ejge-4329	560	12	change	change	NOUN
ejge-4329	560	13	in	in	ADP
ejge-4329	560	14	price	price	NOUN
ejge-4329	560	15	after	after	SCONJ
ejge-4329	560	16	the	the	DET
ejge-4329	560	17	tax	tax	NOUN
ejge-4329	560	18	is	be	AUX
ejge-4329	560	19	as	as	SCONJ
ejge-4329	560	20	follows	follow	VERB
ejge-4329	560	21	:	:	PUNCT
ejge-4329	560	22	)	)	PUNCT
ejge-4329	560	23	,	,	PUNCT
ejge-4329	560	24	(=	(=	NOUN
ejge-4329	560	25	)	)	PUNCT
ejge-4329	560	26	(	(	PUNCT
ejge-4329	560	27	tpktw	tpktw	VERB
ejge-4329	560	28	dd	dd	VERB
ejge-4329	560	29	−	−	PROPN
ejge-4329	560	30	)	)	PUNCT
ejge-4329	560	31	,	,	PUNCT
ejge-4329	560	32	(=	(=	X
ejge-4329	560	33	(	(	PUNCT
ejge-4329	560	34	0))(or	0))(or	PROPN
ejge-4329	560	35	tpkwtw	tpkwtw	PROPN
ejge-4329	560	36	didnd	didnd	NOUN
ejge-4329	560	37	−−	−−	NOUN
ejge-4329	560	38	where	where	SCONJ
ejge-4329	560	39	(	(	PUNCT
ejge-4329	560	40	0)idw	0)idw	NOUN
ejge-4329	560	41	is	be	AUX
ejge-4329	560	42	the	the	DET
ejge-4329	560	43	initial	initial	ADJ
ejge-4329	560	44	demand	demand	NOUN
ejge-4329	560	45	and	and	CCONJ
ejge-4329	560	46	)	)	PUNCT
ejge-4329	560	47	(	(	PUNCT
ejge-4329	560	48	twnd	twnd	NOUN
ejge-4329	560	49	is	be	AUX
ejge-4329	560	50	the	the	DET
ejge-4329	560	51	new	new	ADJ
ejge-4329	560	52	demand	demand	NOUN
ejge-4329	560	53	after	after	ADP
ejge-4329	560	54	tax	tax	NOUN
ejge-4329	560	55	,	,	PUNCT
ejge-4329	560	56	because	because	SCONJ
ejge-4329	560	57	)	)	PUNCT
ejge-4329	560	58	(	(	PUNCT
ejge-4329	560	59	twd	twd	PROPN
ejge-4329	560	60	is	be	AUX
ejge-4329	560	61	a	a	DET
ejge-4329	560	62	deviation	deviation	NOUN
ejge-4329	560	63	variable	variable	ADJ
ejge-4329	560	64	,	,	PUNCT
ejge-4329	560	65	i.e.	i.e.	X
ejge-4329	560	66	deviation	deviation	NOUN
ejge-4329	560	67	from	from	ADP
ejge-4329	560	68	the	the	DET
ejge-4329	560	69	initial	initial	ADJ
ejge-4329	560	70	equilibrium	equilibrium	NOUN
ejge-4329	560	71	value	value	NOUN
ejge-4329	560	72	.	.	PUNCT
ejge-4329	561	1	similarly	similarly	ADV
ejge-4329	561	2	from	from	ADP
ejge-4329	561	3	eq	eq	NOUN
ejge-4329	561	4	.	.	PUNCT
ejge-4329	562	1	[	[	X
ejge-4329	562	2	51	51	NUM
ejge-4329	562	3	]	]	PUNCT
ejge-4329	562	4	,	,	PUNCT
ejge-4329	562	5	for	for	ADP
ejge-4329	562	6	the	the	DET
ejge-4329	562	7	supply	supply	NOUN
ejge-4329	562	8	)	)	PUNCT
ejge-4329	562	9	,	,	PUNCT
ejge-4329	562	10	(=	(=	NOUN
ejge-4329	562	11	)	)	PUNCT
ejge-4329	562	12	(	(	PUNCT
ejge-4329	562	13	tktw	tktw	NOUN
ejge-4329	562	14	sm	sm	VERB
ejge-4329	562	15	ε−	ε−	PROPN
ejge-4329	562	16	[	[	PUNCT
ejge-4329	562	17	]	]	X
ejge-4329	562	18	.)(=(0	.)(=(0	NOUN
ejge-4329	562	19	)	)	PUNCT
ejge-4329	562	20	)	)	PUNCT
ejge-4329	563	1	(	(	PUNCT
ejge-4329	563	2	tptkwtw	tptkwtw	PROPN
ejge-4329	563	3	simnm	simnm	PROPN
ejge-4329	563	4	−−−	−−−	X
ejge-4329	563	5	in	in	ADP
ejge-4329	563	6	the	the	DET
ejge-4329	563	7	final	final	ADJ
ejge-4329	563	8	equilibrium	equilibrium	NOUN
ejge-4329	563	9	or),(=	or),(=	NOUN
ejge-4329	563	10	)	)	PUNCT
ejge-4329	563	11	(	(	PUNCT
ejge-4329	563	12	∞∞	∞∞	NOUN
ejge-4329	563	13	ndnm	ndnm	PROPN
ejge-4329	563	14	ww	ww	PROPN
ejge-4329	564	1	[	[	PUNCT
ejge-4329	564	2	]	]	X
ejge-4329	564	3	)	)	PUNCT
ejge-4329	564	4	,	,	PUNCT
ejge-4329	564	5	(	(	PUNCT
ejge-4329	564	6	(	(	PUNCT
ejge-4329	564	7	0)=)((0	0)=)((0	NOUN
ejge-4329	564	8	)	)	PUNCT
ejge-4329	564	9	∞−∞−−	∞−∞−−	PROPN
ejge-4329	564	10	pkwptkw	pkwptkw	VERB
ejge-4329	564	11	didsim	didsim	NOUN
ejge-4329	564	12	222	222	NUM
ejge-4329	564	13	n.	n.	NOUN
ejge-4329	564	14	nawaz	nawaz	ADJ
ejge-4329	564	15	/	/	SYM
ejge-4329	564	16	european	european	ADJ
ejge-4329	564	17	journal	journal	PROPN
ejge-4329	564	18	of	of	ADP
ejge-4329	564	19	government	government	NOUN
ejge-4329	564	20	and	and	CCONJ
ejge-4329	564	21	economics	economic	NOUN
ejge-4329	564	22	6(2	6(2	NUM
ejge-4329	564	23	)	)	PUNCT
ejge-4329	564	24	,	,	PUNCT
ejge-4329	564	25	191	191	NUM
ejge-4329	564	26	-	-	SYM
ejge-4329	564	27	225	225	NUM
ejge-4329	564	28	which	which	PRON
ejge-4329	564	29	holds	hold	VERB
ejge-4329	564	30	as	as	ADP
ejge-4329	564	31	in	in	ADP
ejge-4329	564	32	the	the	DET
ejge-4329	564	33	initial	initial	ADJ
ejge-4329	564	34	equilibrium	equilibrium	NOUN
ejge-4329	564	35	,	,	PUNCT
ejge-4329	564	36	the	the	DET
ejge-4329	564	37	quantity	quantity	NOUN
ejge-4329	564	38	demanded	demand	VERB
ejge-4329	564	39	equals	equal	VERB
ejge-4329	564	40	the	the	DET
ejge-4329	564	41	quantity	quantity	NOUN
ejge-4329	564	42	supplied	supply	VERB
ejge-4329	564	43	,	,	PUNCT
ejge-4329	564	44	i.e.	i.e.	X
ejge-4329	564	45	(	(	PUNCT
ejge-4329	564	46	0).=(0	0).=(0	NUM
ejge-4329	564	47	)	)	PUNCT
ejge-4329	564	48	idim	idim	NOUN
ejge-4329	564	49	ww	ww	VERB
ejge-4329	564	50	an	an	DET
ejge-4329	564	51	optimal	optimal	ADJ
ejge-4329	564	52	quantity	quantity	NOUN
ejge-4329	564	53	tax	tax	NOUN
ejge-4329	564	54	path	path	NOUN
ejge-4329	564	55	the	the	DET
ejge-4329	564	56	efficiency	efficiency	NOUN
ejge-4329	564	57	loss	loss	NOUN
ejge-4329	564	58	as	as	ADP
ejge-4329	564	59	a	a	DET
ejge-4329	564	60	result	result	NOUN
ejge-4329	564	61	of	of	ADP
ejge-4329	564	62	a	a	DET
ejge-4329	564	63	tax	tax	NOUN
ejge-4329	564	64	,	,	PUNCT
ejge-4329	564	65	generally	generally	ADV
ejge-4329	564	66	mentioned	mention	VERB
ejge-4329	564	67	in	in	ADP
ejge-4329	564	68	the	the	DET
ejge-4329	564	69	economics	economic	NOUN
ejge-4329	564	70	literature	literature	NOUN
ejge-4329	564	71	is	be	AUX
ejge-4329	564	72	the	the	DET
ejge-4329	564	73	dead	dead	ADJ
ejge-4329	564	74	weight	weight	NOUN
ejge-4329	564	75	loss	loss	NOUN
ejge-4329	564	76	as	as	ADP
ejge-4329	564	77	a	a	DET
ejge-4329	564	78	result	result	NOUN
ejge-4329	564	79	of	of	ADP
ejge-4329	564	80	comparisons	comparison	NOUN
ejge-4329	564	81	of	of	ADP
ejge-4329	564	82	the	the	DET
ejge-4329	564	83	pre	pre	NOUN
ejge-4329	564	84	and	and	CCONJ
ejge-4329	564	85	post	post	VERB
ejge-4329	564	86	tax	tax	NOUN
ejge-4329	564	87	market	market	NOUN
ejge-4329	564	88	equilibriums	equilibrium	NOUN
ejge-4329	564	89	.	.	PUNCT
ejge-4329	565	1	however	however	ADV
ejge-4329	565	2	,	,	PUNCT
ejge-4329	565	3	the	the	DET
ejge-4329	565	4	dynamic	dynamic	ADJ
ejge-4329	565	5	picture	picture	NOUN
ejge-4329	565	6	shows	show	VERB
ejge-4329	565	7	that	that	SCONJ
ejge-4329	565	8	there	there	PRON
ejge-4329	565	9	is	be	VERB
ejge-4329	565	10	some	some	DET
ejge-4329	565	11	efficiency	efficiency	NOUN
ejge-4329	565	12	loss	loss	NOUN
ejge-4329	565	13	on	on	ADP
ejge-4329	565	14	the	the	DET
ejge-4329	565	15	dynamic	dynamic	ADJ
ejge-4329	565	16	adjustment	adjustment	NOUN
ejge-4329	565	17	path	path	NOUN
ejge-4329	565	18	to	to	ADP
ejge-4329	565	19	the	the	DET
ejge-4329	565	20	new	new	ADJ
ejge-4329	565	21	equilibrium	equilibrium	NOUN
ejge-4329	565	22	as	as	ADV
ejge-4329	565	23	well	well	ADV
ejge-4329	565	24	after	after	ADP
ejge-4329	565	25	the	the	DET
ejge-4329	565	26	tax	tax	NOUN
ejge-4329	565	27	.	.	PUNCT
ejge-4329	566	1	after	after	ADP
ejge-4329	566	2	the	the	DET
ejge-4329	566	3	imposition	imposition	NOUN
ejge-4329	566	4	of	of	ADP
ejge-4329	566	5	the	the	DET
ejge-4329	566	6	tax	tax	NOUN
ejge-4329	566	7	,	,	PUNCT
ejge-4329	566	8	the	the	DET
ejge-4329	566	9	price	price	NOUN
ejge-4329	566	10	jumps	jump	VERB
ejge-4329	566	11	to	to	ADP
ejge-4329	566	12	a	a	DET
ejge-4329	566	13	price	price	NOUN
ejge-4329	566	14	equal	equal	ADJ
ejge-4329	566	15	to	to	ADP
ejge-4329	566	16	the	the	DET
ejge-4329	566	17	previous	previous	ADJ
ejge-4329	566	18	equilibrium	equilibrium	NOUN
ejge-4329	566	19	price	price	NOUN
ejge-4329	566	20	plus	plus	CCONJ
ejge-4329	566	21	the	the	DET
ejge-4329	566	22	tax	tax	NOUN
ejge-4329	566	23	.	.	PUNCT
ejge-4329	567	1	the	the	DET
ejge-4329	567	2	price	price	NOUN
ejge-4329	567	3	then	then	ADV
ejge-4329	567	4	adjusts	adjust	VERB
ejge-4329	567	5	over	over	ADP
ejge-4329	567	6	time	time	NOUN
ejge-4329	567	7	to	to	PART
ejge-4329	567	8	bring	bring	VERB
ejge-4329	567	9	the	the	DET
ejge-4329	567	10	new	new	ADJ
ejge-4329	567	11	equilibrium	equilibrium	NOUN
ejge-4329	567	12	price	price	NOUN
ejge-4329	567	13	which	which	PRON
ejge-4329	567	14	is	be	AUX
ejge-4329	567	15	higher	high	ADJ
ejge-4329	567	16	than	than	ADP
ejge-4329	567	17	the	the	DET
ejge-4329	567	18	previous	previous	ADJ
ejge-4329	567	19	equilibrium	equilibrium	NOUN
ejge-4329	567	20	price	price	NOUN
ejge-4329	567	21	and	and	CCONJ
ejge-4329	567	22	less	less	ADJ
ejge-4329	567	23	than	than	ADP
ejge-4329	567	24	the	the	DET
ejge-4329	567	25	price	price	NOUN
ejge-4329	567	26	at	at	ADP
ejge-4329	567	27	the	the	DET
ejge-4329	567	28	time	time	NOUN
ejge-4329	567	29	the	the	DET
ejge-4329	567	30	tax	tax	NOUN
ejge-4329	567	31	was	be	AUX
ejge-4329	567	32	imposed	impose	VERB
ejge-4329	567	33	depending	depend	VERB
ejge-4329	567	34	on	on	ADP
ejge-4329	567	35	the	the	DET
ejge-4329	567	36	elasticity	elasticity	NOUN
ejge-4329	567	37	of	of	ADP
ejge-4329	567	38	demand	demand	NOUN
ejge-4329	567	39	and	and	CCONJ
ejge-4329	567	40	supply	supply	NOUN
ejge-4329	567	41	schedules	schedule	NOUN
ejge-4329	567	42	.	.	PUNCT
ejge-4329	568	1	a	a	DET
ejge-4329	568	2	pile	pile	NOUN
ejge-4329	568	3	up	up	ADP
ejge-4329	568	4	of	of	ADP
ejge-4329	568	5	inventory	inventory	NOUN
ejge-4329	568	6	indicates	indicate	VERB
ejge-4329	568	7	a	a	DET
ejge-4329	568	8	higher	high	ADJ
ejge-4329	568	9	supply	supply	NOUN
ejge-4329	568	10	than	than	ADP
ejge-4329	568	11	demand	demand	NOUN
ejge-4329	568	12	,	,	PUNCT
ejge-4329	568	13	and	and	CCONJ
ejge-4329	568	14	a	a	DET
ejge-4329	568	15	depletion	depletion	NOUN
ejge-4329	568	16	of	of	ADP
ejge-4329	568	17	inventory	inventory	NOUN
ejge-4329	568	18	occurs	occur	VERB
ejge-4329	568	19	when	when	SCONJ
ejge-4329	568	20	demand	demand	NOUN
ejge-4329	568	21	is	be	AUX
ejge-4329	568	22	higher	high	ADJ
ejge-4329	568	23	than	than	ADP
ejge-4329	568	24	the	the	DET
ejge-4329	568	25	supply	supply	NOUN
ejge-4329	568	26	in	in	ADP
ejge-4329	568	27	a	a	DET
ejge-4329	568	28	given	give	VERB
ejge-4329	568	29	time	time	NOUN
ejge-4329	568	30	period	period	NOUN
ejge-4329	568	31	.	.	PUNCT
ejge-4329	569	1	when	when	SCONJ
ejge-4329	569	2	the	the	DET
ejge-4329	569	3	demand	demand	NOUN
ejge-4329	569	4	and	and	CCONJ
ejge-4329	569	5	supply	supply	NOUN
ejge-4329	569	6	are	be	AUX
ejge-4329	569	7	the	the	DET
ejge-4329	569	8	same	same	ADJ
ejge-4329	569	9	,	,	PUNCT
ejge-4329	569	10	there	there	PRON
ejge-4329	569	11	is	be	VERB
ejge-4329	569	12	no	no	DET
ejge-4329	569	13	efficiency	efficiency	NOUN
ejge-4329	569	14	loss	loss	NOUN
ejge-4329	569	15	.	.	PUNCT
ejge-4329	570	1	if	if	SCONJ
ejge-4329	570	2	the	the	DET
ejge-4329	570	3	demand	demand	NOUN
ejge-4329	570	4	and	and	CCONJ
ejge-4329	570	5	supply	supply	NOUN
ejge-4329	570	6	are	be	AUX
ejge-4329	570	7	different	different	ADJ
ejge-4329	570	8	,	,	PUNCT
ejge-4329	570	9	the	the	DET
ejge-4329	570	10	output	output	NOUN
ejge-4329	570	11	and/	and/	NOUN
ejge-4329	570	12	or	or	CCONJ
ejge-4329	570	13	consumption	consumption	NOUN
ejge-4329	570	14	is	be	AUX
ejge-4329	570	15	being	be	AUX
ejge-4329	570	16	lost	lose	VERB
ejge-4329	570	17	at	at	ADP
ejge-4329	570	18	that	that	DET
ejge-4329	570	19	point	point	NOUN
ejge-4329	570	20	in	in	ADP
ejge-4329	570	21	time	time	NOUN
ejge-4329	570	22	.	.	PUNCT
ejge-4329	571	1	therefore	therefore	ADV
ejge-4329	571	2	if	if	SCONJ
ejge-4329	571	3	we	we	PRON
ejge-4329	571	4	sum	sum	VERB
ejge-4329	571	5	up	up	ADP
ejge-4329	571	6	the	the	DET
ejge-4329	571	7	inventory	inventory	NOUN
ejge-4329	571	8	change	change	NOUN
ejge-4329	571	9	at	at	ADV
ejge-4329	571	10	all	all	DET
ejge-4329	571	11	points	point	NOUN
ejge-4329	571	12	in	in	ADP
ejge-4329	571	13	time	time	NOUN
ejge-4329	571	14	,	,	PUNCT
ejge-4329	571	15	we	we	PRON
ejge-4329	571	16	get	get	VERB
ejge-4329	571	17	the	the	DET
ejge-4329	571	18	total	total	ADJ
ejge-4329	571	19	efficiency	efficiency	NOUN
ejge-4329	571	20	loss	loss	NOUN
ejge-4329	571	21	,	,	PUNCT
ejge-4329	571	22	which	which	PRON
ejge-4329	571	23	is	be	AUX
ejge-4329	571	24	as	as	SCONJ
ejge-4329	571	25	follows	follow	VERB
ejge-4329	571	26	:	:	PUNCT
ejge-4329	571	27	.)(=	.)(=	PROPN
ejge-4329	572	1	0	0	NUM
ejge-4329	572	2	dttmel	dttmel	PROPN
ejge-4329	572	3	∫	∫	PROPN
ejge-4329	573	1	∞	∞	PROPN
ejge-4329	574	1	[	[	X
ejge-4329	574	2	62	62	NUM
ejge-4329	574	3	]	]	PUNCT
ejge-4329	574	4	from	from	ADP
ejge-4329	574	5	eq	eq	ADP
ejge-4329	574	6	.	.	PUNCT
ejge-4329	575	1	[	[	X
ejge-4329	575	2	43a	43a	NOUN
ejge-4329	575	3	]	]	PUNCT
ejge-4329	575	4	,	,	PUNCT
ejge-4329	575	5	we	we	PRON
ejge-4329	575	6	have	have	VERB
ejge-4329	575	7	.)(=	.)(=	NOUN
ejge-4329	575	8	)	)	PUNCT
ejge-4329	575	9	(	(	PUNCT
ejge-4329	575	10	jtmktp	jtmktp	ADJ
ejge-4329	575	11	m	m	VERB
ejge-4329	575	12	+	+	NOUN
ejge-4329	575	13	−	−	NOUN
ejge-4329	575	14	the	the	DET
ejge-4329	575	15	value	value	NOUN
ejge-4329	575	16	of	of	ADP
ejge-4329	575	17	j	j	PROPN
ejge-4329	575	18	can	can	AUX
ejge-4329	575	19	be	be	AUX
ejge-4329	575	20	found	find	VERB
ejge-4329	575	21	by	by	ADP
ejge-4329	575	22	imposing	impose	VERB
ejge-4329	575	23	the	the	DET
ejge-4329	575	24	initial	initial	ADJ
ejge-4329	575	25	conditions	condition	NOUN
ejge-4329	575	26	,	,	PUNCT
ejge-4329	575	27	i.e.	i.e.	X
ejge-4329	575	28	tp	tp	ADP
ejge-4329	575	29	=(	=(	NOUN
ejge-4329	575	30	0	0	NUM
ejge-4329	575	31	)	)	PUNCT
ejge-4329	575	32	,	,	PUNCT
ejge-4329	575	33	and	and	CCONJ
ejge-4329	575	34	tkm	tkm	PROPN
ejge-4329	575	35	d=(0	d=(0	PROPN
ejge-4329	575	36	)	)	PUNCT
ejge-4329	575	37	(	(	PUNCT
ejge-4329	575	38	the	the	DET
ejge-4329	575	39	decrease	decrease	NOUN
ejge-4329	575	40	in	in	ADP
ejge-4329	575	41	demand	demand	NOUN
ejge-4329	575	42	because	because	SCONJ
ejge-4329	575	43	of	of	ADP
ejge-4329	575	44	tax	tax	NOUN
ejge-4329	575	45	at	at	ADP
ejge-4329	575	46	0	0	NUM
ejge-4329	575	47	=	=	NOUN
ejge-4329	575	48	t	t	NOUN
ejge-4329	575	49	from	from	ADP
ejge-4329	575	50	eq	eq	ADP
ejge-4329	575	51	.	.	PUNCT
ejge-4329	576	1	(	(	PUNCT
ejge-4329	576	2	56	56	NUM
ejge-4329	576	3	)	)	PUNCT
ejge-4329	576	4	)	)	PUNCT
ejge-4329	576	5	,	,	PUNCT
ejge-4329	576	6	therefore	therefore	ADV
ejge-4329	576	7	.=	.=	PUNCT
ejge-4329	576	8	tkktj	tkktj	PROPN
ejge-4329	576	9	dm+	dm+	NOUN
ejge-4329	576	10	substituting	substitute	VERB
ejge-4329	576	11	the	the	DET
ejge-4329	576	12	value	value	NOUN
ejge-4329	576	13	of	of	ADP
ejge-4329	576	14	j	j	PROPN
ejge-4329	576	15	in	in	ADP
ejge-4329	576	16	eq	eq	PROPN
ejge-4329	576	17	.	.	PROPN
ejge-4329	576	18	)	)	PUNCT
ejge-4329	577	1	,	,	PUNCT
ejge-4329	577	2	(	(	PUNCT
ejge-4329	577	3	43a	43a	NOUN
ejge-4329	577	4	we	we	PRON
ejge-4329	577	5	get	get	VERB
ejge-4329	577	6	,	,	PUNCT
ejge-4329	577	7	)	)	PUNCT
ejge-4329	578	1	(=	(=	X
ejge-4329	578	2	)	)	PUNCT
ejge-4329	578	3	(	(	PUNCT
ejge-4329	578	4	tkkttmktp	tkkttmktp	VERB
ejge-4329	578	5	dmm	dmm	PROPN
ejge-4329	578	6	+	+	PROPN
ejge-4329	578	7	+	+	PROPN
ejge-4329	578	8	−	−	PROPN
ejge-4329	578	9	and	and	CCONJ
ejge-4329	578	10	eq	eq	NOUN
ejge-4329	578	11	.	.	PUNCT
ejge-4329	579	1	[	[	X
ejge-4329	579	2	62	62	NUM
ejge-4329	579	3	]	]	PUNCT
ejge-4329	579	4	can	can	AUX
ejge-4329	579	5	be	be	AUX
ejge-4329	579	6	written	write	VERB
ejge-4329	579	7	as	as	ADP
ejge-4329	579	8	[	[	PUNCT
ejge-4329	579	9	]	]	X
ejge-4329	579	10	.)(1=	.)(1=	SYM
ejge-4329	579	11	0	0	PUNCT
ejge-4329	579	12	dttkkttp	dttkkttp	PROPN
ejge-4329	579	13	k	k	PROPN
ejge-4329	579	14	el	el	PROPN
ejge-4329	580	1	dm	dm	INTJ
ejge-4329	580	2	m	m	NOUN
ejge-4329	580	3	−−−	−−−	X
ejge-4329	581	1	∫	∫	PROPN
ejge-4329	581	2	∞	∞	PROPN
ejge-4329	582	1	[	[	X
ejge-4329	582	2	62.a	62.a	NUM
ejge-4329	582	3	]	]	PUNCT
ejge-4329	582	4	in	in	ADP
ejge-4329	582	5	figure	figure	NOUN
ejge-4329	582	6	3	3	NUM
ejge-4329	582	7	,	,	PUNCT
ejge-4329	582	8	the	the	DET
ejge-4329	582	9	inventory	inventory	NOUN
ejge-4329	582	10	difference	difference	NOUN
ejge-4329	582	11	jumps	jump	VERB
ejge-4329	582	12	to	to	PART
ejge-4329	582	13	tkd	tkd	VERB
ejge-4329	582	14	,	,	PUNCT
ejge-4329	582	15	i.e.	i.e.	X
ejge-4329	582	16	the	the	DET
ejge-4329	582	17	decrease	decrease	NOUN
ejge-4329	582	18	in	in	ADP
ejge-4329	582	19	demand	demand	NOUN
ejge-4329	582	20	because	because	SCONJ
ejge-4329	582	21	of	of	ADP
ejge-4329	582	22	tax	tax	NOUN
ejge-4329	582	23	at	at	ADP
ejge-4329	582	24	0	0	NUM
ejge-4329	582	25	=	=	NOUN
ejge-4329	582	26	t	t	PROPN
ejge-4329	582	27	.	.	PUNCT
ejge-4329	583	1	the	the	DET
ejge-4329	583	2	demand	demand	NOUN
ejge-4329	583	3	does	do	AUX
ejge-4329	583	4	not	not	PART
ejge-4329	583	5	equal	equal	VERB
ejge-4329	583	6	the	the	DET
ejge-4329	583	7	supply	supply	NOUN
ejge-4329	583	8	any	any	ADV
ejge-4329	583	9	longer	long	ADV
ejge-4329	583	10	,	,	PUNCT
ejge-4329	583	11	and	and	CCONJ
ejge-4329	583	12	the	the	DET
ejge-4329	583	13	market	market	NOUN
ejge-4329	583	14	forces	force	NOUN
ejge-4329	583	15	come	come	VERB
ejge-4329	583	16	into	into	ADP
ejge-4329	583	17	play	play	NOUN
ejge-4329	583	18	.	.	PUNCT
ejge-4329	584	1	the	the	DET
ejge-4329	584	2	inventory	inventory	NOUN
ejge-4329	584	3	along	along	ADP
ejge-4329	584	4	with	with	ADP
ejge-4329	584	5	the	the	DET
ejge-4329	584	6	price	price	NOUN
ejge-4329	584	7	adjusts	adjust	VERB
ejge-4329	584	8	over	over	ADP
ejge-4329	584	9	time	time	NOUN
ejge-4329	584	10	and	and	CCONJ
ejge-4329	584	11	arrives	arrive	VERB
ejge-4329	584	12	at	at	ADP
ejge-4329	584	13	the	the	DET
ejge-4329	584	14	new	new	ADJ
ejge-4329	584	15	equilibrium	equilibrium	NOUN
ejge-4329	584	16	,	,	PUNCT
ejge-4329	584	17	i.e.	i.e.	X
ejge-4329	584	18	)	)	PUNCT
ejge-4329	584	19	.(∞m	.(∞m	NOUN
ejge-4329	584	20	the	the	DET
ejge-4329	584	21	shaded	shaded	ADJ
ejge-4329	584	22	area	area	NOUN
ejge-4329	584	23	is	be	AUX
ejge-4329	584	24	the	the	DET
ejge-4329	584	25	efficiency	efficiency	NOUN
ejge-4329	584	26	loss	loss	NOUN
ejge-4329	584	27	(	(	PUNCT
ejge-4329	584	28	the	the	DET
ejge-4329	584	29	amount	amount	NOUN
ejge-4329	584	30	of	of	ADP
ejge-4329	584	31	output	output	NOUN
ejge-4329	584	32	and/	and/	NOUN
ejge-4329	584	33	or	or	CCONJ
ejge-4329	584	34	consumption	consumption	NOUN
ejge-4329	584	35	lost	lose	VERB
ejge-4329	584	36	)	)	PUNCT
ejge-4329	585	1	223	223	NUM
ejge-4329	585	2	n.	n.	NOUN
ejge-4329	585	3	nawaz	nawaz	ADJ
ejge-4329	585	4	/	/	SYM
ejge-4329	585	5	european	european	ADJ
ejge-4329	585	6	journal	journal	PROPN
ejge-4329	585	7	of	of	ADP
ejge-4329	585	8	government	government	NOUN
ejge-4329	585	9	and	and	CCONJ
ejge-4329	585	10	economics	economic	NOUN
ejge-4329	585	11	6(2	6(2	NUM
ejge-4329	585	12	)	)	PUNCT
ejge-4329	585	13	,	,	PUNCT
ejge-4329	585	14	191	191	NUM
ejge-4329	585	15	-	-	SYM
ejge-4329	585	16	225	225	NUM
ejge-4329	585	17	during	during	ADP
ejge-4329	585	18	the	the	DET
ejge-4329	585	19	adjustment	adjustment	NOUN
ejge-4329	585	20	process	process	NOUN
ejge-4329	585	21	.	.	PUNCT
ejge-4329	586	1	the	the	DET
ejge-4329	586	2	area	area	NOUN
ejge-4329	586	3	between	between	ADP
ejge-4329	586	4	the	the	DET
ejge-4329	586	5	lines	line	NOUN
ejge-4329	586	6	0,=)(tm	0,=)(tm	NOUN
ejge-4329	586	7	and	and	CCONJ
ejge-4329	586	8	)	)	PUNCT
ejge-4329	586	9	(	(	PUNCT
ejge-4329	586	10	=)	=)	PROPN
ejge-4329	586	11	(	(	PUNCT
ejge-4329	586	12	∞mtm	∞mtm	PROPN
ejge-4329	586	13	is	be	AUX
ejge-4329	586	14	the	the	DET
ejge-4329	586	15	efficiency	efficiency	NOUN
ejge-4329	586	16	loss	loss	NOUN
ejge-4329	586	17	resulting	result	VERB
ejge-4329	586	18	from	from	ADP
ejge-4329	586	19	a	a	DET
ejge-4329	586	20	difference	difference	NOUN
ejge-4329	586	21	in	in	ADP
ejge-4329	586	22	pre	pre	NOUN
ejge-4329	586	23	and	and	CCONJ
ejge-4329	586	24	post	post	VERB
ejge-4329	586	25	tax	tax	NOUN
ejge-4329	586	26	market	market	NOUN
ejge-4329	586	27	equilibriums	equilibrium	NOUN
ejge-4329	586	28	.	.	PUNCT
ejge-4329	587	1	from	from	ADP
ejge-4329	587	2	eq	eq	ADP
ejge-4329	587	3	.	.	PUNCT
ejge-4329	588	1	[	[	X
ejge-4329	588	2	56	56	NUM
ejge-4329	588	3	]	]	PUNCT
ejge-4329	588	4	,	,	PUNCT
ejge-4329	588	5	the	the	DET
ejge-4329	588	6	change	change	NOUN
ejge-4329	588	7	in	in	ADP
ejge-4329	588	8	demand	demand	NOUN
ejge-4329	588	9	due	due	ADP
ejge-4329	588	10	to	to	ADP
ejge-4329	588	11	a	a	DET
ejge-4329	588	12	change	change	NOUN
ejge-4329	588	13	in	in	ADP
ejge-4329	588	14	price	price	NOUN
ejge-4329	588	15	after	after	SCONJ
ejge-4329	588	16	the	the	DET
ejge-4329	588	17	tax	tax	NOUN
ejge-4329	588	18	is	be	AUX
ejge-4329	588	19	as	as	SCONJ
ejge-4329	588	20	follows	follow	VERB
ejge-4329	588	21	:	:	PUNCT
ejge-4329	588	22	)	)	PUNCT
ejge-4329	588	23	,	,	PUNCT
ejge-4329	588	24	(=	(=	NOUN
ejge-4329	588	25	)	)	PUNCT
ejge-4329	588	26	(	(	PUNCT
ejge-4329	588	27	tpktw	tpktw	VERB
ejge-4329	588	28	dd	dd	VERB
ejge-4329	588	29	−	−	PROPN
ejge-4329	588	30	)	)	PUNCT
ejge-4329	588	31	,	,	PUNCT
ejge-4329	588	32	(=	(=	X
ejge-4329	588	33	(	(	PUNCT
ejge-4329	588	34	0))(or	0))(or	PROPN
ejge-4329	588	35	tpkwtw	tpkwtw	PROPN
ejge-4329	588	36	didnd	didnd	NOUN
ejge-4329	588	37	−−	−−	NOUN
ejge-4329	588	38	where	where	SCONJ
ejge-4329	588	39	(	(	PUNCT
ejge-4329	588	40	0)idw	0)idw	NOUN
ejge-4329	588	41	is	be	AUX
ejge-4329	588	42	the	the	DET
ejge-4329	588	43	initial	initial	ADJ
ejge-4329	588	44	demand	demand	NOUN
ejge-4329	588	45	and	and	CCONJ
ejge-4329	588	46	)	)	PUNCT
ejge-4329	588	47	(	(	PUNCT
ejge-4329	588	48	twnd	twnd	NOUN
ejge-4329	588	49	is	be	AUX
ejge-4329	588	50	the	the	DET
ejge-4329	588	51	new	new	ADJ
ejge-4329	588	52	demand	demand	NOUN
ejge-4329	588	53	after	after	ADP
ejge-4329	588	54	tax	tax	NOUN
ejge-4329	588	55	,	,	PUNCT
ejge-4329	588	56	because	because	SCONJ
ejge-4329	588	57	)	)	PUNCT
ejge-4329	588	58	(	(	PUNCT
ejge-4329	588	59	twd	twd	PROPN
ejge-4329	588	60	is	be	AUX
ejge-4329	588	61	a	a	DET
ejge-4329	588	62	deviation	deviation	NOUN
ejge-4329	588	63	variable	variable	ADJ
ejge-4329	588	64	,	,	PUNCT
ejge-4329	588	65	i.e.	i.e.	X
ejge-4329	588	66	deviation	deviation	NOUN
ejge-4329	588	67	from	from	ADP
ejge-4329	588	68	the	the	DET
ejge-4329	588	69	initial	initial	ADJ
ejge-4329	588	70	equilibrium	equilibrium	NOUN
ejge-4329	588	71	value	value	NOUN
ejge-4329	588	72	.	.	PUNCT
ejge-4329	589	1	therefore	therefore	ADV
ejge-4329	589	2	the	the	DET
ejge-4329	589	3	expression	expression	NOUN
ejge-4329	589	4	for	for	ADP
ejge-4329	589	5	the	the	DET
ejge-4329	589	6	tax	tax	NOUN
ejge-4329	589	7	revenue	revenue	NOUN
ejge-4329	589	8	is	be	AUX
ejge-4329	589	9	as	as	SCONJ
ejge-4329	589	10	follows	follow	VERB
ejge-4329	589	11	:	:	PUNCT
ejge-4329	589	12	[	[	PUNCT
ejge-4329	589	13	]	]	X
ejge-4329	589	14	.)((0)=	.)((0)=	X
ejge-4329	590	1	tpkwttr	tpkwttr	NOUN
ejge-4329	590	2	did	do	VERB
ejge-4329	590	3	−	−	NOUN
ejge-4329	591	1	[	[	X
ejge-4329	591	2	63	63	NUM
ejge-4329	591	3	]	]	PUNCT
ejge-4329	591	4	if	if	SCONJ
ejge-4329	591	5	we	we	PRON
ejge-4329	591	6	want	want	VERB
ejge-4329	591	7	to	to	PART
ejge-4329	591	8	minimize	minimize	VERB
ejge-4329	591	9	the	the	DET
ejge-4329	591	10	efficiency	efficiency	NOUN
ejge-4329	591	11	loss	loss	NOUN
ejge-4329	591	12	subject	subject	ADJ
ejge-4329	591	13	to	to	ADP
ejge-4329	591	14	the	the	DET
ejge-4329	591	15	constraint	constraint	NOUN
ejge-4329	591	16	that	that	PRON
ejge-4329	591	17	tax	tax	NOUN
ejge-4329	591	18	revenue	revenue	NOUN
ejge-4329	591	19	generated	generate	VERB
ejge-4329	591	20	is	be	AUX
ejge-4329	591	21	greater	great	ADJ
ejge-4329	591	22	than	than	ADP
ejge-4329	591	23	or	or	CCONJ
ejge-4329	591	24	equal	equal	ADJ
ejge-4329	591	25	to	to	ADP
ejge-4329	591	26	g	g	NOUN
ejge-4329	591	27	in	in	ADP
ejge-4329	591	28	a	a	DET
ejge-4329	591	29	given	give	VERB
ejge-4329	591	30	time	time	NOUN
ejge-4329	591	31	period	period	NOUN
ejge-4329	591	32	,	,	PUNCT
ejge-4329	591	33	our	our	PRON
ejge-4329	591	34	problem	problem	NOUN
ejge-4329	591	35	is	be	AUX
ejge-4329	591	36	as	as	SCONJ
ejge-4329	591	37	follows	follow	VERB
ejge-4329	591	38	:	:	PUNCT
ejge-4329	591	39	.s.t.min	.s.t.min	PROPN
ejge-4329	591	40	gtrel	gtrel	PROPN
ejge-4329	591	41	t	t	PROPN
ejge-4329	591	42	≥	≥	NUM
ejge-4329	591	43	the	the	DET
ejge-4329	591	44	choice	choice	NOUN
ejge-4329	591	45	variable	variable	NOUN
ejge-4329	591	46	is	be	AUX
ejge-4329	591	47	the	the	DET
ejge-4329	591	48	tax	tax	NOUN
ejge-4329	591	49	rate	rate	NOUN
ejge-4329	591	50	,	,	PUNCT
ejge-4329	591	51	and	and	CCONJ
ejge-4329	591	52	the	the	DET
ejge-4329	591	53	constraint	constraint	NOUN
ejge-4329	591	54	is	be	AUX
ejge-4329	591	55	binding	bind	VERB
ejge-4329	591	56	.	.	PUNCT
ejge-4329	592	1	the	the	DET
ejge-4329	592	2	lagrangian	lagrangian	NOUN
ejge-4329	592	3	for	for	ADP
ejge-4329	592	4	the	the	DET
ejge-4329	592	5	above	above	ADJ
ejge-4329	592	6	problem	problem	NOUN
ejge-4329	592	7	is	be	AUX
ejge-4329	592	8	as	as	SCONJ
ejge-4329	592	9	follows	follow	VERB
ejge-4329	592	10	:	:	PUNCT
ejge-4329	592	11	[	[	PUNCT
ejge-4329	592	12	]	]	X
ejge-4329	592	13	[	[	PUNCT
ejge-4329	592	14	]	]	X
ejge-4329	592	15	[	[	PUNCT
ejge-4329	592	16	]	]	X
ejge-4329	592	17	)	)	PUNCT
ejge-4329	592	18	(	(	PUNCT
ejge-4329	592	19	(	(	PUNCT
ejge-4329	592	20	0))(1=	0))(1=	X
ejge-4329	592	21	0	0	NUM
ejge-4329	592	22	tpkwtgdttkkttp	tpkwtgdttkkttp	PROPN
ejge-4329	592	23	k	k	PROPN
ejge-4329	592	24	diddm	diddm	PROPN
ejge-4329	592	25	m	m	PROPN
ejge-4329	593	1	−−+−−−	−−+−−−	PROPN
ejge-4329	593	2	∫	∫	PROPN
ejge-4329	594	1	∞	∞	NUM
ejge-4329	594	2	λl	λl	X
ejge-4329	594	3	[	[	PUNCT
ejge-4329	594	4	]	]	X
ejge-4329	594	5	dttk	dttk	PROPN
ejge-4329	595	1	k	k	PROPN
ejge-4329	595	2	te	te	PROPN
ejge-4329	595	3	kkk	kkk	PROPN
ejge-4329	595	4	tk	tk	PROPN
ejge-4329	596	1	kkk	kkk	NOUN
ejge-4329	596	2	tk	tk	PROPN
ejge-4329	597	1	d	d	NOUN
ejge-4329	597	2	m	m	PROPN
ejge-4329	597	3	tdkskmk	tdkskmk	NOUN
ejge-4329	597	4	dsm	dsm	PROPN
ejge-4329	597	5	d	d	PROPN
ejge-4329	597	6	dsm	dsm	PROPN
ejge-4329	597	7	s	s	PART
ejge-4329	597	8			PROPN
ejge-4329	597	9			PROPN
ejge-4329	597	10			PROPN
ejge-4329	597	11			ADJ
ejge-4329	597	12			NOUN
ejge-4329	597	13			NOUN
ejge-4329	597	14	+	+	PROPN
ejge-4329	597	15	+	+	PROPN
ejge-4329	597	16	+	+	NUM
ejge-4329	597	17	−	−	PROPN
ejge-4329	598	1	+	+	CCONJ
ejge-4329	599	1	−	−	PROPN
ejge-4329	599	2	+	+	NOUN
ejge-4329	599	3	−	−	PROPN
ejge-4329	599	4	∞	∞	NUM
ejge-4329	599	5	∫	∫	PROPN
ejge-4329	599	6	)	)	PUNCT
ejge-4329	599	7	(	(	PUNCT
ejge-4329	599	8	0	0	NUM
ejge-4329	599	9	)	)	PUNCT
ejge-4329	599	10	(	(	PUNCT
ejge-4329	599	11	)	)	PUNCT
ejge-4329	599	12	(	(	PUNCT
ejge-4329	599	13	=	=	PUNCT
ejge-4329	599	14	[	[	PUNCT
ejge-4329	599	15	]	]	X
ejge-4329	599	16	.(0	.(0	NUM
ejge-4329	599	17	)	)	PUNCT
ejge-4329	599	18	)	)	PUNCT
ejge-4329	600	1	(	(	PUNCT
ejge-4329	600	2			PROPN
ejge-4329	600	3			PROPN
ejge-4329	600	4			PROPN
ejge-4329	600	5			PROPN
ejge-4329	600	6			ADJ
ejge-4329	600	7			ADJ
ejge-4329	600	8			NUM
ejge-4329	600	9			VERB
ejge-4329	600	10			PROPN
ejge-4329	600	11			PROPN
ejge-4329	600	12			PROPN
ejge-4329	600	13			ADJ
ejge-4329	600	14			NUM
ejge-4329	600	15			PROPN
ejge-4329	600	16			NOUN
ejge-4329	600	17			PROPN
ejge-4329	600	18			PROPN
ejge-4329	600	19			NOUN
ejge-4329	600	20			PRON
ejge-4329	600	21			PROPN
ejge-4329	600	22	+	+	PROPN
ejge-4329	601	1	+	+	PUNCT
ejge-4329	602	1	+	+	CCONJ
ejge-4329	602	2	−−+	−−+	PROPN
ejge-4329	602	3	+	+	ADJ
ejge-4329	602	4	−	−	PROPN
ejge-4329	602	5	tdkskmk	tdkskmk	NOUN
ejge-4329	602	6	ds	ds	PRON
ejge-4329	602	7	d	d	NOUN
ejge-4329	602	8	ds	ds	NOUN
ejge-4329	602	9	s	s	X
ejge-4329	602	10	did	do	AUX
ejge-4329	602	11	e	e	X
ejge-4329	602	12	kk	kk	PROPN
ejge-4329	602	13	tk	tk	PROPN
ejge-4329	602	14	kk	kk	PROPN
ejge-4329	602	15	tkkwtgλ	tkkwtgλ	NOUN
ejge-4329	602	16	taking	take	VERB
ejge-4329	602	17	the	the	DET
ejge-4329	602	18	first	first	ADJ
ejge-4329	602	19	order	order	NOUN
ejge-4329	602	20	condition	condition	NOUN
ejge-4329	602	21	with	with	ADP
ejge-4329	602	22	respect	respect	NOUN
ejge-4329	602	23	to	to	ADP
ejge-4329	602	24	t	t	PROPN
ejge-4329	602	25	,	,	PUNCT
ejge-4329	602	26	we	we	PRON
ejge-4329	602	27	get	get	VERB
ejge-4329	602	28	:	:	PUNCT
ejge-4329	602	29	[	[	PUNCT
ejge-4329	602	30	]	]	X
ejge-4329	602	31	dtk	dtk	PROPN
ejge-4329	602	32	k	k	PROPN
ejge-4329	602	33	e	e	PROPN
ejge-4329	602	34	kkk	kkk	PROPN
ejge-4329	602	35	k	k	PROPN
ejge-4329	603	1	kkk	kkk	PROPN
ejge-4329	603	2	k	k	PROPN
ejge-4329	604	1	d	d	PROPN
ejge-4329	604	2	m	m	VERB
ejge-4329	604	3	tdkskmk	tdkskmk	NOUN
ejge-4329	604	4	dsm	dsm	PROPN
ejge-4329	604	5	d	d	PROPN
ejge-4329	604	6	dsm	dsm	PROPN
ejge-4329	604	7	s	s	PART
ejge-4329	604	8			PROPN
ejge-4329	604	9			PROPN
ejge-4329	604	10			PROPN
ejge-4329	604	11			ADJ
ejge-4329	604	12			NOUN
ejge-4329	604	13			NOUN
ejge-4329	604	14	+	+	PROPN
ejge-4329	604	15	+	+	PROPN
ejge-4329	604	16	+	+	NUM
ejge-4329	604	17	−	−	PROPN
ejge-4329	605	1	+	+	CCONJ
ejge-4329	606	1	−	−	PROPN
ejge-4329	607	1	+	+	NOUN
ejge-4329	607	2	−	−	NOUN
ejge-4329	607	3	∞	∞	NUM
ejge-4329	607	4	∫	∫	PROPN
ejge-4329	607	5	1	1	NUM
ejge-4329	607	6	)	)	PUNCT
ejge-4329	607	7	(	(	PUNCT
ejge-4329	607	8	)	)	PUNCT
ejge-4329	607	9	(	(	PUNCT
ejge-4329	607	10	)	)	PUNCT
ejge-4329	607	11	(	(	PUNCT
ejge-4329	607	12	0	0	NUM
ejge-4329	607	13	[	[	PUNCT
ejge-4329	607	14	]	]	X
ejge-4329	607	15			PROPN
ejge-4329	607	16			PROPN
ejge-4329	607	17			PROPN
ejge-4329	607	18			ADJ
ejge-4329	607	19			NUM
ejge-4329	607	20			PROPN
ejge-4329	607	21			NOUN
ejge-4329	607	22			PROPN
ejge-4329	607	23			PROPN
ejge-4329	607	24			NOUN
ejge-4329	607	25			PRON
ejge-4329	607	26			PROPN
ejge-4329	607	27	+	+	PROPN
ejge-4329	608	1	+	+	PUNCT
ejge-4329	609	1	+	+	ADJ
ejge-4329	609	2	−−	−−	NOUN
ejge-4329	609	3	+	+	NOUN
ejge-4329	609	4	−	−	PROPN
ejge-4329	609	5	tdkskmk	tdkskmk	NOUN
ejge-4329	609	6	ds	ds	PRON
ejge-4329	609	7	d	d	NOUN
ejge-4329	609	8	ds	ds	NOUN
ejge-4329	609	9	s	s	X
ejge-4329	609	10	did	do	VERB
ejge-4329	609	11	e	e	X
ejge-4329	609	12	kk	kk	PROPN
ejge-4329	609	13	k	k	PROPN
ejge-4329	609	14	kk	kk	PROPN
ejge-4329	609	15	ktkw	ktkw	PROPN
ejge-4329	609	16	)	)	PUNCT
ejge-4329	609	17	(	(	PUNCT
ejge-4329	609	18	(	(	PUNCT
ejge-4329	609	19	0)λ	0)λ	NOUN
ejge-4329	609	20	[	[	X
ejge-4329	609	21	]	]	X
ejge-4329	609	22	0.=	0.=	NOUN
ejge-4329	609	23	)	)	PUNCT
ejge-4329	609	24	(	(	PUNCT
ejge-4329	609	25			PROPN
ejge-4329	609	26			PROPN
ejge-4329	609	27			PROPN
ejge-4329	609	28			ADJ
ejge-4329	609	29			NUM
ejge-4329	609	30			NOUN
ejge-4329	609	31	+	+	X
ejge-4329	610	1	+	+	PUNCT
ejge-4329	611	1	+	+	PUNCT
ejge-4329	612	1	+	+	NUM
ejge-4329	612	2	+	+	ADJ
ejge-4329	612	3	−	−	NOUN
ejge-4329	612	4	tdkskmk	tdkskmk	NOUN
ejge-4329	612	5	ds	ds	PRON
ejge-4329	612	6	d	d	NOUN
ejge-4329	612	7	ds	ds	NOUN
ejge-4329	612	8	s	s	X
ejge-4329	612	9	d	d	X
ejge-4329	612	10	e	e	X
ejge-4329	612	11	kk	kk	PROPN
ejge-4329	612	12	k	k	PROPN
ejge-4329	612	13	kk	kk	PROPN
ejge-4329	612	14	ktkλ	ktkλ	VERB
ejge-4329	612	15	224	224	NUM
ejge-4329	612	16	n.	n.	NOUN
ejge-4329	612	17	nawaz	nawaz	ADJ
ejge-4329	612	18	/	/	SYM
ejge-4329	612	19	european	european	ADJ
ejge-4329	612	20	journal	journal	PROPN
ejge-4329	612	21	of	of	ADP
ejge-4329	612	22	government	government	NOUN
ejge-4329	612	23	and	and	CCONJ
ejge-4329	612	24	economics	economic	NOUN
ejge-4329	612	25	6(2	6(2	NUM
ejge-4329	612	26	)	)	PUNCT
ejge-4329	612	27	,	,	PUNCT
ejge-4329	612	28	191	191	NUM
ejge-4329	612	29	-	-	SYM
ejge-4329	612	30	225	225	NUM
ejge-4329	612	31	this	this	PRON
ejge-4329	612	32	implies	imply	VERB
ejge-4329	612	33	[	[	PUNCT
ejge-4329	612	34	]	]	X
ejge-4329	613	1	dte	dte	PROPN
ejge-4329	613	2	kkk	kkk	PROPN
ejge-4329	613	3	k	k	PROPN
ejge-4329	614	1	kkk	kkk	PROPN
ejge-4329	614	2	k	k	PROPN
ejge-4329	615	1	k	k	PROPN
ejge-4329	615	2	k	k	PROPN
ejge-4329	615	3	tdkskmk	tdkskmk	PROPN
ejge-4329	615	4	dsm	dsm	PROPN
ejge-4329	615	5	d	d	X
ejge-4329	615	6	dsm	dsm	PROPN
ejge-4329	615	7	s	s	PART
ejge-4329	615	8	m	m	NOUN
ejge-4329	615	9	d	d	X
ejge-4329	615	10			PROPN
ejge-4329	615	11			PROPN
ejge-4329	615	12			PROPN
ejge-4329	615	13			ADJ
ejge-4329	615	14			NUM
ejge-4329	615	15			NOUN
ejge-4329	615	16	+	+	CCONJ
ejge-4329	615	17	−	−	PROPN
ejge-4329	616	1	+	+	CCONJ
ejge-4329	616	2	−+	−+	PROPN
ejge-4329	616	3	+	+	NOUN
ejge-4329	616	4	−	−	PROPN
ejge-4329	616	5	∞	∞	NUM
ejge-4329	616	6	∫	∫	PROPN
ejge-4329	616	7	)	)	PUNCT
ejge-4329	616	8	(	(	PUNCT
ejge-4329	616	9	0	0	NUM
ejge-4329	616	10	)	)	PUNCT
ejge-4329	616	11	(	(	PUNCT
ejge-4329	616	12	)	)	PUNCT
ejge-4329	616	13	(	(	PUNCT
ejge-4329	616	14	1	1	NUM
ejge-4329	616	15	[	[	PUNCT
ejge-4329	616	16	]	]	X
ejge-4329	616	17			PROPN
ejge-4329	616	18			PROPN
ejge-4329	616	19			PROPN
ejge-4329	616	20			ADJ
ejge-4329	616	21			NUM
ejge-4329	616	22			NOUN
ejge-4329	616	23	+	+	X
ejge-4329	617	1	+	+	PUNCT
ejge-4329	618	1	+	+	PUNCT
ejge-4329	619	1	+	+	NUM
ejge-4329	619	2	+	+	ADJ
ejge-4329	619	3	−	−	NOUN
ejge-4329	619	4	tdkskmk	tdkskmk	NOUN
ejge-4329	619	5	ds	ds	PRON
ejge-4329	619	6	d	d	NOUN
ejge-4329	619	7	ds	ds	NOUN
ejge-4329	619	8	s	s	X
ejge-4329	619	9	d	d	X
ejge-4329	619	10	e	e	X
ejge-4329	619	11	kk	kk	PROPN
ejge-4329	619	12	k	k	PROPN
ejge-4329	619	13	kk	kk	PROPN
ejge-4329	619	14	ktk	ktk	PROPN
ejge-4329	619	15	)	)	PUNCT
ejge-4329	619	16	(	(	PUNCT
ejge-4329	619	17	2λ	2λ	X
ejge-4329	619	18	(	(	PUNCT
ejge-4329	619	19	0),=	0),=	NUM
ejge-4329	619	20	idwλ	idwλ	NOUN
ejge-4329	619	21	or	or	CCONJ
ejge-4329	619	22	[	[	PUNCT
ejge-4329	619	23	]	]	X
ejge-4329	619	24	[	[	PUNCT
ejge-4329	619	25	]	]	X
ejge-4329	619	26	.	.	PUNCT
ejge-4329	619	27	2	2	X
ejge-4329	619	28	)	)	PUNCT
ejge-4329	619	29	(	(	PUNCT
ejge-4329	619	30	)	)	PUNCT
ejge-4329	619	31	(	(	PUNCT
ejge-4329	619	32	1(0	1(0	NUM
ejge-4329	619	33	)	)	PUNCT
ejge-4329	619	34	=	=	PUNCT
ejge-4329	619	35	)	)	PUNCT
ejge-4329	619	36	(	(	PUNCT
ejge-4329	619	37	)	)	PUNCT
ejge-4329	619	38	(	(	PUNCT
ejge-4329	619	39	0	0	NUM
ejge-4329	619	40			PROPN
ejge-4329	619	41			PROPN
ejge-4329	619	42			PROPN
ejge-4329	619	43			ADJ
ejge-4329	619	44			NUM
ejge-4329	619	45			NOUN
ejge-4329	619	46	+	+	X
ejge-4329	620	1	+	+	PUNCT
ejge-4329	621	1	+	+	CCONJ
ejge-4329	621	2			PROPN
ejge-4329	621	3			PROPN
ejge-4329	621	4			PROPN
ejge-4329	621	5			ADJ
ejge-4329	621	6			NUM
ejge-4329	621	7			NOUN
ejge-4329	621	8	+	+	CCONJ
ejge-4329	621	9	−	−	PROPN
ejge-4329	621	10	+	+	CCONJ
ejge-4329	621	11	−+−	−+−	PROPN
ejge-4329	621	12	+	+	ADP
ejge-4329	621	13	−	−	PROPN
ejge-4329	621	14	+	+	NOUN
ejge-4329	621	15	−	−	PROPN
ejge-4329	621	16	∞	∞	NUM
ejge-4329	621	17	∫	∫	NOUN
ejge-4329	621	18	tdkskmk	tdkskmk	NOUN
ejge-4329	621	19	ds	ds	PRON
ejge-4329	621	20	d	d	NOUN
ejge-4329	621	21	ds	ds	PROPN
ejge-4329	621	22	s	s	NOUN
ejge-4329	621	23	d	d	NOUN
ejge-4329	621	24	tdkskmk	tdkskmk	NOUN
ejge-4329	621	25	dsm	dsm	PROPN
ejge-4329	621	26	d	d	X
ejge-4329	621	27	dsm	dsm	PROPN
ejge-4329	621	28	s	s	PART
ejge-4329	621	29	m	m	VERB
ejge-4329	621	30	did	do	AUX
ejge-4329	621	31	e	e	X
ejge-4329	621	32	kk	kk	PROPN
ejge-4329	621	33	k	k	PROPN
ejge-4329	621	34	kk	kk	PROPN
ejge-4329	621	35	kk	kk	PROPN
ejge-4329	621	36	dte	dte	PROPN
ejge-4329	622	1	kkk	kkk	PROPN
ejge-4329	622	2	k	k	PROPN
ejge-4329	623	1	kkk	kkk	PROPN
ejge-4329	623	2	k	k	PROPN
ejge-4329	624	1	k	k	PROPN
ejge-4329	624	2	kw	kw	INTJ
ejge-4329	624	3	t	t	PROPN
ejge-4329	624	4	λ	λ	X
ejge-4329	624	5	λ	λ	X
ejge-4329	625	1	[	[	X
ejge-4329	625	2	64	64	NUM
ejge-4329	625	3	]	]	PUNCT
ejge-4329	625	4	taking	take	VERB
ejge-4329	625	5	the	the	DET
ejge-4329	625	6	first	first	ADJ
ejge-4329	625	7	order	order	NOUN
ejge-4329	625	8	condition	condition	NOUN
ejge-4329	625	9	with	with	ADP
ejge-4329	625	10	respect	respect	NOUN
ejge-4329	625	11	to	to	ADP
ejge-4329	625	12	λ	λ	PROPN
ejge-4329	625	13	,	,	PUNCT
ejge-4329	625	14	we	we	PRON
ejge-4329	625	15	get	get	VERB
ejge-4329	625	16	:	:	PUNCT
ejge-4329	625	17	[	[	PUNCT
ejge-4329	625	18	]	]	X
ejge-4329	625	19	0.=(0	0.=(0	NOUN
ejge-4329	625	20	)	)	PUNCT
ejge-4329	625	21	)	)	PUNCT
ejge-4329	626	1	(	(	PUNCT
ejge-4329	626	2			PROPN
ejge-4329	626	3			PROPN
ejge-4329	626	4			PROPN
ejge-4329	626	5			ADJ
ejge-4329	626	6			NUM
ejge-4329	626	7			PROPN
ejge-4329	626	8			NOUN
ejge-4329	626	9			PROPN
ejge-4329	626	10			PROPN
ejge-4329	626	11			NOUN
ejge-4329	626	12			PRON
ejge-4329	626	13			PROPN
ejge-4329	626	14	+	+	PROPN
ejge-4329	626	15	+	+	PUNCT
ejge-4329	627	1	+	+	ADJ
ejge-4329	627	2	−−	−−	NOUN
ejge-4329	627	3	+	+	NOUN
ejge-4329	627	4	−	−	PROPN
ejge-4329	627	5	tdkskmk	tdkskmk	NOUN
ejge-4329	627	6	ds	ds	PRON
ejge-4329	627	7	d	d	NOUN
ejge-4329	627	8	ds	ds	NOUN
ejge-4329	627	9	s	s	X
ejge-4329	627	10	did	do	VERB
ejge-4329	627	11	e	e	X
ejge-4329	627	12	kk	kk	PROPN
ejge-4329	627	13	tk	tk	PROPN
ejge-4329	628	1	kk	kk	INTJ
ejge-4329	628	2	tkkwtg	tkkwtg	PROPN
ejge-4329	629	1	[	[	X
ejge-4329	629	2	65	65	NUM
ejge-4329	629	3	]	]	AUX
ejge-4329	629	4	substituting	substitute	VERB
ejge-4329	629	5	the	the	DET
ejge-4329	629	6	value	value	NOUN
ejge-4329	629	7	of	of	ADP
ejge-4329	629	8	t	t	PROPN
ejge-4329	629	9	from	from	ADP
ejge-4329	629	10	eq	eq	ADP
ejge-4329	629	11	.	.	PUNCT
ejge-4329	630	1	[	[	X
ejge-4329	630	2	64	64	NUM
ejge-4329	630	3	]	]	PUNCT
ejge-4329	630	4	into	into	ADP
ejge-4329	630	5	[	[	X
ejge-4329	630	6	65	65	NUM
ejge-4329	630	7	]	]	PUNCT
ejge-4329	630	8	,	,	PUNCT
ejge-4329	630	9	[	[	PUNCT
ejge-4329	630	10	]	]	X
ejge-4329	630	11	[	[	PUNCT
ejge-4329	630	12	]	]	X
ejge-4329	630	13			PROPN
ejge-4329	630	14			PROPN
ejge-4329	630	15			PROPN
ejge-4329	630	16			ADJ
ejge-4329	630	17			NUM
ejge-4329	630	18			NOUN
ejge-4329	630	19	+	+	X
ejge-4329	631	1	+	+	PUNCT
ejge-4329	632	1	+	+	CCONJ
ejge-4329	632	2			PROPN
ejge-4329	632	3			PROPN
ejge-4329	632	4			PROPN
ejge-4329	632	5			ADJ
ejge-4329	632	6			NUM
ejge-4329	632	7			NOUN
ejge-4329	632	8	+	+	CCONJ
ejge-4329	632	9	−	−	PROPN
ejge-4329	632	10	+	+	CCONJ
ejge-4329	632	11	−+−	−+−	PROPN
ejge-4329	632	12	+	+	ADP
ejge-4329	632	13	−	−	PROPN
ejge-4329	632	14	+	+	NOUN
ejge-4329	632	15	−	−	PROPN
ejge-4329	632	16	∞	∞	NUM
ejge-4329	632	17	∫	∫	NOUN
ejge-4329	632	18	tdkskmk	tdkskmk	NOUN
ejge-4329	632	19	ds	ds	PRON
ejge-4329	632	20	d	d	NOUN
ejge-4329	632	21	ds	ds	PROPN
ejge-4329	632	22	s	s	NOUN
ejge-4329	632	23	d	d	NOUN
ejge-4329	632	24	tdkskmk	tdkskmk	NOUN
ejge-4329	632	25	dsm	dsm	PROPN
ejge-4329	632	26	d	d	X
ejge-4329	632	27	dsm	dsm	PROPN
ejge-4329	632	28	s	s	PART
ejge-4329	632	29	m	m	VERB
ejge-4329	632	30	did	do	VERB
ejge-4329	632	31	i	i	NOUN
ejge-4329	632	32	d	d	PROPN
ejge-4329	632	33	e	e	PROPN
ejge-4329	632	34	kk	kk	PROPN
ejge-4329	632	35	k	k	PROPN
ejge-4329	632	36	kk	kk	PROPN
ejge-4329	632	37	kk	kk	PROPN
ejge-4329	632	38	dte	dte	PROPN
ejge-4329	633	1	kkk	kkk	PROPN
ejge-4329	633	2	k	k	PROPN
ejge-4329	634	1	kkk	kkk	PROPN
ejge-4329	634	2	k	k	PROPN
ejge-4329	635	1	k	k	INTJ
ejge-4329	635	2	kw	kw	INTJ
ejge-4329	635	3	wg	wg	PROPN
ejge-4329	635	4	)	)	PUNCT
ejge-4329	635	5	(	(	PUNCT
ejge-4329	635	6	)	)	PUNCT
ejge-4329	635	7	(	(	PUNCT
ejge-4329	635	8	0	0	NUM
ejge-4329	635	9	2	2	NUM
ejge-4329	635	10	)	)	PUNCT
ejge-4329	635	11	(	(	PUNCT
ejge-4329	635	12	)	)	PUNCT
ejge-4329	635	13	(	(	PUNCT
ejge-4329	635	14	1(0	1(0	NUM
ejge-4329	635	15	)	)	PUNCT
ejge-4329	635	16	(	(	PUNCT
ejge-4329	635	17	0).=	0).=	X
ejge-4329	635	18	λ	λ	X
ejge-4329	635	19	λ	λ	X
ejge-4329	635	20	[	[	PUNCT
ejge-4329	635	21	]	]	X
ejge-4329	635	22			NOUN
ejge-4329	635	23			PROPN
ejge-4329	635	24			PROPN
ejge-4329	635	25			NOUN
ejge-4329	635	26			PRON
ejge-4329	635	27			PROPN
ejge-4329	635	28	+	+	PROPN
ejge-4329	636	1	+	+	PUNCT
ejge-4329	637	1	+	+	CCONJ
ejge-4329	638	1	−	−	NOUN
ejge-4329	638	2	+	+	ADJ
ejge-4329	638	3	−	−	NOUN
ejge-4329	638	4	tdkskmk	tdkskmk	NOUN
ejge-4329	638	5	ds	ds	PRON
ejge-4329	638	6	d	d	NOUN
ejge-4329	638	7	ds	ds	NOUN
ejge-4329	638	8	s	s	X
ejge-4329	638	9	d	d	X
ejge-4329	638	10	e	e	X
ejge-4329	638	11	kk	kk	PROPN
ejge-4329	638	12	k	k	PROPN
ejge-4329	638	13	kk	kk	PROPN
ejge-4329	638	14	kk	kk	PROPN
ejge-4329	638	15	)	)	PUNCT
ejge-4329	638	16	(	(	PUNCT
ejge-4329	638	17	[	[	PUNCT
ejge-4329	638	18	]	]	X
ejge-4329	638	19	[	[	PUNCT
ejge-4329	638	20	]	]	X
ejge-4329	638	21	,	,	PUNCT
ejge-4329	638	22	2	2	X
ejge-4329	638	23	)	)	PUNCT
ejge-4329	638	24	(	(	PUNCT
ejge-4329	638	25	)	)	PUNCT
ejge-4329	638	26	(	(	PUNCT
ejge-4329	638	27	1(0	1(0	NUM
ejge-4329	638	28	)	)	PUNCT
ejge-4329	638	29	2	2	NUM
ejge-4329	638	30	)	)	PUNCT
ejge-4329	638	31	(	(	PUNCT
ejge-4329	638	32	)	)	PUNCT
ejge-4329	638	33	(	(	PUNCT
ejge-4329	638	34	0	0	NUM
ejge-4329	638	35			PROPN
ejge-4329	638	36			PROPN
ejge-4329	638	37			PROPN
ejge-4329	638	38			PROPN
ejge-4329	638	39			PROPN
ejge-4329	638	40			PROPN
ejge-4329	638	41			PROPN
ejge-4329	638	42			ADJ
ejge-4329	638	43			ADJ
ejge-4329	638	44			ADJ
ejge-4329	638	45			ADJ
ejge-4329	638	46			ADJ
ejge-4329	638	47			NUM
ejge-4329	638	48			VERB
ejge-4329	638	49			PROPN
ejge-4329	638	50			PROPN
ejge-4329	638	51			PROPN
ejge-4329	638	52			ADJ
ejge-4329	638	53			NUM
ejge-4329	638	54			NOUN
ejge-4329	638	55	+	+	X
ejge-4329	639	1	+	+	PUNCT
ejge-4329	639	2	+	+	CCONJ
ejge-4329	639	3			PROPN
ejge-4329	639	4			PROPN
ejge-4329	639	5			PROPN
ejge-4329	639	6			ADJ
ejge-4329	639	7			NUM
ejge-4329	639	8			NOUN
ejge-4329	639	9	+	+	CCONJ
ejge-4329	639	10	−	−	PROPN
ejge-4329	639	11	+	+	CCONJ
ejge-4329	639	12	−+−	−+−	PROPN
ejge-4329	639	13	∗	∗	VERB
ejge-4329	639	14	+	+	NOUN
ejge-4329	639	15	−	−	NOUN
ejge-4329	639	16	+	+	ADJ
ejge-4329	639	17	−	−	PROPN
ejge-4329	639	18	∞	∞	NUM
ejge-4329	639	19	∫	∫	NOUN
ejge-4329	639	20	tdkskmk	tdkskmk	NOUN
ejge-4329	639	21	ds	ds	PRON
ejge-4329	639	22	d	d	NOUN
ejge-4329	639	23	ds	ds	PROPN
ejge-4329	639	24	s	s	NOUN
ejge-4329	639	25	d	d	NOUN
ejge-4329	639	26	tdkskmk	tdkskmk	NOUN
ejge-4329	639	27	dsm	dsm	PROPN
ejge-4329	639	28	d	d	X
ejge-4329	639	29	dsm	dsm	PROPN
ejge-4329	639	30	s	s	PART
ejge-4329	639	31	m	m	VERB
ejge-4329	639	32	did	do	AUX
ejge-4329	639	33	e	e	X
ejge-4329	639	34	kk	kk	PROPN
ejge-4329	639	35	k	k	PROPN
ejge-4329	639	36	kk	kk	PROPN
ejge-4329	639	37	kk	kk	PROPN
ejge-4329	639	38	dte	dte	PROPN
ejge-4329	640	1	kkk	kkk	PROPN
ejge-4329	640	2	k	k	PROPN
ejge-4329	641	1	kkk	kkk	PROPN
ejge-4329	641	2	k	k	PROPN
ejge-4329	642	1	k	k	PROPN
ejge-4329	642	2	kw	kw	INTJ
ejge-4329	642	3	λ	λ	PROPN
ejge-4329	642	4	λ	λ	PROPN
ejge-4329	642	5	,	,	PUNCT
ejge-4329	642	6	(	(	PUNCT
ejge-4329	642	7	0)2(0)(0)2(0)2=4or	0)2(0)(0)2(0)2=4or	NOUN
ejge-4329	642	8	222222	222222	NUM
ejge-4329	642	9	jwjwjwwqg	jwjwjwwqg	PROPN
ejge-4329	642	10	idididid	idididid	VERB
ejge-4329	642	11	λλλλλ	λλλλλ	PROPN
ejge-4329	643	1	+	+	X
ejge-4329	643	2	−−−	−−−	X
ejge-4329	643	3	[	[	PUNCT
ejge-4329	643	4	]	]	X
ejge-4329	643	5	,	,	PUNCT
ejge-4329	643	6	=	=	SYM
ejge-4329	643	7	where	where	SCONJ
ejge-4329	643	8	)	)	PUNCT
ejge-4329	643	9	(	(	PUNCT
ejge-4329	643	10			NOUN
ejge-4329	643	11			PROPN
ejge-4329	643	12			PROPN
ejge-4329	643	13			NOUN
ejge-4329	643	14			PRON
ejge-4329	643	15			PROPN
ejge-4329	643	16	+	+	PROPN
ejge-4329	643	17	+	+	PUNCT
ejge-4329	643	18	+	+	NUM
ejge-4329	643	19	+	+	ADJ
ejge-4329	643	20	−	−	NOUN
ejge-4329	643	21	tdkskmk	tdkskmk	NOUN
ejge-4329	643	22	ds	ds	PRON
ejge-4329	643	23	d	d	NOUN
ejge-4329	643	24	ds	ds	NOUN
ejge-4329	643	25	s	s	X
ejge-4329	643	26	d	d	X
ejge-4329	643	27	e	e	X
ejge-4329	643	28	kk	kk	PROPN
ejge-4329	643	29	k	k	PROPN
ejge-4329	643	30	kk	kk	PROPN
ejge-4329	643	31	kkq	kkq	PROPN
ejge-4329	643	32	225	225	NUM
ejge-4329	643	33	n.	n.	NOUN
ejge-4329	643	34	nawaz	nawaz	ADJ
ejge-4329	643	35	/	/	SYM
ejge-4329	643	36	european	european	ADJ
ejge-4329	643	37	journal	journal	PROPN
ejge-4329	643	38	of	of	ADP
ejge-4329	643	39	government	government	NOUN
ejge-4329	643	40	and	and	CCONJ
ejge-4329	643	41	economics	economic	NOUN
ejge-4329	643	42	6(2	6(2	NUM
ejge-4329	643	43	)	)	PUNCT
ejge-4329	643	44	,	,	PUNCT
ejge-4329	643	45	191	191	NUM
ejge-4329	643	46	-	-	SYM
ejge-4329	643	47	225	225	NUM
ejge-4329	643	48	[	[	PUNCT
ejge-4329	643	49	]	]	X
ejge-4329	643	50	.	.	PUNCT
ejge-4329	643	51	)	)	PUNCT
ejge-4329	643	52	(	(	PUNCT
ejge-4329	643	53	)	)	PUNCT
ejge-4329	643	54	(	(	PUNCT
ejge-4329	643	55	1=	1=	NUM
ejge-4329	643	56	)	)	PUNCT
ejge-4329	643	57	(	(	PUNCT
ejge-4329	643	58	0	0	NUM
ejge-4329	643	59	dte	dte	PROPN
ejge-4329	643	60	kkk	kkk	PROPN
ejge-4329	643	61	k	k	PROPN
ejge-4329	644	1	kkk	kkk	PROPN
ejge-4329	644	2	k	k	PROPN
ejge-4329	645	1	k	k	PROPN
ejge-4329	645	2	kj	kj	PROPN
ejge-4329	645	3	tdkskmk	tdkskmk	PROPN
ejge-4329	645	4	dsm	dsm	PROPN
ejge-4329	645	5	d	d	X
ejge-4329	645	6	dsm	dsm	PROPN
ejge-4329	645	7	s	s	PART
ejge-4329	645	8	m	m	NOUN
ejge-4329	645	9	d	d	X
ejge-4329	645	10			PROPN
ejge-4329	645	11			PROPN
ejge-4329	645	12			PROPN
ejge-4329	645	13			ADJ
ejge-4329	645	14			NUM
ejge-4329	645	15			NOUN
ejge-4329	645	16	+	+	CCONJ
ejge-4329	645	17	−	−	PROPN
ejge-4329	645	18	+	+	CCONJ
ejge-4329	645	19	−+	−+	PROPN
ejge-4329	645	20	+	+	NOUN
ejge-4329	645	21	−	−	PROPN
ejge-4329	645	22	∞	∞	NUM
ejge-4329	645	23	∫	∫	NOUN
ejge-4329	646	1	this	this	PRON
ejge-4329	646	2	implies	imply	VERB
ejge-4329	646	3	that	that	SCONJ
ejge-4329	646	4	{	{	PUNCT
ejge-4329	646	5	}	}	PUNCT
ejge-4329	646	6	0.=4(0	0.=4(0	NUM
ejge-4329	646	7	)	)	PUNCT
ejge-4329	646	8	222	222	NUM
ejge-4329	646	9	jqgwid	jqgwid	NOUN
ejge-4329	646	10	−−	−−	PROPN
ejge-4329	646	11	λ	λ	PROPN
ejge-4329	646	12	.	.	PUNCT
ejge-4329	646	13	4(0	4(0	NUM
ejge-4329	646	14	)	)	PUNCT
ejge-4329	646	15	=	=	SYM
ejge-4329	646	16	2	2	NUM
ejge-4329	646	17	qgw	qgw	NOUN
ejge-4329	646	18	j	j	PROPN
ejge-4329	647	1	i	i	PROPN
ejge-4329	647	2	d	d	PROPN
ejge-4329	647	3	−	−	PROPN
ejge-4329	648	1	λ	λ	X
ejge-4329	648	2	eq	eq	NOUN
ejge-4329	648	3	.	.	PUNCT
ejge-4329	649	1	[	[	X
ejge-4329	649	2	64	64	NUM
ejge-4329	649	3	]	]	PUNCT
ejge-4329	649	4	can	can	AUX
ejge-4329	649	5	also	also	ADV
ejge-4329	649	6	be	be	AUX
ejge-4329	649	7	written	write	VERB
ejge-4329	649	8	as	as	ADP
ejge-4329	649	9	.	.	PROPN
ejge-4329	649	10	2	2	NUM
ejge-4329	649	11	(	(	PUNCT
ejge-4329	649	12	0)=	0)=	NUM
ejge-4329	649	13	q	q	PROPN
ejge-4329	649	14	jwt	jwt	PROPN
ejge-4329	650	1	i	i	PROPN
ejge-4329	650	2	d	d	PROPN
ejge-4329	650	3	λ	λ	PROPN
ejge-4329	650	4	λ	λ	X
ejge-4329	650	5	−	−	PUNCT
ejge-4329	651	1	[	[	X
ejge-4329	651	2	66	66	NUM
ejge-4329	651	3	]	]	PUNCT
ejge-4329	651	4	substituting	substitute	VERB
ejge-4329	651	5	the	the	DET
ejge-4329	651	6	value	value	NOUN
ejge-4329	651	7	of	of	ADP
ejge-4329	651	8	λ	λ	PROPN
ejge-4329	651	9	into	into	ADP
ejge-4329	651	10	eq	eq	NOUN
ejge-4329	651	11	.	.	PUNCT
ejge-4329	652	1	[	[	X
ejge-4329	652	2	66	66	NUM
ejge-4329	652	3	]	]	PUNCT
ejge-4329	652	4	,	,	PUNCT
ejge-4329	652	5	we	we	PRON
ejge-4329	652	6	get	get	VERB
ejge-4329	652	7	:	:	PUNCT
ejge-4329	652	8	,	,	PUNCT
ejge-4329	652	9	4(0	4(0	NOUN
ejge-4329	652	10	)	)	PUNCT
ejge-4329	652	11	2	2	NUM
ejge-4329	652	12	4(0	4(0	NUM
ejge-4329	652	13	)	)	PUNCT
ejge-4329	652	14	(	(	PUNCT
ejge-4329	652	15	0	0	NUM
ejge-4329	652	16	)	)	PUNCT
ejge-4329	653	1	=)	=)	PROPN
ejge-4329	653	2	(	(	PUNCT
ejge-4329	653	3	2	2	NUM
ejge-4329	653	4	2	2	NUM
ejge-4329	653	5	qgw	qgw	NOUN
ejge-4329	653	6	qj	qj	PROPN
ejge-4329	653	7	j	j	PROPN
ejge-4329	653	8	qgw	qgw	NOUN
ejge-4329	654	1	jw	jw	PROPN
ejge-4329	654	2	tt	tt	PROPN
ejge-4329	655	1	i	i	PROPN
ejge-4329	655	2	d	d	PROPN
ejge-4329	655	3	i	i	PROPN
ejge-4329	655	4	d	d	PROPN
ejge-4329	655	5	i	i	PROPN
ejge-4329	655	6	d	d	PROPN
ejge-4329	655	7	−	−	PROPN
ejge-4329	655	8	−	−	PROPN
ejge-4329	655	9	−	−	NOUN
ejge-4329	655	10	.	.	PUNCT
ejge-4329	656	1	2	2	NUM
ejge-4329	656	2	4(0)(0	4(0)(0	NUM
ejge-4329	656	3	)	)	PUNCT
ejge-4329	657	1	=)	=)	PROPN
ejge-4329	657	2	(	(	PUNCT
ejge-4329	657	3	2	2	NUM
ejge-4329	657	4	q	q	NOUN
ejge-4329	657	5	qgww	qgww	VERB
ejge-4329	657	6	tt	tt	PROPN
ejge-4329	657	7	idid	idid	VERB
ejge-4329	657	8	−−	−−	NOUN
ejge-4329	657	9	[	[	X
ejge-4329	657	10	67	67	NUM
ejge-4329	657	11	]	]	X
ejge-4329	657	12	a	a	DET
ejge-4329	657	13	negative	negative	ADJ
ejge-4329	657	14	optimal	optimal	ADJ
ejge-4329	657	15	tax	tax	NOUN
ejge-4329	657	16	is	be	AUX
ejge-4329	657	17	an	an	DET
ejge-4329	657	18	optimal	optimal	ADJ
ejge-4329	657	19	subsidy	subsidy	NOUN
ejge-4329	657	20	.	.	PUNCT
ejge-4329	658	1	in	in	ADP
ejge-4329	658	2	order	order	NOUN
ejge-4329	658	3	to	to	PART
ejge-4329	658	4	check	check	VERB
ejge-4329	658	5	the	the	DET
ejge-4329	658	6	second	second	ADJ
ejge-4329	658	7	order	order	NOUN
ejge-4329	658	8	condition	condition	NOUN
ejge-4329	658	9	for	for	ADP
ejge-4329	658	10	minimization	minimization	NOUN
ejge-4329	658	11	,	,	PUNCT
ejge-4329	658	12	we	we	PRON
ejge-4329	658	13	proceed	proceed	VERB
ejge-4329	658	14	as	as	SCONJ
ejge-4329	658	15	follows	follow	VERB
ejge-4329	658	16	:	:	PUNCT
ejge-4329	658	17	the	the	DET
ejge-4329	658	18	lagrangian	lagrangian	NOUN
ejge-4329	658	19	can	can	AUX
ejge-4329	658	20	be	be	AUX
ejge-4329	658	21	written	write	VERB
ejge-4329	658	22	as	as	ADP
ejge-4329	658	23	(	(	PUNCT
ejge-4329	658	24	)	)	PUNCT
ejge-4329	658	25	[	[	PUNCT
ejge-4329	658	26	]	]	X
ejge-4329	658	27	.(0)=	.(0)=	X
ejge-4329	658	28	qtwtgjt	qtwtgjt	VERB
ejge-4329	659	1	i	i	NOUN
ejge-4329	659	2	d	d	PROPN
ejge-4329	659	3	−−+	−−+	PROPN
ejge-4329	659	4	λl	λl	VERB
ejge-4329	659	5	the	the	DET
ejge-4329	659	6	bordered	bordered	ADJ
ejge-4329	659	7	hessian	hessian	ADJ
ejge-4329	659	8	matrix	matrix	NOUN
ejge-4329	659	9	of	of	ADP
ejge-4329	659	10	the	the	DET
ejge-4329	659	11	lagrange	lagrange	NOUN
ejge-4329	659	12	function	function	NOUN
ejge-4329	659	13	is	be	AUX
ejge-4329	659	14	as	as	SCONJ
ejge-4329	659	15	follows	follow	VERB
ejge-4329	659	16	:	:	PUNCT
ejge-4329	659	17	,	,	PUNCT
ejge-4329	659	18	4(0	4(0	NOUN
ejge-4329	659	19	)	)	PUNCT
ejge-4329	659	20	22(0	22(0	NUM
ejge-4329	659	21	)	)	PUNCT
ejge-4329	660	1	2(0)0	2(0)0	NUM
ejge-4329	660	2	=	=	SYM
ejge-4329	660	3	2	2	NUM
ejge-4329	660	4			PROPN
ejge-4329	660	5			PROPN
ejge-4329	660	6			PROPN
ejge-4329	660	7			PROPN
ejge-4329	660	8			PROPN
ejge-4329	660	9			ADJ
ejge-4329	660	10			ADJ
ejge-4329	660	11			ADJ
ejge-4329	660	12			NUM
ejge-4329	660	13			NOUN
ejge-4329	660	14	−	−	PROPN
ejge-4329	660	15	−	−	PROPN
ejge-4329	660	16	−	−	PROPN
ejge-4329	660	17	qgw	qgw	NOUN
ejge-4329	660	18	qjqtw	qjqtw	NOUN
ejge-4329	660	19	qtw	qtw	NOUN
ejge-4329	660	20	bh	bh	NOUN
ejge-4329	661	1	i	i	PROPN
ejge-4329	661	2	d	d	PROPN
ejge-4329	661	3	i	i	PROPN
ejge-4329	661	4	d	d	PROPN
ejge-4329	661	5	i	i	PROPN
ejge-4329	661	6	d	d	PROPN
ejge-4329	661	7	the	the	DET
ejge-4329	661	8	determinant	determinant	NOUN
ejge-4329	661	9	of	of	ADP
ejge-4329	661	10	which	which	PRON
ejge-4329	661	11	is	be	AUX
ejge-4329	661	12	negative	negative	ADJ
ejge-4329	661	13	as	as	ADP
ejge-4329	661	14	(	(	PUNCT
ejge-4329	661	15	)	)	PUNCT
ejge-4329	661	16	0,<2(0	0,<2(0	NUM
ejge-4329	661	17	)	)	PUNCT
ejge-4329	662	1	2qtwid	2qtwid	NUM
ejge-4329	662	2	−−	−−	NOUN
ejge-4329	662	3	which	which	PRON
ejge-4329	662	4	implies	imply	VERB
ejge-4329	662	5	that	that	SCONJ
ejge-4329	662	6	the	the	DET
ejge-4329	662	7	efficiency	efficiency	NOUN
ejge-4329	662	8	loss	loss	NOUN
ejge-4329	662	9	is	be	AUX
ejge-4329	662	10	minimized	minimize	VERB
ejge-4329	662	11	.	.	PUNCT
ejge-4329	663	1	abstract	abstract	ADJ
ejge-4329	663	2	.	.	PUNCT
ejge-4329	664	1	following	follow	VERB
ejge-4329	664	2	ramsey	ramsey	PROPN
ejge-4329	664	3	,	,	PUNCT
ejge-4329	664	4	the	the	DET
ejge-4329	664	5	existing	exist	VERB
ejge-4329	664	6	literature	literature	NOUN
ejge-4329	664	7	on	on	ADP
ejge-4329	664	8	optimal	optimal	ADJ
ejge-4329	664	9	quantity	quantity	NOUN
ejge-4329	664	10	taxation	taxation	NOUN
ejge-4329	664	11	only	only	ADV
ejge-4329	664	12	compares	compare	VERB
ejge-4329	664	13	the	the	DET
ejge-4329	664	14	pre	pre	NOUN
ejge-4329	664	15	and	and	CCONJ
ejge-4329	664	16	the	the	DET
ejge-4329	664	17	post	post	ADJ
ejge-4329	664	18	-	-	ADJ
ejge-4329	664	19	tax	tax	ADJ
ejge-4329	664	20	market	market	NOUN
ejge-4329	664	21	equilibriums	equilibrium	NOUN
ejge-4329	664	22	in	in	ADP
ejge-4329	664	23	order	order	NOUN
ejge-4329	664	24	to	to	PART
ejge-4329	664	25	account	account	VERB
ejge-4329	664	26	for	for	ADP
ejge-4329	664	27	the	the	DET
ejge-4329	664	28	efficiency	efficiency	NOUN
ejge-4329	664	29	losses	loss	NOUN
ejge-4329	664	30	.	.	PUNCT
ejge-4329	665	1	however	however	ADV
ejge-4329	665	2	,	,	PUNCT
ejge-4329	665	3	when	when	SCONJ
ejge-4329	665	4	the	the	DET
ejge-4329	665	5	government	government	NOUN
ejge-4329	665	6	imposes	impose	VERB
ejge-4329	665	7	a	a	DET
ejge-4329	665	8	quantity	quantity	NOUN
ejge-4329	665	9	tax	tax	NOUN
ejge-4329	665	10	on	on	ADP
ejge-4329	665	11	the	the	DET
ejge-4329	665	12	consu	consu	ADJ
ejge-4329	665	13	...	...	PUNCT
ejge-4329	665	14	keywords	keyword	NOUN
ejge-4329	665	15	.	.	PUNCT
ejge-4329	666	1	quantity	quantity	NOUN
ejge-4329	666	2	tax	tax	NOUN
ejge-4329	666	3	;	;	PUNCT
ejge-4329	666	4	dynamic	dynamic	ADJ
ejge-4329	666	5	efficiency	efficiency	NOUN
ejge-4329	666	6	;	;	PUNCT
ejge-4329	666	7	adjustment	adjustment	NOUN
ejge-4329	666	8	path	path	NOUN
ejge-4329	666	9	;	;	PUNCT
ejge-4329	666	10	equilibrium	equilibrium	NOUN
ejge-4329	666	11	jel	jel	PROPN
ejge-4329	666	12	classification	classification	PROPN
ejge-4329	666	13	.	.	PUNCT
ejge-4329	667	1	h20	h20	PROPN
ejge-4329	667	2	;	;	PUNCT
ejge-4329	667	3	h21	h21	NOUN
ejge-4329	667	4	;	;	PUNCT
ejge-4329	667	5	h22	h22	PROPN
ejge-4329	667	6	2	2	NUM
ejge-4329	667	7	.	.	PUNCT
ejge-4329	668	1	the	the	DET
ejge-4329	668	2	model	model	NOUN
ejge-4329	668	3	i	i	PRON
ejge-4329	668	4	am	be	AUX
ejge-4329	668	5	grateful	grateful	ADJ
ejge-4329	668	6	to	to	ADP
ejge-4329	668	7	two	two	NUM
ejge-4329	668	8	anonymous	anonymous	ADJ
ejge-4329	668	9	referees	referee	NOUN
ejge-4329	668	10	for	for	ADP
ejge-4329	668	11	their	their	PRON
ejge-4329	668	12	valuable	valuable	ADJ
ejge-4329	668	13	comments	comment	NOUN
ejge-4329	668	14	and	and	CCONJ
ejge-4329	668	15	suggestions	suggestion	NOUN
ejge-4329	668	16	.	.	PUNCT
ejge-4329	669	1	references	reference	NOUN