id	sid	tid	token	lemma	pos
ijassa-426	1	1	advances	advance	NOUN
ijassa-426	1	2	in	in	ADP
ijassa-426	1	3	systems	system	NOUN
ijassa-426	1	4	science	science	NOUN
ijassa-426	1	5	and	and	CCONJ
ijassa-426	1	6	applications	application	NOUN
ijassa-426	1	7	(	(	PUNCT
ijassa-426	1	8	2013	2013	NUM
ijassa-426	1	9	)	)	PUNCT
ijassa-426	1	10	vol.13	vol.13	NOUN
ijassa-426	1	11	no.1	no.1	VERB
ijassa-426	1	12	37	37	NUM
ijassa-426	1	13	-	-	SYM
ijassa-426	1	14	52	52	NUM
ijassa-426	1	15	static	static	ADJ
ijassa-426	1	16	models	model	NOUN
ijassa-426	1	17	of	of	ADP
ijassa-426	1	18	corruption	corruption	NOUN
ijassa-426	1	19	in	in	ADP
ijassa-426	1	20	hierarchical	hierarchical	ADJ
ijassa-426	1	21	systems	system	NOUN
ijassa-426	1	22	andrey	andrey	PROPN
ijassa-426	1	23	v.	v.	ADP
ijassa-426	1	24	antonenko	antonenko	PROPN
ijassa-426	1	25	and	and	CCONJ
ijassa-426	1	26	guennady	guennady	PROPN
ijassa-426	1	27	a.	a.	PROPN
ijassa-426	1	28	ougolnitsky	ougolnitsky	PROPN
ijassa-426	1	29	southern	southern	PROPN
ijassa-426	1	30	federal	federal	PROPN
ijassa-426	1	31	university	university	PROPN
ijassa-426	1	32	,	,	PUNCT
ijassa-426	1	33	russia	russia	PROPN
ijassa-426	1	34	abstract	abstract	VERB
ijassa-426	1	35	the	the	DET
ijassa-426	1	36	principles	principle	NOUN
ijassa-426	1	37	of	of	ADP
ijassa-426	1	38	modeling	modeling	NOUN
ijassa-426	1	39	and	and	CCONJ
ijassa-426	1	40	control	control	NOUN
ijassa-426	1	41	of	of	ADP
ijassa-426	1	42	corruption	corruption	NOUN
ijassa-426	1	43	in	in	ADP
ijassa-426	1	44	the	the	DET
ijassa-426	1	45	hierarchical	hierarchical	ADJ
ijassa-426	1	46	systems	system	NOUN
ijassa-426	1	47	are	be	AUX
ijassa-426	1	48	formulated	formulate	VERB
ijassa-426	1	49	.	.	PUNCT
ijassa-426	2	1	a	a	DET
ijassa-426	2	2	system	system	NOUN
ijassa-426	2	3	of	of	ADP
ijassa-426	2	4	the	the	DET
ijassa-426	2	5	theoretical	theoretical	ADJ
ijassa-426	2	6	static	static	ADJ
ijassa-426	2	7	models	model	NOUN
ijassa-426	2	8	of	of	ADP
ijassa-426	2	9	administrative	administrative	ADJ
ijassa-426	2	10	and	and	CCONJ
ijassa-426	2	11	economic	economic	ADJ
ijassa-426	2	12	corruption	corruption	NOUN
ijassa-426	2	13	as	as	ADV
ijassa-426	2	14	well	well	ADV
ijassa-426	2	15	as	as	ADP
ijassa-426	2	16	models	model	NOUN
ijassa-426	2	17	of	of	ADP
ijassa-426	2	18	corruption	corruption	NOUN
ijassa-426	2	19	in	in	ADP
ijassa-426	2	20	real	real	ADJ
ijassa-426	2	21	estate	estate	NOUN
ijassa-426	2	22	development	development	NOUN
ijassa-426	2	23	is	be	AUX
ijassa-426	2	24	built	build	VERB
ijassa-426	2	25	.	.	PUNCT
ijassa-426	3	1	the	the	DET
ijassa-426	3	2	dependence	dependence	NOUN
ijassa-426	3	3	of	of	ADP
ijassa-426	3	4	corrupted	corrupted	ADJ
ijassa-426	3	5	behavior	behavior	NOUN
ijassa-426	3	6	on	on	ADP
ijassa-426	3	7	model	model	NOUN
ijassa-426	3	8	parameters	parameter	NOUN
ijassa-426	3	9	is	be	AUX
ijassa-426	3	10	investigated	investigate	VERB
ijassa-426	3	11	,	,	PUNCT
ijassa-426	3	12	and	and	CCONJ
ijassa-426	3	13	the	the	DET
ijassa-426	3	14	analytical	analytical	ADJ
ijassa-426	3	15	conditions	condition	NOUN
ijassa-426	3	16	in	in	ADP
ijassa-426	3	17	which	which	PRON
ijassa-426	3	18	corruption	corruption	NOUN
ijassa-426	3	19	is	be	AUX
ijassa-426	3	20	not	not	PART
ijassa-426	3	21	profitable	profitable	ADJ
ijassa-426	3	22	for	for	ADP
ijassa-426	3	23	the	the	DET
ijassa-426	3	24	agent	agent	NOUN
ijassa-426	3	25	or	or	CCONJ
ijassa-426	3	26	can	can	AUX
ijassa-426	3	27	be	be	AUX
ijassa-426	3	28	controlled	control	VERB
ijassa-426	3	29	by	by	ADP
ijassa-426	3	30	the	the	DET
ijassa-426	3	31	principal	principal	NOUN
ijassa-426	3	32	for	for	ADP
ijassa-426	3	33	ensuring	ensure	VERB
ijassa-426	3	34	sustainable	sustainable	ADJ
ijassa-426	3	35	development	development	NOUN
ijassa-426	3	36	of	of	ADP
ijassa-426	3	37	the	the	DET
ijassa-426	3	38	system	system	NOUN
ijassa-426	3	39	are	be	AUX
ijassa-426	3	40	received	receive	VERB
ijassa-426	3	41	.	.	PUNCT
ijassa-426	4	1	keywords	keyword	VERB
ijassa-426	4	2	corruption	corruption	NOUN
ijassa-426	4	3	,	,	PUNCT
ijassa-426	4	4	hierarchical	hierarchical	ADJ
ijassa-426	4	5	systems	system	NOUN
ijassa-426	4	6	,	,	PUNCT
ijassa-426	4	7	game	game	NOUN
ijassa-426	4	8	theory	theory	NOUN
ijassa-426	4	9	,	,	PUNCT
ijassa-426	4	10	optimization	optimization	NOUN
ijassa-426	4	11	,	,	PUNCT
ijassa-426	4	12	sustainable	sustainable	ADJ
ijassa-426	4	13	development	development	NOUN
ijassa-426	4	14	1	1	NUM
ijassa-426	4	15	introduction	introduction	NOUN
ijassa-426	4	16	the	the	DET
ijassa-426	4	17	pioneering	pioneering	ADJ
ijassa-426	4	18	work	work	NOUN
ijassa-426	4	19	on	on	ADP
ijassa-426	4	20	the	the	DET
ijassa-426	4	21	mathematical	mathematical	ADJ
ijassa-426	4	22	modeling	modeling	NOUN
ijassa-426	4	23	of	of	ADP
ijassa-426	4	24	corruption	corruption	NOUN
ijassa-426	4	25	is	be	AUX
ijassa-426	4	26	susan	susan	PROPN
ijassa-426	4	27	roseackerman	roseackerman	PROPN
ijassa-426	4	28	’s	’s	PART
ijassa-426	4	29	paper	paper	NOUN
ijassa-426	5	1	[	[	X
ijassa-426	5	2	1	1	X
ijassa-426	5	3	]	]	PUNCT
ijassa-426	5	4	with	with	ADP
ijassa-426	5	5	the	the	DET
ijassa-426	5	6	consequent	consequent	ADJ
ijassa-426	5	7	development	development	NOUN
ijassa-426	5	8	of	of	ADP
ijassa-426	5	9	the	the	DET
ijassa-426	5	10	proposed	propose	VERB
ijassa-426	5	11	approach	approach	NOUN
ijassa-426	5	12	in	in	ADP
ijassa-426	5	13	her	her	PRON
ijassa-426	5	14	monograph	monograph	NOUN
ijassa-426	6	1	[	[	X
ijassa-426	6	2	2	2	NUM
ijassa-426	6	3	]	]	PUNCT
ijassa-426	6	4	.	.	PUNCT
ijassa-426	7	1	the	the	DET
ijassa-426	7	2	monograph	monograph	NOUN
ijassa-426	7	3	specifies	specify	VERB
ijassa-426	7	4	the	the	DET
ijassa-426	7	5	ideas	idea	NOUN
ijassa-426	7	6	by	by	ADP
ijassa-426	7	7	gary	gary	PROPN
ijassa-426	7	8	becker	becker	PROPN
ijassa-426	8	1	[	[	X
ijassa-426	8	2	3	3	NUM
ijassa-426	8	3	]	]	PUNCT
ijassa-426	8	4	concerning	concern	VERB
ijassa-426	8	5	the	the	DET
ijassa-426	8	6	modeling	modeling	NOUN
ijassa-426	8	7	of	of	ADP
ijassa-426	8	8	arbitrary	arbitrary	ADJ
ijassa-426	8	9	crimes	crime	NOUN
ijassa-426	8	10	and	and	CCONJ
ijassa-426	8	11	punishments	punishment	NOUN
ijassa-426	8	12	.	.	PUNCT
ijassa-426	9	1	later	later	ADV
ijassa-426	9	2	the	the	DET
ijassa-426	9	3	static	static	ADJ
ijassa-426	9	4	models	model	NOUN
ijassa-426	9	5	of	of	ADP
ijassa-426	9	6	corruption	corruption	NOUN
ijassa-426	9	7	were	be	AUX
ijassa-426	9	8	developed	develop	VERB
ijassa-426	9	9	in	in	ADP
ijassa-426	9	10	two	two	NUM
ijassa-426	9	11	principal	principal	ADJ
ijassa-426	9	12	directions	direction	NOUN
ijassa-426	9	13	.	.	PUNCT
ijassa-426	10	1	the	the	DET
ijassa-426	10	2	first	first	ADJ
ijassa-426	10	3	one	one	NOUN
ijassa-426	10	4	includes	include	VERB
ijassa-426	10	5	mathematical	mathematical	ADJ
ijassa-426	10	6	models	model	NOUN
ijassa-426	10	7	that	that	PRON
ijassa-426	10	8	investigate	investigate	VERB
ijassa-426	10	9	corruption	corruption	NOUN
ijassa-426	10	10	inside	inside	ADP
ijassa-426	10	11	an	an	DET
ijassa-426	10	12	organization	organization	NOUN
ijassa-426	10	13	(	(	PUNCT
ijassa-426	10	14	internal	internal	ADJ
ijassa-426	10	15	corruption	corruption	NOUN
ijassa-426	10	16	)	)	PUNCT
ijassa-426	10	17	and	and	CCONJ
ijassa-426	10	18	between	between	ADP
ijassa-426	10	19	organizations	organization	NOUN
ijassa-426	10	20	(	(	PUNCT
ijassa-426	10	21	external	external	ADJ
ijassa-426	10	22	corruption	corruption	NOUN
ijassa-426	10	23	)	)	PUNCT
ijassa-426	10	24	.	.	PUNCT
ijassa-426	11	1	within	within	ADP
ijassa-426	11	2	the	the	DET
ijassa-426	11	3	framework	framework	NOUN
ijassa-426	11	4	of	of	ADP
ijassa-426	11	5	this	this	DET
ijassa-426	11	6	class	class	NOUN
ijassa-426	11	7	of	of	ADP
ijassa-426	11	8	models	model	NOUN
ijassa-426	11	9	the	the	DET
ijassa-426	11	10	problems	problem	NOUN
ijassa-426	11	11	of	of	ADP
ijassa-426	11	12	interaction	interaction	NOUN
ijassa-426	11	13	of	of	ADP
ijassa-426	11	14	competence	competence	NOUN
ijassa-426	11	15	and	and	CCONJ
ijassa-426	11	16	corruption	corruption	NOUN
ijassa-426	11	17	,	,	PUNCT
ijassa-426	11	18	non	non	ADJ
ijassa-426	11	19	-	-	ADJ
ijassa-426	11	20	optimal	optimal	ADJ
ijassa-426	11	21	resource	resource	NOUN
ijassa-426	11	22	distribution	distribution	NOUN
ijassa-426	11	23	,	,	PUNCT
ijassa-426	11	24	the	the	DET
ijassa-426	11	25	principal	principal	NOUN
ijassa-426	11	26	’s	’s	PART
ijassa-426	11	27	impact	impact	NOUN
ijassa-426	11	28	to	to	ADP
ijassa-426	11	29	the	the	DET
ijassa-426	11	30	model	model	NOUN
ijassa-426	11	31	equilibrium	equilibrium	NOUN
ijassa-426	11	32	and	and	CCONJ
ijassa-426	11	33	some	some	DET
ijassa-426	11	34	other	other	ADJ
ijassa-426	11	35	ones	one	NOUN
ijassa-426	11	36	are	be	AUX
ijassa-426	11	37	studied	study	VERB
ijassa-426	11	38	.	.	PUNCT
ijassa-426	12	1	the	the	DET
ijassa-426	12	2	paper	paper	NOUN
ijassa-426	12	3	[	[	X
ijassa-426	12	4	4	4	X
ijassa-426	12	5	]	]	PUNCT
ijassa-426	12	6	may	may	AUX
ijassa-426	12	7	be	be	AUX
ijassa-426	12	8	taken	take	VERB
ijassa-426	12	9	as	as	ADP
ijassa-426	12	10	an	an	DET
ijassa-426	12	11	example	example	NOUN
ijassa-426	12	12	in	in	ADP
ijassa-426	12	13	which	which	PRON
ijassa-426	12	14	the	the	DET
ijassa-426	12	15	problems	problem	NOUN
ijassa-426	12	16	of	of	ADP
ijassa-426	12	17	federal	federal	ADJ
ijassa-426	12	18	resources	resource	NOUN
ijassa-426	12	19	distribution	distribution	NOUN
ijassa-426	12	20	by	by	ADP
ijassa-426	12	21	bureaucrats	bureaucrat	NOUN
ijassa-426	12	22	and	and	CCONJ
ijassa-426	12	23	the	the	DET
ijassa-426	12	24	forms	form	NOUN
ijassa-426	12	25	of	of	ADP
ijassa-426	12	26	impact	impact	NOUN
ijassa-426	12	27	of	of	ADP
ijassa-426	12	28	the	the	DET
ijassa-426	12	29	competence	competence	NOUN
ijassa-426	12	30	between	between	ADP
ijassa-426	12	31	both	both	CCONJ
ijassa-426	12	32	the	the	DET
ijassa-426	12	33	bureaucrats	bureaucrat	NOUN
ijassa-426	12	34	and	and	CCONJ
ijassa-426	12	35	the	the	DET
ijassa-426	12	36	agents	agent	NOUN
ijassa-426	12	37	on	on	ADP
ijassa-426	12	38	the	the	DET
ijassa-426	12	39	bribery	bribery	NOUN
ijassa-426	12	40	scope	scope	NOUN
ijassa-426	12	41	are	be	AUX
ijassa-426	12	42	investigated	investigate	VERB
ijassa-426	12	43	.	.	PUNCT
ijassa-426	13	1	models	model	NOUN
ijassa-426	13	2	of	of	ADP
ijassa-426	13	3	corruption	corruption	NOUN
ijassa-426	13	4	in	in	ADP
ijassa-426	13	5	tax	tax	NOUN
ijassa-426	13	6	authorities	authority	NOUN
ijassa-426	13	7	also	also	ADV
ijassa-426	13	8	belong	belong	VERB
ijassa-426	13	9	to	to	ADP
ijassa-426	13	10	this	this	DET
ijassa-426	13	11	class	class	NOUN
ijassa-426	13	12	,	,	PUNCT
ijassa-426	13	13	for	for	ADP
ijassa-426	13	14	example	example	NOUN
ijassa-426	13	15	,	,	PUNCT
ijassa-426	13	16	[	[	X
ijassa-426	13	17	5	5	NUM
ijassa-426	13	18	-	-	SYM
ijassa-426	13	19	6	6	NUM
ijassa-426	13	20	]	]	PUNCT
ijassa-426	13	21	.	.	PUNCT
ijassa-426	14	1	the	the	DET
ijassa-426	14	2	second	second	ADJ
ijassa-426	14	3	research	research	NOUN
ijassa-426	14	4	direction	direction	NOUN
ijassa-426	14	5	is	be	AUX
ijassa-426	14	6	connected	connect	VERB
ijassa-426	14	7	with	with	ADP
ijassa-426	14	8	modeling	modeling	NOUN
ijassa-426	14	9	of	of	ADP
ijassa-426	14	10	corruption	corruption	NOUN
ijassa-426	14	11	in	in	ADP
ijassa-426	14	12	social	social	ADJ
ijassa-426	14	13	and	and	CCONJ
ijassa-426	14	14	political	political	ADJ
ijassa-426	14	15	life	life	NOUN
ijassa-426	14	16	(	(	PUNCT
ijassa-426	14	17	particularly	particularly	ADV
ijassa-426	14	18	the	the	DET
ijassa-426	14	19	corruption	corruption	NOUN
ijassa-426	14	20	patterns	pattern	NOUN
ijassa-426	14	21	presented	present	VERB
ijassa-426	14	22	in	in	ADP
ijassa-426	14	23	the	the	DET
ijassa-426	14	24	electoral	electoral	ADJ
ijassa-426	14	25	process	process	NOUN
ijassa-426	14	26	)	)	PUNCT
ijassa-426	14	27	.	.	PUNCT
ijassa-426	15	1	models	model	NOUN
ijassa-426	15	2	of	of	ADP
ijassa-426	15	3	the	the	DET
ijassa-426	15	4	principal	principal	ADJ
ijassa-426	15	5	agent	agent	NOUN
ijassa-426	15	6	type	type	NOUN
ijassa-426	15	7	that	that	PRON
ijassa-426	15	8	analyze	analyze	VERB
ijassa-426	15	9	such	such	ADJ
ijassa-426	15	10	problems	problem	NOUN
ijassa-426	15	11	as	as	ADP
ijassa-426	15	12	anti	anti	ADJ
ijassa-426	15	13	-	-	ADJ
ijassa-426	15	14	corruption	corruption	NOUN
ijassa-426	15	15	incentives	incentive	VERB
ijassa-426	15	16	development	development	NOUN
ijassa-426	15	17	,	,	PUNCT
ijassa-426	15	18	building	building	NOUN
ijassa-426	15	19	of	of	ADP
ijassa-426	15	20	decision	decision	NOUN
ijassa-426	15	21	making	make	VERB
ijassa-426	15	22	rules	rule	NOUN
ijassa-426	15	23	that	that	PRON
ijassa-426	15	24	facilitate	facilitate	VERB
ijassa-426	15	25	the	the	DET
ijassa-426	15	26	indication	indication	NOUN
ijassa-426	15	27	of	of	ADP
ijassa-426	15	28	bribery	bribery	NOUN
ijassa-426	15	29	facts	fact	NOUN
ijassa-426	15	30	,	,	PUNCT
ijassa-426	15	31	providing	provide	VERB
ijassa-426	15	32	the	the	DET
ijassa-426	15	33	hierarchical	hierarchical	ADJ
ijassa-426	15	34	structure	structure	NOUN
ijassa-426	15	35	and	and	CCONJ
ijassa-426	15	36	control	control	NOUN
ijassa-426	15	37	mechanisms	mechanism	NOUN
ijassa-426	15	38	for	for	ADP
ijassa-426	15	39	the	the	DET
ijassa-426	15	40	principal	principal	NOUN
ijassa-426	15	41	that	that	PRON
ijassa-426	15	42	compel	compel	VERB
ijassa-426	15	43	or	or	CCONJ
ijassa-426	15	44	impel	impel	VERB
ijassa-426	15	45	the	the	DET
ijassa-426	15	46	agent	agent	NOUN
ijassa-426	15	47	to	to	PART
ijassa-426	15	48	abstain	abstain	VERB
ijassa-426	15	49	from	from	ADP
ijassa-426	15	50	corruption	corruption	NOUN
ijassa-426	15	51	.	.	PUNCT
ijassa-426	16	1	one	one	NUM
ijassa-426	16	2	of	of	ADP
ijassa-426	16	3	the	the	DET
ijassa-426	16	4	principal	principal	ADJ
ijassa-426	16	5	papers	paper	NOUN
ijassa-426	16	6	in	in	ADP
ijassa-426	16	7	this	this	DET
ijassa-426	16	8	research	research	NOUN
ijassa-426	16	9	domain	domain	NOUN
ijassa-426	16	10	is	be	AUX
ijassa-426	16	11	[	[	X
ijassa-426	16	12	7	7	NUM
ijassa-426	16	13	]	]	PUNCT
ijassa-426	16	14	that	that	PRON
ijassa-426	16	15	describes	describe	VERB
ijassa-426	16	16	the	the	DET
ijassa-426	16	17	social	social	ADJ
ijassa-426	16	18	costs	cost	NOUN
ijassa-426	16	19	from	from	ADP
ijassa-426	16	20	corruption	corruption	NOUN
ijassa-426	16	21	in	in	ADP
ijassa-426	16	22	the	the	DET
ijassa-426	16	23	bureaucratic	bureaucratic	ADJ
ijassa-426	16	24	chain	chain	NOUN
ijassa-426	16	25	of	of	ADP
ijassa-426	16	26	an	an	DET
ijassa-426	16	27	arbitrary	arbitrary	ADJ
ijassa-426	16	28	length	length	NOUN
ijassa-426	16	29	with	with	ADP
ijassa-426	16	30	consideration	consideration	NOUN
ijassa-426	16	31	of	of	ADP
ijassa-426	16	32	the	the	DET
ijassa-426	16	33	competence	competence	NOUN
ijassa-426	16	34	between	between	ADP
ijassa-426	16	35	agents	agent	NOUN
ijassa-426	16	36	throughout	throughout	ADP
ijassa-426	16	37	their	their	PRON
ijassa-426	16	38	hierarchy	hierarchy	NOUN
ijassa-426	16	39	.	.	PUNCT
ijassa-426	17	1	the	the	DET
ijassa-426	17	2	paper	paper	NOUN
ijassa-426	17	3	by	by	ADP
ijassa-426	17	4	m.bac	m.bac	PROPN
ijassa-426	17	5	[	[	X
ijassa-426	17	6	8	8	NUM
ijassa-426	17	7	]	]	PUNCT
ijassa-426	17	8	continues	continue	VERB
ijassa-426	17	9	the	the	DET
ijassa-426	17	10	investigations	investigation	NOUN
ijassa-426	17	11	started	start	VERB
ijassa-426	17	12	by	by	ADP
ijassa-426	17	13	f.kofman	f.kofman	NOUN
ijassa-426	17	14	and	and	CCONJ
ijassa-426	17	15	j.lawarree	j.lawarree	PRON
ijassa-426	18	1	[	[	X
ijassa-426	18	2	9	9	NUM
ijassa-426	18	3	]	]	PUNCT
ijassa-426	18	4	and	and	CCONJ
ijassa-426	18	5	targeted	target	VERB
ijassa-426	18	6	to	to	ADP
ijassa-426	18	7	the	the	DET
ijassa-426	18	8	analysis	analysis	NOUN
ijassa-426	18	9	of	of	ADP
ijassa-426	18	10	corruption	corruption	NOUN
ijassa-426	18	11	in	in	ADP
ijassa-426	18	12	the	the	DET
ijassa-426	18	13	38	38	NUM
ijassa-426	18	14	andrey	andrey	PROPN
ijassa-426	18	15	v.	v.	ADP
ijassa-426	18	16	antonenko	antonenko	PROPN
ijassa-426	18	17	:	:	PUNCT
ijassa-426	18	18	static	static	ADJ
ijassa-426	18	19	models	model	NOUN
ijassa-426	18	20	of	of	ADP
ijassa-426	18	21	corruption	corruption	NOUN
ijassa-426	18	22	in	in	ADP
ijassa-426	18	23	hierarchical	hierarchical	ADJ
ijassa-426	18	24	systems	system	NOUN
ijassa-426	18	25	hierarchy	hierarchy	VERB
ijassa-426	18	26	principal	principal	ADJ
ijassa-426	18	27	controller	controller	NOUN
ijassa-426	18	28	agent	agent	NOUN
ijassa-426	18	29	.	.	PUNCT
ijassa-426	19	1	as	as	ADP
ijassa-426	19	2	an	an	DET
ijassa-426	19	3	extension	extension	NOUN
ijassa-426	19	4	of	of	ADP
ijassa-426	19	5	the	the	DET
ijassa-426	19	6	basic	basic	ADJ
ijassa-426	19	7	model	model	NOUN
ijassa-426	19	8	m.bac	m.bac	PROPN
ijassa-426	19	9	has	have	AUX
ijassa-426	19	10	built	build	VERB
ijassa-426	19	11	a	a	DET
ijassa-426	19	12	derivative	derivative	ADJ
ijassa-426	19	13	model	model	NOUN
ijassa-426	19	14	in	in	ADP
ijassa-426	19	15	which	which	PRON
ijassa-426	19	16	a	a	DET
ijassa-426	19	17	hierarchy	hierarchy	NOUN
ijassa-426	19	18	of	of	ADP
ijassa-426	19	19	homogeneous	homogeneous	ADJ
ijassa-426	19	20	agents	agent	NOUN
ijassa-426	19	21	is	be	AUX
ijassa-426	19	22	considered	consider	VERB
ijassa-426	19	23	instead	instead	ADV
ijassa-426	19	24	of	of	ADP
ijassa-426	19	25	one	one	NUM
ijassa-426	19	26	agent	agent	NOUN
ijassa-426	19	27	.	.	PUNCT
ijassa-426	20	1	the	the	DET
ijassa-426	20	2	papers	paper	NOUN
ijassa-426	20	3	[	[	X
ijassa-426	20	4	10	10	NUM
ijassa-426	20	5	-	-	SYM
ijassa-426	20	6	12	12	NUM
ijassa-426	20	7	]	]	PUNCT
ijassa-426	20	8	also	also	ADV
ijassa-426	20	9	refer	refer	VERB
ijassa-426	20	10	to	to	ADP
ijassa-426	20	11	this	this	DET
ijassa-426	20	12	class	class	NOUN
ijassa-426	20	13	.	.	PUNCT
ijassa-426	21	1	this	this	DET
ijassa-426	21	2	research	research	NOUN
ijassa-426	21	3	direction	direction	NOUN
ijassa-426	21	4	includes	include	VERB
ijassa-426	21	5	also	also	ADV
ijassa-426	21	6	the	the	DET
ijassa-426	21	7	works	work	NOUN
ijassa-426	21	8	dealing	deal	VERB
ijassa-426	21	9	with	with	ADP
ijassa-426	21	10	studies	study	NOUN
ijassa-426	21	11	of	of	ADP
ijassa-426	21	12	the	the	DET
ijassa-426	21	13	political	political	ADJ
ijassa-426	21	14	-	-	PUNCT
ijassa-426	21	15	economic	economic	ADJ
ijassa-426	21	16	corruption	corruption	NOUN
ijassa-426	21	17	,	,	PUNCT
ijassa-426	21	18	especially	especially	ADV
ijassa-426	21	19	in	in	ADP
ijassa-426	21	20	the	the	DET
ijassa-426	21	21	voting	voting	NOUN
ijassa-426	21	22	systems	system	NOUN
ijassa-426	21	23	[	[	X
ijassa-426	21	24	13	13	NUM
ijassa-426	21	25	-	-	SYM
ijassa-426	21	26	15	15	NUM
ijassa-426	21	27	]	]	PUNCT
ijassa-426	21	28	.	.	PUNCT
ijassa-426	22	1	problems	problem	NOUN
ijassa-426	22	2	of	of	ADP
ijassa-426	22	3	endemic	endemic	ADJ
ijassa-426	22	4	corruption	corruption	NOUN
ijassa-426	22	5	are	be	AUX
ijassa-426	22	6	discussed	discuss	VERB
ijassa-426	22	7	in	in	ADP
ijassa-426	22	8	the	the	DET
ijassa-426	22	9	papers	paper	NOUN
ijassa-426	22	10	[	[	X
ijassa-426	22	11	16	16	NUM
ijassa-426	22	12	-	-	SYM
ijassa-426	22	13	17	17	NUM
ijassa-426	22	14	]	]	PUNCT
ijassa-426	22	15	.	.	PUNCT
ijassa-426	23	1	in	in	ADP
ijassa-426	23	2	[	[	X
ijassa-426	23	3	18	18	NUM
ijassa-426	23	4	]	]	PUNCT
ijassa-426	23	5	a	a	DET
ijassa-426	23	6	game	game	NOUN
ijassa-426	23	7	theoretic	theoretic	NOUN
ijassa-426	23	8	model	model	NOUN
ijassa-426	23	9	predicts	predict	VERB
ijassa-426	23	10	that	that	SCONJ
ijassa-426	23	11	resource	resource	NOUN
ijassa-426	23	12	rents	rent	NOUN
ijassa-426	23	13	tend	tend	VERB
ijassa-426	23	14	to	to	ADP
ijassa-426	23	15	an	an	DET
ijassa-426	23	16	increase	increase	NOUN
ijassa-426	23	17	in	in	ADP
ijassa-426	23	18	corruption	corruption	NOUN
ijassa-426	23	19	if	if	SCONJ
ijassa-426	23	20	the	the	DET
ijassa-426	23	21	quality	quality	NOUN
ijassa-426	23	22	of	of	ADP
ijassa-426	23	23	the	the	DET
ijassa-426	23	24	democratic	democratic	ADJ
ijassa-426	23	25	institutions	institution	NOUN
ijassa-426	23	26	is	be	AUX
ijassa-426	23	27	relatively	relatively	ADV
ijassa-426	23	28	poor	poor	ADJ
ijassa-426	23	29	,	,	PUNCT
ijassa-426	23	30	but	but	CCONJ
ijassa-426	23	31	not	not	PART
ijassa-426	23	32	otherwise	otherwise	ADV
ijassa-426	23	33	.	.	PUNCT
ijassa-426	24	1	the	the	DET
ijassa-426	24	2	paper	paper	NOUN
ijassa-426	24	3	[	[	X
ijassa-426	24	4	19	19	NUM
ijassa-426	24	5	]	]	PUNCT
ijassa-426	24	6	investigates	investigate	VERB
ijassa-426	24	7	the	the	DET
ijassa-426	24	8	role	role	NOUN
ijassa-426	24	9	of	of	ADP
ijassa-426	24	10	guilt	guilt	NOUN
ijassa-426	24	11	aversion	aversion	NOUN
ijassa-426	24	12	in	in	ADP
ijassa-426	24	13	public	public	ADJ
ijassa-426	24	14	administration	administration	NOUN
ijassa-426	24	15	.	.	PUNCT
ijassa-426	25	1	the	the	DET
ijassa-426	25	2	authors	author	NOUN
ijassa-426	25	3	’	'	PUNCT
ijassa-426	25	4	approach	approach	NOUN
ijassa-426	25	5	to	to	ADP
ijassa-426	25	6	the	the	DET
ijassa-426	25	7	modeling	modeling	NOUN
ijassa-426	25	8	of	of	ADP
ijassa-426	25	9	corruption	corruption	NOUN
ijassa-426	25	10	is	be	AUX
ijassa-426	25	11	represented	represent	VERB
ijassa-426	25	12	in	in	ADP
ijassa-426	25	13	[	[	PUNCT
ijassa-426	25	14	20	20	NUM
ijassa-426	25	15	-	-	SYM
ijassa-426	25	16	21	21	NUM
ijassa-426	25	17	]	]	PUNCT
ijassa-426	25	18	.	.	PUNCT
ijassa-426	26	1	its	its	PRON
ijassa-426	26	2	essence	essence	NOUN
ijassa-426	26	3	consists	consist	VERB
ijassa-426	26	4	in	in	ADP
ijassa-426	26	5	the	the	DET
ijassa-426	26	6	following	follow	VERB
ijassa-426	26	7	principles	principle	NOUN
ijassa-426	26	8	.	.	PUNCT
ijassa-426	27	1	2	2	NUM
ijassa-426	27	2	principles	principle	NOUN
ijassa-426	27	3	of	of	ADP
ijassa-426	27	4	modeling	model	VERB
ijassa-426	27	5	twelve	twelve	NUM
ijassa-426	27	6	principles	principle	NOUN
ijassa-426	27	7	are	be	AUX
ijassa-426	27	8	used	use	VERB
ijassa-426	27	9	in	in	ADP
ijassa-426	27	10	building	building	NOUN
ijassa-426	27	11	of	of	ADP
ijassa-426	27	12	the	the	DET
ijassa-426	27	13	models	model	NOUN
ijassa-426	27	14	of	of	ADP
ijassa-426	27	15	corruption	corruption	NOUN
ijassa-426	27	16	.	.	PUNCT
ijassa-426	28	1	1	1	NUM
ijassa-426	28	2	)	)	PUNCT
ijassa-426	28	3	.	.	PUNCT
ijassa-426	29	1	the	the	DET
ijassa-426	29	2	basic	basic	ADJ
ijassa-426	29	3	modeling	modeling	NOUN
ijassa-426	29	4	pattern	pattern	NOUN
ijassa-426	29	5	is	be	AUX
ijassa-426	29	6	a	a	DET
ijassa-426	29	7	hierarchical	hierarchical	ADJ
ijassa-426	29	8	structure	structure	NOUN
ijassa-426	29	9	“	"	PUNCT
ijassa-426	29	10	principal	principal	ADJ
ijassa-426	29	11	supervisor	supervisor	NOUN
ijassa-426	29	12	agent	agent	NOUN
ijassa-426	29	13	object	object	NOUN
ijassa-426	29	14	”	"	PUNCT
ijassa-426	29	15	in	in	ADP
ijassa-426	29	16	different	different	ADJ
ijassa-426	29	17	modifications	modification	NOUN
ijassa-426	29	18	and	and	CCONJ
ijassa-426	29	19	its	its	PRON
ijassa-426	29	20	investigation	investigation	NOUN
ijassa-426	29	21	by	by	ADP
ijassa-426	29	22	means	mean	NOUN
ijassa-426	29	23	of	of	ADP
ijassa-426	29	24	the	the	DET
ijassa-426	29	25	optimization	optimization	NOUN
ijassa-426	29	26	theory	theory	NOUN
ijassa-426	29	27	and	and	CCONJ
ijassa-426	29	28	stackelberg	stackelberg	PROPN
ijassa-426	29	29	games	games	PROPN
ijassa-426	29	30	theory	theory	NOUN
ijassa-426	29	31	.	.	PUNCT
ijassa-426	30	1	in	in	ADP
ijassa-426	30	2	the	the	DET
ijassa-426	30	3	dynamic	dynamic	ADJ
ijassa-426	30	4	models	model	NOUN
ijassa-426	30	5	the	the	DET
ijassa-426	30	6	state	state	NOUN
ijassa-426	30	7	of	of	ADP
ijassa-426	30	8	the	the	DET
ijassa-426	30	9	object	object	NOUN
ijassa-426	30	10	is	be	AUX
ijassa-426	30	11	described	describe	VERB
ijassa-426	30	12	explicitly	explicitly	ADV
ijassa-426	30	13	while	while	SCONJ
ijassa-426	30	14	in	in	ADP
ijassa-426	30	15	the	the	DET
ijassa-426	30	16	static	static	ADJ
ijassa-426	30	17	models	model	NOUN
ijassa-426	30	18	only	only	ADV
ijassa-426	30	19	the	the	DET
ijassa-426	30	20	impact	impact	NOUN
ijassa-426	30	21	of	of	ADP
ijassa-426	30	22	the	the	DET
ijassa-426	30	23	agent	agent	NOUN
ijassa-426	30	24	to	to	ADP
ijassa-426	30	25	the	the	DET
ijassa-426	30	26	object	object	NOUN
ijassa-426	30	27	is	be	AUX
ijassa-426	30	28	considered	consider	VERB
ijassa-426	30	29	.	.	PUNCT
ijassa-426	31	1	the	the	DET
ijassa-426	31	2	supervisor	supervisor	NOUN
ijassa-426	31	3	may	may	AUX
ijassa-426	31	4	be	be	AUX
ijassa-426	31	5	corrupted	corrupt	VERB
ijassa-426	31	6	,	,	PUNCT
ijassa-426	31	7	while	while	SCONJ
ijassa-426	31	8	the	the	DET
ijassa-426	31	9	principal	principal	NOUN
ijassa-426	31	10	is	be	AUX
ijassa-426	31	11	not	not	PART
ijassa-426	31	12	corrupted	corrupt	VERB
ijassa-426	31	13	and	and	CCONJ
ijassa-426	31	14	controls	control	VERB
ijassa-426	31	15	corruption	corruption	NOUN
ijassa-426	31	16	.	.	PUNCT
ijassa-426	32	1	so	so	ADV
ijassa-426	32	2	the	the	DET
ijassa-426	32	3	elements	element	NOUN
ijassa-426	32	4	of	of	ADP
ijassa-426	32	5	the	the	DET
ijassa-426	32	6	above	above	ADJ
ijassa-426	32	7	structure	structure	NOUN
ijassa-426	32	8	are	be	AUX
ijassa-426	32	9	bribe	bribe	NOUN
ijassa-426	32	10	-	-	PUNCT
ijassa-426	32	11	controller	controller	NOUN
ijassa-426	32	12	,	,	PUNCT
ijassa-426	32	13	bribe	bribe	NOUN
ijassa-426	32	14	-	-	PUNCT
ijassa-426	32	15	taker	taker	NOUN
ijassa-426	32	16	,	,	PUNCT
ijassa-426	32	17	bribe	bribe	NOUN
ijassa-426	32	18	-	-	PUNCT
ijassa-426	32	19	giver	giver	NOUN
ijassa-426	32	20	and	and	CCONJ
ijassa-426	32	21	object	object	NOUN
ijassa-426	32	22	of	of	ADP
ijassa-426	32	23	impact	impact	NOUN
ijassa-426	32	24	respectively	respectively	ADV
ijassa-426	32	25	.	.	PUNCT
ijassa-426	33	1	2	2	NUM
ijassa-426	33	2	)	)	PUNCT
ijassa-426	33	3	.	.	PUNCT
ijassa-426	34	1	certain	certain	ADJ
ijassa-426	34	2	requirements	requirement	NOUN
ijassa-426	34	3	of	of	ADP
ijassa-426	34	4	the	the	DET
ijassa-426	34	5	sustainable	sustainable	ADJ
ijassa-426	34	6	development	development	NOUN
ijassa-426	34	7	of	of	ADP
ijassa-426	34	8	the	the	DET
ijassa-426	34	9	controlled	control	VERB
ijassa-426	34	10	system	system	NOUN
ijassa-426	34	11	(	(	PUNCT
ijassa-426	34	12	object	object	NOUN
ijassa-426	34	13	)	)	PUNCT
ijassa-426	34	14	are	be	AUX
ijassa-426	34	15	supposed	suppose	VERB
ijassa-426	34	16	to	to	PART
ijassa-426	34	17	be	be	AUX
ijassa-426	34	18	known	know	VERB
ijassa-426	34	19	.	.	PUNCT
ijassa-426	35	1	in	in	ADP
ijassa-426	35	2	the	the	DET
ijassa-426	35	3	dynamic	dynamic	ADJ
ijassa-426	35	4	models	model	NOUN
ijassa-426	35	5	they	they	PRON
ijassa-426	35	6	are	be	AUX
ijassa-426	35	7	formulated	formulate	VERB
ijassa-426	35	8	in	in	ADP
ijassa-426	35	9	terms	term	NOUN
ijassa-426	35	10	of	of	ADP
ijassa-426	35	11	the	the	DET
ijassa-426	35	12	object	object	NOUN
ijassa-426	35	13	’s	’s	PART
ijassa-426	35	14	state	state	NOUN
ijassa-426	35	15	while	while	SCONJ
ijassa-426	35	16	in	in	ADP
ijassa-426	35	17	the	the	DET
ijassa-426	35	18	static	static	ADJ
ijassa-426	35	19	ones	one	NOUN
ijassa-426	35	20	in	in	ADP
ijassa-426	35	21	terms	term	NOUN
ijassa-426	35	22	of	of	ADP
ijassa-426	35	23	the	the	DET
ijassa-426	35	24	agent	agent	NOUN
ijassa-426	35	25	’s	’s	PART
ijassa-426	35	26	impact	impact	NOUN
ijassa-426	35	27	to	to	ADP
ijassa-426	35	28	the	the	DET
ijassa-426	35	29	object	object	NOUN
ijassa-426	35	30	.	.	PUNCT
ijassa-426	36	1	if	if	SCONJ
ijassa-426	36	2	the	the	DET
ijassa-426	36	3	requirements	requirement	NOUN
ijassa-426	36	4	of	of	ADP
ijassa-426	36	5	sustainable	sustainable	ADJ
ijassa-426	36	6	development	development	NOUN
ijassa-426	36	7	are	be	AUX
ijassa-426	36	8	satisfied	satisfied	ADJ
ijassa-426	36	9	then	then	ADV
ijassa-426	36	10	the	the	DET
ijassa-426	36	11	principal	principal	NOUN
ijassa-426	36	12	’s	’s	PART
ijassa-426	36	13	control	control	NOUN
ijassa-426	36	14	problem	problem	NOUN
ijassa-426	36	15	is	be	AUX
ijassa-426	36	16	assumed	assume	VERB
ijassa-426	36	17	to	to	PART
ijassa-426	36	18	be	be	AUX
ijassa-426	36	19	solved	solve	VERB
ijassa-426	36	20	even	even	ADV
ijassa-426	36	21	if	if	SCONJ
ijassa-426	36	22	corruption	corruption	NOUN
ijassa-426	36	23	exists	exist	VERB
ijassa-426	36	24	.	.	PUNCT
ijassa-426	37	1	3	3	NUM
ijassa-426	37	2	)	)	PUNCT
ijassa-426	37	3	.	.	PUNCT
ijassa-426	38	1	both	both	DET
ijassa-426	38	2	pairs	pair	NOUN
ijassa-426	38	3	“	"	PUNCT
ijassa-426	38	4	principal	principal	ADJ
ijassa-426	38	5	supervisor	supervisor	NOUN
ijassa-426	38	6	”	"	PUNCT
ijassa-426	38	7	and	and	CCONJ
ijassa-426	38	8	“	"	PUNCT
ijassa-426	38	9	supervisor	supervisor	NOUN
ijassa-426	38	10	agent	agent	NOUN
ijassa-426	38	11	”	"	PUNCT
ijassa-426	38	12	are	be	AUX
ijassa-426	38	13	in	in	ADP
ijassa-426	38	14	the	the	DET
ijassa-426	38	15	relations	relation	NOUN
ijassa-426	38	16	“	"	PUNCT
ijassa-426	38	17	leader	leader	NOUN
ijassa-426	38	18	follower	follower	NOUN
ijassa-426	38	19	”	"	PUNCT
ijassa-426	38	20	.	.	PUNCT
ijassa-426	39	1	the	the	DET
ijassa-426	39	2	leading	lead	VERB
ijassa-426	39	3	player	player	NOUN
ijassa-426	39	4	on	on	ADP
ijassa-426	39	5	any	any	DET
ijassa-426	39	6	level	level	NOUN
ijassa-426	39	7	(	(	PUNCT
ijassa-426	39	8	principal	principal	NOUN
ijassa-426	39	9	or	or	CCONJ
ijassa-426	39	10	supervisor	supervisor	NOUN
ijassa-426	39	11	respectively	respectively	ADV
ijassa-426	39	12	)	)	PUNCT
ijassa-426	39	13	uses	use	VERB
ijassa-426	39	14	methods	method	NOUN
ijassa-426	39	15	of	of	ADP
ijassa-426	39	16	compulsion	compulsion	NOUN
ijassa-426	39	17	(	(	PUNCT
ijassa-426	39	18	administrative	administrative	ADJ
ijassa-426	39	19	or	or	CCONJ
ijassa-426	39	20	legislative	legislative	ADJ
ijassa-426	39	21	impacts	impact	NOUN
ijassa-426	39	22	)	)	PUNCT
ijassa-426	39	23	or	or	CCONJ
ijassa-426	39	24	impulsion	impulsion	NOUN
ijassa-426	39	25	(	(	PUNCT
ijassa-426	39	26	economic	economic	ADJ
ijassa-426	39	27	impacts	impact	NOUN
ijassa-426	39	28	)	)	PUNCT
ijassa-426	39	29	for	for	ADP
ijassa-426	39	30	achievement	achievement	NOUN
ijassa-426	39	31	of	of	ADP
ijassa-426	39	32	his	his	PRON
ijassa-426	39	33	/	/	SYM
ijassa-426	39	34	her	her	PRON
ijassa-426	39	35	objectives	objective	NOUN
ijassa-426	39	36	.	.	PUNCT
ijassa-426	40	1	the	the	DET
ijassa-426	40	2	mathematical	mathematical	ADJ
ijassa-426	40	3	formalization	formalization	NOUN
ijassa-426	40	4	of	of	ADP
ijassa-426	40	5	compulsion	compulsion	NOUN
ijassa-426	40	6	means	mean	VERB
ijassa-426	40	7	an	an	DET
ijassa-426	40	8	impact	impact	NOUN
ijassa-426	40	9	of	of	ADP
ijassa-426	40	10	the	the	DET
ijassa-426	40	11	leader	leader	NOUN
ijassa-426	40	12	to	to	ADP
ijassa-426	40	13	the	the	DET
ijassa-426	40	14	set	set	NOUN
ijassa-426	40	15	of	of	ADP
ijassa-426	40	16	admissible	admissible	ADJ
ijassa-426	40	17	strategies	strategy	NOUN
ijassa-426	40	18	of	of	ADP
ijassa-426	40	19	the	the	DET
ijassa-426	40	20	follower	follower	NOUN
ijassa-426	40	21	(	(	PUNCT
ijassa-426	40	22	as	as	ADP
ijassa-426	40	23	a	a	DET
ijassa-426	40	24	rule	rule	NOUN
ijassa-426	40	25	,	,	PUNCT
ijassa-426	40	26	without	without	ADP
ijassa-426	40	27	a	a	DET
ijassa-426	40	28	feed	feed	NOUN
ijassa-426	40	29	back	back	ADV
ijassa-426	40	30	)	)	PUNCT
ijassa-426	40	31	,	,	PUNCT
ijassa-426	40	32	and	and	CCONJ
ijassa-426	40	33	impulsion	impulsion	NOUN
ijassa-426	40	34	means	mean	VERB
ijassa-426	40	35	the	the	DET
ijassa-426	40	36	impact	impact	NOUN
ijassa-426	40	37	to	to	ADP
ijassa-426	40	38	the	the	DET
ijassa-426	40	39	follower	follower	NOUN
ijassa-426	40	40	’s	’s	PART
ijassa-426	40	41	payoff	payoff	NOUN
ijassa-426	40	42	function	function	NOUN
ijassa-426	40	43	(	(	PUNCT
ijassa-426	40	44	as	as	ADP
ijassa-426	40	45	a	a	DET
ijassa-426	40	46	rule	rule	NOUN
ijassa-426	40	47	,	,	PUNCT
ijassa-426	40	48	with	with	ADP
ijassa-426	40	49	a	a	DET
ijassa-426	40	50	feed	feed	NOUN
ijassa-426	40	51	back	back	ADP
ijassa-426	40	52	)	)	PUNCT
ijassa-426	41	1	[	[	X
ijassa-426	41	2	20	20	NUM
ijassa-426	41	3	]	]	PUNCT
ijassa-426	41	4	.	.	PUNCT
ijassa-426	42	1	4	4	NUM
ijassa-426	42	2	)	)	PUNCT
ijassa-426	42	3	.	.	PUNCT
ijassa-426	43	1	the	the	DET
ijassa-426	43	2	cases	case	NOUN
ijassa-426	43	3	of	of	ADP
ijassa-426	43	4	administrative	administrative	ADJ
ijassa-426	43	5	corruption	corruption	NOUN
ijassa-426	43	6	when	when	SCONJ
ijassa-426	43	7	administrative	administrative	ADJ
ijassa-426	43	8	requirements	requirement	NOUN
ijassa-426	43	9	or	or	CCONJ
ijassa-426	43	10	constraints	constraint	NOUN
ijassa-426	43	11	are	be	AUX
ijassa-426	43	12	weakened	weaken	VERB
ijassa-426	43	13	for	for	ADP
ijassa-426	43	14	a	a	DET
ijassa-426	43	15	bribe	bribe	NOUN
ijassa-426	43	16	and	and	CCONJ
ijassa-426	43	17	the	the	DET
ijassa-426	43	18	economic	economic	ADJ
ijassa-426	43	19	corruption	corruption	NOUN
ijassa-426	43	20	when	when	SCONJ
ijassa-426	43	21	the	the	DET
ijassa-426	43	22	economic	economic	ADJ
ijassa-426	43	23	ones	one	NOUN
ijassa-426	43	24	are	be	AUX
ijassa-426	43	25	weakened	weaken	VERB
ijassa-426	43	26	by	by	ADP
ijassa-426	43	27	corruption	corruption	NOUN
ijassa-426	43	28	are	be	AUX
ijassa-426	43	29	differentiated	differentiate	VERB
ijassa-426	43	30	.	.	PUNCT
ijassa-426	44	1	the	the	DET
ijassa-426	44	2	model	model	NOUN
ijassa-426	44	3	of	of	ADP
ijassa-426	44	4	administrative	administrative	ADJ
ijassa-426	44	5	corruption	corruption	NOUN
ijassa-426	44	6	describes	describe	VERB
ijassa-426	44	7	compulsion	compulsion	NOUN
ijassa-426	44	8	of	of	ADP
ijassa-426	44	9	the	the	DET
ijassa-426	44	10	agent	agent	NOUN
ijassa-426	44	11	by	by	ADP
ijassa-426	44	12	the	the	DET
ijassa-426	44	13	supervisor	supervisor	NOUN
ijassa-426	44	14	with	with	ADP
ijassa-426	44	15	advances	advance	NOUN
ijassa-426	44	16	in	in	ADP
ijassa-426	44	17	systems	system	NOUN
ijassa-426	44	18	science	science	NOUN
ijassa-426	44	19	and	and	CCONJ
ijassa-426	44	20	applications	application	NOUN
ijassa-426	44	21	(	(	PUNCT
ijassa-426	44	22	2013	2013	NUM
ijassa-426	44	23	)	)	PUNCT
ijassa-426	44	24	vol.13	vol.13	NOUN
ijassa-426	44	25	no.1	no.1	X
ijassa-426	44	26	39	39	NUM
ijassa-426	44	27	a	a	DET
ijassa-426	44	28	feed	feed	NOUN
ijassa-426	44	29	back	back	ADV
ijassa-426	44	30	on	on	ADP
ijassa-426	44	31	bribe	bribe	NOUN
ijassa-426	44	32	,	,	PUNCT
ijassa-426	44	33	and	and	CCONJ
ijassa-426	44	34	the	the	DET
ijassa-426	44	35	model	model	NOUN
ijassa-426	44	36	of	of	ADP
ijassa-426	44	37	economic	economic	ADJ
ijassa-426	44	38	corruption	corruption	NOUN
ijassa-426	44	39	describes	describe	VERB
ijassa-426	44	40	impulsion	impulsion	NOUN
ijassa-426	44	41	in	in	ADP
ijassa-426	44	42	that	that	DET
ijassa-426	44	43	pair	pair	NOUN
ijassa-426	44	44	with	with	ADP
ijassa-426	44	45	an	an	DET
ijassa-426	44	46	additional	additional	ADJ
ijassa-426	44	47	feed	feed	NOUN
ijassa-426	44	48	back	back	ADV
ijassa-426	44	49	on	on	ADP
ijassa-426	44	50	bribe	bribe	NOUN
ijassa-426	44	51	.	.	PUNCT
ijassa-426	45	1	5	5	NUM
ijassa-426	45	2	)	)	PUNCT
ijassa-426	45	3	.	.	PUNCT
ijassa-426	46	1	corruption	corruption	NOUN
ijassa-426	46	2	threatens	threaten	VERB
ijassa-426	46	3	to	to	ADP
ijassa-426	46	4	the	the	DET
ijassa-426	46	5	object	object	NOUN
ijassa-426	46	6	’s	’s	PART
ijassa-426	46	7	sustainable	sustainable	ADJ
ijassa-426	46	8	development	development	NOUN
ijassa-426	46	9	because	because	SCONJ
ijassa-426	46	10	it	it	PRON
ijassa-426	46	11	is	be	AUX
ijassa-426	46	12	profitable	profitable	ADJ
ijassa-426	46	13	for	for	SCONJ
ijassa-426	46	14	the	the	DET
ijassa-426	46	15	bribe	bribe	NOUN
ijassa-426	46	16	-	-	PUNCT
ijassa-426	46	17	taker	taker	NOUN
ijassa-426	46	18	to	to	PART
ijassa-426	46	19	weaken	weaken	VERB
ijassa-426	46	20	the	the	DET
ijassa-426	46	21	requirements	requirement	NOUN
ijassa-426	46	22	of	of	ADP
ijassa-426	46	23	sustainable	sustainable	ADJ
ijassa-426	46	24	development	development	NOUN
ijassa-426	46	25	in	in	ADP
ijassa-426	46	26	exchange	exchange	NOUN
ijassa-426	46	27	for	for	ADP
ijassa-426	46	28	a	a	DET
ijassa-426	46	29	bribe	bribe	NOUN
ijassa-426	46	30	.	.	PUNCT
ijassa-426	47	1	from	from	ADP
ijassa-426	47	2	the	the	DET
ijassa-426	47	3	other	other	ADJ
ijassa-426	47	4	side	side	NOUN
ijassa-426	47	5	,	,	PUNCT
ijassa-426	47	6	corruption	corruption	NOUN
ijassa-426	47	7	is	be	AUX
ijassa-426	47	8	a	a	DET
ijassa-426	47	9	specific	specific	ADJ
ijassa-426	47	10	form	form	NOUN
ijassa-426	47	11	of	of	ADP
ijassa-426	47	12	a	a	DET
ijassa-426	47	13	feedback	feedback	NOUN
ijassa-426	47	14	in	in	ADP
ijassa-426	47	15	the	the	DET
ijassa-426	47	16	hierarchical	hierarchical	ADJ
ijassa-426	47	17	systems	system	NOUN
ijassa-426	47	18	subject	subject	ADJ
ijassa-426	47	19	to	to	ADP
ijassa-426	47	20	which	which	PRON
ijassa-426	47	21	the	the	DET
ijassa-426	47	22	control	control	NOUN
ijassa-426	47	23	variables	variable	NOUN
ijassa-426	47	24	become	become	VERB
ijassa-426	47	25	the	the	DET
ijassa-426	47	26	functions	function	NOUN
ijassa-426	47	27	of	of	ADP
ijassa-426	47	28	bribe	bribe	NOUN
ijassa-426	47	29	.	.	PUNCT
ijassa-426	48	1	6	6	NUM
ijassa-426	48	2	)	)	PUNCT
ijassa-426	48	3	.	.	PUNCT
ijassa-426	49	1	corruption	corruption	NOUN
ijassa-426	49	2	exists	exist	VERB
ijassa-426	49	3	in	in	ADP
ijassa-426	49	4	the	the	DET
ijassa-426	49	5	forms	form	NOUN
ijassa-426	49	6	of	of	ADP
ijassa-426	49	7	capture	capture	NOUN
ijassa-426	49	8	and	and	CCONJ
ijassa-426	49	9	extortion	extortion	NOUN
ijassa-426	49	10	.	.	PUNCT
ijassa-426	50	1	in	in	ADP
ijassa-426	50	2	the	the	DET
ijassa-426	50	3	case	case	NOUN
ijassa-426	50	4	of	of	ADP
ijassa-426	50	5	capture	capture	NOUN
ijassa-426	50	6	a	a	DET
ijassa-426	50	7	basic	basic	ADJ
ijassa-426	50	8	set	set	NOUN
ijassa-426	50	9	of	of	ADP
ijassa-426	50	10	administrative	administrative	ADJ
ijassa-426	50	11	or	or	CCONJ
ijassa-426	50	12	economic	economic	ADJ
ijassa-426	50	13	services	service	NOUN
ijassa-426	50	14	is	be	AUX
ijassa-426	50	15	guaranteed	guarantee	VERB
ijassa-426	50	16	while	while	SCONJ
ijassa-426	50	17	additional	additional	ADJ
ijassa-426	50	18	indulgences	indulgence	NOUN
ijassa-426	50	19	are	be	AUX
ijassa-426	50	20	provided	provide	VERB
ijassa-426	50	21	for	for	ADP
ijassa-426	50	22	a	a	DET
ijassa-426	50	23	bribe	bribe	NOUN
ijassa-426	50	24	.	.	PUNCT
ijassa-426	51	1	in	in	ADP
ijassa-426	51	2	the	the	DET
ijassa-426	51	3	case	case	NOUN
ijassa-426	51	4	of	of	ADP
ijassa-426	51	5	extortion	extortion	NOUN
ijassa-426	51	6	a	a	DET
ijassa-426	51	7	bribe	bribe	NOUN
ijassa-426	51	8	is	be	AUX
ijassa-426	51	9	required	require	VERB
ijassa-426	51	10	already	already	ADV
ijassa-426	51	11	for	for	ADP
ijassa-426	51	12	the	the	DET
ijassa-426	51	13	basic	basic	ADJ
ijassa-426	51	14	set	set	NOUN
ijassa-426	51	15	of	of	ADP
ijassa-426	51	16	services	service	NOUN
ijassa-426	51	17	,	,	PUNCT
ijassa-426	51	18	otherwise	otherwise	ADV
ijassa-426	51	19	the	the	DET
ijassa-426	51	20	requirements	requirement	NOUN
ijassa-426	51	21	are	be	AUX
ijassa-426	51	22	enhanced	enhance	VERB
ijassa-426	51	23	.	.	PUNCT
ijassa-426	52	1	7	7	NUM
ijassa-426	52	2	)	)	PUNCT
ijassa-426	52	3	.	.	PUNCT
ijassa-426	53	1	the	the	DET
ijassa-426	53	2	bribe	bribe	NOUN
ijassa-426	53	3	-	-	PUNCT
ijassa-426	53	4	taker	taker	NOUN
ijassa-426	53	5	’s	’s	PART
ijassa-426	53	6	behavior	behavior	NOUN
ijassa-426	53	7	is	be	AUX
ijassa-426	53	8	characterized	characterize	VERB
ijassa-426	53	9	by	by	ADP
ijassa-426	53	10	tractability	tractability	NOUN
ijassa-426	53	11	(	(	PUNCT
ijassa-426	53	12	a	a	DET
ijassa-426	53	13	willingness	willingness	NOUN
ijassa-426	53	14	to	to	PART
ijassa-426	53	15	weaken	weaken	VERB
ijassa-426	53	16	the	the	DET
ijassa-426	53	17	administrative	administrative	ADJ
ijassa-426	53	18	or	or	CCONJ
ijassa-426	53	19	economic	economic	ADJ
ijassa-426	53	20	constraints	constraint	NOUN
ijassa-426	53	21	in	in	ADP
ijassa-426	53	22	exchange	exchange	NOUN
ijassa-426	53	23	for	for	ADP
ijassa-426	53	24	a	a	DET
ijassa-426	53	25	bribe	bribe	NOUN
ijassa-426	53	26	)	)	PUNCT
ijassa-426	53	27	and	and	CCONJ
ijassa-426	53	28	greed	greed	NOUN
ijassa-426	53	29	(	(	PUNCT
ijassa-426	53	30	a	a	DET
ijassa-426	53	31	price	price	NOUN
ijassa-426	53	32	of	of	ADP
ijassa-426	53	33	the	the	DET
ijassa-426	53	34	weakening	weakening	NOUN
ijassa-426	53	35	)	)	PUNCT
ijassa-426	53	36	.	.	PUNCT
ijassa-426	54	1	a	a	DET
ijassa-426	54	2	set	set	NOUN
ijassa-426	54	3	of	of	ADP
ijassa-426	54	4	quantitative	quantitative	ADJ
ijassa-426	54	5	indicators	indicator	NOUN
ijassa-426	54	6	of	of	ADP
ijassa-426	54	7	tractability	tractability	NOUN
ijassa-426	54	8	and	and	CCONJ
ijassa-426	54	9	greed	greed	NOUN
ijassa-426	54	10	is	be	AUX
ijassa-426	54	11	developed	develop	VERB
ijassa-426	54	12	.	.	PUNCT
ijassa-426	55	1	8)	8)	X
ijassa-426	55	2	.	.	PUNCT
ijassa-426	56	1	the	the	DET
ijassa-426	56	2	bribe	bribe	NOUN
ijassa-426	56	3	may	may	AUX
ijassa-426	56	4	represent	represent	VERB
ijassa-426	56	5	a	a	DET
ijassa-426	56	6	part	part	NOUN
ijassa-426	56	7	of	of	ADP
ijassa-426	56	8	the	the	DET
ijassa-426	56	9	payoff	payoff	NOUN
ijassa-426	56	10	received	receive	VERB
ijassa-426	56	11	by	by	ADP
ijassa-426	56	12	the	the	DET
ijassa-426	56	13	agent	agent	NOUN
ijassa-426	56	14	subject	subject	NOUN
ijassa-426	56	15	to	to	ADP
ijassa-426	56	16	the	the	DET
ijassa-426	56	17	administrative	administrative	ADJ
ijassa-426	56	18	or	or	CCONJ
ijassa-426	56	19	economic	economic	ADJ
ijassa-426	56	20	indulgences	indulgence	NOUN
ijassa-426	56	21	or	or	CCONJ
ijassa-426	56	22	an	an	DET
ijassa-426	56	23	absolute	absolute	ADJ
ijassa-426	56	24	sum	sum	NOUN
ijassa-426	56	25	.	.	PUNCT
ijassa-426	57	1	in	in	ADP
ijassa-426	57	2	both	both	DET
ijassa-426	57	3	cases	case	NOUN
ijassa-426	57	4	it	it	PRON
ijassa-426	57	5	is	be	AUX
ijassa-426	57	6	convenient	convenient	ADJ
ijassa-426	57	7	to	to	PART
ijassa-426	57	8	suppose	suppose	VERB
ijassa-426	57	9	the	the	DET
ijassa-426	57	10	bribe	bribe	NOUN
ijassa-426	57	11	variable	variable	NOUN
ijassa-426	57	12	to	to	PART
ijassa-426	57	13	be	be	AUX
ijassa-426	57	14	a	a	DET
ijassa-426	57	15	part	part	NOUN
ijassa-426	57	16	of	of	ADP
ijassa-426	57	17	the	the	DET
ijassa-426	57	18	corrupted	corrupted	ADJ
ijassa-426	57	19	payoff	payoff	NOUN
ijassa-426	57	20	or	or	CCONJ
ijassa-426	57	21	the	the	DET
ijassa-426	57	22	whole	whole	ADJ
ijassa-426	57	23	agent	agent	NOUN
ijassa-426	57	24	’s	’s	PART
ijassa-426	57	25	income	income	NOUN
ijassa-426	57	26	respectively	respectively	ADV
ijassa-426	57	27	.	.	PUNCT
ijassa-426	58	1	9	9	NUM
ijassa-426	58	2	)	)	PUNCT
ijassa-426	58	3	.	.	PUNCT
ijassa-426	59	1	for	for	ADP
ijassa-426	59	2	studying	study	VERB
ijassa-426	59	3	corruption	corruption	NOUN
ijassa-426	59	4	in	in	ADP
ijassa-426	59	5	hierarchical	hierarchical	ADJ
ijassa-426	59	6	control	control	NOUN
ijassa-426	59	7	systems	system	NOUN
ijassa-426	59	8	with	with	ADP
ijassa-426	59	9	consideration	consideration	NOUN
ijassa-426	59	10	of	of	ADP
ijassa-426	59	11	the	the	DET
ijassa-426	59	12	requirements	requirement	NOUN
ijassa-426	59	13	of	of	ADP
ijassa-426	59	14	sustainable	sustainable	ADJ
ijassa-426	59	15	development	development	NOUN
ijassa-426	59	16	both	both	CCONJ
ijassa-426	59	17	descriptive	descriptive	ADJ
ijassa-426	59	18	and	and	CCONJ
ijassa-426	59	19	normative	normative	ADJ
ijassa-426	59	20	approaches	approach	NOUN
ijassa-426	59	21	are	be	AUX
ijassa-426	59	22	applicable	applicable	ADJ
ijassa-426	59	23	.	.	PUNCT
ijassa-426	60	1	in	in	ADP
ijassa-426	60	2	the	the	DET
ijassa-426	60	3	case	case	NOUN
ijassa-426	60	4	of	of	ADP
ijassa-426	60	5	descriptive	descriptive	ADJ
ijassa-426	60	6	approach	approach	NOUN
ijassa-426	60	7	the	the	DET
ijassa-426	60	8	functions	function	NOUN
ijassa-426	60	9	of	of	ADP
ijassa-426	60	10	administrative	administrative	ADJ
ijassa-426	60	11	and	and	CCONJ
ijassa-426	60	12	economic	economic	ADJ
ijassa-426	60	13	corruption	corruption	NOUN
ijassa-426	60	14	are	be	AUX
ijassa-426	60	15	given	give	VERB
ijassa-426	60	16	,	,	PUNCT
ijassa-426	60	17	and	and	CCONJ
ijassa-426	60	18	the	the	DET
ijassa-426	60	19	main	main	ADJ
ijassa-426	60	20	problem	problem	NOUN
ijassa-426	60	21	is	be	AUX
ijassa-426	60	22	to	to	PART
ijassa-426	60	23	identify	identify	VERB
ijassa-426	60	24	their	their	PRON
ijassa-426	60	25	parameters	parameter	NOUN
ijassa-426	60	26	on	on	ADP
ijassa-426	60	27	statistical	statistical	ADJ
ijassa-426	60	28	data	datum	NOUN
ijassa-426	60	29	.	.	PUNCT
ijassa-426	61	1	in	in	ADP
ijassa-426	61	2	the	the	DET
ijassa-426	61	3	case	case	NOUN
ijassa-426	61	4	of	of	ADP
ijassa-426	61	5	normative	normative	ADJ
ijassa-426	61	6	approach	approach	NOUN
ijassa-426	61	7	the	the	DET
ijassa-426	61	8	corruption	corruption	NOUN
ijassa-426	61	9	(	(	PUNCT
ijassa-426	61	10	bribery	bribery	NOUN
ijassa-426	61	11	)	)	PUNCT
ijassa-426	61	12	function	function	NOUN
ijassa-426	61	13	is	be	AUX
ijassa-426	61	14	found	find	VERB
ijassa-426	61	15	as	as	ADP
ijassa-426	61	16	the	the	DET
ijassa-426	61	17	solution	solution	NOUN
ijassa-426	61	18	of	of	ADP
ijassa-426	61	19	an	an	DET
ijassa-426	61	20	optimization	optimization	NOUN
ijassa-426	61	21	or	or	CCONJ
ijassa-426	61	22	game	game	NOUN
ijassa-426	61	23	theoretic	theoretic	NOUN
ijassa-426	61	24	problem	problem	NOUN
ijassa-426	61	25	.	.	PUNCT
ijassa-426	62	1	10	10	NUM
ijassa-426	62	2	)	)	PUNCT
ijassa-426	62	3	.	.	PUNCT
ijassa-426	63	1	the	the	DET
ijassa-426	63	2	investigation	investigation	NOUN
ijassa-426	63	3	of	of	ADP
ijassa-426	63	4	corruption	corruption	NOUN
ijassa-426	63	5	in	in	ADP
ijassa-426	63	6	the	the	DET
ijassa-426	63	7	system	system	NOUN
ijassa-426	63	8	“	"	PUNCT
ijassa-426	63	9	principal	principal	ADJ
ijassa-426	63	10	-	-	PUNCT
ijassa-426	63	11	supervisor	supervisor	NOUN
ijassa-426	63	12	-	-	PUNCT
ijassa-426	63	13	agentobject	agentobject	NOUN
ijassa-426	63	14	”	"	PUNCT
ijassa-426	63	15	is	be	AUX
ijassa-426	63	16	possible	possible	ADJ
ijassa-426	63	17	from	from	ADP
ijassa-426	63	18	three	three	NUM
ijassa-426	63	19	points	point	NOUN
ijassa-426	63	20	of	of	ADP
ijassa-426	63	21	view	view	NOUN
ijassa-426	63	22	.	.	PUNCT
ijassa-426	64	1	if	if	SCONJ
ijassa-426	64	2	the	the	DET
ijassa-426	64	3	bribery	bribery	NOUN
ijassa-426	64	4	function	function	NOUN
ijassa-426	64	5	is	be	AUX
ijassa-426	64	6	known	know	VERB
ijassa-426	64	7	then	then	ADV
ijassa-426	64	8	from	from	ADP
ijassa-426	64	9	the	the	DET
ijassa-426	64	10	point	point	NOUN
ijassa-426	64	11	of	of	ADP
ijassa-426	64	12	view	view	NOUN
ijassa-426	64	13	of	of	ADP
ijassa-426	64	14	the	the	DET
ijassa-426	64	15	agent	agent	NOUN
ijassa-426	64	16	the	the	DET
ijassa-426	64	17	corruption	corruption	NOUN
ijassa-426	64	18	can	can	AUX
ijassa-426	64	19	be	be	AUX
ijassa-426	64	20	described	describe	VERB
ijassa-426	64	21	by	by	ADP
ijassa-426	64	22	an	an	DET
ijassa-426	64	23	optimization	optimization	NOUN
ijassa-426	64	24	model	model	NOUN
ijassa-426	64	25	.	.	PUNCT
ijassa-426	65	1	from	from	ADP
ijassa-426	65	2	the	the	DET
ijassa-426	65	3	supervisor	supervisor	NOUN
ijassa-426	65	4	’s	’s	PART
ijassa-426	65	5	point	point	NOUN
ijassa-426	65	6	of	of	ADP
ijassa-426	65	7	view	view	NOUN
ijassa-426	65	8	a	a	DET
ijassa-426	65	9	hierarchical	hierarchical	ADJ
ijassa-426	65	10	parametrical	parametrical	ADJ
ijassa-426	65	11	game	game	NOUN
ijassa-426	65	12	of	of	ADP
ijassa-426	65	13	the	the	DET
ijassa-426	65	14	class	class	NOUN
ijassa-426	65	15	γ2	γ2	NOUN
ijassa-426	65	16	arises	arise	VERB
ijassa-426	65	17	which	which	DET
ijassa-426	65	18	solution	solution	NOUN
ijassa-426	65	19	in	in	ADP
ijassa-426	65	20	the	the	DET
ijassa-426	65	21	form	form	NOUN
ijassa-426	65	22	of	of	ADP
ijassa-426	65	23	bribery	bribery	NOUN
ijassa-426	65	24	function	function	NOUN
ijassa-426	65	25	with	with	ADP
ijassa-426	65	26	a	a	DET
ijassa-426	65	27	feedback	feedback	NOUN
ijassa-426	65	28	on	on	ADP
ijassa-426	65	29	the	the	DET
ijassa-426	65	30	value	value	NOUN
ijassa-426	65	31	of	of	ADP
ijassa-426	65	32	bribe	bribe	NOUN
ijassa-426	65	33	is	be	AUX
ijassa-426	65	34	known	know	VERB
ijassa-426	65	35	in	in	ADP
ijassa-426	65	36	a	a	DET
ijassa-426	65	37	general	general	ADJ
ijassa-426	65	38	form	form	NOUN
ijassa-426	65	39	[	[	X
ijassa-426	65	40	22	22	NUM
ijassa-426	65	41	,	,	PUNCT
ijassa-426	65	42	see	see	VERB
ijassa-426	65	43	appendix	appendix	NOUN
ijassa-426	65	44	]	]	PUNCT
ijassa-426	65	45	.	.	PUNCT
ijassa-426	66	1	from	from	ADP
ijassa-426	66	2	the	the	DET
ijassa-426	66	3	point	point	NOUN
ijassa-426	66	4	of	of	ADP
ijassa-426	66	5	view	view	NOUN
ijassa-426	66	6	of	of	ADP
ijassa-426	66	7	the	the	DET
ijassa-426	66	8	principal	principal	NOUN
ijassa-426	66	9	the	the	DET
ijassa-426	66	10	problem	problem	NOUN
ijassa-426	66	11	of	of	ADP
ijassa-426	66	12	corruption	corruption	NOUN
ijassa-426	66	13	control	control	NOUN
ijassa-426	66	14	consists	consist	VERB
ijassa-426	66	15	in	in	ADP
ijassa-426	66	16	seeking	seek	VERB
ijassa-426	66	17	of	of	ADP
ijassa-426	66	18	such	such	ADJ
ijassa-426	66	19	values	value	NOUN
ijassa-426	66	20	of	of	ADP
ijassa-426	66	21	control	control	NOUN
ijassa-426	66	22	variables	variable	NOUN
ijassa-426	66	23	that	that	SCONJ
ijassa-426	66	24	the	the	DET
ijassa-426	66	25	found	find	VERB
ijassa-426	66	26	optimal	optimal	ADJ
ijassa-426	66	27	strategy	strategy	NOUN
ijassa-426	66	28	of	of	ADP
ijassa-426	66	29	the	the	DET
ijassa-426	66	30	supervisor	supervisor	NOUN
ijassa-426	66	31	satisfies	satisfy	VERB
ijassa-426	66	32	the	the	DET
ijassa-426	66	33	requirements	requirement	NOUN
ijassa-426	66	34	of	of	ADP
ijassa-426	66	35	sustainable	sustainable	ADJ
ijassa-426	66	36	development	development	NOUN
ijassa-426	66	37	.	.	PUNCT
ijassa-426	67	1	11	11	NUM
ijassa-426	67	2	)	)	PUNCT
ijassa-426	67	3	.	.	PUNCT
ijassa-426	68	1	the	the	DET
ijassa-426	68	2	identification	identification	NOUN
ijassa-426	68	3	problem	problem	NOUN
ijassa-426	68	4	in	in	ADP
ijassa-426	68	5	this	this	DET
ijassa-426	68	6	domain	domain	NOUN
ijassa-426	68	7	is	be	AUX
ijassa-426	68	8	not	not	PART
ijassa-426	68	9	at	at	ADV
ijassa-426	68	10	all	all	ADV
ijassa-426	68	11	trivial	trivial	ADJ
ijassa-426	68	12	and	and	CCONJ
ijassa-426	68	13	requires	require	VERB
ijassa-426	68	14	special	special	ADJ
ijassa-426	68	15	investigations	investigation	NOUN
ijassa-426	68	16	and	and	CCONJ
ijassa-426	68	17	expertises	expertise	NOUN
ijassa-426	68	18	.	.	PUNCT
ijassa-426	69	1	each	each	DET
ijassa-426	69	2	data	datum	NOUN
ijassa-426	69	3	set	set	VERB
ijassa-426	69	4	determines	determine	VERB
ijassa-426	69	5	a	a	DET
ijassa-426	69	6	specific	specific	ADJ
ijassa-426	69	7	social	social	ADJ
ijassa-426	69	8	,	,	PUNCT
ijassa-426	69	9	economic	economic	ADJ
ijassa-426	69	10	and	and	CCONJ
ijassa-426	69	11	political	political	ADJ
ijassa-426	69	12	system	system	NOUN
ijassa-426	69	13	exposed	expose	VERB
ijassa-426	69	14	to	to	ADP
ijassa-426	69	15	corruption	corruption	NOUN
ijassa-426	69	16	.	.	PUNCT
ijassa-426	70	1	12	12	NUM
ijassa-426	70	2	)	)	PUNCT
ijassa-426	70	3	.	.	PUNCT
ijassa-426	71	1	it	it	PRON
ijassa-426	71	2	makes	make	VERB
ijassa-426	71	3	sense	sense	NOUN
ijassa-426	71	4	to	to	PART
ijassa-426	71	5	build	build	VERB
ijassa-426	71	6	“	"	PUNCT
ijassa-426	71	7	genetic	genetic	ADJ
ijassa-426	71	8	”	"	PUNCT
ijassa-426	71	9	series	series	NOUN
ijassa-426	71	10	of	of	ADP
ijassa-426	71	11	sequentially	sequentially	ADV
ijassa-426	71	12	complicated	complicate	VERB
ijassa-426	71	13	mod40	mod40	NOUN
ijassa-426	71	14	andrey	andrey	PROPN
ijassa-426	71	15	v.	v.	ADP
ijassa-426	71	16	antonenko	antonenko	PROPN
ijassa-426	71	17	:	:	PUNCT
ijassa-426	71	18	static	static	ADJ
ijassa-426	71	19	models	model	NOUN
ijassa-426	71	20	of	of	ADP
ijassa-426	71	21	corruption	corruption	NOUN
ijassa-426	71	22	in	in	ADP
ijassa-426	71	23	hierarchical	hierarchical	ADJ
ijassa-426	71	24	systems	system	NOUN
ijassa-426	71	25	els	el	NOUN
ijassa-426	71	26	that	that	PRON
ijassa-426	71	27	more	more	ADJ
ijassa-426	71	28	and	and	CCONJ
ijassa-426	71	29	more	more	ADV
ijassa-426	71	30	precisely	precisely	ADV
ijassa-426	71	31	describe	describe	VERB
ijassa-426	71	32	the	the	DET
ijassa-426	71	33	real	real	ADJ
ijassa-426	71	34	phenomena	phenomenon	NOUN
ijassa-426	71	35	of	of	ADP
ijassa-426	71	36	corruption	corruption	NOUN
ijassa-426	71	37	in	in	ADP
ijassa-426	71	38	hierarchical	hierarchical	ADJ
ijassa-426	71	39	control	control	NOUN
ijassa-426	71	40	systems	system	NOUN
ijassa-426	71	41	.	.	PUNCT
ijassa-426	72	1	the	the	DET
ijassa-426	72	2	principal	principal	ADJ
ijassa-426	72	3	logical	logical	ADJ
ijassa-426	72	4	pattern	pattern	NOUN
ijassa-426	72	5	of	of	ADP
ijassa-426	72	6	this	this	DET
ijassa-426	72	7	sequential	sequential	ADJ
ijassa-426	72	8	complication	complication	NOUN
ijassa-426	72	9	has	have	VERB
ijassa-426	72	10	a	a	DET
ijassa-426	72	11	form	form	NOUN
ijassa-426	72	12	“	"	PUNCT
ijassa-426	72	13	optimization	optimization	NOUN
ijassa-426	72	14	models	model	NOUN
ijassa-426	72	15	hierarchical	hierarchical	ADJ
ijassa-426	72	16	two	two	NUM
ijassa-426	72	17	-	-	PUNCT
ijassa-426	72	18	person	person	NOUN
ijassa-426	72	19	games	game	NOUN
ijassa-426	72	20	hierarchical	hierarchical	ADJ
ijassa-426	72	21	three	three	NUM
ijassa-426	72	22	-	-	PUNCT
ijassa-426	72	23	person	person	NOUN
ijassa-426	72	24	games	game	NOUN
ijassa-426	72	25	”	"	PUNCT
ijassa-426	72	26	.	.	PUNCT
ijassa-426	73	1	with	with	ADP
ijassa-426	73	2	consideration	consideration	NOUN
ijassa-426	73	3	of	of	ADP
ijassa-426	73	4	the	the	DET
ijassa-426	73	5	possible	possible	ADJ
ijassa-426	73	6	modifications	modification	NOUN
ijassa-426	73	7	of	of	ADP
ijassa-426	73	8	the	the	DET
ijassa-426	73	9	models	model	NOUN
ijassa-426	73	10	of	of	ADP
ijassa-426	73	11	each	each	DET
ijassa-426	73	12	type	type	NOUN
ijassa-426	73	13	the	the	DET
ijassa-426	73	14	“	"	PUNCT
ijassa-426	73	15	series	series	NOUN
ijassa-426	73	16	”	"	PUNCT
ijassa-426	73	17	become	become	VERB
ijassa-426	73	18	the	the	DET
ijassa-426	73	19	“	"	PUNCT
ijassa-426	73	20	genetic	genetic	ADJ
ijassa-426	73	21	networks	network	NOUN
ijassa-426	73	22	”	"	PUNCT
ijassa-426	73	23	.	.	PUNCT
ijassa-426	74	1	it	it	PRON
ijassa-426	74	2	is	be	AUX
ijassa-426	74	3	the	the	DET
ijassa-426	74	4	last	last	ADJ
ijassa-426	74	5	principle	principle	NOUN
ijassa-426	74	6	that	that	PRON
ijassa-426	74	7	determines	determine	VERB
ijassa-426	74	8	the	the	DET
ijassa-426	74	9	rest	rest	NOUN
ijassa-426	74	10	of	of	ADP
ijassa-426	74	11	the	the	DET
ijassa-426	74	12	paper	paper	NOUN
ijassa-426	74	13	.	.	PUNCT
ijassa-426	75	1	3	3	NUM
ijassa-426	75	2	system	system	NOUN
ijassa-426	75	3	of	of	ADP
ijassa-426	75	4	theoretical	theoretical	ADJ
ijassa-426	75	5	models	model	NOUN
ijassa-426	75	6	of	of	ADP
ijassa-426	75	7	corruption	corruption	NOUN
ijassa-426	75	8	the	the	DET
ijassa-426	75	9	principles	principle	NOUN
ijassa-426	75	10	formulated	formulate	VERB
ijassa-426	75	11	above	above	ADV
ijassa-426	75	12	are	be	AUX
ijassa-426	75	13	used	use	VERB
ijassa-426	75	14	to	to	PART
ijassa-426	75	15	build	build	VERB
ijassa-426	75	16	a	a	DET
ijassa-426	75	17	system	system	NOUN
ijassa-426	75	18	of	of	ADP
ijassa-426	75	19	static	static	ADJ
ijassa-426	75	20	models	model	NOUN
ijassa-426	75	21	of	of	ADP
ijassa-426	75	22	corruption	corruption	NOUN
ijassa-426	75	23	in	in	ADP
ijassa-426	75	24	hierarchical	hierarchical	ADJ
ijassa-426	75	25	control	control	NOUN
ijassa-426	75	26	systems	system	NOUN
ijassa-426	75	27	.	.	PUNCT
ijassa-426	76	1	3.1	3.1	NUM
ijassa-426	76	2	static	static	ADJ
ijassa-426	76	3	models	model	NOUN
ijassa-426	76	4	of	of	ADP
ijassa-426	76	5	economic	economic	ADJ
ijassa-426	76	6	corruption	corruption	NOUN
ijassa-426	76	7	the	the	DET
ijassa-426	76	8	basic	basic	ADJ
ijassa-426	76	9	optimization	optimization	NOUN
ijassa-426	76	10	model	model	NOUN
ijassa-426	76	11	of	of	ADP
ijassa-426	76	12	economic	economic	ADJ
ijassa-426	76	13	corruption	corruption	NOUN
ijassa-426	76	14	has	have	VERB
ijassa-426	76	15	the	the	DET
ijassa-426	76	16	form	form	NOUN
ijassa-426	76	17	g(b	g(b	NOUN
ijassa-426	76	18	)	)	PUNCT
ijassa-426	76	19	=	=	PUNCT
ijassa-426	76	20	b+	b+	X
ijassa-426	76	21	r(b	r(b	PROPN
ijassa-426	76	22	)	)	PUNCT
ijassa-426	76	23	→	→	SYM
ijassa-426	76	24	min	min	NOUN
ijassa-426	76	25	(	(	PUNCT
ijassa-426	76	26	1	1	NUM
ijassa-426	76	27	)	)	PUNCT
ijassa-426	76	28	0	0	NUM
ijassa-426	76	29	≤	≤	NUM
ijassa-426	76	30	b	b	X
ijassa-426	76	31	≤	≤	NUM
ijassa-426	76	32	1	1	NUM
ijassa-426	76	33	(	(	PUNCT
ijassa-426	76	34	2	2	NUM
ijassa-426	76	35	)	)	PUNCT
ijassa-426	76	36	where	where	SCONJ
ijassa-426	76	37	b	b	NOUN
ijassa-426	76	38	is	be	AUX
ijassa-426	76	39	a	a	DET
ijassa-426	76	40	part	part	NOUN
ijassa-426	76	41	of	of	ADP
ijassa-426	76	42	the	the	DET
ijassa-426	76	43	bribe	bribe	NOUN
ijassa-426	76	44	,	,	PUNCT
ijassa-426	76	45	r(b	r(b	PROPN
ijassa-426	76	46	)	)	PUNCT
ijassa-426	76	47	∈	∈	PROPN
ijassa-426	77	1	[	[	X
ijassa-426	77	2	0	0	NUM
ijassa-426	77	3	,	,	PUNCT
ijassa-426	77	4	1	1	NUM
ijassa-426	77	5	]	]	PUNCT
ijassa-426	77	6	is	be	AUX
ijassa-426	77	7	a	a	DET
ijassa-426	77	8	given	give	VERB
ijassa-426	77	9	function	function	NOUN
ijassa-426	77	10	of	of	ADP
ijassa-426	77	11	the	the	DET
ijassa-426	77	12	economic	economic	ADJ
ijassa-426	77	13	corruption	corruption	NOUN
ijassa-426	77	14	(	(	PUNCT
ijassa-426	77	15	for	for	ADP
ijassa-426	77	16	example	example	NOUN
ijassa-426	77	17	,	,	PUNCT
ijassa-426	77	18	a	a	DET
ijassa-426	77	19	real	real	ADJ
ijassa-426	77	20	diminishing	diminishing	NOUN
ijassa-426	77	21	of	of	ADP
ijassa-426	77	22	the	the	DET
ijassa-426	77	23	tax	tax	NOUN
ijassa-426	77	24	rate	rate	NOUN
ijassa-426	77	25	,	,	PUNCT
ijassa-426	77	26	i.e.	i.e.	X
ijassa-426	77	27	absence	absence	NOUN
ijassa-426	77	28	of	of	ADP
ijassa-426	77	29	sanctions	sanction	NOUN
ijassa-426	77	30	in	in	ADP
ijassa-426	77	31	case	case	NOUN
ijassa-426	77	32	of	of	ADP
ijassa-426	77	33	non	non	ADJ
ijassa-426	77	34	-	-	NOUN
ijassa-426	77	35	payment	payment	NOUN
ijassa-426	77	36	for	for	ADP
ijassa-426	77	37	the	the	DET
ijassa-426	77	38	bribe	bribe	NOUN
ijassa-426	77	39	)	)	PUNCT
ijassa-426	77	40	.	.	PUNCT
ijassa-426	78	1	thus	thus	ADV
ijassa-426	78	2	,	,	PUNCT
ijassa-426	78	3	the	the	DET
ijassa-426	78	4	function	function	NOUN
ijassa-426	78	5	g(b	g(b	NOUN
ijassa-426	78	6	)	)	PUNCT
ijassa-426	78	7	means	mean	VERB
ijassa-426	78	8	the	the	DET
ijassa-426	78	9	total	total	ADJ
ijassa-426	78	10	costs	cost	NOUN
ijassa-426	78	11	for	for	ADP
ijassa-426	78	12	tax	tax	NOUN
ijassa-426	78	13	payments	payment	NOUN
ijassa-426	78	14	and	and	CCONJ
ijassa-426	78	15	bribe	bribe	NOUN
ijassa-426	78	16	that	that	PRON
ijassa-426	78	17	are	be	AUX
ijassa-426	78	18	to	to	PART
ijassa-426	78	19	be	be	AUX
ijassa-426	78	20	minimized	minimize	VERB
ijassa-426	78	21	by	by	ADP
ijassa-426	78	22	the	the	DET
ijassa-426	78	23	agent	agent	NOUN
ijassa-426	78	24	.	.	PUNCT
ijassa-426	79	1	in	in	ADP
ijassa-426	79	2	case	case	NOUN
ijassa-426	79	3	of	of	ADP
ijassa-426	79	4	the	the	DET
ijassa-426	79	5	linear	linear	ADJ
ijassa-426	79	6	parameterization	parameterization	NOUN
ijassa-426	79	7	r(b	r(b	NOUN
ijassa-426	79	8	)	)	PUNCT
ijassa-426	79	9	=	=	SYM
ijassa-426	79	10	r0	r0	NOUN
ijassa-426	79	11	−ab	−ab	NOUN
ijassa-426	79	12	the	the	DET
ijassa-426	79	13	model	model	NOUN
ijassa-426	79	14	(	(	PUNCT
ijassa-426	79	15	1	1	X
ijassa-426	79	16	)	)	PUNCT
ijassa-426	79	17	takes	take	VERB
ijassa-426	79	18	the	the	DET
ijassa-426	79	19	form	form	NOUN
ijassa-426	79	20	g(b	g(b	NOUN
ijassa-426	79	21	)	)	PUNCT
ijassa-426	79	22	=	=	SYM
ijassa-426	79	23	r0	r0	NOUN
ijassa-426	79	24	+	+	CCONJ
ijassa-426	79	25	(	(	PUNCT
ijassa-426	79	26	1−a)b	1−a)b	NUM
ijassa-426	79	27	→	→	SYM
ijassa-426	79	28	min	min	PROPN
ijassa-426	79	29	,	,	PUNCT
ijassa-426	79	30	0	0	NUM
ijassa-426	79	31	≤	≤	NUM
ijassa-426	79	32	b	b	X
ijassa-426	79	33	≤	≤	NUM
ijassa-426	79	34	1	1	NUM
ijassa-426	79	35	(	(	PUNCT
ijassa-426	79	36	3	3	NUM
ijassa-426	79	37	)	)	PUNCT
ijassa-426	79	38	here	here	ADV
ijassa-426	79	39	r0	r0	NOUN
ijassa-426	79	40	is	be	AUX
ijassa-426	79	41	an	an	DET
ijassa-426	79	42	official	official	ADJ
ijassa-426	79	43	tax	tax	NOUN
ijassa-426	79	44	rate	rate	NOUN
ijassa-426	79	45	(	(	PUNCT
ijassa-426	79	46	0	0	NUM
ijassa-426	79	47	≤	≤	NUM
ijassa-426	79	48	r0	r0	NOUN
ijassa-426	79	49	≤	≤	NUM
ijassa-426	79	50	1	1	NUM
ijassa-426	79	51	)	)	PUNCT
ijassa-426	79	52	,	,	PUNCT
ijassa-426	79	53	a	a	PRON
ijassa-426	79	54	is	be	AUX
ijassa-426	79	55	a	a	DET
ijassa-426	79	56	model	model	NOUN
ijassa-426	79	57	parameter	parameter	NOUN
ijassa-426	79	58	.	.	PUNCT
ijassa-426	80	1	considering	consider	VERB
ijassa-426	80	2	that	that	SCONJ
ijassa-426	80	3	the	the	DET
ijassa-426	80	4	function	function	NOUN
ijassa-426	80	5	of	of	ADP
ijassa-426	80	6	economic	economic	ADJ
ijassa-426	80	7	corruption	corruption	NOUN
ijassa-426	80	8	r(b	r(b	NOUN
ijassa-426	80	9	)	)	PUNCT
ijassa-426	80	10	=	=	PUNCT
ijassa-426	80	11	r0	r0	NOUN
ijassa-426	80	12	−ab	−ab	PRON
ijassa-426	80	13	monotonically	monotonically	ADV
ijassa-426	80	14	decreases	decrease	VERB
ijassa-426	80	15	when	when	SCONJ
ijassa-426	80	16	0	0	NUM
ijassa-426	80	17	≤	≤	NUM
ijassa-426	80	18	b	b	X
ijassa-426	80	19	≤	≤	NUM
ijassa-426	80	20	1	1	NUM
ijassa-426	80	21	then	then	ADV
ijassa-426	80	22	a	a	DET
ijassa-426	80	23	>	>	X
ijassa-426	80	24	0	0	NUM
ijassa-426	80	25	.	.	PUNCT
ijassa-426	80	26	from	from	ADP
ijassa-426	80	27	the	the	DET
ijassa-426	80	28	other	other	ADJ
ijassa-426	80	29	side	side	NOUN
ijassa-426	80	30	,	,	PUNCT
ijassa-426	80	31	the	the	DET
ijassa-426	80	32	total	total	ADJ
ijassa-426	80	33	costs	cost	NOUN
ijassa-426	80	34	g(b	g(b	X
ijassa-426	80	35	)	)	PUNCT
ijassa-426	80	36	are	be	AUX
ijassa-426	80	37	non	non	ADJ
ijassa-426	80	38	-	-	ADJ
ijassa-426	80	39	negative	negative	ADJ
ijassa-426	80	40	,	,	PUNCT
ijassa-426	80	41	therefore	therefore	ADV
ijassa-426	80	42	a	a	DET
ijassa-426	80	43	≤	≤	NUM
ijassa-426	80	44	1	1	NUM
ijassa-426	80	45	+	+	NUM
ijassa-426	80	46	r0	r0	NOUN
ijassa-426	80	47	.	.	PUNCT
ijassa-426	81	1	thus	thus	ADV
ijassa-426	81	2	0	0	X
ijassa-426	81	3	<	<	X
ijassa-426	81	4	a	a	DET
ijassa-426	81	5	≤	≤	NUM
ijassa-426	81	6	1	1	NUM
ijassa-426	81	7	+	+	NUM
ijassa-426	81	8	r0	r0	NOUN
ijassa-426	81	9	.	.	PUNCT
ijassa-426	82	1	the	the	DET
ijassa-426	82	2	parameter	parameter	NOUN
ijassa-426	82	3	determines	determine	VERB
ijassa-426	82	4	the	the	DET
ijassa-426	82	5	qualitative	qualitative	ADJ
ijassa-426	82	6	characteristics	characteristic	NOUN
ijassa-426	82	7	of	of	ADP
ijassa-426	82	8	the	the	DET
ijassa-426	82	9	bribe	bribe	NOUN
ijassa-426	82	10	-	-	PUNCT
ijassa-426	82	11	taker	taker	NOUN
ijassa-426	82	12	’s	’s	PART
ijassa-426	82	13	behavior	behavior	NOUN
ijassa-426	82	14	.	.	PUNCT
ijassa-426	83	1	if	if	SCONJ
ijassa-426	83	2	a	a	DET
ijassa-426	83	3	=	=	NOUN
ijassa-426	83	4	0	0	PUNCT
ijassa-426	83	5	then	then	ADV
ijassa-426	83	6	corruption	corruption	NOUN
ijassa-426	83	7	is	be	AUX
ijassa-426	83	8	completely	completely	ADV
ijassa-426	83	9	absent	absent	ADJ
ijassa-426	83	10	.	.	PUNCT
ijassa-426	84	1	as	as	ADP
ijassa-426	84	2	the	the	DET
ijassa-426	84	3	value	value	NOUN
ijassa-426	84	4	of	of	ADP
ijassa-426	84	5	a	a	DET
ijassa-426	84	6	increases	increase	NOUN
ijassa-426	84	7	,	,	PUNCT
ijassa-426	84	8	the	the	DET
ijassa-426	84	9	bribetaker	bribetaker	NOUN
ijassa-426	84	10	’s	’s	PART
ijassa-426	84	11	tractability	tractability	NOUN
ijassa-426	84	12	also	also	ADV
ijassa-426	84	13	increases	increase	VERB
ijassa-426	84	14	and	and	CCONJ
ijassa-426	84	15	his	his	PRON
ijassa-426	84	16	greed	greed	NOUN
ijassa-426	84	17	decreases	decrease	VERB
ijassa-426	84	18	.	.	PUNCT
ijassa-426	85	1	the	the	DET
ijassa-426	85	2	threshold	threshold	NOUN
ijassa-426	85	3	value	value	NOUN
ijassa-426	85	4	is	be	AUX
ijassa-426	85	5	a	a	DET
ijassa-426	85	6	=	=	ADJ
ijassa-426	85	7	r0	r0	NOUN
ijassa-426	85	8	:	:	PUNCT
ijassa-426	85	9	in	in	ADP
ijassa-426	85	10	this	this	DET
ijassa-426	85	11	case	case	NOUN
ijassa-426	85	12	r(1	r(1	PROPN
ijassa-426	85	13	)	)	PUNCT
ijassa-426	86	1	=	=	SYM
ijassa-426	86	2	0	0	NUM
ijassa-426	86	3	,	,	PUNCT
ijassa-426	86	4	i.e.	i.e.	X
ijassa-426	86	5	the	the	DET
ijassa-426	86	6	maximal	maximal	ADJ
ijassa-426	86	7	greed	greed	NOUN
ijassa-426	86	8	ensures	ensure	VERB
ijassa-426	86	9	the	the	DET
ijassa-426	86	10	maximal	maximal	ADJ
ijassa-426	86	11	tractability	tractability	NOUN
ijassa-426	86	12	.	.	PUNCT
ijassa-426	87	1	if	if	SCONJ
ijassa-426	87	2	a	a	DET
ijassa-426	87	3	<	<	X
ijassa-426	87	4	r0	r0	NOUN
ijassa-426	87	5	then	then	ADV
ijassa-426	87	6	the	the	DET
ijassa-426	87	7	greed	greed	NOUN
ijassa-426	87	8	is	be	AUX
ijassa-426	87	9	over	over	ADV
ijassa-426	87	10	-	-	PUNCT
ijassa-426	87	11	limited	limit	VERB
ijassa-426	87	12	and	and	CCONJ
ijassa-426	87	13	the	the	DET
ijassa-426	87	14	tractability	tractability	NOUN
ijassa-426	87	15	does	do	AUX
ijassa-426	87	16	not	not	PART
ijassa-426	87	17	reach	reach	VERB
ijassa-426	87	18	the	the	DET
ijassa-426	87	19	maximal	maximal	ADJ
ijassa-426	87	20	value	value	NOUN
ijassa-426	87	21	(	(	PUNCT
ijassa-426	87	22	i.e.	i.e.	X
ijassa-426	87	23	a	a	DET
ijassa-426	87	24	positive	positive	ADJ
ijassa-426	87	25	tax	tax	NOUN
ijassa-426	87	26	is	be	AUX
ijassa-426	87	27	paid	pay	VERB
ijassa-426	87	28	for	for	ADP
ijassa-426	87	29	any	any	DET
ijassa-426	87	30	bribe	bribe	NOUN
ijassa-426	87	31	)	)	PUNCT
ijassa-426	87	32	.	.	PUNCT
ijassa-426	88	1	when	when	SCONJ
ijassa-426	88	2	a	a	DET
ijassa-426	88	3	>	>	X
ijassa-426	88	4	r0	r0	NOUN
ijassa-426	88	5	the	the	DET
ijassa-426	88	6	agent	agent	NOUN
ijassa-426	88	7	can	can	AUX
ijassa-426	88	8	avoid	avoid	VERB
ijassa-426	88	9	the	the	DET
ijassa-426	88	10	tax	tax	NOUN
ijassa-426	88	11	payments	payment	NOUN
ijassa-426	88	12	completely	completely	ADV
ijassa-426	88	13	in	in	ADP
ijassa-426	88	14	exchange	exchange	NOUN
ijassa-426	88	15	for	for	ADP
ijassa-426	88	16	a	a	DET
ijassa-426	88	17	moderate	moderate	ADJ
ijassa-426	88	18	bribe	bribe	NOUN
ijassa-426	88	19	(	(	PUNCT
ijassa-426	88	20	maximal	maximal	ADJ
ijassa-426	88	21	tractability	tractability	NOUN
ijassa-426	88	22	and	and	CCONJ
ijassa-426	88	23	small	small	ADJ
ijassa-426	88	24	greed	greed	NOUN
ijassa-426	88	25	)	)	PUNCT
ijassa-426	88	26	.	.	PUNCT
ijassa-426	89	1	return	return	VERB
ijassa-426	89	2	to	to	ADP
ijassa-426	89	3	the	the	DET
ijassa-426	89	4	solution	solution	NOUN
ijassa-426	89	5	of	of	ADP
ijassa-426	89	6	the	the	DET
ijassa-426	89	7	optimization	optimization	NOUN
ijassa-426	89	8	problem	problem	NOUN
ijassa-426	89	9	(	(	PUNCT
ijassa-426	89	10	1	1	NUM
ijassa-426	89	11	)	)	PUNCT
ijassa-426	89	12	.	.	PUNCT
ijassa-426	90	1	having	have	VERB
ijassa-426	90	2	that	that	PRON
ijassa-426	90	3	dg(b	dg(b	PUNCT
ijassa-426	90	4	)	)	PUNCT
ijassa-426	90	5	db	db	PROPN
ijassa-426	90	6	=	=	SYM
ijassa-426	90	7	1−a	1−a	NUM
ijassa-426	90	8	the	the	DET
ijassa-426	90	9	function	function	NOUN
ijassa-426	90	10	monotonically	monotonically	ADV
ijassa-426	90	11	increases	increase	VERB
ijassa-426	90	12	when	when	SCONJ
ijassa-426	90	13	0	0	PUNCT
ijassa-426	90	14	<	<	X
ijassa-426	90	15	a	a	DET
ijassa-426	90	16	<	<	X
ijassa-426	90	17	1	1	NUM
ijassa-426	90	18	and	and	CCONJ
ijassa-426	90	19	its	its	PRON
ijassa-426	90	20	minimal	minimal	ADJ
ijassa-426	90	21	value	value	NOUN
ijassa-426	90	22	is	be	AUX
ijassa-426	90	23	reached	reach	VERB
ijassa-426	90	24	in	in	ADP
ijassa-426	90	25	the	the	DET
ijassa-426	90	26	left	left	ADJ
ijassa-426	90	27	end	end	NOUN
ijassa-426	90	28	of	of	ADP
ijassa-426	90	29	the	the	DET
ijassa-426	90	30	admissible	admissible	ADJ
ijassa-426	90	31	range	range	NOUN
ijassa-426	90	32	:	:	PUNCT
ijassa-426	91	1	gmin	gmin	NOUN
ijassa-426	91	2	=	=	SYM
ijassa-426	91	3	g(0	g(0	PROPN
ijassa-426	91	4	)	)	PUNCT
ijassa-426	91	5	=	=	SYM
ijassa-426	91	6	r0	r0	NOUN
ijassa-426	91	7	.	.	PUNCT
ijassa-426	92	1	respectively	respectively	ADV
ijassa-426	92	2	when	when	SCONJ
ijassa-426	92	3	1	1	NUM
ijassa-426	92	4	<	<	X
ijassa-426	92	5	a	a	DET
ijassa-426	92	6	<	<	X
ijassa-426	92	7	1+r0	1+r0	NUM
ijassa-426	92	8	the	the	DET
ijassa-426	92	9	function	function	NOUN
ijassa-426	92	10	g	g	PROPN
ijassa-426	92	11	monotonically	monotonically	ADV
ijassa-426	92	12	decreases	decrease	VERB
ijassa-426	92	13	and	and	CCONJ
ijassa-426	92	14	its	its	PRON
ijassa-426	92	15	minimal	minimal	ADJ
ijassa-426	92	16	value	value	NOUN
ijassa-426	92	17	advances	advance	NOUN
ijassa-426	92	18	in	in	ADP
ijassa-426	92	19	systems	system	NOUN
ijassa-426	92	20	science	science	NOUN
ijassa-426	92	21	and	and	CCONJ
ijassa-426	92	22	applications	application	NOUN
ijassa-426	92	23	(	(	PUNCT
ijassa-426	92	24	2013	2013	NUM
ijassa-426	92	25	)	)	PUNCT
ijassa-426	93	1	vol.13	vol.13	NOUN
ijassa-426	93	2	no.1	no.1	X
ijassa-426	93	3	41	41	NUM
ijassa-426	93	4	is	be	AUX
ijassa-426	93	5	reached	reach	VERB
ijassa-426	93	6	in	in	ADP
ijassa-426	93	7	the	the	DET
ijassa-426	93	8	right	right	ADJ
ijassa-426	93	9	end	end	NOUN
ijassa-426	93	10	:	:	PUNCT
ijassa-426	93	11	gmin	gmin	NOUN
ijassa-426	93	12	=	=	SYM
ijassa-426	93	13	g(1	g(1	NOUN
ijassa-426	93	14	)	)	PUNCT
ijassa-426	93	15	=	=	SYM
ijassa-426	94	1	1	1	NUM
ijassa-426	94	2	+	+	NUM
ijassa-426	94	3	r0	r0	NOUN
ijassa-426	94	4	−	−	PROPN
ijassa-426	94	5	a	a	DET
ijassa-426	94	6	<	<	X
ijassa-426	94	7	r0	r0	NOUN
ijassa-426	94	8	.	.	PUNCT
ijassa-426	95	1	in	in	ADP
ijassa-426	95	2	the	the	DET
ijassa-426	95	3	degenerate	degenerate	ADJ
ijassa-426	95	4	case	case	NOUN
ijassa-426	95	5	a	a	DET
ijassa-426	95	6	=	=	SYM
ijassa-426	95	7	1	1	NUM
ijassa-426	95	8	we	we	PRON
ijassa-426	95	9	get	get	VERB
ijassa-426	95	10	g(b	g(b	NOUN
ijassa-426	95	11	)	)	PUNCT
ijassa-426	95	12	≡	≡	PROPN
ijassa-426	95	13	r0(the	r0(the	DET
ijassa-426	95	14	bribe	bribe	NOUN
ijassa-426	95	15	is	be	AUX
ijassa-426	95	16	useless	useless	ADJ
ijassa-426	95	17	and	and	CCONJ
ijassa-426	95	18	corruption	corruption	NOUN
ijassa-426	95	19	is	be	AUX
ijassa-426	95	20	absent	absent	ADJ
ijassa-426	95	21	)	)	PUNCT
ijassa-426	95	22	.	.	PUNCT
ijassa-426	96	1	so	so	ADV
ijassa-426	96	2	,	,	PUNCT
ijassa-426	96	3	the	the	DET
ijassa-426	96	4	parameter	parameter	NOUN
ijassa-426	96	5	a	a	PRON
ijassa-426	96	6	again	again	ADV
ijassa-426	96	7	plays	play	VERB
ijassa-426	96	8	the	the	DET
ijassa-426	96	9	key	key	ADJ
ijassa-426	96	10	role	role	NOUN
ijassa-426	96	11	and	and	CCONJ
ijassa-426	96	12	determines	determine	VERB
ijassa-426	96	13	two	two	NUM
ijassa-426	96	14	qualitatively	qualitatively	ADV
ijassa-426	96	15	different	different	ADJ
ijassa-426	96	16	behavior	behavior	NOUN
ijassa-426	96	17	strategies	strategy	NOUN
ijassa-426	96	18	of	of	ADP
ijassa-426	96	19	the	the	DET
ijassa-426	96	20	agent	agent	NOUN
ijassa-426	96	21	.	.	PUNCT
ijassa-426	97	1	if	if	SCONJ
ijassa-426	97	2	0	0	NUM
ijassa-426	97	3	<	<	X
ijassa-426	97	4	a	a	DET
ijassa-426	97	5	<	<	X
ijassa-426	97	6	1	1	NUM
ijassa-426	97	7	then	then	ADV
ijassa-426	97	8	the	the	DET
ijassa-426	97	9	total	total	ADJ
ijassa-426	97	10	costs	cost	NOUN
ijassa-426	97	11	of	of	ADP
ijassa-426	97	12	the	the	DET
ijassa-426	97	13	agent	agent	NOUN
ijassa-426	97	14	g(b	g(b	NOUN
ijassa-426	97	15	)	)	PUNCT
ijassa-426	97	16	increase	increase	NOUN
ijassa-426	97	17	,	,	PUNCT
ijassa-426	97	18	it	it	PRON
ijassa-426	97	19	is	be	AUX
ijassa-426	97	20	rational	rational	ADJ
ijassa-426	97	21	to	to	PART
ijassa-426	97	22	abandon	abandon	VERB
ijassa-426	97	23	from	from	ADP
ijassa-426	97	24	bribe	bribe	NOUN
ijassa-426	97	25	and	and	CCONJ
ijassa-426	97	26	to	to	PART
ijassa-426	97	27	pay	pay	VERB
ijassa-426	97	28	taxes	taxis	NOUN
ijassa-426	97	29	equal	equal	ADJ
ijassa-426	97	30	to	to	ADP
ijassa-426	97	31	the	the	DET
ijassa-426	97	32	legislative	legislative	ADJ
ijassa-426	97	33	rate	rate	NOUN
ijassa-426	97	34	r0	r0	NOUN
ijassa-426	97	35	.	.	PUNCT
ijassa-426	98	1	if	if	SCONJ
ijassa-426	98	2	1	1	NUM
ijassa-426	98	3	<	<	X
ijassa-426	98	4	a	a	DET
ijassa-426	98	5	<	<	X
ijassa-426	98	6	1	1	NUM
ijassa-426	98	7	+	+	X
ijassa-426	98	8	r0	r0	NOUN
ijassa-426	98	9	then	then	ADV
ijassa-426	98	10	the	the	DET
ijassa-426	98	11	costs	cost	NOUN
ijassa-426	98	12	g(b	g(b	X
ijassa-426	98	13	)	)	PUNCT
ijassa-426	98	14	diminish	diminish	VERB
ijassa-426	98	15	and	and	CCONJ
ijassa-426	98	16	an	an	DET
ijassa-426	98	17	economic	economic	ADJ
ijassa-426	98	18	incentive	incentive	NOUN
ijassa-426	98	19	arises	arise	VERB
ijassa-426	98	20	to	to	PART
ijassa-426	98	21	give	give	VERB
ijassa-426	98	22	the	the	DET
ijassa-426	98	23	bribe	bribe	NOUN
ijassa-426	98	24	and	and	CCONJ
ijassa-426	98	25	to	to	PART
ijassa-426	98	26	pay	pay	VERB
ijassa-426	98	27	in	in	ADP
ijassa-426	98	28	total	total	ADJ
ijassa-426	98	29	1	1	NUM
ijassa-426	98	30	+	+	NUM
ijassa-426	98	31	r0	r0	NOUN
ijassa-426	98	32	−a	−a	NOUN
ijassa-426	98	33	<	<	X
ijassa-426	98	34	r0	r0	NOUN
ijassa-426	98	35	.	.	PUNCT
ijassa-426	99	1	now	now	ADV
ijassa-426	99	2	consider	consider	VERB
ijassa-426	99	3	the	the	DET
ijassa-426	99	4	function	function	NOUN
ijassa-426	99	5	of	of	ADP
ijassa-426	99	6	economic	economic	ADJ
ijassa-426	99	7	corruption	corruption	NOUN
ijassa-426	99	8	in	in	ADP
ijassa-426	99	9	a	a	DET
ijassa-426	99	10	more	more	ADV
ijassa-426	99	11	general	general	ADJ
ijassa-426	99	12	form	form	NOUN
ijassa-426	99	13	g(b	g(b	NOUN
ijassa-426	99	14	)	)	PUNCT
ijassa-426	100	1	=	=	PUNCT
ijassa-426	100	2	b+	b+	X
ijassa-426	100	3	r(b	r(b	PROPN
ijassa-426	100	4	)	)	PUNCT
ijassa-426	100	5	=	=	PUNCT
ijassa-426	100	6	b+	b+	AUX
ijassa-426	100	7	r0	r0	VERB
ijassa-426	100	8	−abk(k	−abk(k	PROPN
ijassa-426	100	9	>	>	X
ijassa-426	100	10	0	0	NUM
ijassa-426	100	11	)	)	PUNCT
ijassa-426	100	12	.	.	PUNCT
ijassa-426	101	1	it	it	PRON
ijassa-426	101	2	is	be	AUX
ijassa-426	101	3	true	true	ADJ
ijassa-426	101	4	that	that	SCONJ
ijassa-426	101	5	dg	dg	VERB
ijassa-426	101	6	db	db	PROPN
ijassa-426	101	7	=	=	SYM
ijassa-426	101	8	1−	1−	NUM
ijassa-426	101	9	kabk−1	kabk−1	PROPN
ijassa-426	101	10	=	=	SYM
ijassa-426	101	11	0	0	NUM
ijassa-426	101	12	⇒	⇒	NOUN
ijassa-426	101	13	b∗	b∗	PROPN
ijassa-426	101	14	=	=	SYM
ijassa-426	101	15	(	(	PUNCT
ijassa-426	101	16	ka	ka	PROPN
ijassa-426	101	17	)	)	PUNCT
ijassa-426	101	18	1	1	NUM
ijassa-426	101	19	1−k	1−k	NUM
ijassa-426	101	20	;	;	PUNCT
ijassa-426	101	21	d2	d2	PROPN
ijassa-426	101	22	g	g	PROPN
ijassa-426	101	23	db2	db2	PROPN
ijassa-426	101	24	=	=	PROPN
ijassa-426	101	25	k(1−	k(1−	PROPN
ijassa-426	101	26	k)abk−2	k)abk−2	PROPN
ijassa-426	101	27	;	;	PUNCT
ijassa-426	101	28	d2g(b∗	d2g(b∗	PROPN
ijassa-426	101	29	)	)	PUNCT
ijassa-426	101	30	db2	db2	PROPN
ijassa-426	102	1	=	=	SYM
ijassa-426	102	2	(	(	PUNCT
ijassa-426	102	3	1−	1−	NUM
ijassa-426	102	4	k)(ka	k)(ka	NOUN
ijassa-426	102	5	)	)	PUNCT
ijassa-426	102	6	1	1	NUM
ijassa-426	102	7	k−1	k−1	PROPN
ijassa-426	102	8	.	.	PUNCT
ijassa-426	103	1	therefore	therefore	ADV
ijassa-426	103	2	,	,	PUNCT
ijassa-426	103	3	d2g(b∗	d2g(b∗	PROPN
ijassa-426	103	4	)	)	PUNCT
ijassa-426	103	5	db2	db2	PROPN
ijassa-426	103	6	{	{	PUNCT
ijassa-426	103	7	>	>	X
ijassa-426	103	8	0	0	NUM
ijassa-426	103	9	,	,	PUNCT
ijassa-426	103	10	0	0	NUM
ijassa-426	103	11	<	<	X
ijassa-426	103	12	k	k	X
ijassa-426	103	13	<	<	X
ijassa-426	103	14	1	1	NUM
ijassa-426	103	15	⇒	⇒	NOUN
ijassa-426	103	16	b∗	b∗	ADV
ijassa-426	103	17	is	be	AUX
ijassa-426	103	18	the	the	DET
ijassa-426	103	19	point	point	NOUN
ijassa-426	103	20	of	of	ADP
ijassa-426	103	21	min	min	NOUN
ijassa-426	103	22	imun	imun	NOUN
ijassa-426	103	23	;	;	PUNCT
ijassa-426	103	24	<	<	X
ijassa-426	103	25	0	0	NUM
ijassa-426	103	26	,	,	PUNCT
ijassa-426	103	27	k	k	PROPN
ijassa-426	103	28	>	>	X
ijassa-426	103	29	1	1	NUM
ijassa-426	103	30	⇒	⇒	NOUN
ijassa-426	103	31	b∗	b∗	ADV
ijassa-426	103	32	is	be	AUX
ijassa-426	103	33	the	the	DET
ijassa-426	103	34	point	point	NOUN
ijassa-426	103	35	of	of	ADP
ijassa-426	103	36	max	max	PROPN
ijassa-426	103	37	imun	imun	NOUN
ijassa-426	103	38	.	.	PUNCT
ijassa-426	104	1	if	if	SCONJ
ijassa-426	104	2	b∗	b∗	ADJ
ijassa-426	104	3	is	be	AUX
ijassa-426	104	4	a	a	DET
ijassa-426	104	5	point	point	NOUN
ijassa-426	104	6	of	of	ADP
ijassa-426	104	7	maximum	maximum	ADJ
ijassa-426	104	8	then	then	ADV
ijassa-426	104	9	min	min	PROPN
ijassa-426	104	10	b	b	PROPN
ijassa-426	104	11	g(b	g(b	PROPN
ijassa-426	104	12	)	)	PUNCT
ijassa-426	104	13	=	=	PRON
ijassa-426	104	14	{	{	PUNCT
ijassa-426	104	15	g(0	g(0	PROPN
ijassa-426	104	16	)	)	PUNCT
ijassa-426	104	17	=	=	SYM
ijassa-426	104	18	r0	r0	NOUN
ijassa-426	104	19	,	,	PUNCT
ijassa-426	104	20	0	0	PUNCT
ijassa-426	104	21	<	<	X
ijassa-426	104	22	a	a	DET
ijassa-426	104	23	<	<	X
ijassa-426	104	24	1	1	NUM
ijassa-426	104	25	,	,	PUNCT
ijassa-426	104	26	g(1	g(1	NOUN
ijassa-426	104	27	)	)	PUNCT
ijassa-426	104	28	=	=	SYM
ijassa-426	104	29	r0	r0	NOUN
ijassa-426	104	30	+	+	CCONJ
ijassa-426	104	31	1−a	1−a	NOUN
ijassa-426	104	32	,	,	PUNCT
ijassa-426	104	33	1	1	NUM
ijassa-426	104	34	<	<	X
ijassa-426	104	35	a	a	DET
ijassa-426	104	36	<	<	X
ijassa-426	104	37	1	1	NUM
ijassa-426	104	38	+	+	NOUN
ijassa-426	104	39	r0	r0	NOUN
ijassa-426	104	40	.	.	PUNCT
ijassa-426	105	1	finally	finally	ADV
ijassa-426	105	2	bmin	bmin	VERB
ijassa-426	105	3			PRON
ijassa-426	105	4	(	(	PUNCT
ijassa-426	105	5	ka	ka	PROPN
ijassa-426	105	6	)	)	PUNCT
ijassa-426	105	7	1	1	NUM
ijassa-426	105	8	1−k	1−k	NUM
ijassa-426	105	9	,	,	PUNCT
ijassa-426	105	10	0	0	PUNCT
ijassa-426	105	11	<	<	X
ijassa-426	105	12	k	k	X
ijassa-426	105	13	<	<	X
ijassa-426	105	14	1	1	NUM
ijassa-426	105	15	;	;	PUNCT
ijassa-426	105	16	0	0	NUM
ijassa-426	105	17	,	,	PUNCT
ijassa-426	105	18	k	k	X
ijassa-426	105	19	>	>	X
ijassa-426	105	20	1	1	NUM
ijassa-426	105	21	∧	∧	PROPN
ijassa-426	105	22	0	0	PUNCT
ijassa-426	105	23	<	<	X
ijassa-426	105	24	a	a	PRON
ijassa-426	105	25	<	<	X
ijassa-426	105	26	1	1	NUM
ijassa-426	105	27	;	;	PUNCT
ijassa-426	105	28	1	1	NUM
ijassa-426	105	29	,	,	PUNCT
ijassa-426	105	30	k	k	PROPN
ijassa-426	105	31	>	>	X
ijassa-426	105	32	1	1	NUM
ijassa-426	105	33	∧	∧	PROPN
ijassa-426	105	34	1	1	NUM
ijassa-426	105	35	<	<	X
ijassa-426	105	36	a	a	DET
ijassa-426	105	37	<	<	X
ijassa-426	105	38	1	1	NUM
ijassa-426	105	39	+	+	CCONJ
ijassa-426	105	40	r0	r0	NOUN
ijassa-426	105	41	;	;	PUNCT
ijassa-426	105	42	(	(	PUNCT
ijassa-426	105	43	the	the	DET
ijassa-426	105	44	case	case	NOUN
ijassa-426	105	45	k	k	NOUN
ijassa-426	105	46	=	=	SYM
ijassa-426	105	47	1	1	NUM
ijassa-426	105	48	is	be	AUX
ijassa-426	105	49	studied	study	VERB
ijassa-426	105	50	separately	separately	ADV
ijassa-426	105	51	)	)	PUNCT
ijassa-426	105	52	.	.	PUNCT
ijassa-426	106	1	so	so	ADV
ijassa-426	106	2	,	,	PUNCT
ijassa-426	106	3	if	if	SCONJ
ijassa-426	106	4	0	0	NUM
ijassa-426	106	5	<	<	X
ijassa-426	106	6	k	k	X
ijassa-426	106	7	<	<	X
ijassa-426	106	8	1	1	NUM
ijassa-426	106	9	then	then	ADV
ijassa-426	106	10	it	it	PRON
ijassa-426	106	11	is	be	AUX
ijassa-426	106	12	always	always	ADV
ijassa-426	106	13	profitable	profitable	ADJ
ijassa-426	106	14	for	for	SCONJ
ijassa-426	106	15	the	the	DET
ijassa-426	106	16	agent	agent	NOUN
ijassa-426	106	17	to	to	PART
ijassa-426	106	18	give	give	VERB
ijassa-426	106	19	a	a	DET
ijassa-426	106	20	bribe	bribe	NOUN
ijassa-426	106	21	;	;	PUNCT
ijassa-426	106	22	if	if	SCONJ
ijassa-426	106	23	k	k	PROPN
ijassa-426	106	24	>	>	X
ijassa-426	106	25	1	1	NUM
ijassa-426	106	26	then	then	ADV
ijassa-426	106	27	the	the	DET
ijassa-426	106	28	reason	reason	NOUN
ijassa-426	106	29	to	to	PART
ijassa-426	106	30	pay	pay	VERB
ijassa-426	106	31	the	the	DET
ijassa-426	106	32	bribe	bribe	NOUN
ijassa-426	106	33	depends	depend	VERB
ijassa-426	106	34	on	on	ADP
ijassa-426	106	35	the	the	DET
ijassa-426	106	36	parameter	parameter	NOUN
ijassa-426	106	37	.	.	PUNCT
ijassa-426	107	1	now	now	ADV
ijassa-426	107	2	consider	consider	VERB
ijassa-426	107	3	a	a	DET
ijassa-426	107	4	hierarchical	hierarchical	ADJ
ijassa-426	107	5	game	game	NOUN
ijassa-426	107	6	supervisor	supervisor	NOUN
ijassa-426	107	7	agent	agent	NOUN
ijassa-426	107	8	in	in	ADP
ijassa-426	107	9	the	the	DET
ijassa-426	107	10	form	form	NOUN
ijassa-426	107	11	gs	gs	X
ijassa-426	107	12	(	(	PUNCT
ijassa-426	107	13	r	r	NOUN
ijassa-426	107	14	,	,	PUNCT
ijassa-426	107	15	b	b	NOUN
ijassa-426	107	16	)	)	PUNCT
ijassa-426	107	17	=	=	NOUN
ijassa-426	107	18	b+	b+	X
ijassa-426	107	19	pr	pr	X
ijassa-426	107	20	→	→	SYM
ijassa-426	107	21	max	max	PROPN
ijassa-426	107	22	,	,	PUNCT
ijassa-426	107	23	0	0	NUM
ijassa-426	107	24	≤	≤	NUM
ijassa-426	107	25	r	r	NOUN
ijassa-426	107	26	≤	≤	NOUN
ijassa-426	107	27	r0	r0	NOUN
ijassa-426	107	28	;	;	PUNCT
ijassa-426	107	29	(	(	PUNCT
ijassa-426	107	30	4	4	X
ijassa-426	107	31	)	)	PUNCT
ijassa-426	107	32	ga(r	ga(r	PROPN
ijassa-426	107	33	,	,	PUNCT
ijassa-426	107	34	b	b	X
ijassa-426	107	35	)	)	PUNCT
ijassa-426	107	36	=	=	NOUN
ijassa-426	107	37	b+	b+	NOUN
ijassa-426	107	38	r	r	NOUN
ijassa-426	107	39	→	→	SYM
ijassa-426	107	40	min	min	NOUN
ijassa-426	107	41	,	,	PUNCT
ijassa-426	107	42	0	0	NUM
ijassa-426	107	43	≤	≤	NUM
ijassa-426	107	44	b	b	X
ijassa-426	107	45	≤	≤	NUM
ijassa-426	107	46	1	1	NUM
ijassa-426	107	47	.	.	PUNCT
ijassa-426	108	1	(	(	PUNCT
ijassa-426	108	2	5	5	NUM
ijassa-426	108	3	)	)	PUNCT
ijassa-426	108	4	here	here	ADV
ijassa-426	108	5	the	the	DET
ijassa-426	108	6	parameter	parameter	NOUN
ijassa-426	108	7	p	p	PROPN
ijassa-426	108	8	designates	designate	VERB
ijassa-426	108	9	a	a	DET
ijassa-426	108	10	part	part	NOUN
ijassa-426	108	11	of	of	ADP
ijassa-426	108	12	the	the	DET
ijassa-426	108	13	collected	collect	VERB
ijassa-426	108	14	tax	tax	NOUN
ijassa-426	108	15	payments	payment	NOUN
ijassa-426	108	16	transferred	transfer	VERB
ijassa-426	108	17	by	by	ADP
ijassa-426	108	18	the	the	DET
ijassa-426	108	19	principal	principal	NOUN
ijassa-426	108	20	(	(	PUNCT
ijassa-426	108	21	considered	consider	VERB
ijassa-426	108	22	in	in	ADP
ijassa-426	108	23	the	the	DET
ijassa-426	108	24	model	model	NOUN
ijassa-426	108	25	implicitly	implicitly	ADV
ijassa-426	108	26	)	)	PUNCT
ijassa-426	108	27	to	to	ADP
ijassa-426	108	28	the	the	DET
ijassa-426	108	29	supervisor	supervisor	NOUN
ijassa-426	108	30	as	as	ADP
ijassa-426	108	31	a	a	DET
ijassa-426	108	32	reward	reward	NOUN
ijassa-426	108	33	.	.	PUNCT
ijassa-426	109	1	in	in	ADP
ijassa-426	109	2	this	this	DET
ijassa-426	109	3	model	model	NOUN
ijassa-426	109	4	the	the	DET
ijassa-426	109	5	function	function	NOUN
ijassa-426	109	6	r	r	NOUN
ijassa-426	109	7	=	=	SYM
ijassa-426	109	8	r(b	r(b	PROPN
ijassa-426	109	9	)	)	PUNCT
ijassa-426	109	10	is	be	AUX
ijassa-426	109	11	not	not	PART
ijassa-426	109	12	given	give	VERB
ijassa-426	109	13	and	and	CCONJ
ijassa-426	109	14	is	be	AUX
ijassa-426	109	15	found	find	VERB
ijassa-426	109	16	as	as	ADP
ijassa-426	109	17	an	an	DET
ijassa-426	109	18	optimal	optimal	ADJ
ijassa-426	109	19	strategy	strategy	NOUN
ijassa-426	109	20	42	42	NUM
ijassa-426	109	21	andrey	andrey	INTJ
ijassa-426	109	22	v.	v.	ADP
ijassa-426	109	23	antonenko	antonenko	PROPN
ijassa-426	109	24	:	:	PUNCT
ijassa-426	109	25	static	static	ADJ
ijassa-426	109	26	models	model	NOUN
ijassa-426	109	27	of	of	ADP
ijassa-426	109	28	corruption	corruption	NOUN
ijassa-426	109	29	in	in	ADP
ijassa-426	109	30	hierarchical	hierarchical	ADJ
ijassa-426	109	31	systems	system	NOUN
ijassa-426	109	32	of	of	ADP
ijassa-426	109	33	the	the	DET
ijassa-426	109	34	leader	leader	NOUN
ijassa-426	109	35	in	in	ADP
ijassa-426	109	36	the	the	DET
ijassa-426	109	37	game	game	NOUN
ijassa-426	109	38	(	(	PUNCT
ijassa-426	109	39	4)-(5	4)-(5	NUM
ijassa-426	109	40	)	)	PUNCT
ijassa-426	109	41	.	.	PUNCT
ijassa-426	110	1	using	use	VERB
ijassa-426	110	2	germeyer	germeyer	PROPN
ijassa-426	110	3	’s	’s	PART
ijassa-426	110	4	theorem	theorem	NOUN
ijassa-426	110	5	(	(	PUNCT
ijassa-426	110	6	see	see	VERB
ijassa-426	110	7	appendix	appendix	NOUN
ijassa-426	110	8	)	)	PUNCT
ijassa-426	110	9	,	,	PUNCT
ijassa-426	110	10	we	we	PRON
ijassa-426	110	11	find	find	VERB
ijassa-426	110	12	the	the	DET
ijassa-426	110	13	ε	ε	NOUN
ijassa-426	110	14	-	-	PUNCT
ijassa-426	110	15	optimal	optimal	ADJ
ijassa-426	110	16	strategy	strategy	NOUN
ijassa-426	110	17	in	in	ADP
ijassa-426	110	18	the	the	DET
ijassa-426	110	19	form	form	NOUN
ijassa-426	110	20	r̃ε(b	r̃ε(b	PROPN
ijassa-426	110	21	)	)	PUNCT
ijassa-426	111	1	=	=	PRON
ijassa-426	111	2	{	{	PUNCT
ijassa-426	111	3	0	0	NUM
ijassa-426	111	4	,	,	PUNCT
ijassa-426	111	5	b	b	X
ijassa-426	111	6	=	=	SYM
ijassa-426	111	7	r0	r0	NOUN
ijassa-426	111	8	−	−	PROPN
ijassa-426	112	1	ε	ε	PROPN
ijassa-426	112	2	∧	∧	PROPN
ijassa-426	112	3	p	p	X
ijassa-426	112	4	<	<	X
ijassa-426	112	5	1−	1−	NUM
ijassa-426	112	6	ε	ε	PROPN
ijassa-426	112	7	r0	r0	NOUN
ijassa-426	112	8	,	,	PUNCT
ijassa-426	112	9	r0	r0	NOUN
ijassa-426	112	10	,	,	PUNCT
ijassa-426	112	11	otherwise	otherwise	ADV
ijassa-426	112	12	.	.	PUNCT
ijassa-426	113	1	so	so	ADV
ijassa-426	113	2	,	,	PUNCT
ijassa-426	113	3	it	it	PRON
ijassa-426	113	4	is	be	AUX
ijassa-426	113	5	almost	almost	ADV
ijassa-426	113	6	always	always	ADV
ijassa-426	113	7	profitable	profitable	ADJ
ijassa-426	113	8	for	for	SCONJ
ijassa-426	113	9	the	the	DET
ijassa-426	113	10	agent	agent	NOUN
ijassa-426	113	11	to	to	PART
ijassa-426	113	12	give	give	VERB
ijassa-426	113	13	the	the	DET
ijassa-426	113	14	bribe	bribe	NOUN
ijassa-426	113	15	b	b	NOUN
ijassa-426	113	16	=	=	SYM
ijassa-426	113	17	r0	r0	NOUN
ijassa-426	113	18	−	−	PROPN
ijassa-426	113	19	ε	ε	PROPN
ijassa-426	113	20	and	and	CCONJ
ijassa-426	113	21	to	to	PART
ijassa-426	113	22	receive	receive	VERB
ijassa-426	113	23	an	an	DET
ijassa-426	113	24	arbitrary	arbitrary	ADJ
ijassa-426	113	25	small	small	ADJ
ijassa-426	113	26	but	but	CCONJ
ijassa-426	113	27	positive	positive	ADJ
ijassa-426	113	28	tax	tax	NOUN
ijassa-426	113	29	economy	economy	NOUN
ijassa-426	113	30	ε	ε	PROPN
ijassa-426	113	31	.	.	PUNCT
ijassa-426	114	1	the	the	DET
ijassa-426	114	2	condition	condition	NOUN
ijassa-426	114	3	of	of	ADP
ijassa-426	114	4	effectiveness	effectiveness	NOUN
ijassa-426	114	5	of	of	ADP
ijassa-426	114	6	the	the	DET
ijassa-426	114	7	economic	economic	ADJ
ijassa-426	114	8	control	control	NOUN
ijassa-426	114	9	of	of	ADP
ijassa-426	114	10	corruption	corruption	NOUN
ijassa-426	114	11	is	be	AUX
ijassa-426	114	12	given	give	VERB
ijassa-426	114	13	by	by	ADP
ijassa-426	114	14	the	the	DET
ijassa-426	114	15	inequality	inequality	NOUN
ijassa-426	114	16	p	p	PROPN
ijassa-426	114	17	≥	≥	NUM
ijassa-426	114	18	1	1	NUM
ijassa-426	114	19	−	−	NOUN
ijassa-426	114	20	ε	ε	PROPN
ijassa-426	114	21	r0	r0	NOUN
ijassa-426	114	22	.	.	PUNCT
ijassa-426	115	1	however	however	ADV
ijassa-426	115	2	,	,	PUNCT
ijassa-426	115	3	it	it	PRON
ijassa-426	115	4	is	be	AUX
ijassa-426	115	5	hardly	hardly	ADV
ijassa-426	115	6	possible	possible	ADJ
ijassa-426	115	7	because	because	SCONJ
ijassa-426	115	8	in	in	ADP
ijassa-426	115	9	this	this	DET
ijassa-426	115	10	case	case	NOUN
ijassa-426	115	11	almost	almost	ADV
ijassa-426	115	12	all	all	PRON
ijassa-426	115	13	tax	tax	NOUN
ijassa-426	115	14	payments	payment	NOUN
ijassa-426	115	15	should	should	AUX
ijassa-426	115	16	be	be	AUX
ijassa-426	115	17	assigned	assign	VERB
ijassa-426	115	18	to	to	ADP
ijassa-426	115	19	the	the	DET
ijassa-426	115	20	supervisors	supervisor	NOUN
ijassa-426	115	21	reward	reward	VERB
ijassa-426	115	22	.	.	PUNCT
ijassa-426	116	1	thus	thus	ADV
ijassa-426	116	2	let	let	VERB
ijassa-426	116	3	’s	’s	NOUN
ijassa-426	116	4	consider	consider	VERB
ijassa-426	116	5	a	a	DET
ijassa-426	116	6	principal	principal	NOUN
ijassa-426	116	7	’s	’s	PART
ijassa-426	116	8	problem	problem	NOUN
ijassa-426	116	9	of	of	ADP
ijassa-426	116	10	the	the	DET
ijassa-426	116	11	administrative	administrative	ADJ
ijassa-426	116	12	(	(	PUNCT
ijassa-426	116	13	compulsive	compulsive	ADJ
ijassa-426	116	14	)	)	PUNCT
ijassa-426	116	15	control	control	NOUN
ijassa-426	116	16	of	of	ADP
ijassa-426	116	17	corruption	corruption	NOUN
ijassa-426	116	18	as	as	ADP
ijassa-426	116	19	a	a	DET
ijassa-426	116	20	hierarchical	hierarchical	ADJ
ijassa-426	116	21	three	three	NUM
ijassa-426	116	22	-	-	PUNCT
ijassa-426	116	23	person	person	NOUN
ijassa-426	116	24	game	game	NOUN
ijassa-426	116	25	in	in	ADP
ijassa-426	116	26	the	the	DET
ijassa-426	116	27	form	form	NOUN
ijassa-426	116	28	gp	gp	NOUN
ijassa-426	116	29	=	=	PUNCT
ijassa-426	116	30	c(q	c(q	PROPN
ijassa-426	116	31	)	)	PUNCT
ijassa-426	117	1	+	+	ADV
ijassa-426	117	2	k(r0	k(r0	ADP
ijassa-426	117	3	−	−	PRON
ijassa-426	117	4	r	r	NOUN
ijassa-426	117	5	)	)	PUNCT
ijassa-426	117	6	→	→	SYM
ijassa-426	117	7	min	min	PROPN
ijassa-426	117	8	,	,	PUNCT
ijassa-426	117	9	0	0	NUM
ijassa-426	117	10	≤	≤	NUM
ijassa-426	117	11	q	q	ADJ
ijassa-426	117	12	≤	≤	NUM
ijassa-426	117	13	r0	r0	NOUN
ijassa-426	117	14	(	(	PUNCT
ijassa-426	117	15	6	6	NUM
ijassa-426	117	16	)	)	PUNCT
ijassa-426	117	17	gs	gs	NOUN
ijassa-426	117	18	=	=	PUNCT
ijassa-426	117	19	b+	b+	X
ijassa-426	117	20	pr	pr	X
ijassa-426	117	21	→	→	SYM
ijassa-426	117	22	max	max	PROPN
ijassa-426	117	23	,	,	PUNCT
ijassa-426	117	24	q	q	PROPN
ijassa-426	117	25	≤	≤	NUM
ijassa-426	117	26	r	r	NOUN
ijassa-426	117	27	≤	≤	NOUN
ijassa-426	117	28	r0	r0	NOUN
ijassa-426	117	29	(	(	PUNCT
ijassa-426	117	30	7	7	NUM
ijassa-426	117	31	)	)	PUNCT
ijassa-426	117	32	ga	ga	NOUN
ijassa-426	117	33	=	=	PUNCT
ijassa-426	117	34	b+	b+	ADP
ijassa-426	117	35	r	r	NOUN
ijassa-426	117	36	→	→	SYM
ijassa-426	117	37	min	min	NOUN
ijassa-426	117	38	,	,	PUNCT
ijassa-426	117	39	0	0	NUM
ijassa-426	117	40	≤	≤	NUM
ijassa-426	117	41	b	b	X
ijassa-426	117	42	≤	≤	NUM
ijassa-426	117	43	1	1	NUM
ijassa-426	117	44	(	(	PUNCT
ijassa-426	117	45	8)	8)	NUM
ijassa-426	117	46	here	here	ADV
ijassa-426	117	47	q	q	X
ijassa-426	117	48	is	be	AUX
ijassa-426	117	49	a	a	DET
ijassa-426	117	50	variable	variable	NOUN
ijassa-426	117	51	of	of	ADP
ijassa-426	117	52	the	the	DET
ijassa-426	117	53	principal	principal	NOUN
ijassa-426	117	54	’s	’s	PART
ijassa-426	117	55	administrative	administrative	ADJ
ijassa-426	117	56	control	control	NOUN
ijassa-426	117	57	that	that	PRON
ijassa-426	117	58	constraints	constraint	VERB
ijassa-426	117	59	from	from	ADP
ijassa-426	117	60	below	below	ADP
ijassa-426	117	61	the	the	DET
ijassa-426	117	62	ability	ability	NOUN
ijassa-426	117	63	of	of	ADP
ijassa-426	117	64	supervisor	supervisor	NOUN
ijassa-426	117	65	’s	’s	PART
ijassa-426	117	66	corrupted	corrupted	ADJ
ijassa-426	117	67	behavior	behavior	NOUN
ijassa-426	117	68	;	;	PUNCT
ijassa-426	117	69	c(q	c(q	PROPN
ijassa-426	117	70	)	)	PUNCT
ijassa-426	117	71	is	be	AUX
ijassa-426	117	72	an	an	DET
ijassa-426	117	73	increasing	increase	VERB
ijassa-426	117	74	convex	convex	NOUN
ijassa-426	117	75	principal	principal	NOUN
ijassa-426	117	76	’s	’s	PART
ijassa-426	117	77	control	control	NOUN
ijassa-426	117	78	cost	cost	NOUN
ijassa-426	117	79	function	function	NOUN
ijassa-426	117	80	,	,	PUNCT
ijassa-426	117	81	c(0	c(0	NOUN
ijassa-426	117	82	)	)	PUNCT
ijassa-426	117	83	=	=	SYM
ijassa-426	117	84	0	0	NUM
ijassa-426	117	85	,	,	PUNCT
ijassa-426	117	86	c(r0	c(r0	NOUN
ijassa-426	117	87	)	)	PUNCT
ijassa-426	118	1	=	=	SYM
ijassa-426	118	2	∞	∞	PROPN
ijassa-426	118	3	is	be	AUX
ijassa-426	118	4	a	a	DET
ijassa-426	118	5	parameter	parameter	NOUN
ijassa-426	118	6	of	of	ADP
ijassa-426	118	7	the	the	DET
ijassa-426	118	8	penalty	penalty	NOUN
ijassa-426	118	9	charged	charge	VERB
ijassa-426	118	10	on	on	ADP
ijassa-426	118	11	the	the	DET
ijassa-426	118	12	supervisor	supervisor	NOUN
ijassa-426	118	13	if	if	SCONJ
ijassa-426	118	14	the	the	DET
ijassa-426	118	15	condition	condition	NOUN
ijassa-426	118	16	of	of	ADP
ijassa-426	118	17	sustainable	sustainable	ADJ
ijassa-426	118	18	development	development	NOUN
ijassa-426	118	19	r	r	NOUN
ijassa-426	118	20	=	=	NOUN
ijassa-426	118	21	r0	r0	NOUN
ijassa-426	118	22	is	be	AUX
ijassa-426	118	23	violated	violate	VERB
ijassa-426	118	24	.	.	PUNCT
ijassa-426	119	1	now	now	ADV
ijassa-426	119	2	the	the	DET
ijassa-426	119	3	solution	solution	NOUN
ijassa-426	119	4	of	of	ADP
ijassa-426	119	5	the	the	DET
ijassa-426	119	6	hierarchical	hierarchical	ADJ
ijassa-426	119	7	game	game	NOUN
ijassa-426	119	8	(	(	PUNCT
ijassa-426	119	9	7)-(8	7)-(8	NOUN
ijassa-426	119	10	)	)	PUNCT
ijassa-426	119	11	takes	take	VERB
ijassa-426	119	12	the	the	DET
ijassa-426	119	13	form	form	NOUN
ijassa-426	119	14	r̃ε(b	r̃ε(b	PROPN
ijassa-426	119	15	)	)	PUNCT
ijassa-426	120	1	=	=	PRON
ijassa-426	120	2	{	{	PUNCT
ijassa-426	120	3	q	q	NOUN
ijassa-426	120	4	,	,	PUNCT
ijassa-426	120	5	b	b	NOUN
ijassa-426	120	6	=	=	SYM
ijassa-426	120	7	r0	r0	NOUN
ijassa-426	120	8	−	−	PROPN
ijassa-426	121	1	ε	ε	PROPN
ijassa-426	121	2	∧	∧	PROPN
ijassa-426	121	3	p	p	X
ijassa-426	121	4	<	<	X
ijassa-426	121	5	1−	1−	NUM
ijassa-426	121	6	ε	ε	PROPN
ijassa-426	121	7	r0	r0	NOUN
ijassa-426	121	8	,	,	PUNCT
ijassa-426	121	9	r0	r0	NOUN
ijassa-426	121	10	,	,	PUNCT
ijassa-426	121	11	otherwise	otherwise	ADV
ijassa-426	121	12	.	.	PUNCT
ijassa-426	122	1	the	the	DET
ijassa-426	122	2	first	first	ADJ
ijassa-426	122	3	-	-	PUNCT
ijassa-426	122	4	order	order	NOUN
ijassa-426	122	5	condition	condition	NOUN
ijassa-426	122	6	for	for	ADP
ijassa-426	122	7	the	the	DET
ijassa-426	122	8	problem	problem	NOUN
ijassa-426	122	9	(	(	PUNCT
ijassa-426	122	10	6	6	NUM
ijassa-426	122	11	)	)	PUNCT
ijassa-426	122	12	gives	give	VERB
ijassa-426	122	13	q̂	q̂	PUNCT
ijassa-426	122	14	=	=	X
ijassa-426	122	15	(	(	PUNCT
ijassa-426	122	16	c	c	NOUN
ijassa-426	122	17	′)−1(k	′)−1(k	NOUN
ijassa-426	122	18	)	)	PUNCT
ijassa-426	122	19	.	.	PUNCT
ijassa-426	123	1	the	the	DET
ijassa-426	123	2	values	value	NOUN
ijassa-426	123	3	of	of	ADP
ijassa-426	123	4	the	the	DET
ijassa-426	123	5	objective	objective	ADJ
ijassa-426	123	6	function	function	NOUN
ijassa-426	123	7	in	in	ADP
ijassa-426	123	8	this	this	DET
ijassa-426	123	9	point	point	NOUN
ijassa-426	123	10	and	and	CCONJ
ijassa-426	123	11	in	in	ADP
ijassa-426	123	12	the	the	DET
ijassa-426	123	13	ends	end	NOUN
ijassa-426	123	14	of	of	ADP
ijassa-426	123	15	the	the	DET
ijassa-426	123	16	admissible	admissible	ADJ
ijassa-426	123	17	segment	segment	NOUN
ijassa-426	123	18	are	be	AUX
ijassa-426	123	19	equal	equal	ADJ
ijassa-426	123	20	to	to	ADP
ijassa-426	123	21	gp(q̂	gp(q̂	VERB
ijassa-426	123	22	)	)	PUNCT
ijassa-426	123	23	=	=	SYM
ijassa-426	123	24	c	c	NOUN
ijassa-426	123	25	′(k	′(k	PRON
ijassa-426	123	26	)	)	PUNCT
ijassa-426	124	1	+	+	CCONJ
ijassa-426	124	2	k(r0	k(r0	ADP
ijassa-426	124	3	−	−	PRON
ijassa-426	124	4	r	r	NOUN
ijassa-426	124	5	)	)	PUNCT
ijassa-426	124	6	,	,	PUNCT
ijassa-426	124	7	gp(0	gp(0	NOUN
ijassa-426	124	8	)	)	PUNCT
ijassa-426	124	9	=	=	SYM
ijassa-426	124	10	kr0	kr0	ADJ
ijassa-426	124	11	,	,	PUNCT
ijassa-426	124	12	gp(r0	gp(r0	NOUN
ijassa-426	124	13	)	)	PUNCT
ijassa-426	124	14	=	=	SYM
ijassa-426	124	15	c(r0	c(r0	NOUN
ijassa-426	124	16	)	)	PUNCT
ijassa-426	124	17	.	.	PUNCT
ijassa-426	125	1	having	have	VERB
ijassa-426	125	2	that	that	PRON
ijassa-426	125	3	k	k	PROPN
ijassa-426	125	4	≫	≫	PROPN
ijassa-426	125	5	1	1	NUM
ijassa-426	125	6	or	or	CCONJ
ijassa-426	125	7	even	even	ADV
ijassa-426	125	8	k	k	PROPN
ijassa-426	125	9	→	→	SYM
ijassa-426	125	10	∞	∞	PROPN
ijassa-426	125	11	,	,	PUNCT
ijassa-426	125	12	i.e.	i.e.	X
ijassa-426	125	13	the	the	DET
ijassa-426	125	14	condition	condition	NOUN
ijassa-426	125	15	of	of	ADP
ijassa-426	125	16	sustainable	sustainable	ADJ
ijassa-426	125	17	development	development	NOUN
ijassa-426	125	18	is	be	AUX
ijassa-426	125	19	unalterable	unalterable	ADJ
ijassa-426	125	20	for	for	ADP
ijassa-426	125	21	the	the	DET
ijassa-426	125	22	principal	principal	NOUN
ijassa-426	125	23	,	,	PUNCT
ijassa-426	125	24	we	we	PRON
ijassa-426	125	25	get	get	VERB
ijassa-426	125	26	that	that	SCONJ
ijassa-426	125	27	his	his	PRON
ijassa-426	125	28	objective	objective	ADJ
ijassa-426	125	29	function	function	NOUN
ijassa-426	125	30	reaches	reach	VERB
ijassa-426	125	31	its	its	PRON
ijassa-426	125	32	maximum	maximum	NOUN
ijassa-426	125	33	when	when	SCONJ
ijassa-426	125	34	q	q	NOUN
ijassa-426	125	35	=	=	SYM
ijassa-426	125	36	r0	r0	NOUN
ijassa-426	125	37	therefore	therefore	ADV
ijassa-426	125	38	the	the	DET
ijassa-426	125	39	supervisor	supervisor	NOUN
ijassa-426	125	40	’s	’s	PART
ijassa-426	125	41	optimal	optimal	ADJ
ijassa-426	125	42	strategy	strategy	NOUN
ijassa-426	125	43	is	be	AUX
ijassa-426	125	44	identically	identically	ADV
ijassa-426	125	45	equal	equal	ADJ
ijassa-426	125	46	to	to	ADP
ijassa-426	125	47	r0	r0	VERB
ijassa-426	125	48	,	,	PUNCT
ijassa-426	125	49	the	the	DET
ijassa-426	125	50	condition	condition	NOUN
ijassa-426	125	51	of	of	ADP
ijassa-426	125	52	sustainable	sustainable	ADJ
ijassa-426	125	53	development	development	NOUN
ijassa-426	125	54	is	be	AUX
ijassa-426	125	55	satisfied	satisfied	ADJ
ijassa-426	125	56	and	and	CCONJ
ijassa-426	125	57	corruption	corruption	NOUN
ijassa-426	125	58	is	be	AUX
ijassa-426	125	59	absent	absent	ADJ
ijassa-426	125	60	.	.	PUNCT
ijassa-426	126	1	thus	thus	ADV
ijassa-426	126	2	,	,	PUNCT
ijassa-426	126	3	in	in	ADP
ijassa-426	126	4	this	this	DET
ijassa-426	126	5	model	model	NOUN
ijassa-426	126	6	the	the	DET
ijassa-426	126	7	administrative	administrative	ADJ
ijassa-426	126	8	control	control	NOUN
ijassa-426	126	9	of	of	ADP
ijassa-426	126	10	corruption	corruption	NOUN
ijassa-426	126	11	is	be	AUX
ijassa-426	126	12	more	more	ADV
ijassa-426	126	13	effective	effective	ADJ
ijassa-426	126	14	than	than	ADP
ijassa-426	126	15	the	the	DET
ijassa-426	126	16	economic	economic	ADJ
ijassa-426	126	17	one	one	NUM
ijassa-426	126	18	.	.	PUNCT
ijassa-426	127	1	3.2	3.2	NUM
ijassa-426	127	2	static	static	ADJ
ijassa-426	127	3	models	model	NOUN
ijassa-426	127	4	of	of	ADP
ijassa-426	127	5	administrative	administrative	ADJ
ijassa-426	127	6	corruption	corruption	NOUN
ijassa-426	127	7	the	the	DET
ijassa-426	127	8	basic	basic	ADJ
ijassa-426	127	9	optimization	optimization	NOUN
ijassa-426	127	10	model	model	NOUN
ijassa-426	127	11	of	of	ADP
ijassa-426	127	12	administrative	administrative	ADJ
ijassa-426	127	13	corruption	corruption	NOUN
ijassa-426	127	14	has	have	VERB
ijassa-426	127	15	the	the	DET
ijassa-426	127	16	initial	initial	ADJ
ijassa-426	127	17	form	form	NOUN
ijassa-426	127	18	ga(u	ga(u	ADP
ijassa-426	127	19	,	,	PUNCT
ijassa-426	127	20	b	b	X
ijassa-426	127	21	)	)	PUNCT
ijassa-426	127	22	=	=	SYM
ijassa-426	127	23	(	(	PUNCT
ijassa-426	127	24	1−	1−	NUM
ijassa-426	127	25	b)f(u	b)f(u	NOUN
ijassa-426	127	26	)	)	PUNCT
ijassa-426	127	27	→	→	SYM
ijassa-426	127	28	max	max	PROPN
ijassa-426	127	29	(	(	PUNCT
ijassa-426	127	30	9	9	X
ijassa-426	127	31	)	)	PUNCT
ijassa-426	127	32	advances	advance	NOUN
ijassa-426	127	33	in	in	ADP
ijassa-426	127	34	systems	system	NOUN
ijassa-426	127	35	science	science	NOUN
ijassa-426	127	36	and	and	CCONJ
ijassa-426	127	37	applications	application	NOUN
ijassa-426	127	38	(	(	PUNCT
ijassa-426	127	39	2013	2013	NUM
ijassa-426	127	40	)	)	PUNCT
ijassa-426	127	41	vol.13	vol.13	NOUN
ijassa-426	127	42	no.1	no.1	VERB
ijassa-426	127	43	43	43	NUM
ijassa-426	127	44	0	0	NUM
ijassa-426	127	45	≤	≤	NUM
ijassa-426	127	46	u	u	NOUN
ijassa-426	127	47	≤	≤	NOUN
ijassa-426	127	48	s(b	s(b	NOUN
ijassa-426	127	49	)	)	PUNCT
ijassa-426	127	50	,	,	PUNCT
ijassa-426	127	51	0	0	NUM
ijassa-426	127	52	≤	≤	NUM
ijassa-426	127	53	b	b	X
ijassa-426	127	54	≤	≤	NUM
ijassa-426	127	55	1	1	NUM
ijassa-426	127	56	(	(	PUNCT
ijassa-426	127	57	10	10	NUM
ijassa-426	127	58	)	)	PUNCT
ijassa-426	127	59	where	where	SCONJ
ijassa-426	127	60	b	b	NOUN
ijassa-426	127	61	is	be	AUX
ijassa-426	127	62	a	a	DET
ijassa-426	127	63	part	part	NOUN
ijassa-426	127	64	of	of	ADP
ijassa-426	127	65	the	the	DET
ijassa-426	127	66	bribe	bribe	NOUN
ijassa-426	127	67	,	,	PUNCT
ijassa-426	127	68	u	u	NOUN
ijassa-426	127	69	is	be	AUX
ijassa-426	127	70	the	the	DET
ijassa-426	127	71	agent	agent	NOUN
ijassa-426	127	72	’s	’s	PART
ijassa-426	127	73	action	action	NOUN
ijassa-426	127	74	,	,	PUNCT
ijassa-426	127	75	f(u	f(u	PROPN
ijassa-426	127	76	)	)	PUNCT
ijassa-426	127	77	is	be	AUX
ijassa-426	127	78	the	the	DET
ijassa-426	127	79	agent	agent	NOUN
ijassa-426	127	80	(	(	PUNCT
ijassa-426	127	81	bribegiver)/s	bribegiver)/s	PROPN
ijassa-426	127	82	production	production	NOUN
ijassa-426	127	83	function	function	NOUN
ijassa-426	127	84	,	,	PUNCT
ijassa-426	127	85	s(b	s(b	PROPN
ijassa-426	127	86	)	)	PUNCT
ijassa-426	127	87	is	be	AUX
ijassa-426	127	88	a	a	DET
ijassa-426	127	89	quota	quota	NOUN
ijassa-426	127	90	that	that	PRON
ijassa-426	127	91	constraints	constraint	VERB
ijassa-426	127	92	the	the	DET
ijassa-426	127	93	agent	agent	NOUN
ijassa-426	127	94	’s	’s	PART
ijassa-426	127	95	action	action	NOUN
ijassa-426	127	96	from	from	ADP
ijassa-426	127	97	above	above	ADV
ijassa-426	127	98	and	and	CCONJ
ijassa-426	127	99	may	may	AUX
ijassa-426	127	100	be	be	AUX
ijassa-426	127	101	extended	extend	VERB
ijassa-426	127	102	for	for	ADP
ijassa-426	127	103	the	the	DET
ijassa-426	127	104	bribe	bribe	NOUN
ijassa-426	127	105	.	.	PUNCT
ijassa-426	128	1	having	have	VERB
ijassa-426	128	2	that	that	SCONJ
ijassa-426	128	3	the	the	DET
ijassa-426	128	4	production	production	NOUN
ijassa-426	128	5	function	function	NOUN
ijassa-426	128	6	increases	increase	VERB
ijassa-426	128	7	its	its	PRON
ijassa-426	128	8	maximum	maximum	NOUN
ijassa-426	128	9	is	be	AUX
ijassa-426	128	10	always	always	ADV
ijassa-426	128	11	reached	reach	VERB
ijassa-426	128	12	in	in	ADP
ijassa-426	128	13	the	the	DET
ijassa-426	128	14	right	right	ADJ
ijassa-426	128	15	end	end	NOUN
ijassa-426	128	16	of	of	ADP
ijassa-426	128	17	the	the	DET
ijassa-426	128	18	admissible	admissible	ADJ
ijassa-426	128	19	segment	segment	NOUN
ijassa-426	128	20	.	.	PUNCT
ijassa-426	129	1	therefore	therefore	ADV
ijassa-426	129	2	the	the	DET
ijassa-426	129	3	model	model	NOUN
ijassa-426	129	4	(	(	PUNCT
ijassa-426	129	5	9)-(10	9)-(10	NOUN
ijassa-426	129	6	)	)	PUNCT
ijassa-426	129	7	can	can	AUX
ijassa-426	129	8	be	be	AUX
ijassa-426	129	9	represented	represent	VERB
ijassa-426	129	10	as	as	ADP
ijassa-426	129	11	an	an	DET
ijassa-426	129	12	optimization	optimization	NOUN
ijassa-426	129	13	problem	problem	NOUN
ijassa-426	129	14	with	with	ADP
ijassa-426	129	15	one	one	NUM
ijassa-426	129	16	variable	variable	ADJ
ijassa-426	129	17	g(b	g(b	NOUN
ijassa-426	129	18	)	)	PUNCT
ijassa-426	129	19	=	=	PUNCT
ijassa-426	129	20	(	(	PUNCT
ijassa-426	129	21	1−	1−	NUM
ijassa-426	129	22	b)f(s(b	b)f(s(b	NOUN
ijassa-426	129	23	)	)	PUNCT
ijassa-426	129	24	)	)	PUNCT
ijassa-426	130	1	→	→	SYM
ijassa-426	130	2	max	max	PROPN
ijassa-426	130	3	,	,	PUNCT
ijassa-426	130	4	0	0	NUM
ijassa-426	131	1	≤	≤	NUM
ijassa-426	131	2	b	b	X
ijassa-426	131	3	≤	≤	NUM
ijassa-426	131	4	1	1	NUM
ijassa-426	131	5	(	(	PUNCT
ijassa-426	131	6	11	11	NUM
ijassa-426	131	7	)	)	PUNCT
ijassa-426	131	8	in	in	ADP
ijassa-426	131	9	case	case	NOUN
ijassa-426	131	10	of	of	ADP
ijassa-426	131	11	the	the	DET
ijassa-426	131	12	linear	linear	ADJ
ijassa-426	131	13	parameterization	parameterization	NOUN
ijassa-426	131	14	of	of	ADP
ijassa-426	131	15	the	the	DET
ijassa-426	131	16	function	function	NOUN
ijassa-426	131	17	of	of	ADP
ijassa-426	131	18	administrative	administrative	ADJ
ijassa-426	131	19	corruption	corruption	NOUN
ijassa-426	131	20	s(b	s(b	NOUN
ijassa-426	131	21	)	)	PUNCT
ijassa-426	131	22	=	=	SYM
ijassa-426	131	23	s0	s0	PROPN
ijassa-426	131	24	+	+	CCONJ
ijassa-426	131	25	ab	ab	PROPN
ijassa-426	131	26	,	,	PUNCT
ijassa-426	131	27	where	where	SCONJ
ijassa-426	131	28	s0	s0	PROPN
ijassa-426	131	29	is	be	AUX
ijassa-426	131	30	the	the	DET
ijassa-426	131	31	official	official	ADJ
ijassa-426	131	32	value	value	NOUN
ijassa-426	131	33	of	of	ADP
ijassa-426	131	34	quota	quota	NOUN
ijassa-426	131	35	(	(	PUNCT
ijassa-426	131	36	notice	notice	VERB
ijassa-426	131	37	that	that	SCONJ
ijassa-426	131	38	the	the	DET
ijassa-426	131	39	function	function	NOUN
ijassa-426	131	40	monotonically	monotonically	ADV
ijassa-426	131	41	increases	increase	VERB
ijassa-426	131	42	when	when	SCONJ
ijassa-426	131	43	0	0	NUM
ijassa-426	131	44	≤	≤	NUM
ijassa-426	131	45	b	b	X
ijassa-426	131	46	≤	≤	NUM
ijassa-426	131	47	1	1	NUM
ijassa-426	131	48	because	because	SCONJ
ijassa-426	131	49	it	it	PRON
ijassa-426	131	50	describes	describe	VERB
ijassa-426	131	51	the	the	DET
ijassa-426	131	52	quota	quota	NOUN
ijassa-426	131	53	extension	extension	NOUN
ijassa-426	131	54	in	in	ADP
ijassa-426	131	55	exchange	exchange	NOUN
ijassa-426	131	56	for	for	ADP
ijassa-426	131	57	the	the	DET
ijassa-426	131	58	bribe	bribe	NOUN
ijassa-426	131	59	)	)	PUNCT
ijassa-426	131	60	and	and	CCONJ
ijassa-426	131	61	the	the	DET
ijassa-426	131	62	linear	linear	ADJ
ijassa-426	131	63	production	production	NOUN
ijassa-426	131	64	function	function	NOUN
ijassa-426	131	65	f(x	f(x	PROPN
ijassa-426	131	66	)	)	PUNCT
ijassa-426	132	1	=	=	PUNCT
ijassa-426	133	1	x	x	PUNCT
ijassa-426	133	2	the	the	DET
ijassa-426	133	3	model	model	NOUN
ijassa-426	133	4	(	(	PUNCT
ijassa-426	133	5	11	11	NUM
ijassa-426	133	6	)	)	PUNCT
ijassa-426	133	7	takes	take	VERB
ijassa-426	133	8	the	the	DET
ijassa-426	133	9	form	form	NOUN
ijassa-426	133	10	g(b	g(b	NOUN
ijassa-426	133	11	)	)	PUNCT
ijassa-426	133	12	=	=	PUNCT
ijassa-426	133	13	(	(	PUNCT
ijassa-426	133	14	1−	1−	NUM
ijassa-426	133	15	b)(s0	b)(s0	PROPN
ijassa-426	134	1	+	+	NOUN
ijassa-426	134	2	ab	ab	PROPN
ijassa-426	134	3	)	)	PUNCT
ijassa-426	134	4	→	→	SYM
ijassa-426	134	5	max	max	PROPN
ijassa-426	134	6	,	,	PUNCT
ijassa-426	134	7	0	0	NUM
ijassa-426	134	8	≤	≤	NUM
ijassa-426	134	9	b	b	X
ijassa-426	134	10	≤	≤	NUM
ijassa-426	134	11	1	1	NUM
ijassa-426	134	12	(	(	PUNCT
ijassa-426	134	13	12	12	NUM
ijassa-426	134	14	)	)	PUNCT
ijassa-426	134	15	as	as	ADP
ijassa-426	134	16	in	in	ADP
ijassa-426	134	17	the	the	DET
ijassa-426	134	18	case	case	NOUN
ijassa-426	134	19	of	of	ADP
ijassa-426	134	20	economic	economic	ADJ
ijassa-426	134	21	corruption	corruption	NOUN
ijassa-426	134	22	,	,	PUNCT
ijassa-426	134	23	the	the	DET
ijassa-426	134	24	parameter	parameter	NOUN
ijassa-426	134	25	determines	determine	VERB
ijassa-426	134	26	the	the	DET
ijassa-426	134	27	qualitative	qualitative	ADJ
ijassa-426	134	28	characteristics	characteristic	NOUN
ijassa-426	134	29	of	of	ADP
ijassa-426	134	30	the	the	DET
ijassa-426	134	31	bribe	bribe	NOUN
ijassa-426	134	32	-	-	PUNCT
ijassa-426	134	33	taker	taker	NOUN
ijassa-426	134	34	’s	’s	PART
ijassa-426	134	35	behavior	behavior	NOUN
ijassa-426	134	36	.	.	PUNCT
ijassa-426	135	1	if	if	SCONJ
ijassa-426	135	2	=	=	SYM
ijassa-426	135	3	0	0	NUM
ijassa-426	135	4	then	then	ADV
ijassa-426	135	5	corruption	corruption	NOUN
ijassa-426	135	6	is	be	AUX
ijassa-426	135	7	completely	completely	ADV
ijassa-426	135	8	absent	absent	ADJ
ijassa-426	135	9	.	.	PUNCT
ijassa-426	136	1	as	as	ADP
ijassa-426	136	2	the	the	DET
ijassa-426	136	3	value	value	NOUN
ijassa-426	136	4	of	of	ADP
ijassa-426	136	5	increases	increase	NOUN
ijassa-426	136	6	,	,	PUNCT
ijassa-426	136	7	the	the	DET
ijassa-426	136	8	bribe	bribe	NOUN
ijassa-426	136	9	-	-	PUNCT
ijassa-426	136	10	taker	taker	NOUN
ijassa-426	136	11	’s	’s	PART
ijassa-426	136	12	tractability	tractability	NOUN
ijassa-426	136	13	also	also	ADV
ijassa-426	136	14	increases	increase	VERB
ijassa-426	136	15	and	and	CCONJ
ijassa-426	136	16	his	his	PRON
ijassa-426	136	17	greed	greed	NOUN
ijassa-426	136	18	decreases	decrease	VERB
ijassa-426	136	19	.	.	PUNCT
ijassa-426	137	1	the	the	DET
ijassa-426	137	2	threshold	threshold	NOUN
ijassa-426	137	3	value	value	NOUN
ijassa-426	137	4	is	be	AUX
ijassa-426	137	5	a	a	DET
ijassa-426	137	6	=	=	SYM
ijassa-426	137	7	1	1	NUM
ijassa-426	137	8	−	−	NOUN
ijassa-426	137	9	s0	s0	NOUN
ijassa-426	137	10	:	:	PUNCT
ijassa-426	137	11	in	in	ADP
ijassa-426	137	12	this	this	DET
ijassa-426	137	13	case	case	NOUN
ijassa-426	137	14	s(1	s(1	PROPN
ijassa-426	137	15	)	)	PUNCT
ijassa-426	137	16	=	=	SYM
ijassa-426	137	17	1	1	NUM
ijassa-426	137	18	,	,	PUNCT
ijassa-426	137	19	i.e.	i.e.	X
ijassa-426	137	20	the	the	DET
ijassa-426	137	21	maximal	maximal	ADJ
ijassa-426	137	22	greed	greed	NOUN
ijassa-426	137	23	ensures	ensure	VERB
ijassa-426	137	24	the	the	DET
ijassa-426	137	25	maximal	maximal	ADJ
ijassa-426	137	26	tractability	tractability	NOUN
ijassa-426	137	27	.	.	PUNCT
ijassa-426	138	1	if	if	SCONJ
ijassa-426	138	2	a	a	DET
ijassa-426	138	3	<	<	X
ijassa-426	138	4	1	1	NUM
ijassa-426	138	5	−	−	PROPN
ijassa-426	138	6	s0	s0	NOUN
ijassa-426	138	7	then	then	ADV
ijassa-426	138	8	the	the	DET
ijassa-426	138	9	greed	greed	NOUN
ijassa-426	138	10	is	be	AUX
ijassa-426	138	11	over	over	ADV
ijassa-426	138	12	-	-	PUNCT
ijassa-426	138	13	limited	limit	VERB
ijassa-426	138	14	and	and	CCONJ
ijassa-426	138	15	the	the	DET
ijassa-426	138	16	tractability	tractability	NOUN
ijassa-426	138	17	does	do	AUX
ijassa-426	138	18	not	not	PART
ijassa-426	138	19	reach	reach	VERB
ijassa-426	138	20	the	the	DET
ijassa-426	138	21	maximal	maximal	ADJ
ijassa-426	138	22	value	value	NOUN
ijassa-426	138	23	(	(	PUNCT
ijassa-426	138	24	i.e.	i.e.	X
ijassa-426	138	25	any	any	DET
ijassa-426	138	26	bribe	bribe	NOUN
ijassa-426	138	27	nevertheless	nevertheless	ADV
ijassa-426	138	28	requires	require	VERB
ijassa-426	138	29	to	to	PART
ijassa-426	138	30	obey	obey	VERB
ijassa-426	138	31	a	a	DET
ijassa-426	138	32	quota	quota	NOUN
ijassa-426	138	33	strictly	strictly	ADV
ijassa-426	138	34	less	less	ADJ
ijassa-426	138	35	than	than	ADP
ijassa-426	138	36	1	1	NUM
ijassa-426	138	37	)	)	PUNCT
ijassa-426	138	38	.	.	PUNCT
ijassa-426	139	1	when	when	SCONJ
ijassa-426	139	2	a	a	DET
ijassa-426	139	3	>	>	X
ijassa-426	139	4	1−s0	1−s0	NUM
ijassa-426	139	5	,	,	PUNCT
ijassa-426	139	6	the	the	DET
ijassa-426	139	7	agent	agent	NOUN
ijassa-426	139	8	can	can	AUX
ijassa-426	139	9	ignore	ignore	VERB
ijassa-426	139	10	the	the	DET
ijassa-426	139	11	quota	quota	NOUN
ijassa-426	139	12	completely	completely	ADV
ijassa-426	139	13	in	in	ADP
ijassa-426	139	14	exchange	exchange	NOUN
ijassa-426	139	15	for	for	ADP
ijassa-426	139	16	a	a	DET
ijassa-426	139	17	moderate	moderate	ADJ
ijassa-426	139	18	bribe	bribe	NOUN
ijassa-426	139	19	(	(	PUNCT
ijassa-426	139	20	maximal	maximal	ADJ
ijassa-426	139	21	tractability	tractability	NOUN
ijassa-426	139	22	and	and	CCONJ
ijassa-426	139	23	small	small	ADJ
ijassa-426	139	24	greed	greed	NOUN
ijassa-426	139	25	)	)	PUNCT
ijassa-426	139	26	.	.	PUNCT
ijassa-426	140	1	return	return	VERB
ijassa-426	140	2	to	to	ADP
ijassa-426	140	3	the	the	DET
ijassa-426	140	4	solution	solution	NOUN
ijassa-426	140	5	of	of	ADP
ijassa-426	140	6	the	the	DET
ijassa-426	140	7	problem	problem	NOUN
ijassa-426	140	8	(	(	PUNCT
ijassa-426	140	9	12	12	NUM
ijassa-426	140	10	)	)	PUNCT
ijassa-426	140	11	.	.	PUNCT
ijassa-426	141	1	we	we	PRON
ijassa-426	141	2	have	have	VERB
ijassa-426	141	3	g(0	g(0	NOUN
ijassa-426	141	4	)	)	PUNCT
ijassa-426	141	5	=	=	SYM
ijassa-426	141	6	s0	s0	PROPN
ijassa-426	141	7	,	,	PUNCT
ijassa-426	141	8	g(1	g(1	PROPN
ijassa-426	141	9	)	)	PUNCT
ijassa-426	141	10	=	=	SYM
ijassa-426	141	11	0	0	NUM
ijassa-426	141	12	,	,	PUNCT
ijassa-426	141	13	dg(b	dg(b	NUM
ijassa-426	141	14	)	)	PUNCT
ijassa-426	141	15	db	db	PROPN
ijassa-426	141	16	=	=	SYM
ijassa-426	141	17	a−	a−	PROPN
ijassa-426	141	18	s0	s0	NOUN
ijassa-426	141	19	−	−	PROPN
ijassa-426	141	20	2ab	2ab	NOUN
ijassa-426	141	21	,	,	PUNCT
ijassa-426	141	22	d2g(b	d2g(b	PROPN
ijassa-426	141	23	)	)	PUNCT
ijassa-426	141	24	db2	db2	PROPN
ijassa-426	141	25	=	=	SYM
ijassa-426	141	26	−2a	−2a	X
ijassa-426	141	27	<	<	X
ijassa-426	141	28	0	0	NUM
ijassa-426	141	29	,	,	PUNCT
ijassa-426	141	30	therefore	therefore	ADV
ijassa-426	141	31	b∗	b∗	ADJ
ijassa-426	141	32	=	=	PRON
ijassa-426	141	33	a−s0	a−s0	PUNCT
ijassa-426	141	34	2a	2a	NUM
ijassa-426	141	35	is	be	AUX
ijassa-426	141	36	the	the	DET
ijassa-426	141	37	point	point	NOUN
ijassa-426	141	38	of	of	ADP
ijassa-426	141	39	maximum	maximum	ADJ
ijassa-426	141	40	,	,	PUNCT
ijassa-426	141	41	g(b∗	g(b∗	X
ijassa-426	141	42	)	)	PUNCT
ijassa-426	142	1	=	=	PUNCT
ijassa-426	142	2	(	(	PUNCT
ijassa-426	142	3	a+s0)2	a+s0)2	INTJ
ijassa-426	142	4	4a	4a	NOUN
ijassa-426	142	5	≥	≥	NOUN
ijassa-426	142	6	g(0	g(0	PROPN
ijassa-426	142	7	)	)	PUNCT
ijassa-426	142	8	.	.	PUNCT
ijassa-426	143	1	notice	notice	VERB
ijassa-426	143	2	that	that	SCONJ
ijassa-426	143	3	b∗	b∗	ADJ
ijassa-426	143	4	{	{	PUNCT
ijassa-426	143	5	>	>	X
ijassa-426	143	6	0	0	NUM
ijassa-426	143	7	,	,	PUNCT
ijassa-426	143	8	a	a	DET
ijassa-426	143	9	>	>	X
ijassa-426	143	10	s0	s0	PROPN
ijassa-426	143	11	,	,	PUNCT
ijassa-426	143	12	<	<	X
ijassa-426	143	13	0	0	NUM
ijassa-426	143	14	,	,	PUNCT
ijassa-426	143	15	a	a	DET
ijassa-426	143	16	<	<	X
ijassa-426	143	17	s0	s0	PROPN
ijassa-426	143	18	,	,	PUNCT
ijassa-426	143	19	,	,	PUNCT
ijassa-426	143	20	and	and	CCONJ
ijassa-426	143	21	gmax	gmax	NOUN
ijassa-426	143	22	=	=	SYM
ijassa-426	143	23	{	{	PUNCT
ijassa-426	143	24	g(b∗	g(b∗	X
ijassa-426	143	25	)	)	PUNCT
ijassa-426	143	26	,	,	PUNCT
ijassa-426	143	27	a	a	DET
ijassa-426	143	28	>	>	X
ijassa-426	143	29	s0	s0	PROPN
ijassa-426	143	30	,	,	PUNCT
ijassa-426	143	31	g(0	g(0	PROPN
ijassa-426	143	32	)	)	PUNCT
ijassa-426	143	33	,	,	PUNCT
ijassa-426	143	34	a	a	DET
ijassa-426	143	35	<	<	X
ijassa-426	143	36	s0	s0	PROPN
ijassa-426	143	37	.	.	PUNCT
ijassa-426	144	1	so	so	ADV
ijassa-426	144	2	,	,	PUNCT
ijassa-426	144	3	the	the	DET
ijassa-426	144	4	parameter	parameter	NOUN
ijassa-426	144	5	again	again	ADV
ijassa-426	144	6	plays	play	VERB
ijassa-426	144	7	the	the	DET
ijassa-426	144	8	key	key	ADJ
ijassa-426	144	9	role	role	NOUN
ijassa-426	144	10	and	and	CCONJ
ijassa-426	144	11	determines	determine	VERB
ijassa-426	144	12	two	two	NUM
ijassa-426	144	13	qualitatively	qualitatively	ADV
ijassa-426	144	14	different	different	ADJ
ijassa-426	144	15	behavior	behavior	NOUN
ijassa-426	144	16	strategies	strategy	NOUN
ijassa-426	144	17	of	of	ADP
ijassa-426	144	18	the	the	DET
ijassa-426	144	19	agent	agent	NOUN
ijassa-426	144	20	.	.	PUNCT
ijassa-426	145	1	if	if	SCONJ
ijassa-426	145	2	a	a	DET
ijassa-426	145	3	<	<	X
ijassa-426	145	4	s0	s0	NOUN
ijassa-426	145	5	then	then	ADV
ijassa-426	145	6	there	there	PRON
ijassa-426	145	7	is	be	VERB
ijassa-426	145	8	no	no	DET
ijassa-426	145	9	reason	reason	NOUN
ijassa-426	145	10	to	to	PART
ijassa-426	145	11	give	give	VERB
ijassa-426	145	12	a	a	DET
ijassa-426	145	13	bribe	bribe	NOUN
ijassa-426	145	14	because	because	SCONJ
ijassa-426	145	15	the	the	DET
ijassa-426	145	16	agent	agent	NOUN
ijassa-426	145	17	’s	’s	PART
ijassa-426	145	18	payoff	payoff	NOUN
ijassa-426	145	19	is	be	AUX
ijassa-426	145	20	maximal	maximal	ADJ
ijassa-426	145	21	when	when	SCONJ
ijassa-426	145	22	b	b	NOUN
ijassa-426	145	23	=	=	SYM
ijassa-426	145	24	0	0	PUNCT
ijassa-426	145	25	and	and	CCONJ
ijassa-426	145	26	is	be	AUX
ijassa-426	145	27	equal	equal	ADJ
ijassa-426	145	28	to	to	ADP
ijassa-426	145	29	s0	s0	PROPN
ijassa-426	145	30	.	.	PUNCT
ijassa-426	146	1	however	however	ADV
ijassa-426	146	2	,	,	PUNCT
ijassa-426	146	3	if	if	SCONJ
ijassa-426	146	4	a	a	DET
ijassa-426	146	5	>	>	X
ijassa-426	146	6	s0	s0	PROPN
ijassa-426	146	7	then	then	ADV
ijassa-426	146	8	the	the	DET
ijassa-426	146	9	optimal	optimal	ADJ
ijassa-426	146	10	part	part	NOUN
ijassa-426	146	11	of	of	ADP
ijassa-426	146	12	bribe	bribe	NOUN
ijassa-426	146	13	is	be	AUX
ijassa-426	146	14	equal	equal	ADJ
ijassa-426	146	15	to	to	ADP
ijassa-426	146	16	b∗	b∗	ADJ
ijassa-426	146	17	=	=	PUNCT
ijassa-426	146	18	a−s0	a−s0	PUNCT
ijassa-426	146	19	2a	2a	NUM
ijassa-426	146	20	that	that	PRON
ijassa-426	146	21	leads	lead	VERB
ijassa-426	146	22	to	to	ADP
ijassa-426	146	23	the	the	DET
ijassa-426	146	24	agent	agent	NOUN
ijassa-426	146	25	’s	’s	PART
ijassa-426	146	26	payoff	payoff	NOUN
ijassa-426	146	27	(	(	PUNCT
ijassa-426	146	28	a+s0)2	a+s0)2	PROPN
ijassa-426	146	29	4a	4a	NOUN
ijassa-426	146	30	≥	≥	PROPN
ijassa-426	146	31	s0	s0	PROPN
ijassa-426	146	32	.	.	PROPN
ijassa-426	147	1	44	44	NUM
ijassa-426	147	2	andrey	andrey	PROPN
ijassa-426	147	3	v.	v.	ADP
ijassa-426	147	4	antonenko	antonenko	PROPN
ijassa-426	147	5	:	:	PUNCT
ijassa-426	147	6	static	static	ADJ
ijassa-426	147	7	models	model	NOUN
ijassa-426	147	8	of	of	ADP
ijassa-426	147	9	corruption	corruption	NOUN
ijassa-426	147	10	in	in	ADP
ijassa-426	147	11	hierarchical	hierarchical	ADJ
ijassa-426	147	12	systems	system	NOUN
ijassa-426	147	13	in	in	ADP
ijassa-426	147	14	more	more	ADJ
ijassa-426	147	15	general	general	ADJ
ijassa-426	147	16	case	case	NOUN
ijassa-426	147	17	g(b	g(b	NOUN
ijassa-426	147	18	)	)	PUNCT
ijassa-426	147	19	=	=	PUNCT
ijassa-426	147	20	(	(	PUNCT
ijassa-426	147	21	1−b)(s0+ab)k	1−b)(s0+ab)k	PROPN
ijassa-426	147	22	,	,	PUNCT
ijassa-426	147	23	k	k	PROPN
ijassa-426	147	24	≤	≤	PROPN
ijassa-426	147	25	1	1	NUM
ijassa-426	147	26	,	,	PUNCT
ijassa-426	147	27	the	the	DET
ijassa-426	147	28	maximal	maximal	ADJ
ijassa-426	147	29	agent	agent	NOUN
ijassa-426	147	30	’s	’s	PART
ijassa-426	147	31	payoff	payoff	NOUN
ijassa-426	147	32	is	be	AUX
ijassa-426	147	33	equal	equal	ADJ
ijassa-426	147	34	to	to	PART
ijassa-426	147	35	gmax	gmax	VERB
ijassa-426	147	36	=	=	SYM
ijassa-426	147	37	{	{	PUNCT
ijassa-426	147	38	g(0	g(0	PROPN
ijassa-426	147	39	)	)	PUNCT
ijassa-426	147	40	,	,	PUNCT
ijassa-426	147	41	a	a	DET
ijassa-426	147	42	≤	≤	NUM
ijassa-426	147	43	s0	s0	PROPN
ijassa-426	147	44	k	k	PROPN
ijassa-426	147	45	,	,	PUNCT
ijassa-426	147	46	g(b∗	g(b∗	X
ijassa-426	147	47	)	)	PUNCT
ijassa-426	147	48	,	,	PUNCT
ijassa-426	147	49	a	a	DET
ijassa-426	147	50	>	>	X
ijassa-426	147	51	s0	s0	PROPN
ijassa-426	147	52	k	k	PROPN
ijassa-426	147	53	,	,	PUNCT
ijassa-426	147	54	where	where	SCONJ
ijassa-426	147	55	b∗	b∗	ADJ
ijassa-426	147	56	=	=	SYM
ijassa-426	147	57	ka−	ka−	PROPN
ijassa-426	147	58	s0	s0	PROPN
ijassa-426	147	59	(	(	PUNCT
ijassa-426	147	60	1	1	NUM
ijassa-426	147	61	+	+	CCONJ
ijassa-426	147	62	k)a	k)a	X
ijassa-426	147	63	.	.	PUNCT
ijassa-426	148	1	so	so	ADV
ijassa-426	148	2	,	,	PUNCT
ijassa-426	148	3	it	it	PRON
ijassa-426	148	4	is	be	AUX
ijassa-426	148	5	disadvantageously	disadvantageously	ADV
ijassa-426	148	6	to	to	PART
ijassa-426	148	7	give	give	VERB
ijassa-426	148	8	a	a	DET
ijassa-426	148	9	bribe	bribe	NOUN
ijassa-426	148	10	when	when	SCONJ
ijassa-426	148	11	s0	s0	PROPN
ijassa-426	148	12	≥	≥	PRON
ijassa-426	148	13	ka	ka	PROPN
ijassa-426	148	14	.	.	PUNCT
ijassa-426	149	1	adding	add	VERB
ijassa-426	149	2	of	of	ADP
ijassa-426	149	3	a	a	DET
ijassa-426	149	4	supervisor	supervisor	NOUN
ijassa-426	149	5	leads	lead	VERB
ijassa-426	149	6	to	to	ADP
ijassa-426	149	7	the	the	DET
ijassa-426	149	8	two	two	NUM
ijassa-426	149	9	-	-	PUNCT
ijassa-426	149	10	person	person	NOUN
ijassa-426	149	11	hierarchical	hierarchical	ADJ
ijassa-426	149	12	game	game	NOUN
ijassa-426	149	13	in	in	ADP
ijassa-426	149	14	the	the	DET
ijassa-426	149	15	form	form	NOUN
ijassa-426	149	16	gs(s	gs(s	NOUN
ijassa-426	149	17	,	,	PUNCT
ijassa-426	149	18	u	u	NOUN
ijassa-426	149	19	,	,	PUNCT
ijassa-426	149	20	b	b	NOUN
ijassa-426	149	21	)	)	PUNCT
ijassa-426	149	22	=	=	SYM
ijassa-426	149	23	bf(u	bf(u	PROPN
ijassa-426	149	24	)	)	PUNCT
ijassa-426	149	25	→	→	SYM
ijassa-426	149	26	max	max	PROPN
ijassa-426	149	27	,	,	PUNCT
ijassa-426	149	28	s0	s0	PROPN
ijassa-426	149	29	≤	≤	PROPN
ijassa-426	149	30	s	s	PART
ijassa-426	149	31	≤	≤	NOUN
ijassa-426	149	32	1	1	NUM
ijassa-426	149	33	;	;	PUNCT
ijassa-426	149	34	ga(s	ga(s	ADJ
ijassa-426	149	35	,	,	PUNCT
ijassa-426	149	36	u	u	NOUN
ijassa-426	149	37	,	,	PUNCT
ijassa-426	149	38	b	b	NOUN
ijassa-426	149	39	)	)	PUNCT
ijassa-426	149	40	=	=	SYM
ijassa-426	149	41	(	(	PUNCT
ijassa-426	149	42	1−	1−	NUM
ijassa-426	149	43	b)f(u	b)f(u	NOUN
ijassa-426	149	44	)	)	PUNCT
ijassa-426	149	45	→	→	SYM
ijassa-426	149	46	max	max	PROPN
ijassa-426	149	47	,	,	PUNCT
ijassa-426	149	48	0	0	NUM
ijassa-426	149	49	≤	≤	NUM
ijassa-426	149	50	u	u	NOUN
ijassa-426	149	51	≤	≤	X
ijassa-426	149	52	s	s	PROPN
ijassa-426	149	53	,	,	PUNCT
ijassa-426	149	54	0	0	NUM
ijassa-426	149	55	≤	≤	NUM
ijassa-426	149	56	b	b	X
ijassa-426	149	57	≤	≤	NUM
ijassa-426	149	58	1	1	NUM
ijassa-426	149	59	.	.	PUNCT
ijassa-426	150	1	taking	take	VERB
ijassa-426	150	2	the	the	DET
ijassa-426	150	3	agent	agent	NOUN
ijassa-426	150	4	’s	’s	PART
ijassa-426	150	5	production	production	NOUN
ijassa-426	150	6	function	function	NOUN
ijassa-426	150	7	in	in	ADP
ijassa-426	150	8	the	the	DET
ijassa-426	150	9	form	form	NOUN
ijassa-426	150	10	f(u	f(u	PROPN
ijassa-426	150	11	)	)	PUNCT
ijassa-426	150	12	=	=	SYM
ijassa-426	150	13	aum	aum	PROPN
ijassa-426	150	14	and	and	CCONJ
ijassa-426	150	15	considering	consider	VERB
ijassa-426	150	16	that	that	SCONJ
ijassa-426	150	17	its	its	PRON
ijassa-426	150	18	maximum	maximum	NOUN
ijassa-426	150	19	is	be	AUX
ijassa-426	150	20	reached	reach	VERB
ijassa-426	150	21	in	in	ADP
ijassa-426	150	22	the	the	DET
ijassa-426	150	23	right	right	ADJ
ijassa-426	150	24	end	end	NOUN
ijassa-426	150	25	of	of	ADP
ijassa-426	150	26	the	the	DET
ijassa-426	150	27	admissible	admissible	ADJ
ijassa-426	150	28	segment	segment	NOUN
ijassa-426	150	29	,	,	PUNCT
ijassa-426	150	30	we	we	PRON
ijassa-426	150	31	get	get	VERB
ijassa-426	150	32	the	the	DET
ijassa-426	150	33	following	follow	VERB
ijassa-426	150	34	game	game	NOUN
ijassa-426	150	35	:	:	PUNCT
ijassa-426	150	36	gs(s	gs(s	NUM
ijassa-426	150	37	,	,	PUNCT
ijassa-426	151	1	b	b	X
ijassa-426	151	2	)	)	PUNCT
ijassa-426	151	3	=	=	SYM
ijassa-426	151	4	absm	absm	NOUN
ijassa-426	151	5	→	→	SYM
ijassa-426	151	6	max	max	PROPN
ijassa-426	151	7	,	,	PUNCT
ijassa-426	151	8	s0	s0	PROPN
ijassa-426	151	9	≤	≤	PROPN
ijassa-426	151	10	s	s	PART
ijassa-426	151	11	≤	≤	NOUN
ijassa-426	151	12	1	1	NUM
ijassa-426	151	13	;	;	PUNCT
ijassa-426	151	14	(	(	PUNCT
ijassa-426	151	15	13	13	NUM
ijassa-426	151	16	)	)	PUNCT
ijassa-426	151	17	ga(s	ga(s	ADJ
ijassa-426	151	18	,	,	PUNCT
ijassa-426	151	19	b	b	NOUN
ijassa-426	151	20	)	)	PUNCT
ijassa-426	151	21	=	=	PUNCT
ijassa-426	151	22	a(1−	a(1−	NOUN
ijassa-426	151	23	b)sm	b)sm	PROPN
ijassa-426	151	24	→	→	SYM
ijassa-426	151	25	max	max	PROPN
ijassa-426	151	26	,	,	PUNCT
ijassa-426	151	27	0	0	NUM
ijassa-426	152	1	≤	≤	NUM
ijassa-426	152	2	b	b	X
ijassa-426	152	3	≤	≤	NUM
ijassa-426	152	4	1	1	NUM
ijassa-426	152	5	;	;	PUNCT
ijassa-426	152	6	(	(	PUNCT
ijassa-426	152	7	14	14	NUM
ijassa-426	152	8	)	)	PUNCT
ijassa-426	152	9	using	use	VERB
ijassa-426	152	10	germeyers	germeyer	NOUN
ijassa-426	152	11	theorem	theorem	ADJ
ijassa-426	152	12	(	(	PUNCT
ijassa-426	152	13	see	see	VERB
ijassa-426	152	14	appendix	appendix	NOUN
ijassa-426	152	15	)	)	PUNCT
ijassa-426	152	16	and	and	CCONJ
ijassa-426	152	17	considering	consider	VERB
ijassa-426	152	18	that	that	SCONJ
ijassa-426	152	19	interests	interest	NOUN
ijassa-426	152	20	of	of	ADP
ijassa-426	152	21	the	the	DET
ijassa-426	152	22	players	player	NOUN
ijassa-426	152	23	coincide	coincide	VERB
ijassa-426	152	24	in	in	ADP
ijassa-426	152	25	s	s	PROPN
ijassa-426	152	26	,	,	PUNCT
ijassa-426	152	27	we	we	PRON
ijassa-426	152	28	get	get	VERB
ijassa-426	152	29	the	the	DET
ijassa-426	152	30	solution	solution	NOUN
ijassa-426	152	31	of	of	ADP
ijassa-426	152	32	the	the	DET
ijassa-426	152	33	game	game	NOUN
ijassa-426	152	34	(	(	PUNCT
ijassa-426	152	35	13)-(14	13)-(14	NUM
ijassa-426	152	36	)	)	PUNCT
ijassa-426	152	37	in	in	ADP
ijassa-426	152	38	the	the	DET
ijassa-426	152	39	form	form	NOUN
ijassa-426	152	40	s̃ε(b	s̃ε(b	NOUN
ijassa-426	152	41	)	)	PUNCT
ijassa-426	152	42	=	=	PRON
ijassa-426	152	43	{	{	PUNCT
ijassa-426	152	44	1	1	NUM
ijassa-426	152	45	,	,	PUNCT
ijassa-426	152	46	b	b	X
ijassa-426	152	47	=	=	SYM
ijassa-426	152	48	1−	1−	NUM
ijassa-426	152	49	ε−	ε−	PROPN
ijassa-426	152	50	s0	s0	PROPN
ijassa-426	152	51	m	m	PROPN
ijassa-426	152	52	,	,	PUNCT
ijassa-426	152	53	s0	s0	PROPN
ijassa-426	152	54	,	,	PUNCT
ijassa-426	152	55	otherwise	otherwise	ADV
ijassa-426	152	56	.	.	PUNCT
ijassa-426	153	1	so	so	ADV
ijassa-426	153	2	,	,	PUNCT
ijassa-426	153	3	it	it	PRON
ijassa-426	153	4	is	be	AUX
ijassa-426	153	5	profitable	profitable	ADJ
ijassa-426	153	6	for	for	SCONJ
ijassa-426	153	7	the	the	DET
ijassa-426	153	8	agent	agent	NOUN
ijassa-426	153	9	to	to	PART
ijassa-426	153	10	give	give	VERB
ijassa-426	153	11	the	the	DET
ijassa-426	153	12	bribe	bribe	NOUN
ijassa-426	153	13	and	and	CCONJ
ijassa-426	153	14	to	to	PART
ijassa-426	153	15	avoid	avoid	VERB
ijassa-426	153	16	quota	quota	NOUN
ijassa-426	153	17	completely	completely	ADV
ijassa-426	153	18	.	.	PUNCT
ijassa-426	154	1	to	to	PART
ijassa-426	154	2	prevent	prevent	VERB
ijassa-426	154	3	corruption	corruption	NOUN
ijassa-426	154	4	it	it	PRON
ijassa-426	154	5	is	be	AUX
ijassa-426	154	6	necessary	necessary	ADJ
ijassa-426	154	7	to	to	PART
ijassa-426	154	8	add	add	VERB
ijassa-426	154	9	to	to	ADP
ijassa-426	154	10	the	the	DET
ijassa-426	154	11	game	game	NOUN
ijassa-426	154	12	(	(	PUNCT
ijassa-426	154	13	13)-(14	13)-(14	NUM
ijassa-426	154	14	)	)	PUNCT
ijassa-426	154	15	a	a	DET
ijassa-426	154	16	principal	principal	NOUN
ijassa-426	154	17	with	with	ADP
ijassa-426	154	18	the	the	DET
ijassa-426	154	19	control	control	NOUN
ijassa-426	154	20	problem	problem	NOUN
ijassa-426	154	21	gp	gp	NOUN
ijassa-426	154	22	=	=	PUNCT
ijassa-426	154	23	c(q	c(q	PROPN
ijassa-426	154	24	)	)	PUNCT
ijassa-426	155	1	+	+	PROPN
ijassa-426	155	2	k(q	k(q	PROPN
ijassa-426	155	3	−	−	PROPN
ijassa-426	155	4	s0	s0	PROPN
ijassa-426	155	5	)	)	PUNCT
ijassa-426	155	6	→	→	SYM
ijassa-426	155	7	min	min	PROPN
ijassa-426	155	8	,	,	PUNCT
ijassa-426	155	9	s0	s0	PROPN
ijassa-426	155	10	≤	≤	PROPN
ijassa-426	155	11	q	q	PROPN
ijassa-426	155	12	≤	≤	NUM
ijassa-426	155	13	1	1	NUM
ijassa-426	155	14	;	;	PUNCT
ijassa-426	155	15	(	(	PUNCT
ijassa-426	155	16	15	15	NUM
ijassa-426	155	17	)	)	PUNCT
ijassa-426	155	18	that	that	PRON
ijassa-426	155	19	is	be	AUX
ijassa-426	155	20	similar	similar	ADJ
ijassa-426	155	21	to	to	ADP
ijassa-426	155	22	the	the	DET
ijassa-426	155	23	problem	problem	NOUN
ijassa-426	155	24	(	(	PUNCT
ijassa-426	155	25	6	6	NUM
ijassa-426	155	26	)	)	PUNCT
ijassa-426	155	27	in	in	ADP
ijassa-426	155	28	the	the	DET
ijassa-426	155	29	model	model	NOUN
ijassa-426	155	30	of	of	ADP
ijassa-426	155	31	economic	economic	ADJ
ijassa-426	155	32	corruption	corruption	NOUN
ijassa-426	155	33	;	;	PUNCT
ijassa-426	155	34	the	the	DET
ijassa-426	155	35	supervisor	supervisor	NOUN
ijassa-426	155	36	’s	’s	PART
ijassa-426	155	37	problem	problem	NOUN
ijassa-426	155	38	(	(	PUNCT
ijassa-426	155	39	13	13	NUM
ijassa-426	155	40	)	)	PUNCT
ijassa-426	155	41	takes	take	VERB
ijassa-426	155	42	the	the	DET
ijassa-426	155	43	form	form	NOUN
ijassa-426	155	44	gs(s	gs(s	NOUN
ijassa-426	155	45	,	,	PUNCT
ijassa-426	155	46	b	b	X
ijassa-426	155	47	)	)	PUNCT
ijassa-426	155	48	=	=	SYM
ijassa-426	155	49	absm	absm	NOUN
ijassa-426	155	50	→	→	SYM
ijassa-426	155	51	max	max	PROPN
ijassa-426	155	52	,	,	PUNCT
ijassa-426	155	53	s0	s0	PROPN
ijassa-426	155	54	≤	≤	PROPN
ijassa-426	155	55	s	s	PART
ijassa-426	155	56	≤	≤	NOUN
ijassa-426	155	57	q	q	NOUN
ijassa-426	155	58	;	;	PUNCT
ijassa-426	155	59	(	(	PUNCT
ijassa-426	155	60	16	16	NUM
ijassa-426	155	61	)	)	PUNCT
ijassa-426	155	62	i.e.	i.e.	X
ijassa-426	155	63	the	the	DET
ijassa-426	155	64	supervisor	supervisor	NOUN
ijassa-426	155	65	’s	’s	PART
ijassa-426	155	66	ability	ability	NOUN
ijassa-426	155	67	of	of	ADP
ijassa-426	155	68	corrupted	corrupted	ADJ
ijassa-426	155	69	behavior	behavior	NOUN
ijassa-426	155	70	is	be	AUX
ijassa-426	155	71	restricted	restrict	VERB
ijassa-426	155	72	from	from	ADP
ijassa-426	155	73	above	above	ADV
ijassa-426	155	74	by	by	ADP
ijassa-426	155	75	the	the	DET
ijassa-426	155	76	variable	variable	NOUN
ijassa-426	155	77	of	of	ADP
ijassa-426	155	78	non	non	ADJ
ijassa-426	155	79	-	-	ADJ
ijassa-426	155	80	corrupted	corrupted	ADJ
ijassa-426	155	81	principal	principal	NOUN
ijassa-426	155	82	’s	’s	PART
ijassa-426	155	83	administrative	administrative	PROPN
ijassa-426	155	84	control	control	PROPN
ijassa-426	155	85	q.	q.	PROPN
ijassa-426	155	86	then	then	ADV
ijassa-426	155	87	the	the	DET
ijassa-426	155	88	solution	solution	NOUN
ijassa-426	155	89	of	of	ADP
ijassa-426	155	90	the	the	DET
ijassa-426	155	91	game	game	NOUN
ijassa-426	155	92	(	(	PUNCT
ijassa-426	155	93	16	16	NUM
ijassa-426	155	94	)	)	PUNCT
ijassa-426	155	95	,	,	PUNCT
ijassa-426	155	96	(	(	PUNCT
ijassa-426	155	97	14	14	NUM
ijassa-426	155	98	)	)	PUNCT
ijassa-426	155	99	is	be	AUX
ijassa-426	155	100	s̃ε(b	s̃ε(b	ADJ
ijassa-426	155	101	)	)	PUNCT
ijassa-426	155	102	=	=	PRON
ijassa-426	156	1	{	{	PUNCT
ijassa-426	156	2	q	q	NOUN
ijassa-426	156	3	,	,	PUNCT
ijassa-426	156	4	b	b	NOUN
ijassa-426	156	5	=	=	SYM
ijassa-426	156	6	1−	1−	NUM
ijassa-426	157	1	ε−	ε−	PROPN
ijassa-426	157	2	(	(	PUNCT
ijassa-426	157	3	s0	s0	PROPN
ijassa-426	157	4	q	q	PROPN
ijassa-426	157	5	)	)	PUNCT
ijassa-426	157	6	m	m	PROPN
ijassa-426	157	7	,	,	PUNCT
ijassa-426	157	8	s0	s0	PROPN
ijassa-426	157	9	,	,	PUNCT
ijassa-426	157	10	otherwise	otherwise	ADV
ijassa-426	157	11	.	.	PUNCT
ijassa-426	158	1	advances	advance	NOUN
ijassa-426	158	2	in	in	ADP
ijassa-426	158	3	systems	system	NOUN
ijassa-426	158	4	science	science	NOUN
ijassa-426	158	5	and	and	CCONJ
ijassa-426	158	6	applications	application	NOUN
ijassa-426	158	7	(	(	PUNCT
ijassa-426	158	8	2013	2013	NUM
ijassa-426	158	9	)	)	PUNCT
ijassa-426	158	10	vol.13	vol.13	NOUN
ijassa-426	158	11	no.1	no.1	VERB
ijassa-426	158	12	45	45	NUM
ijassa-426	158	13	and	and	CCONJ
ijassa-426	158	14	the	the	DET
ijassa-426	158	15	solution	solution	NOUN
ijassa-426	158	16	of	of	ADP
ijassa-426	158	17	the	the	DET
ijassa-426	158	18	problem	problem	NOUN
ijassa-426	158	19	(	(	PUNCT
ijassa-426	158	20	15	15	NUM
ijassa-426	158	21	)	)	PUNCT
ijassa-426	158	22	has	have	VERB
ijassa-426	158	23	the	the	DET
ijassa-426	158	24	form	form	NOUN
ijassa-426	158	25	q∗	q∗	NOUN
ijassa-426	158	26	=	=	SYM
ijassa-426	158	27	{	{	PUNCT
ijassa-426	158	28	s0	s0	PROPN
ijassa-426	158	29	,	,	PUNCT
ijassa-426	158	30	c(s0	c(s0	ADJ
ijassa-426	158	31	)	)	PUNCT
ijassa-426	158	32	<	<	X
ijassa-426	159	1	c(1	c(1	NOUN
ijassa-426	159	2	)	)	PUNCT
ijassa-426	159	3	+	+	PROPN
ijassa-426	159	4	k(1−	k(1−	ADJ
ijassa-426	159	5	s0	s0	PROPN
ijassa-426	159	6	)	)	PUNCT
ijassa-426	159	7	1	1	NUM
ijassa-426	159	8	,	,	PUNCT
ijassa-426	159	9	otherwise	otherwise	ADV
ijassa-426	159	10	.	.	PUNCT
ijassa-426	160	1	considering	consider	VERB
ijassa-426	160	2	that	that	SCONJ
ijassa-426	160	3	as	as	ADP
ijassa-426	160	4	in	in	ADP
ijassa-426	160	5	the	the	DET
ijassa-426	160	6	model	model	NOUN
ijassa-426	160	7	of	of	ADP
ijassa-426	160	8	economic	economic	ADJ
ijassa-426	160	9	corruption	corruption	NOUN
ijassa-426	160	10	k	k	PROPN
ijassa-426	160	11	≫	≫	PROPN
ijassa-426	160	12	1	1	NUM
ijassa-426	160	13	or	or	CCONJ
ijassa-426	160	14	even	even	ADV
ijassa-426	160	15	k	k	PROPN
ijassa-426	160	16	→	→	SYM
ijassa-426	160	17	∞	∞	PROPN
ijassa-426	160	18	,	,	PUNCT
ijassa-426	160	19	we	we	PRON
ijassa-426	160	20	get	get	VERB
ijassa-426	160	21	q∗	q∗	NOUN
ijassa-426	160	22	=	=	SYM
ijassa-426	160	23	s0	s0	PROPN
ijassa-426	160	24	,	,	PUNCT
ijassa-426	160	25	i.e.	i.e.	X
ijassa-426	160	26	the	the	DET
ijassa-426	160	27	principal	principal	NOUN
ijassa-426	160	28	ensures	ensure	VERB
ijassa-426	160	29	the	the	DET
ijassa-426	160	30	condition	condition	NOUN
ijassa-426	160	31	of	of	ADP
ijassa-426	160	32	sustainable	sustainable	ADJ
ijassa-426	160	33	development	development	NOUN
ijassa-426	160	34	s	s	PART
ijassa-426	160	35	=	=	SYM
ijassa-426	160	36	s0	s0	PROPN
ijassa-426	160	37	,	,	PUNCT
ijassa-426	160	38	and	and	CCONJ
ijassa-426	160	39	corruption	corruption	NOUN
ijassa-426	160	40	is	be	AUX
ijassa-426	160	41	absent	absent	ADJ
ijassa-426	160	42	.	.	PUNCT
ijassa-426	161	1	4	4	NUM
ijassa-426	161	2	models	model	NOUN
ijassa-426	161	3	of	of	ADP
ijassa-426	161	4	corruption	corruption	NOUN
ijassa-426	161	5	in	in	ADP
ijassa-426	161	6	real	real	ADJ
ijassa-426	161	7	estate	estate	NOUN
ijassa-426	161	8	development	development	NOUN
ijassa-426	161	9	in	in	ADP
ijassa-426	161	10	a	a	DET
ijassa-426	161	11	general	general	ADJ
ijassa-426	161	12	form	form	NOUN
ijassa-426	161	13	an	an	DET
ijassa-426	161	14	optimization	optimization	NOUN
ijassa-426	161	15	model	model	NOUN
ijassa-426	161	16	of	of	ADP
ijassa-426	161	17	the	the	DET
ijassa-426	161	18	economic	economic	ADJ
ijassa-426	161	19	corruption	corruption	NOUN
ijassa-426	161	20	in	in	ADP
ijassa-426	161	21	real	real	ADJ
ijassa-426	161	22	estate	estate	NOUN
ijassa-426	161	23	development	development	NOUN
ijassa-426	161	24	may	may	AUX
ijassa-426	161	25	be	be	AUX
ijassa-426	161	26	represented	represent	VERB
ijassa-426	161	27	as	as	ADP
ijassa-426	161	28	g(b	g(b	PROPN
ijassa-426	161	29	)	)	PUNCT
ijassa-426	161	30	=	=	PUNCT
ijassa-426	162	1	(	(	PUNCT
ijassa-426	162	2	1−	1−	NUM
ijassa-426	162	3	b)[r(b	b)[r(b	NOUN
ijassa-426	162	4	)	)	PUNCT
ijassa-426	163	1	+	+	NUM
ijassa-426	163	2	ξ(1−	ξ(1−	PROPN
ijassa-426	163	3	r(b	r(b	NUM
ijassa-426	163	4	)	)	PUNCT
ijassa-426	163	5	)	)	PUNCT
ijassa-426	163	6	]	]	PUNCT
ijassa-426	164	1	→	→	SYM
ijassa-426	164	2	max	max	PROPN
ijassa-426	164	3	,	,	PUNCT
ijassa-426	164	4	0	0	NUM
ijassa-426	164	5	≤	≤	NUM
ijassa-426	164	6	b	b	X
ijassa-426	164	7	≤	≤	NUM
ijassa-426	164	8	1	1	NUM
ijassa-426	164	9	,	,	PUNCT
ijassa-426	164	10	(	(	PUNCT
ijassa-426	164	11	17	17	NUM
ijassa-426	164	12	)	)	PUNCT
ijassa-426	164	13	where	where	SCONJ
ijassa-426	164	14	g(b	g(b	X
ijassa-426	164	15	)	)	PUNCT
ijassa-426	164	16	is	be	AUX
ijassa-426	164	17	the	the	DET
ijassa-426	164	18	agent	agent	NOUN
ijassa-426	164	19	(	(	PUNCT
ijassa-426	164	20	developer	developer	NOUN
ijassa-426	164	21	)	)	PUNCT
ijassa-426	164	22	’s	’s	PART
ijassa-426	164	23	payoff	payoff	NOUN
ijassa-426	164	24	function	function	NOUN
ijassa-426	164	25	having	have	VERB
ijassa-426	164	26	the	the	DET
ijassa-426	164	27	sense	sense	NOUN
ijassa-426	164	28	of	of	ADP
ijassa-426	164	29	his	his	PRON
ijassa-426	164	30	income	income	NOUN
ijassa-426	164	31	from	from	ADP
ijassa-426	164	32	a	a	DET
ijassa-426	164	33	real	real	ADJ
ijassa-426	164	34	estate	estate	NOUN
ijassa-426	164	35	development	development	NOUN
ijassa-426	164	36	project	project	NOUN
ijassa-426	164	37	considering	consider	VERB
ijassa-426	164	38	a	a	DET
ijassa-426	164	39	bribe	bribe	NOUN
ijassa-426	164	40	cost	cost	NOUN
ijassa-426	164	41	;	;	PUNCT
ijassa-426	164	42	b	b	X
ijassa-426	164	43	is	be	AUX
ijassa-426	164	44	an	an	DET
ijassa-426	164	45	economic	economic	ADJ
ijassa-426	164	46	bribe	bribe	NOUN
ijassa-426	164	47	as	as	ADP
ijassa-426	164	48	a	a	DET
ijassa-426	164	49	part	part	NOUN
ijassa-426	164	50	of	of	ADP
ijassa-426	164	51	the	the	DET
ijassa-426	164	52	agent	agent	NOUN
ijassa-426	164	53	’s	’s	PART
ijassa-426	164	54	income	income	NOUN
ijassa-426	164	55	;	;	PUNCT
ijassa-426	164	56	r(b	r(b	PROPN
ijassa-426	164	57	)	)	PUNCT
ijassa-426	164	58	is	be	AUX
ijassa-426	164	59	a	a	DET
ijassa-426	164	60	part	part	NOUN
ijassa-426	164	61	of	of	ADP
ijassa-426	164	62	the	the	DET
ijassa-426	164	63	social	social	ADJ
ijassa-426	164	64	real	real	ADJ
ijassa-426	164	65	estate	estate	NOUN
ijassa-426	164	66	redeemed	redeem	VERB
ijassa-426	164	67	with	with	ADP
ijassa-426	164	68	guarantee	guarantee	NOUN
ijassa-426	164	69	by	by	ADP
ijassa-426	164	70	the	the	DET
ijassa-426	164	71	state	state	NOUN
ijassa-426	164	72	at	at	ADP
ijassa-426	164	73	a	a	DET
ijassa-426	164	74	fixed	fix	VERB
ijassa-426	164	75	price	price	NOUN
ijassa-426	164	76	(	(	PUNCT
ijassa-426	164	77	the	the	DET
ijassa-426	164	78	price	price	NOUN
ijassa-426	164	79	may	may	AUX
ijassa-426	164	80	be	be	AUX
ijassa-426	164	81	augmented	augment	VERB
ijassa-426	164	82	for	for	ADP
ijassa-426	164	83	a	a	DET
ijassa-426	164	84	bribe	bribe	NOUN
ijassa-426	164	85	)	)	PUNCT
ijassa-426	164	86	;	;	PUNCT
ijassa-426	164	87	ξ	ξ	X
ijassa-426	164	88	is	be	AUX
ijassa-426	164	89	a	a	DET
ijassa-426	164	90	part	part	NOUN
ijassa-426	164	91	of	of	ADP
ijassa-426	164	92	the	the	DET
ijassa-426	164	93	social	social	ADJ
ijassa-426	164	94	real	real	ADJ
ijassa-426	164	95	estate	estate	NOUN
ijassa-426	164	96	that	that	PRON
ijassa-426	164	97	can	can	AUX
ijassa-426	164	98	be	be	AUX
ijassa-426	164	99	sold	sell	VERB
ijassa-426	164	100	by	by	ADP
ijassa-426	164	101	the	the	DET
ijassa-426	164	102	agent	agent	NOUN
ijassa-426	164	103	himself	himself	PRON
ijassa-426	164	104	.	.	PUNCT
ijassa-426	165	1	the	the	DET
ijassa-426	165	2	function	function	NOUN
ijassa-426	165	3	of	of	ADP
ijassa-426	165	4	economic	economic	ADJ
ijassa-426	165	5	corruption	corruption	NOUN
ijassa-426	165	6	r(b	r(b	PROPN
ijassa-426	165	7	)	)	PUNCT
ijassa-426	165	8	is	be	AUX
ijassa-426	165	9	supposed	suppose	VERB
ijassa-426	165	10	to	to	PART
ijassa-426	165	11	be	be	AUX
ijassa-426	165	12	known	know	VERB
ijassa-426	165	13	according	accord	VERB
ijassa-426	165	14	to	to	ADP
ijassa-426	165	15	the	the	DET
ijassa-426	165	16	descriptive	descriptive	ADJ
ijassa-426	165	17	approach	approach	NOUN
ijassa-426	165	18	.	.	PUNCT
ijassa-426	166	1	according	accord	VERB
ijassa-426	166	2	to	to	ADP
ijassa-426	166	3	the	the	DET
ijassa-426	166	4	economic	economic	ADJ
ijassa-426	166	5	sense	sense	NOUN
ijassa-426	166	6	it	it	PRON
ijassa-426	166	7	increases	increase	VERB
ijassa-426	166	8	monotonically	monotonically	ADV
ijassa-426	166	9	in	in	ADP
ijassa-426	166	10	the	the	DET
ijassa-426	166	11	segment	segment	NOUN
ijassa-426	166	12	[	[	X
ijassa-426	166	13	0,1	0,1	NUM
ijassa-426	166	14	]	]	PUNCT
ijassa-426	166	15	and	and	CCONJ
ijassa-426	166	16	in	in	ADP
ijassa-426	166	17	the	the	DET
ijassa-426	166	18	considered	consider	VERB
ijassa-426	166	19	case	case	NOUN
ijassa-426	166	20	of	of	ADP
ijassa-426	166	21	capture	capture	NOUN
ijassa-426	166	22	(	(	PUNCT
ijassa-426	166	23	extortion	extortion	NOUN
ijassa-426	166	24	is	be	AUX
ijassa-426	166	25	analyzed	analyze	VERB
ijassa-426	166	26	similarly	similarly	ADV
ijassa-426	166	27	)	)	PUNCT
ijassa-426	166	28	r(0	r(0	PROPN
ijassa-426	166	29	)	)	PUNCT
ijassa-426	166	30	=	=	SYM
ijassa-426	166	31	r0	r0	NOUN
ijassa-426	166	32	,	,	PUNCT
ijassa-426	166	33	where	where	SCONJ
ijassa-426	166	34	r0	r0	NOUN
ijassa-426	166	35	is	be	AUX
ijassa-426	166	36	the	the	DET
ijassa-426	166	37	legislative	legislative	ADJ
ijassa-426	166	38	value	value	NOUN
ijassa-426	166	39	of	of	ADP
ijassa-426	166	40	r	r	NOUN
ijassa-426	166	41	(	(	PUNCT
ijassa-426	166	42	it	it	PRON
ijassa-426	166	43	is	be	AUX
ijassa-426	166	44	supposed	suppose	VERB
ijassa-426	166	45	that	that	SCONJ
ijassa-426	166	46	r	r	NOUN
ijassa-426	166	47	=	=	SYM
ijassa-426	166	48	r0	r0	NOUN
ijassa-426	166	49	is	be	AUX
ijassa-426	166	50	the	the	DET
ijassa-426	166	51	condition	condition	NOUN
ijassa-426	166	52	of	of	ADP
ijassa-426	166	53	sustainable	sustainable	ADJ
ijassa-426	166	54	development	development	NOUN
ijassa-426	166	55	of	of	ADP
ijassa-426	166	56	the	the	DET
ijassa-426	166	57	real	real	ADJ
ijassa-426	166	58	estate	estate	NOUN
ijassa-426	166	59	project	project	NOUN
ijassa-426	166	60	)	)	PUNCT
ijassa-426	166	61	.	.	PUNCT
ijassa-426	167	1	it	it	PRON
ijassa-426	167	2	is	be	AUX
ijassa-426	167	3	natural	natural	ADJ
ijassa-426	167	4	to	to	PART
ijassa-426	167	5	use	use	VERB
ijassa-426	167	6	the	the	DET
ijassa-426	167	7	function	function	NOUN
ijassa-426	167	8	of	of	ADP
ijassa-426	167	9	economic	economic	ADJ
ijassa-426	167	10	corruption	corruption	NOUN
ijassa-426	167	11	in	in	ADP
ijassa-426	167	12	the	the	DET
ijassa-426	167	13	form	form	NOUN
ijassa-426	167	14	r(b	r(b	NOUN
ijassa-426	167	15	)	)	PUNCT
ijassa-426	167	16	=	=	PUNCT
ijassa-426	167	17	r0	r0	NOUN
ijassa-426	167	18	+	+	NOUN
ijassa-426	167	19	abk	abk	PROPN
ijassa-426	167	20	(	(	PUNCT
ijassa-426	167	21	a	a	DET
ijassa-426	167	22	>	>	X
ijassa-426	167	23	0	0	NUM
ijassa-426	167	24	)	)	PUNCT
ijassa-426	167	25	,	,	PUNCT
ijassa-426	167	26	0	0	NUM
ijassa-426	167	27	≤	≤	NUM
ijassa-426	167	28	r(b	r(b	NOUN
ijassa-426	167	29	)	)	PUNCT
ijassa-426	167	30	≤	≤	NUM
ijassa-426	167	31	1	1	NUM
ijassa-426	167	32	,	,	PUNCT
ijassa-426	167	33	(	(	PUNCT
ijassa-426	167	34	18	18	NUM
ijassa-426	167	35	)	)	PUNCT
ijassa-426	167	36	restrict	restrict	VERB
ijassa-426	167	37	ourselves	ourselves	PRON
ijassa-426	167	38	by	by	ADP
ijassa-426	167	39	the	the	DET
ijassa-426	167	40	linear	linear	ADJ
ijassa-426	167	41	parameterization	parameterization	NOUN
ijassa-426	167	42	(	(	PUNCT
ijassa-426	167	43	k	k	NOUN
ijassa-426	167	44	=	=	SYM
ijassa-426	167	45	1	1	NUM
ijassa-426	167	46	)	)	PUNCT
ijassa-426	167	47	.	.	PUNCT
ijassa-426	168	1	considering	consider	VERB
ijassa-426	168	2	(	(	PUNCT
ijassa-426	168	3	18	18	NUM
ijassa-426	168	4	)	)	PUNCT
ijassa-426	168	5	we	we	PRON
ijassa-426	168	6	get	get	VERB
ijassa-426	168	7	r(b	r(b	NUM
ijassa-426	168	8	)	)	PUNCT
ijassa-426	168	9	=	=	PUNCT
ijassa-426	168	10	min{r0	min{r0	PROPN
ijassa-426	168	11	+	+	PROPN
ijassa-426	168	12	ab	ab	PROPN
ijassa-426	168	13	,	,	PUNCT
ijassa-426	168	14	1	1	NUM
ijassa-426	168	15	}	}	PUNCT
ijassa-426	168	16	,	,	PUNCT
ijassa-426	168	17	a	a	DET
ijassa-426	168	18	>	>	X
ijassa-426	168	19	0	0	NUM
ijassa-426	168	20	.	.	PUNCT
ijassa-426	169	1	the	the	DET
ijassa-426	169	2	parameter	parameter	NOUN
ijassa-426	169	3	a	a	DET
ijassa-426	169	4	determines	determine	NOUN
ijassa-426	169	5	the	the	DET
ijassa-426	169	6	qualitative	qualitative	ADJ
ijassa-426	169	7	characteristics	characteristic	NOUN
ijassa-426	169	8	of	of	ADP
ijassa-426	169	9	the	the	DET
ijassa-426	169	10	bribe	bribe	NOUN
ijassa-426	169	11	-	-	PUNCT
ijassa-426	169	12	taker	taker	NOUN
ijassa-426	169	13	’s	’s	PART
ijassa-426	169	14	behavior	behavior	NOUN
ijassa-426	169	15	.	.	PUNCT
ijassa-426	170	1	if	if	SCONJ
ijassa-426	170	2	a	a	DET
ijassa-426	170	3	=	=	NOUN
ijassa-426	170	4	0	0	PUNCT
ijassa-426	170	5	then	then	ADV
ijassa-426	170	6	corruption	corruption	NOUN
ijassa-426	170	7	is	be	AUX
ijassa-426	170	8	completely	completely	ADV
ijassa-426	170	9	absent	absent	ADJ
ijassa-426	170	10	.	.	PUNCT
ijassa-426	171	1	as	as	ADP
ijassa-426	171	2	the	the	DET
ijassa-426	171	3	value	value	NOUN
ijassa-426	171	4	of	of	ADP
ijassa-426	171	5	increases	increase	NOUN
ijassa-426	171	6	,	,	PUNCT
ijassa-426	171	7	the	the	DET
ijassa-426	171	8	bribe	bribe	NOUN
ijassa-426	171	9	-	-	PUNCT
ijassa-426	171	10	taker	taker	NOUN
ijassa-426	171	11	’s	’s	PART
ijassa-426	171	12	tractability	tractability	NOUN
ijassa-426	171	13	also	also	ADV
ijassa-426	171	14	increases	increase	VERB
ijassa-426	171	15	and	and	CCONJ
ijassa-426	171	16	his	his	PRON
ijassa-426	171	17	greed	greed	NOUN
ijassa-426	171	18	decreases	decrease	VERB
ijassa-426	171	19	.	.	PUNCT
ijassa-426	172	1	the	the	DET
ijassa-426	172	2	threshold	threshold	NOUN
ijassa-426	172	3	value	value	NOUN
ijassa-426	172	4	is	be	AUX
ijassa-426	172	5	a	a	DET
ijassa-426	172	6	=	=	SYM
ijassa-426	172	7	1−	1−	NUM
ijassa-426	172	8	r0	r0	NOUN
ijassa-426	172	9	:	:	PUNCT
ijassa-426	172	10	in	in	ADP
ijassa-426	172	11	this	this	DET
ijassa-426	172	12	case	case	NOUN
ijassa-426	172	13	r(1	r(1	PROPN
ijassa-426	172	14	)	)	PUNCT
ijassa-426	172	15	=	=	SYM
ijassa-426	173	1	1	1	NUM
ijassa-426	173	2	,	,	PUNCT
ijassa-426	173	3	i.e.	i.e.	X
ijassa-426	173	4	the	the	DET
ijassa-426	173	5	maximal	maximal	ADJ
ijassa-426	173	6	greed	greed	NOUN
ijassa-426	173	7	ensures	ensure	VERB
ijassa-426	173	8	the	the	DET
ijassa-426	173	9	maximal	maximal	ADJ
ijassa-426	173	10	tractability	tractability	NOUN
ijassa-426	173	11	.	.	PUNCT
ijassa-426	174	1	if	if	SCONJ
ijassa-426	174	2	a	a	DET
ijassa-426	174	3	<	<	X
ijassa-426	174	4	1−	1−	NUM
ijassa-426	174	5	r0	r0	NOUN
ijassa-426	174	6	then	then	ADV
ijassa-426	174	7	the	the	DET
ijassa-426	174	8	greed	greed	NOUN
ijassa-426	174	9	is	be	AUX
ijassa-426	174	10	over	over	ADV
ijassa-426	174	11	-	-	PUNCT
ijassa-426	174	12	limited	limit	VERB
ijassa-426	174	13	and	and	CCONJ
ijassa-426	174	14	the	the	DET
ijassa-426	174	15	tractability	tractability	NOUN
ijassa-426	174	16	does	do	AUX
ijassa-426	174	17	not	not	PART
ijassa-426	174	18	reach	reach	VERB
ijassa-426	174	19	the	the	DET
ijassa-426	174	20	maximal	maximal	ADJ
ijassa-426	174	21	value	value	NOUN
ijassa-426	174	22	(	(	PUNCT
ijassa-426	174	23	i.e.	i.e.	X
ijassa-426	174	24	the	the	DET
ijassa-426	174	25	agent	agent	NOUN
ijassa-426	174	26	should	should	AUX
ijassa-426	174	27	sell	sell	VERB
ijassa-426	174	28	a	a	DET
ijassa-426	174	29	part	part	NOUN
ijassa-426	174	30	of	of	ADP
ijassa-426	174	31	the	the	DET
ijassa-426	174	32	social	social	ADJ
ijassa-426	174	33	real	real	ADJ
ijassa-426	174	34	estate	estate	NOUN
ijassa-426	174	35	himself	himself	PRON
ijassa-426	174	36	with	with	ADP
ijassa-426	174	37	any	any	DET
ijassa-426	174	38	bribe	bribe	NOUN
ijassa-426	174	39	)	)	PUNCT
ijassa-426	174	40	.	.	PUNCT
ijassa-426	175	1	when	when	SCONJ
ijassa-426	175	2	a	a	DET
ijassa-426	175	3	>	>	X
ijassa-426	175	4	1−	1−	NUM
ijassa-426	175	5	r0	r0	NOUN
ijassa-426	175	6	the	the	DET
ijassa-426	175	7	agent	agent	NOUN
ijassa-426	175	8	can	can	AUX
ijassa-426	175	9	sell	sell	VERB
ijassa-426	175	10	the	the	DET
ijassa-426	175	11	total	total	ADJ
ijassa-426	175	12	amount	amount	NOUN
ijassa-426	175	13	of	of	ADP
ijassa-426	175	14	the	the	DET
ijassa-426	175	15	social	social	ADJ
ijassa-426	175	16	real	real	ADJ
ijassa-426	175	17	estate	estate	NOUN
ijassa-426	175	18	to	to	ADP
ijassa-426	175	19	the	the	DET
ijassa-426	175	20	state	state	NOUN
ijassa-426	175	21	at	at	ADP
ijassa-426	175	22	a	a	DET
ijassa-426	175	23	fixed	fix	VERB
ijassa-426	175	24	price	price	NOUN
ijassa-426	175	25	in	in	ADP
ijassa-426	175	26	exchange	exchange	NOUN
ijassa-426	175	27	for	for	ADP
ijassa-426	175	28	a	a	DET
ijassa-426	175	29	moderate	moderate	ADJ
ijassa-426	175	30	bribe	bribe	NOUN
ijassa-426	175	31	(	(	PUNCT
ijassa-426	175	32	maximal	maximal	ADJ
ijassa-426	175	33	tractability	tractability	NOUN
ijassa-426	175	34	and	and	CCONJ
ijassa-426	175	35	small	small	ADJ
ijassa-426	175	36	greed	greed	NOUN
ijassa-426	175	37	)	)	PUNCT
ijassa-426	175	38	.	.	PUNCT
ijassa-426	176	1	the	the	DET
ijassa-426	176	2	optimization	optimization	NOUN
ijassa-426	176	3	problem	problem	NOUN
ijassa-426	176	4	(	(	PUNCT
ijassa-426	176	5	17	17	NUM
ijassa-426	176	6	)	)	PUNCT
ijassa-426	176	7	takes	take	VERB
ijassa-426	176	8	the	the	DET
ijassa-426	176	9	form	form	NOUN
ijassa-426	176	10	g(b	g(b	NOUN
ijassa-426	176	11	)	)	PUNCT
ijassa-426	176	12	=	=	PUNCT
ijassa-426	176	13	(	(	PUNCT
ijassa-426	176	14	1−	1−	NUM
ijassa-426	176	15	b)[r0	b)[r0	VERB
ijassa-426	176	16	+	+	PROPN
ijassa-426	176	17	ab+	ab+	NOUN
ijassa-426	176	18	ξ(1−	ξ(1−	PROPN
ijassa-426	176	19	(	(	PUNCT
ijassa-426	176	20	r0	r0	NOUN
ijassa-426	176	21	+	+	PROPN
ijassa-426	176	22	ab	ab	PROPN
ijassa-426	176	23	)	)	PUNCT
ijassa-426	176	24	)	)	PUNCT
ijassa-426	176	25	]	]	PUNCT
ijassa-426	177	1	→	→	SYM
ijassa-426	177	2	max	max	PROPN
ijassa-426	177	3	,	,	PUNCT
ijassa-426	177	4	0	0	NUM
ijassa-426	177	5	≤	≤	NUM
ijassa-426	177	6	b	b	X
ijassa-426	177	7	≤	≤	NUM
ijassa-426	177	8	1	1	NUM
ijassa-426	177	9	,	,	PUNCT
ijassa-426	177	10	46	46	NUM
ijassa-426	177	11	andrey	andrey	PROPN
ijassa-426	177	12	v.	v.	ADP
ijassa-426	177	13	antonenko	antonenko	PROPN
ijassa-426	177	14	:	:	PUNCT
ijassa-426	177	15	static	static	ADJ
ijassa-426	177	16	models	model	NOUN
ijassa-426	177	17	of	of	ADP
ijassa-426	177	18	corruption	corruption	NOUN
ijassa-426	177	19	in	in	ADP
ijassa-426	177	20	hierarchical	hierarchical	ADJ
ijassa-426	177	21	systems	system	NOUN
ijassa-426	177	22	we	we	PRON
ijassa-426	177	23	have	have	VERB
ijassa-426	177	24	g(0	g(0	NOUN
ijassa-426	177	25	)	)	PUNCT
ijassa-426	177	26	=	=	SYM
ijassa-426	177	27	r0+ξ(1−r0	r0+ξ(1−r0	PROPN
ijassa-426	177	28	)	)	PUNCT
ijassa-426	177	29	,	,	PUNCT
ijassa-426	177	30	g(1	g(1	NOUN
ijassa-426	177	31	)	)	PUNCT
ijassa-426	177	32	=	=	SYM
ijassa-426	177	33	0	0	NUM
ijassa-426	177	34	,	,	PUNCT
ijassa-426	177	35	dg(b	dg(b	NUM
ijassa-426	177	36	)	)	PUNCT
ijassa-426	177	37	db	db	PROPN
ijassa-426	177	38	=	=	SYM
ijassa-426	177	39	−2a(1−ξ)b+a−aξ−r0−ξ+ξr0	−2a(1−ξ)b+a−aξ−r0−ξ+ξr0	PROPN
ijassa-426	177	40	.	.	PROPN
ijassa-426	177	41	from	from	ADP
ijassa-426	177	42	the	the	DET
ijassa-426	177	43	first	first	ADJ
ijassa-426	177	44	-	-	PUNCT
ijassa-426	177	45	order	order	NOUN
ijassa-426	177	46	condition	condition	NOUN
ijassa-426	177	47	dg(b	dg(b	PUNCT
ijassa-426	177	48	)	)	PUNCT
ijassa-426	177	49	db	db	PROPN
ijassa-426	177	50	=	=	NOUN
ijassa-426	177	51	0,we	0,we	NUM
ijassa-426	177	52	find	find	VERB
ijassa-426	177	53	b∗	b∗	ADJ
ijassa-426	177	54	=	=	SYM
ijassa-426	177	55	(	(	PUNCT
ijassa-426	177	56	a−r0)(1−ξ)−ξ	a−r0)(1−ξ)−ξ	PROPN
ijassa-426	177	57	2a(1−ξ	2a(1−ξ	PROPN
ijassa-426	177	58	)	)	PUNCT
ijassa-426	177	59	that	that	PRON
ijassa-426	177	60	is	be	AUX
ijassa-426	177	61	the	the	DET
ijassa-426	177	62	point	point	NOUN
ijassa-426	177	63	of	of	ADP
ijassa-426	177	64	maximum	maximum	NOUN
ijassa-426	177	65	because	because	SCONJ
ijassa-426	177	66	dg2(b∗	dg2(b∗	PROPN
ijassa-426	177	67	)	)	PUNCT
ijassa-426	177	68	db2	db2	NOUN
ijassa-426	177	69	=	=	SYM
ijassa-426	177	70	−2a(1−	−2a(1−	NOUN
ijassa-426	177	71	ξ	ξ	NOUN
ijassa-426	177	72	)	)	PUNCT
ijassa-426	177	73	<	<	X
ijassa-426	177	74	0	0	X
ijassa-426	177	75	.	.	PUNCT
ijassa-426	178	1	by	by	ADP
ijassa-426	178	2	the	the	DET
ijassa-426	178	3	structure	structure	NOUN
ijassa-426	178	4	gmax	gmax	NOUN
ijassa-426	178	5	=	=	SYM
ijassa-426	178	6	{	{	PUNCT
ijassa-426	178	7	g(0	g(0	PROPN
ijassa-426	178	8	)	)	PUNCT
ijassa-426	178	9	=	=	SYM
ijassa-426	178	10	r0	r0	NOUN
ijassa-426	178	11	+	+	CCONJ
ijassa-426	178	12	ξ(1−	ξ(1−	PROPN
ijassa-426	178	13	r0	r0	NOUN
ijassa-426	178	14	)	)	PUNCT
ijassa-426	178	15	,	,	PUNCT
ijassa-426	178	16	a	a	DET
ijassa-426	178	17	<	<	X
ijassa-426	178	18	r0(1−ξ)+ξ	r0(1−ξ)+ξ	PROPN
ijassa-426	178	19	1−ξ	1−ξ	NUM
ijassa-426	178	20	.	.	PUNCT
ijassa-426	179	1	g(b∗	g(b∗	X
ijassa-426	179	2	)	)	PUNCT
ijassa-426	179	3	>	>	X
ijassa-426	180	1	g(0	g(0	PROPN
ijassa-426	180	2	)	)	PUNCT
ijassa-426	180	3	,	,	PUNCT
ijassa-426	180	4	otherwise	otherwise	ADV
ijassa-426	180	5	.	.	PUNCT
ijassa-426	181	1	(	(	PUNCT
ijassa-426	181	2	19	19	NUM
ijassa-426	181	3	)	)	PUNCT
ijassa-426	181	4	thus	thus	ADV
ijassa-426	181	5	,	,	PUNCT
ijassa-426	181	6	the	the	DET
ijassa-426	181	7	agent	agent	NOUN
ijassa-426	181	8	’s	’s	PART
ijassa-426	181	9	optimal	optimal	ADJ
ijassa-426	181	10	strategy	strategy	NOUN
ijassa-426	181	11	is	be	AUX
ijassa-426	181	12	determined	determine	VERB
ijassa-426	181	13	by	by	ADP
ijassa-426	181	14	the	the	DET
ijassa-426	181	15	parameters	parameter	NOUN
ijassa-426	181	16	a	a	PRON
ijassa-426	181	17	,	,	PUNCT
ijassa-426	181	18	r0	r0	NOUN
ijassa-426	181	19	,	,	PUNCT
ijassa-426	181	20	ξ	ξ	PROPN
ijassa-426	181	21	subject	subject	NOUN
ijassa-426	181	22	to	to	ADP
ijassa-426	181	23	(	(	PUNCT
ijassa-426	181	24	19	19	NUM
ijassa-426	181	25	):	):	PUNCT
ijassa-426	181	26	in	in	ADP
ijassa-426	181	27	the	the	DET
ijassa-426	181	28	first	first	ADJ
ijassa-426	181	29	case	case	NOUN
ijassa-426	181	30	it	it	PRON
ijassa-426	181	31	is	be	AUX
ijassa-426	181	32	the	the	DET
ijassa-426	181	33	zero	zero	NUM
ijassa-426	181	34	bribe	bribe	NOUN
ijassa-426	181	35	,	,	PUNCT
ijassa-426	181	36	in	in	ADP
ijassa-426	181	37	the	the	DET
ijassa-426	181	38	second	second	ADJ
ijassa-426	181	39	one	one	NOUN
ijassa-426	181	40	the	the	DET
ijassa-426	181	41	bribe	bribe	NOUN
ijassa-426	181	42	b∗	b∗	ADV
ijassa-426	181	43	>	>	X
ijassa-426	181	44	0	0	PUNCT
ijassa-426	182	1	giving	give	VERB
ijassa-426	182	2	the	the	DET
ijassa-426	182	3	payoff	payoff	NOUN
ijassa-426	182	4	g(b∗	g(b∗	X
ijassa-426	182	5	)	)	PUNCT
ijassa-426	182	6	>	>	X
ijassa-426	182	7	g(0	g(0	PROPN
ijassa-426	182	8	)	)	PUNCT
ijassa-426	182	9	.	.	PUNCT
ijassa-426	183	1	now	now	ADV
ijassa-426	183	2	consider	consider	VERB
ijassa-426	183	3	the	the	DET
ijassa-426	183	4	models	model	NOUN
ijassa-426	183	5	of	of	ADP
ijassa-426	183	6	administrative	administrative	ADJ
ijassa-426	183	7	corruption	corruption	NOUN
ijassa-426	183	8	in	in	ADP
ijassa-426	183	9	real	real	ADJ
ijassa-426	183	10	estate	estate	NOUN
ijassa-426	183	11	development	development	NOUN
ijassa-426	183	12	.	.	PUNCT
ijassa-426	184	1	in	in	ADP
ijassa-426	184	2	a	a	DET
ijassa-426	184	3	general	general	ADJ
ijassa-426	184	4	case	case	NOUN
ijassa-426	184	5	the	the	DET
ijassa-426	184	6	optimization	optimization	NOUN
ijassa-426	184	7	problem	problem	NOUN
ijassa-426	184	8	has	have	VERB
ijassa-426	184	9	the	the	DET
ijassa-426	184	10	form	form	NOUN
ijassa-426	184	11	g(b	g(b	PROPN
ijassa-426	184	12	,	,	PUNCT
ijassa-426	184	13	u	u	NOUN
ijassa-426	184	14	)	)	PUNCT
ijassa-426	184	15	=	=	SYM
ijassa-426	184	16	(	(	PUNCT
ijassa-426	184	17	1−	1−	NUM
ijassa-426	184	18	b)[ru+	b)[ru+	NUM
ijassa-426	184	19	ξ(1−	ξ(1−	VERB
ijassa-426	184	20	r)u+	r)u+	VERB
ijassa-426	184	21	γη(γ)(1−	γη(γ)(1−	X
ijassa-426	184	22	u	u	NOUN
ijassa-426	184	23	)	)	PUNCT
ijassa-426	184	24	]	]	PUNCT
ijassa-426	184	25	→	→	SYM
ijassa-426	184	26	max	max	PROPN
ijassa-426	184	27	,	,	PUNCT
ijassa-426	184	28	s(b	s(b	PROPN
ijassa-426	184	29	)	)	PUNCT
ijassa-426	184	30	≤	≤	NUM
ijassa-426	184	31	u	u	NOUN
ijassa-426	184	32	≤	≤	NUM
ijassa-426	184	33	1	1	NUM
ijassa-426	184	34	,	,	PUNCT
ijassa-426	184	35	0	0	NUM
ijassa-426	185	1	≤	≤	NUM
ijassa-426	185	2	b	b	X
ijassa-426	185	3	≤	≤	NUM
ijassa-426	185	4	1	1	NUM
ijassa-426	185	5	,	,	PUNCT
ijassa-426	185	6	(	(	PUNCT
ijassa-426	185	7	20	20	NUM
ijassa-426	185	8	)	)	PUNCT
ijassa-426	185	9	where	where	SCONJ
ijassa-426	185	10	g(b	g(b	X
ijassa-426	185	11	,	,	PUNCT
ijassa-426	185	12	u	u	NOUN
ijassa-426	185	13	)	)	PUNCT
ijassa-426	185	14	is	be	AUX
ijassa-426	185	15	the	the	DET
ijassa-426	185	16	agent(developer	agent(developer	PROPN
ijassa-426	185	17	)	)	PUNCT
ijassa-426	185	18	’s	’s	PART
ijassa-426	185	19	payoff	payoff	NOUN
ijassa-426	185	20	function	function	NOUN
ijassa-426	185	21	that	that	PRON
ijassa-426	185	22	means	mean	VERB
ijassa-426	185	23	his	his	PRON
ijassa-426	185	24	income	income	NOUN
ijassa-426	185	25	from	from	ADP
ijassa-426	185	26	selling	sell	VERB
ijassa-426	185	27	all	all	DET
ijassa-426	185	28	types	type	NOUN
ijassa-426	185	29	of	of	ADP
ijassa-426	185	30	the	the	DET
ijassa-426	185	31	real	real	ADJ
ijassa-426	185	32	estate	estate	NOUN
ijassa-426	185	33	considering	consider	VERB
ijassa-426	185	34	corruption	corruption	NOUN
ijassa-426	185	35	;	;	PUNCT
ijassa-426	185	36	b	b	X
ijassa-426	185	37	is	be	AUX
ijassa-426	185	38	a	a	DET
ijassa-426	185	39	part	part	NOUN
ijassa-426	185	40	of	of	ADP
ijassa-426	185	41	the	the	DET
ijassa-426	185	42	administrative	administrative	ADJ
ijassa-426	185	43	bribe	bribe	NOUN
ijassa-426	185	44	;	;	PUNCT
ijassa-426	185	45	u	u	NOUN
ijassa-426	185	46	is	be	AUX
ijassa-426	185	47	a	a	DET
ijassa-426	185	48	part	part	NOUN
ijassa-426	185	49	of	of	ADP
ijassa-426	185	50	the	the	DET
ijassa-426	185	51	social	social	ADJ
ijassa-426	185	52	type	type	NOUN
ijassa-426	185	53	in	in	ADP
ijassa-426	185	54	the	the	DET
ijassa-426	185	55	total	total	ADJ
ijassa-426	185	56	amount	amount	NOUN
ijassa-426	185	57	of	of	ADP
ijassa-426	185	58	real	real	ADJ
ijassa-426	185	59	estate	estate	NOUN
ijassa-426	185	60	;	;	PUNCT
ijassa-426	185	61	r	r	X
ijassa-426	185	62	–	–	PUNCT
ijassa-426	185	63	a	a	DET
ijassa-426	185	64	part	part	NOUN
ijassa-426	185	65	of	of	ADP
ijassa-426	185	66	the	the	DET
ijassa-426	185	67	social	social	ADJ
ijassa-426	185	68	real	real	ADJ
ijassa-426	185	69	estate	estate	NOUN
ijassa-426	185	70	redeemed	redeem	VERB
ijassa-426	185	71	by	by	ADP
ijassa-426	185	72	the	the	DET
ijassa-426	185	73	state	state	NOUN
ijassa-426	185	74	at	at	ADP
ijassa-426	185	75	a	a	DET
ijassa-426	185	76	fixed	fix	VERB
ijassa-426	185	77	price	price	NOUN
ijassa-426	185	78	with	with	ADP
ijassa-426	185	79	a	a	DET
ijassa-426	185	80	guarantee	guarantee	NOUN
ijassa-426	185	81	;	;	PUNCT
ijassa-426	185	82	ξ	ξ	X
ijassa-426	185	83	–	–	PUNCT
ijassa-426	185	84	an	an	DET
ijassa-426	185	85	estimated	estimate	VERB
ijassa-426	185	86	part	part	NOUN
ijassa-426	185	87	of	of	ADP
ijassa-426	185	88	the	the	DET
ijassa-426	185	89	social	social	ADJ
ijassa-426	185	90	real	real	ADJ
ijassa-426	185	91	estate	estate	NOUN
ijassa-426	185	92	that	that	PRON
ijassa-426	185	93	can	can	AUX
ijassa-426	185	94	be	be	AUX
ijassa-426	185	95	sold	sell	VERB
ijassa-426	185	96	by	by	ADP
ijassa-426	185	97	the	the	DET
ijassa-426	185	98	agent	agent	NOUN
ijassa-426	185	99	himself	himself	PRON
ijassa-426	185	100	at	at	ADP
ijassa-426	185	101	the	the	DET
ijassa-426	185	102	same	same	ADJ
ijassa-426	185	103	price	price	NOUN
ijassa-426	185	104	;	;	PUNCT
ijassa-426	185	105	γ	γ	X
ijassa-426	185	106	>	>	X
ijassa-426	185	107	1	1	NUM
ijassa-426	185	108	–	–	PUNCT
ijassa-426	185	109	an	an	DET
ijassa-426	185	110	increasing	increase	VERB
ijassa-426	185	111	factor	factor	NOUN
ijassa-426	185	112	of	of	ADP
ijassa-426	185	113	the	the	DET
ijassa-426	185	114	price	price	NOUN
ijassa-426	185	115	of	of	ADP
ijassa-426	185	116	more	more	ADV
ijassa-426	185	117	expensive	expensive	ADJ
ijassa-426	185	118	types	type	NOUN
ijassa-426	185	119	of	of	ADP
ijassa-426	185	120	the	the	DET
ijassa-426	185	121	real	real	ADJ
ijassa-426	185	122	estate	estate	NOUN
ijassa-426	185	123	;	;	PUNCT
ijassa-426	185	124	η(γ	η(γ	PROPN
ijassa-426	185	125	)	)	PUNCT
ijassa-426	185	126	–	–	PUNCT
ijassa-426	185	127	an	an	DET
ijassa-426	185	128	estimated	estimate	VERB
ijassa-426	185	129	part	part	NOUN
ijassa-426	185	130	of	of	ADP
ijassa-426	185	131	the	the	DET
ijassa-426	185	132	agent	agent	NOUN
ijassa-426	185	133	’s	’s	PART
ijassa-426	185	134	own	own	ADJ
ijassa-426	185	135	sale	sale	NOUN
ijassa-426	185	136	of	of	ADP
ijassa-426	185	137	more	more	ADV
ijassa-426	185	138	expensive	expensive	ADJ
ijassa-426	185	139	types	type	NOUN
ijassa-426	185	140	of	of	ADP
ijassa-426	185	141	the	the	DET
ijassa-426	185	142	real	real	ADJ
ijassa-426	185	143	estate	estate	NOUN
ijassa-426	185	144	;	;	PUNCT
ijassa-426	185	145	s(b	s(b	NOUN
ijassa-426	185	146	)	)	PUNCT
ijassa-426	185	147	–	–	PUNCT
ijassa-426	185	148	an	an	DET
ijassa-426	185	149	obligatory	obligatory	ADJ
ijassa-426	185	150	minimal	minimal	ADJ
ijassa-426	185	151	quota	quota	NOUN
ijassa-426	185	152	of	of	ADP
ijassa-426	185	153	the	the	DET
ijassa-426	185	154	part	part	NOUN
ijassa-426	185	155	of	of	ADP
ijassa-426	185	156	social	social	ADJ
ijassa-426	185	157	real	real	ADJ
ijassa-426	185	158	estate	estate	NOUN
ijassa-426	185	159	in	in	ADP
ijassa-426	185	160	the	the	DET
ijassa-426	185	161	total	total	ADJ
ijassa-426	185	162	amount	amount	NOUN
ijassa-426	185	163	(	(	PUNCT
ijassa-426	185	164	can	can	AUX
ijassa-426	185	165	be	be	AUX
ijassa-426	185	166	diminished	diminish	VERB
ijassa-426	185	167	for	for	ADP
ijassa-426	185	168	a	a	DET
ijassa-426	185	169	bribe	bribe	NOUN
ijassa-426	185	170	)	)	PUNCT
ijassa-426	185	171	.	.	PUNCT
ijassa-426	186	1	notice	notice	VERB
ijassa-426	186	2	that	that	SCONJ
ijassa-426	186	3	in	in	ADP
ijassa-426	186	4	the	the	DET
ijassa-426	186	5	optimization	optimization	NOUN
ijassa-426	186	6	problem	problem	NOUN
ijassa-426	186	7	(	(	PUNCT
ijassa-426	186	8	20	20	NUM
ijassa-426	186	9	)	)	PUNCT
ijassa-426	186	10	the	the	DET
ijassa-426	186	11	payoff	payoff	NOUN
ijassa-426	186	12	function	function	NOUN
ijassa-426	186	13	depends	depend	VERB
ijassa-426	186	14	on	on	ADP
ijassa-426	186	15	two	two	NUM
ijassa-426	186	16	variables	variable	NOUN
ijassa-426	186	17	.	.	PUNCT
ijassa-426	187	1	investigate	investigate	VERB
ijassa-426	187	2	the	the	DET
ijassa-426	187	3	problem	problem	NOUN
ijassa-426	187	4	:	:	PUNCT
ijassa-426	187	5	∂g	∂g	PROPN
ijassa-426	187	6	∂b	∂b	PROPN
ijassa-426	187	7	=	=	PUNCT
ijassa-426	187	8	−[(r	−[(r	NOUN
ijassa-426	187	9	+	+	CCONJ
ijassa-426	187	10	ξ(1−	ξ(1−	PROPN
ijassa-426	187	11	r)−	r)−	PROPN
ijassa-426	187	12	γη)u+	γη)u+	PROPN
ijassa-426	187	13	γη	γη	NOUN
ijassa-426	187	14	]	]	PUNCT
ijassa-426	187	15	;	;	PUNCT
ijassa-426	187	16	∂g	∂g	PROPN
ijassa-426	187	17	∂b	∂b	PROPN
ijassa-426	187	18	=	=	SYM
ijassa-426	187	19	0	0	PROPN
ijassa-426	187	20	⇒	⇒	NOUN
ijassa-426	187	21	µ∗	µ∗	VERB
ijassa-426	188	1	=	=	SYM
ijassa-426	188	2	γη	γη	NOUN
ijassa-426	188	3	γη	γη	NOUN
ijassa-426	188	4	−	−	PROPN
ijassa-426	189	1	(	(	PUNCT
ijassa-426	189	2	r	r	NOUN
ijassa-426	189	3	+	+	CCONJ
ijassa-426	189	4	ξ(1−	ξ(1−	PROPN
ijassa-426	189	5	r	r	NOUN
ijassa-426	189	6	)	)	PUNCT
ijassa-426	189	7	)	)	PUNCT
ijassa-426	190	1	>	>	X
ijassa-426	190	2	0	0	NUM
ijassa-426	190	3	,	,	PUNCT
ijassa-426	190	4	r	r	NOUN
ijassa-426	190	5	+	+	CCONJ
ijassa-426	190	6	ξ(1−	ξ(1−	PROPN
ijassa-426	190	7	r	r	NOUN
ijassa-426	190	8	)	)	PUNCT
ijassa-426	190	9	<	<	X
ijassa-426	190	10	γη	γη	NOUN
ijassa-426	190	11	;	;	PUNCT
ijassa-426	190	12	∂2	∂2	PROPN
ijassa-426	190	13	g	g	PROPN
ijassa-426	190	14	∂b2	∂b2	PROPN
ijassa-426	190	15	=	=	SYM
ijassa-426	190	16	0	0	NUM
ijassa-426	190	17	,	,	PUNCT
ijassa-426	190	18	∂2	∂2	NOUN
ijassa-426	190	19	g	g	NOUN
ijassa-426	190	20	∂b∂u	∂b∂u	NOUN
ijassa-426	190	21	=	=	SYM
ijassa-426	191	1	γη	γη	NOUN
ijassa-426	191	2	−	−	PROPN
ijassa-426	192	1	(	(	PUNCT
ijassa-426	192	2	r	r	NOUN
ijassa-426	192	3	+	+	CCONJ
ijassa-426	192	4	ξ(1−	ξ(1−	PROPN
ijassa-426	192	5	r	r	NOUN
ijassa-426	192	6	)	)	PUNCT
ijassa-426	192	7	)	)	PUNCT
ijassa-426	192	8	;	;	PUNCT
ijassa-426	193	1	∂g	∂g	PROPN
ijassa-426	193	2	∂u	∂u	PROPN
ijassa-426	193	3	=	=	SYM
ijassa-426	193	4	(	(	PUNCT
ijassa-426	193	5	1−	1−	NUM
ijassa-426	193	6	b)(r	b)(r	NOUN
ijassa-426	193	7	+	+	CCONJ
ijassa-426	193	8	ξ(1−	ξ(1−	PROPN
ijassa-426	193	9	r)−	r)−	PROPN
ijassa-426	193	10	γη	γη	NOUN
ijassa-426	193	11	)	)	PUNCT
ijassa-426	193	12	;	;	PUNCT
ijassa-426	193	13	∂g	∂g	PROPN
ijassa-426	193	14	∂u	∂u	PROPN
ijassa-426	193	15	=	=	SYM
ijassa-426	193	16	0	0	NUM
ijassa-426	193	17	⇒	⇒	NOUN
ijassa-426	193	18	b∗	b∗	PROPN
ijassa-426	193	19	=	=	SYM
ijassa-426	193	20	1	1	NUM
ijassa-426	193	21	;	;	PUNCT
ijassa-426	193	22	∂2	∂2	PROPN
ijassa-426	193	23	g	g	NOUN
ijassa-426	193	24	∂u2	∂u2	NOUN
ijassa-426	193	25	=	=	SYM
ijassa-426	193	26	0	0	NUM
ijassa-426	193	27	;	;	PUNCT
ijassa-426	193	28	∂2	∂2	PROPN
ijassa-426	193	29	g	g	NOUN
ijassa-426	193	30	∂b∂u	∂b∂u	NOUN
ijassa-426	193	31	=	=	SYM
ijassa-426	193	32	γη	γη	NOUN
ijassa-426	193	33	−	−	PROPN
ijassa-426	194	1	(	(	PUNCT
ijassa-426	194	2	r	r	NOUN
ijassa-426	194	3	+	+	CCONJ
ijassa-426	194	4	ξ(1−	ξ(1−	PROPN
ijassa-426	194	5	r	r	NOUN
ijassa-426	194	6	)	)	PUNCT
ijassa-426	194	7	)	)	PUNCT
ijassa-426	194	8	.	.	PUNCT
ijassa-426	195	1	advances	advance	NOUN
ijassa-426	195	2	in	in	ADP
ijassa-426	195	3	systems	system	NOUN
ijassa-426	195	4	science	science	NOUN
ijassa-426	195	5	and	and	CCONJ
ijassa-426	195	6	applications	application	NOUN
ijassa-426	195	7	(	(	PUNCT
ijassa-426	195	8	2013	2013	NUM
ijassa-426	195	9	)	)	PUNCT
ijassa-426	195	10	vol.13	vol.13	NOUN
ijassa-426	195	11	no.1	no.1	X
ijassa-426	195	12	47	47	NUM
ijassa-426	195	13	the	the	DET
ijassa-426	195	14	hesse	hesse	PROPN
ijassa-426	195	15	matrix	matrix	NOUN
ijassa-426	195	16	has	have	VERB
ijassa-426	195	17	the	the	DET
ijassa-426	195	18	form	form	NOUN
ijassa-426	195	19	h	h	NOUN
ijassa-426	195	20	=	=	PUNCT
ijassa-426	195	21	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ijassa-426	195	22	0	0	NUM
ijassa-426	196	1	γη	γη	NOUN
ijassa-426	196	2	−	−	PROPN
ijassa-426	197	1	(	(	PUNCT
ijassa-426	197	2	r	r	NOUN
ijassa-426	197	3	+	+	CCONJ
ijassa-426	197	4	ξ(1−	ξ(1−	PROPN
ijassa-426	197	5	r	r	NOUN
ijassa-426	197	6	)	)	PUNCT
ijassa-426	197	7	)	)	PUNCT
ijassa-426	197	8	γη	γη	NOUN
ijassa-426	197	9	−	−	PROPN
ijassa-426	198	1	(	(	PUNCT
ijassa-426	198	2	r	r	NOUN
ijassa-426	198	3	+	+	CCONJ
ijassa-426	198	4	ξ(1−	ξ(1−	PROPN
ijassa-426	198	5	r	r	NOUN
ijassa-426	198	6	)	)	PUNCT
ijassa-426	198	7	)	)	PUNCT
ijassa-426	198	8	0	0	PUNCT
ijassa-426	199	1	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ijassa-426	199	2	,	,	PUNCT
ijassa-426	199	3	its	its	PRON
ijassa-426	199	4	determinant	determinant	NOUN
ijassa-426	199	5	is	be	AUX
ijassa-426	199	6	equal	equal	ADJ
ijassa-426	199	7	to	to	ADP
ijassa-426	199	8	|h|	|h|	PROPN
ijassa-426	199	9	=	=	PUNCT
ijassa-426	199	10	−[γη−(r+ξ(1−r))]2	−[γη−(r+ξ(1−r))]2	PROPN
ijassa-426	199	11	<	<	X
ijassa-426	199	12	0	0	X
ijassa-426	199	13	.	.	PUNCT
ijassa-426	200	1	therefore	therefore	ADV
ijassa-426	200	2	(	(	PUNCT
ijassa-426	200	3	b∗	b∗	ADJ
ijassa-426	200	4	,	,	PUNCT
ijassa-426	200	5	u∗	u∗	PROPN
ijassa-426	200	6	)	)	PUNCT
ijassa-426	200	7	is	be	AUX
ijassa-426	200	8	a	a	DET
ijassa-426	200	9	saddle	saddle	NOUN
ijassa-426	200	10	point	point	NOUN
ijassa-426	200	11	and	and	CCONJ
ijassa-426	200	12	maximum	maximum	NOUN
ijassa-426	200	13	of	of	ADP
ijassa-426	200	14	the	the	DET
ijassa-426	200	15	function	function	NOUN
ijassa-426	200	16	g(b	g(b	PROPN
ijassa-426	200	17	,	,	PUNCT
ijassa-426	200	18	u	u	NOUN
ijassa-426	200	19	)	)	PUNCT
ijassa-426	200	20	is	be	AUX
ijassa-426	200	21	reached	reach	VERB
ijassa-426	200	22	in	in	ADP
ijassa-426	200	23	the	the	DET
ijassa-426	200	24	boundary	boundary	NOUN
ijassa-426	200	25	of	of	ADP
ijassa-426	200	26	the	the	DET
ijassa-426	200	27	set	set	NOUN
ijassa-426	200	28	of	of	ADP
ijassa-426	200	29	admissible	admissible	ADJ
ijassa-426	200	30	values	value	NOUN
ijassa-426	200	31	.	.	PUNCT
ijassa-426	201	1	we	we	PRON
ijassa-426	201	2	have	have	VERB
ijassa-426	201	3	g(1	g(1	NOUN
ijassa-426	201	4	,	,	PUNCT
ijassa-426	201	5	u	u	NOUN
ijassa-426	201	6	)	)	PUNCT
ijassa-426	201	7	=	=	SYM
ijassa-426	201	8	0;g(0	0;g(0	NOUN
ijassa-426	201	9	,	,	PUNCT
ijassa-426	201	10	1	1	NUM
ijassa-426	201	11	)	)	PUNCT
ijassa-426	201	12	=	=	SYM
ijassa-426	201	13	r	r	NOUN
ijassa-426	201	14	+	+	NUM
ijassa-426	201	15	ξ(1−	ξ(1−	PROPN
ijassa-426	201	16	r)−	r)−	PROPN
ijassa-426	201	17	γη	γη	NOUN
ijassa-426	201	18	;	;	PUNCT
ijassa-426	201	19	g(0	g(0	PROPN
ijassa-426	201	20	,	,	PUNCT
ijassa-426	201	21	s0	s0	PROPN
ijassa-426	201	22	)	)	PUNCT
ijassa-426	201	23	=	=	SYM
ijassa-426	202	1	r	r	NOUN
ijassa-426	202	2	+	+	CCONJ
ijassa-426	202	3	ξ(1−	ξ(1−	PROPN
ijassa-426	202	4	r	r	NOUN
ijassa-426	202	5	)	)	PUNCT
ijassa-426	202	6	+	+	CCONJ
ijassa-426	202	7	(	(	PUNCT
ijassa-426	202	8	1−	1−	NUM
ijassa-426	202	9	s0)γη	s0)γη	PROPN
ijassa-426	202	10	>	>	X
ijassa-426	202	11	g(0	g(0	PROPN
ijassa-426	202	12	,	,	PUNCT
ijassa-426	202	13	1);g(0	1);g(0	NOUN
ijassa-426	202	14	,	,	PUNCT
ijassa-426	202	15	s0	s0	PROPN
ijassa-426	202	16	)	)	PUNCT
ijassa-426	202	17	>	>	X
ijassa-426	203	1	0	0	X
ijassa-426	203	2	.	.	PUNCT
ijassa-426	203	3	thus	thus	ADV
ijassa-426	203	4	in	in	ADP
ijassa-426	203	5	any	any	DET
ijassa-426	203	6	case	case	NOUN
ijassa-426	203	7	maximum	maximum	NOUN
ijassa-426	203	8	of	of	ADP
ijassa-426	203	9	the	the	DET
ijassa-426	203	10	function	function	NOUN
ijassa-426	203	11	g(b	g(b	PROPN
ijassa-426	203	12	,	,	PUNCT
ijassa-426	203	13	u	u	NOUN
ijassa-426	203	14	)	)	PUNCT
ijassa-426	203	15	is	be	AUX
ijassa-426	203	16	reached	reach	VERB
ijassa-426	203	17	when	when	SCONJ
ijassa-426	203	18	u	u	NOUN
ijassa-426	203	19	=	=	NOUN
ijassa-426	203	20	s(b	s(b	NOUN
ijassa-426	203	21	)	)	PUNCT
ijassa-426	203	22	.	.	PUNCT
ijassa-426	204	1	then	then	ADV
ijassa-426	204	2	one	one	NUM
ijassa-426	204	3	-	-	PUNCT
ijassa-426	204	4	variable	variable	NOUN
ijassa-426	204	5	optimization	optimization	NOUN
ijassa-426	204	6	problem	problem	NOUN
ijassa-426	204	7	arises	arise	VERB
ijassa-426	204	8	in	in	ADP
ijassa-426	204	9	the	the	DET
ijassa-426	204	10	form	form	NOUN
ijassa-426	204	11	g(b	g(b	NOUN
ijassa-426	204	12	)	)	PUNCT
ijassa-426	204	13	=	=	PUNCT
ijassa-426	205	1	(	(	PUNCT
ijassa-426	205	2	1−	1−	NUM
ijassa-426	205	3	b)[(r	b)[(r	NOUN
ijassa-426	205	4	+	+	NUM
ijassa-426	205	5	ξ(1−	ξ(1−	PROPN
ijassa-426	205	6	r)−	r)−	PROPN
ijassa-426	205	7	γη)s(b	γη)s(b	NUM
ijassa-426	205	8	)	)	PUNCT
ijassa-426	206	1	+	+	NUM
ijassa-426	206	2	γη	γη	NOUN
ijassa-426	206	3	]	]	PUNCT
ijassa-426	206	4	→	→	SYM
ijassa-426	206	5	max	max	PROPN
ijassa-426	206	6	,	,	PUNCT
ijassa-426	206	7	0	0	NUM
ijassa-426	206	8	≤	≤	NUM
ijassa-426	206	9	b	b	X
ijassa-426	206	10	≤	≤	NUM
ijassa-426	206	11	1	1	NUM
ijassa-426	206	12	.	.	PUNCT
ijassa-426	206	13	denote	denote	VERB
ijassa-426	206	14	c	c	NOUN
ijassa-426	206	15	=	=	SYM
ijassa-426	206	16	γη	γη	PROPN
ijassa-426	206	17	>	>	X
ijassa-426	206	18	0	0	PROPN
ijassa-426	206	19	,	,	PUNCT
ijassa-426	206	20	d	d	PROPN
ijassa-426	206	21	=	=	SYM
ijassa-426	206	22	γη−	γη−	NUM
ijassa-426	206	23	(	(	PUNCT
ijassa-426	206	24	r+	r+	PUNCT
ijassa-426	206	25	ξ(1−	ξ(1−	PROPN
ijassa-426	206	26	r	r	NOUN
ijassa-426	206	27	)	)	PUNCT
ijassa-426	206	28	)	)	PUNCT
ijassa-426	206	29	.	.	PUNCT
ijassa-426	207	1	notice	notice	VERB
ijassa-426	207	2	that	that	SCONJ
ijassa-426	207	3	if	if	SCONJ
ijassa-426	207	4	d	d	PROPN
ijassa-426	207	5	<	<	X
ijassa-426	207	6	0	0	X
ijassa-426	208	1	then	then	ADV
ijassa-426	208	2	it	it	PRON
ijassa-426	208	3	is	be	AUX
ijassa-426	208	4	more	more	ADV
ijassa-426	208	5	profitable	profitable	ADJ
ijassa-426	208	6	to	to	PART
ijassa-426	208	7	sell	sell	VERB
ijassa-426	208	8	the	the	DET
ijassa-426	208	9	social	social	ADJ
ijassa-426	208	10	real	real	ADJ
ijassa-426	208	11	estate	estate	NOUN
ijassa-426	208	12	than	than	ADP
ijassa-426	208	13	more	more	ADV
ijassa-426	208	14	expensive	expensive	ADJ
ijassa-426	208	15	one	one	NOUN
ijassa-426	208	16	,	,	PUNCT
ijassa-426	208	17	and	and	CCONJ
ijassa-426	208	18	to	to	PART
ijassa-426	208	19	give	give	VERB
ijassa-426	208	20	a	a	DET
ijassa-426	208	21	bribe	bribe	NOUN
ijassa-426	208	22	is	be	AUX
ijassa-426	208	23	not	not	PART
ijassa-426	208	24	rational	rational	ADJ
ijassa-426	208	25	.	.	PUNCT
ijassa-426	209	1	therefore	therefore	ADV
ijassa-426	209	2	the	the	DET
ijassa-426	209	3	agents	agent	NOUN
ijassa-426	209	4	payoff	payoff	VERB
ijassa-426	209	5	function	function	NOUN
ijassa-426	209	6	can	can	AUX
ijassa-426	209	7	be	be	AUX
ijassa-426	209	8	written	write	VERB
ijassa-426	209	9	in	in	ADP
ijassa-426	209	10	the	the	DET
ijassa-426	209	11	form	form	NOUN
ijassa-426	209	12	g(b	g(b	NOUN
ijassa-426	209	13	)	)	PUNCT
ijassa-426	209	14	=	=	PUNCT
ijassa-426	209	15	(	(	PUNCT
ijassa-426	209	16	1−	1−	NUM
ijassa-426	209	17	b)(c	b)(c	NUM
ijassa-426	209	18	−ds(b	−ds(b	NOUN
ijassa-426	209	19	)	)	PUNCT
ijassa-426	209	20	)	)	PUNCT
ijassa-426	209	21	,	,	PUNCT
ijassa-426	210	1	d	d	X
ijassa-426	210	2	>	>	X
ijassa-426	210	3	0	0	X
ijassa-426	210	4	.	.	PUNCT
ijassa-426	211	1	as	as	ADV
ijassa-426	211	2	earlier	early	ADV
ijassa-426	211	3	,	,	PUNCT
ijassa-426	211	4	represent	represent	VERB
ijassa-426	211	5	a	a	DET
ijassa-426	211	6	function	function	NOUN
ijassa-426	211	7	of	of	ADP
ijassa-426	211	8	administrative	administrative	ADJ
ijassa-426	211	9	corruption	corruption	NOUN
ijassa-426	211	10	in	in	ADP
ijassa-426	211	11	the	the	DET
ijassa-426	211	12	form	form	NOUN
ijassa-426	211	13	s(b	s(b	NOUN
ijassa-426	211	14	)	)	PUNCT
ijassa-426	211	15	=	=	SYM
ijassa-426	211	16	s0	s0	PROPN
ijassa-426	211	17	−abk	−abk	NOUN
ijassa-426	211	18	(	(	PUNCT
ijassa-426	211	19	a	a	DET
ijassa-426	211	20	>	>	X
ijassa-426	211	21	0	0	NUM
ijassa-426	211	22	)	)	PUNCT
ijassa-426	211	23	,	,	PUNCT
ijassa-426	211	24	0	0	NUM
ijassa-426	211	25	≤	≤	NUM
ijassa-426	211	26	s(b	s(b	NOUN
ijassa-426	211	27	)	)	PUNCT
ijassa-426	211	28	≤	≤	NOUN
ijassa-426	211	29	1	1	NUM
ijassa-426	211	30	,	,	PUNCT
ijassa-426	211	31	where	where	SCONJ
ijassa-426	211	32	s0	s0	PROPN
ijassa-426	211	33	is	be	AUX
ijassa-426	211	34	the	the	DET
ijassa-426	211	35	legislative	legislative	ADJ
ijassa-426	211	36	value	value	NOUN
ijassa-426	211	37	of	of	ADP
ijassa-426	211	38	quota	quota	NOUN
ijassa-426	211	39	,	,	PUNCT
ijassa-426	211	40	and	and	CCONJ
ijassa-426	211	41	restrict	restrict	VERB
ijassa-426	211	42	ourselves	ourselves	PRON
ijassa-426	211	43	by	by	ADP
ijassa-426	211	44	the	the	DET
ijassa-426	211	45	case	case	NOUN
ijassa-426	211	46	of	of	ADP
ijassa-426	211	47	linear	linear	PROPN
ijassa-426	211	48	(	(	PUNCT
ijassa-426	211	49	k	k	NOUN
ijassa-426	211	50	=	=	SYM
ijassa-426	211	51	1	1	X
ijassa-426	211	52	)	)	PUNCT
ijassa-426	211	53	parameterization	parameterization	NOUN
ijassa-426	211	54	of	of	ADP
ijassa-426	211	55	the	the	DET
ijassa-426	211	56	function	function	NOUN
ijassa-426	211	57	.	.	PUNCT
ijassa-426	212	1	s(b	s(b	NOUN
ijassa-426	212	2	)	)	PUNCT
ijassa-426	213	1	=	=	SYM
ijassa-426	213	2	s0	s0	NOUN
ijassa-426	213	3	−ab	−ab	X
ijassa-426	213	4	(	(	PUNCT
ijassa-426	213	5	a	a	PRON
ijassa-426	213	6	>	>	X
ijassa-426	213	7	0	0	NUM
ijassa-426	213	8	)	)	PUNCT
ijassa-426	213	9	,	,	PUNCT
ijassa-426	213	10	g(b	g(b	X
ijassa-426	213	11	)	)	PUNCT
ijassa-426	213	12	=	=	PUNCT
ijassa-426	213	13	(	(	PUNCT
ijassa-426	213	14	1−	1−	NUM
ijassa-426	213	15	b)(c	b)(c	ADJ
ijassa-426	213	16	−ds0	−ds0	ADP
ijassa-426	213	17	+	+	NOUN
ijassa-426	213	18	adb	adb	NOUN
ijassa-426	213	19	)	)	PUNCT
ijassa-426	213	20	=	=	PUNCT
ijassa-426	214	1	c	c	NOUN
ijassa-426	214	2	−ds0	−ds0	NOUN
ijassa-426	214	3	+	+	CCONJ
ijassa-426	214	4	(	(	PUNCT
ijassa-426	214	5	d(a+	d(a+	X
ijassa-426	214	6	s0)−	s0)−	NOUN
ijassa-426	214	7	c)b−adb2	c)b−adb2	NOUN
ijassa-426	214	8	;	;	PUNCT
ijassa-426	214	9	∂g	∂g	PROPN
ijassa-426	214	10	∂b	∂b	PROPN
ijassa-426	214	11	=	=	PUNCT
ijassa-426	214	12	ad(1−2b	ad(1−2b	PROPN
ijassa-426	214	13	)	)	PUNCT
ijassa-426	214	14	=	=	SYM
ijassa-426	214	15	0	0	NUM
ijassa-426	214	16	⇒	⇒	NOUN
ijassa-426	214	17	b∗	b∗	ADJ
ijassa-426	214	18	=	=	SYM
ijassa-426	214	19	1/2	1/2	NUM
ijassa-426	214	20	;	;	PUNCT
ijassa-426	214	21	∂2	∂2	PROPN
ijassa-426	214	22	g	g	PROPN
ijassa-426	214	23	∂b2	∂b2	PROPN
ijassa-426	214	24	=	=	PUNCT
ijassa-426	214	25	−2ad	−2ad	X
ijassa-426	214	26	<	<	X
ijassa-426	214	27	0	0	PUNCT
ijassa-426	214	28	⇒	⇒	PROPN
ijassa-426	214	29	b∗is	b∗is	PROPN
ijassa-426	214	30	the	the	DET
ijassa-426	214	31	point	point	NOUN
ijassa-426	214	32	of	of	ADP
ijassa-426	214	33	maximum	maximum	NOUN
ijassa-426	214	34	;	;	PUNCT
ijassa-426	214	35	g(0	g(0	NOUN
ijassa-426	214	36	)	)	PUNCT
ijassa-426	214	37	=	=	SYM
ijassa-426	214	38	c	c	NOUN
ijassa-426	214	39	−ds0	−ds0	NOUN
ijassa-426	214	40	;	;	PUNCT
ijassa-426	214	41	g(1	g(1	NOUN
ijassa-426	214	42	)	)	PUNCT
ijassa-426	214	43	=	=	SYM
ijassa-426	214	44	0	0	NUM
ijassa-426	214	45	;	;	PUNCT
ijassa-426	214	46	g(b∗	g(b∗	X
ijassa-426	214	47	)	)	PUNCT
ijassa-426	215	1	=	=	SYM
ijassa-426	215	2	2c	2c	NUM
ijassa-426	215	3	+	+	ADP
ijassa-426	215	4	d(a−	d(a−	PROPN
ijassa-426	215	5	2s0	2s0	NUM
ijassa-426	215	6	)	)	PUNCT
ijassa-426	215	7	4	4	NUM
ijassa-426	215	8	.	.	PUNCT
ijassa-426	216	1	thus	thus	ADV
ijassa-426	216	2	,	,	PUNCT
ijassa-426	216	3	gmax	gmax	NOUN
ijassa-426	216	4	=	=	SYM
ijassa-426	216	5	{	{	PUNCT
ijassa-426	216	6	g(b∗	g(b∗	X
ijassa-426	216	7	)	)	PUNCT
ijassa-426	216	8	,	,	PUNCT
ijassa-426	216	9	d(a+	d(a+	NOUN
ijassa-426	216	10	2s0	2s0	NUM
ijassa-426	216	11	)	)	PUNCT
ijassa-426	216	12	>	>	X
ijassa-426	216	13	2c	2c	NOUN
ijassa-426	216	14	,	,	PUNCT
ijassa-426	216	15	g(0	g(0	PROPN
ijassa-426	216	16	)	)	PUNCT
ijassa-426	216	17	,	,	PUNCT
ijassa-426	216	18	otherwise	otherwise	ADV
ijassa-426	216	19	i.e.	i.e.	X
ijassa-426	216	20	the	the	DET
ijassa-426	216	21	advantageousness	advantageousness	NOUN
ijassa-426	216	22	of	of	ADP
ijassa-426	216	23	giving	give	VERB
ijassa-426	216	24	a	a	DET
ijassa-426	216	25	bribe	bribe	NOUN
ijassa-426	216	26	depends	depend	VERB
ijassa-426	216	27	on	on	ADP
ijassa-426	216	28	the	the	DET
ijassa-426	216	29	relation	relation	NOUN
ijassa-426	216	30	between	between	ADP
ijassa-426	216	31	the	the	DET
ijassa-426	216	32	model	model	NOUN
ijassa-426	216	33	parameters	parameter	NOUN
ijassa-426	216	34	.	.	PUNCT
ijassa-426	217	1	notice	notice	VERB
ijassa-426	217	2	that	that	SCONJ
ijassa-426	217	3	in	in	ADP
ijassa-426	217	4	the	the	DET
ijassa-426	217	5	case	case	NOUN
ijassa-426	217	6	b	b	NOUN
ijassa-426	217	7	=	=	SYM
ijassa-426	217	8	b∗	b∗	ADJ
ijassa-426	217	9	the	the	DET
ijassa-426	217	10	agent	agent	NOUN
ijassa-426	217	11	’s	’s	PART
ijassa-426	217	12	payoff	payoff	NOUN
ijassa-426	217	13	is	be	AUX
ijassa-426	217	14	positive	positive	ADJ
ijassa-426	217	15	if	if	SCONJ
ijassa-426	217	16	s0	s0	PROPN
ijassa-426	217	17	<	<	X
ijassa-426	217	18	2c+ad	2c+ad	NUM
ijassa-426	217	19	2d	2d	NUM
ijassa-426	217	20	,	,	PUNCT
ijassa-426	217	21	i.e.	i.e.	X
ijassa-426	217	22	an	an	DET
ijassa-426	217	23	obligatory	obligatory	ADJ
ijassa-426	217	24	quota	quota	NOUN
ijassa-426	217	25	of	of	ADP
ijassa-426	217	26	the	the	DET
ijassa-426	217	27	social	social	ADJ
ijassa-426	217	28	real	real	ADJ
ijassa-426	217	29	estate	estate	NOUN
ijassa-426	217	30	is	be	AUX
ijassa-426	217	31	not	not	PART
ijassa-426	217	32	very	very	ADV
ijassa-426	217	33	big	big	ADJ
ijassa-426	217	34	.	.	PUNCT
ijassa-426	218	1	48	48	NUM
ijassa-426	218	2	andrey	andrey	PROPN
ijassa-426	218	3	v.	v.	ADP
ijassa-426	218	4	antonenko	antonenko	PROPN
ijassa-426	218	5	:	:	PUNCT
ijassa-426	218	6	static	static	ADJ
ijassa-426	218	7	models	model	NOUN
ijassa-426	218	8	of	of	ADP
ijassa-426	218	9	corruption	corruption	NOUN
ijassa-426	218	10	in	in	ADP
ijassa-426	218	11	hierarchical	hierarchical	ADJ
ijassa-426	218	12	systems	system	NOUN
ijassa-426	218	13	now	now	ADV
ijassa-426	218	14	consider	consider	VERB
ijassa-426	218	15	a	a	DET
ijassa-426	218	16	game	game	NOUN
ijassa-426	218	17	theoretic	theoretic	NOUN
ijassa-426	218	18	model	model	NOUN
ijassa-426	218	19	of	of	ADP
ijassa-426	218	20	the	the	DET
ijassa-426	218	21	administrative	administrative	ADJ
ijassa-426	218	22	corruption	corruption	NOUN
ijassa-426	218	23	in	in	ADP
ijassa-426	218	24	real	real	ADJ
ijassa-426	218	25	estate	estate	NOUN
ijassa-426	218	26	development	development	NOUN
ijassa-426	218	27	in	in	ADP
ijassa-426	218	28	the	the	DET
ijassa-426	218	29	form	form	NOUN
ijassa-426	218	30	gp(q	gp(q	X
ijassa-426	218	31	,	,	PUNCT
ijassa-426	218	32	s	s	PART
ijassa-426	218	33	)	)	PUNCT
ijassa-426	218	34	=	=	SYM
ijassa-426	218	35	p1(s−	p1(s−	ADP
ijassa-426	218	36	s0)−	s0)−	NOUN
ijassa-426	218	37	q	q	NOUN
ijassa-426	218	38	s0	s0	PROPN
ijassa-426	219	1	−	−	PROPN
ijassa-426	219	2	q	q	PROPN
ijassa-426	219	3	→	→	SYM
ijassa-426	219	4	max	max	PROPN
ijassa-426	219	5	,	,	PUNCT
ijassa-426	219	6	0	0	NUM
ijassa-426	219	7	≤	≤	PROPN
ijassa-426	219	8	q	q	ADJ
ijassa-426	219	9	≤	≤	NUM
ijassa-426	219	10	s0	s0	NOUN
ijassa-426	219	11	.	.	PUNCT
ijassa-426	220	1	gs(s	gs(s	PROPN
ijassa-426	220	2	,	,	PUNCT
ijassa-426	220	3	b	b	X
ijassa-426	220	4	)	)	PUNCT
ijassa-426	220	5	=	=	SYM
ijassa-426	220	6	p2(s−	p2(s−	X
ijassa-426	220	7	s0	s0	NOUN
ijassa-426	220	8	)	)	PUNCT
ijassa-426	221	1	+	+	NUM
ijassa-426	221	2	bc[(r	bc[(r	X
ijassa-426	221	3	+	+	X
ijassa-426	221	4	ξ(c)(1−	ξ(c)(1−	NOUN
ijassa-426	221	5	r))u+	r))u+	NUM
ijassa-426	221	6	γη(γ)(1−	γη(γ)(1−	X
ijassa-426	221	7	u	u	NOUN
ijassa-426	221	8	)	)	PUNCT
ijassa-426	221	9	]	]	PUNCT
ijassa-426	221	10	→	→	SYM
ijassa-426	221	11	max	max	PROPN
ijassa-426	221	12	,	,	PUNCT
ijassa-426	221	13	q	q	PROPN
ijassa-426	221	14	≤	≤	PROPN
ijassa-426	221	15	s	s	PART
ijassa-426	221	16	≤	≤	NUM
ijassa-426	221	17	s0	s0	NOUN
ijassa-426	221	18	.	.	PUNCT
ijassa-426	222	1	ga(b	ga(b	PROPN
ijassa-426	222	2	,	,	PUNCT
ijassa-426	222	3	u	u	NOUN
ijassa-426	222	4	)	)	PUNCT
ijassa-426	222	5	=	=	SYM
ijassa-426	222	6	c(1−	c(1−	NOUN
ijassa-426	222	7	b)[(r	b)[(r	NOUN
ijassa-426	222	8	+	+	SYM
ijassa-426	222	9	ξ(c)(1−	ξ(c)(1−	NOUN
ijassa-426	222	10	r))u+	r))u+	NUM
ijassa-426	222	11	γη(γ)(1−	γη(γ)(1−	X
ijassa-426	222	12	u	u	NOUN
ijassa-426	222	13	)	)	PUNCT
ijassa-426	222	14	]	]	PUNCT
ijassa-426	222	15	→	→	SYM
ijassa-426	222	16	max	max	PROPN
ijassa-426	222	17	,	,	PUNCT
ijassa-426	222	18	s	s	PART
ijassa-426	222	19	≤	≤	NUM
ijassa-426	222	20	u	u	NOUN
ijassa-426	222	21	≤	≤	NUM
ijassa-426	222	22	1	1	NUM
ijassa-426	222	23	,	,	PUNCT
ijassa-426	222	24	0	0	NUM
ijassa-426	222	25	≤	≤	NUM
ijassa-426	222	26	b	b	X
ijassa-426	222	27	≤	≤	NUM
ijassa-426	222	28	1	1	NUM
ijassa-426	222	29	.	.	PUNCT
ijassa-426	223	1	(	(	PUNCT
ijassa-426	223	2	21	21	NUM
ijassa-426	223	3	)	)	PUNCT
ijassa-426	223	4	here	here	ADV
ijassa-426	223	5	b	b	X
ijassa-426	223	6	is	be	AUX
ijassa-426	223	7	a	a	DET
ijassa-426	223	8	part	part	NOUN
ijassa-426	223	9	of	of	ADP
ijassa-426	223	10	the	the	DET
ijassa-426	223	11	administrative	administrative	ADJ
ijassa-426	223	12	bribe	bribe	NOUN
ijassa-426	223	13	;	;	PUNCT
ijassa-426	223	14	u	u	NOUN
ijassa-426	223	15	is	be	AUX
ijassa-426	223	16	a	a	DET
ijassa-426	223	17	part	part	NOUN
ijassa-426	223	18	of	of	ADP
ijassa-426	223	19	the	the	DET
ijassa-426	223	20	social	social	ADJ
ijassa-426	223	21	type	type	NOUN
ijassa-426	223	22	in	in	ADP
ijassa-426	223	23	the	the	DET
ijassa-426	223	24	total	total	ADJ
ijassa-426	223	25	amount	amount	NOUN
ijassa-426	223	26	of	of	ADP
ijassa-426	223	27	real	real	ADJ
ijassa-426	223	28	estate	estate	NOUN
ijassa-426	223	29	;	;	PUNCT
ijassa-426	223	30	c	c	X
ijassa-426	223	31	–	–	PUNCT
ijassa-426	223	32	a	a	DET
ijassa-426	223	33	price	price	NOUN
ijassa-426	223	34	of	of	ADP
ijassa-426	223	35	the	the	DET
ijassa-426	223	36	social	social	ADJ
ijassa-426	223	37	real	real	ADJ
ijassa-426	223	38	estate	estate	NOUN
ijassa-426	223	39	;	;	PUNCT
ijassa-426	223	40	r	r	X
ijassa-426	223	41	–	–	PUNCT
ijassa-426	223	42	a	a	DET
ijassa-426	223	43	part	part	NOUN
ijassa-426	223	44	of	of	ADP
ijassa-426	223	45	the	the	DET
ijassa-426	223	46	social	social	ADJ
ijassa-426	223	47	real	real	ADJ
ijassa-426	223	48	estate	estate	NOUN
ijassa-426	223	49	redeemed	redeem	VERB
ijassa-426	223	50	by	by	ADP
ijassa-426	223	51	the	the	DET
ijassa-426	223	52	state	state	NOUN
ijassa-426	223	53	at	at	ADP
ijassa-426	223	54	the	the	DET
ijassa-426	223	55	fixed	fix	VERB
ijassa-426	223	56	price	price	NOUN
ijassa-426	223	57	c	c	NOUN
ijassa-426	223	58	with	with	ADP
ijassa-426	223	59	a	a	DET
ijassa-426	223	60	guarantee	guarantee	NOUN
ijassa-426	223	61	;	;	PUNCT
ijassa-426	223	62	ξ(c	ξ(c	NUM
ijassa-426	223	63	)	)	PUNCT
ijassa-426	223	64	–	–	PUNCT
ijassa-426	223	65	an	an	DET
ijassa-426	223	66	estimated	estimate	VERB
ijassa-426	223	67	part	part	NOUN
ijassa-426	223	68	of	of	ADP
ijassa-426	223	69	the	the	DET
ijassa-426	223	70	social	social	ADJ
ijassa-426	223	71	real	real	ADJ
ijassa-426	223	72	estate	estate	NOUN
ijassa-426	223	73	that	that	PRON
ijassa-426	223	74	can	can	AUX
ijassa-426	223	75	be	be	AUX
ijassa-426	223	76	sold	sell	VERB
ijassa-426	223	77	by	by	ADP
ijassa-426	223	78	the	the	DET
ijassa-426	223	79	agent	agent	NOUN
ijassa-426	223	80	himself	himself	PRON
ijassa-426	223	81	at	at	ADP
ijassa-426	223	82	the	the	DET
ijassa-426	223	83	same	same	ADJ
ijassa-426	223	84	price	price	NOUN
ijassa-426	223	85	;	;	PUNCT
ijassa-426	223	86	γ	γ	X
ijassa-426	223	87	>	>	X
ijassa-426	223	88	1	1	NUM
ijassa-426	223	89	–	–	PUNCT
ijassa-426	223	90	an	an	DET
ijassa-426	223	91	increasing	increase	VERB
ijassa-426	223	92	factor	factor	NOUN
ijassa-426	223	93	of	of	ADP
ijassa-426	223	94	the	the	DET
ijassa-426	223	95	price	price	NOUN
ijassa-426	223	96	of	of	ADP
ijassa-426	223	97	more	more	ADV
ijassa-426	223	98	expensive	expensive	ADJ
ijassa-426	223	99	types	type	NOUN
ijassa-426	223	100	of	of	ADP
ijassa-426	223	101	the	the	DET
ijassa-426	223	102	real	real	ADJ
ijassa-426	223	103	estate	estate	NOUN
ijassa-426	223	104	;	;	PUNCT
ijassa-426	223	105	η(γ	η(γ	PROPN
ijassa-426	223	106	)	)	PUNCT
ijassa-426	223	107	–	–	PUNCT
ijassa-426	223	108	an	an	DET
ijassa-426	223	109	estimated	estimate	VERB
ijassa-426	223	110	part	part	NOUN
ijassa-426	223	111	of	of	ADP
ijassa-426	223	112	the	the	DET
ijassa-426	223	113	agent	agent	NOUN
ijassa-426	223	114	’s	’s	PART
ijassa-426	223	115	own	own	ADJ
ijassa-426	223	116	sale	sale	NOUN
ijassa-426	223	117	of	of	ADP
ijassa-426	223	118	more	more	ADV
ijassa-426	223	119	expensive	expensive	ADJ
ijassa-426	223	120	types	type	NOUN
ijassa-426	223	121	of	of	ADP
ijassa-426	223	122	the	the	DET
ijassa-426	223	123	real	real	ADJ
ijassa-426	223	124	estate	estate	NOUN
ijassa-426	223	125	;	;	PUNCT
ijassa-426	223	126	s(b	s(b	NOUN
ijassa-426	223	127	)	)	PUNCT
ijassa-426	223	128	–	–	PUNCT
ijassa-426	223	129	an	an	DET
ijassa-426	223	130	obligatory	obligatory	ADJ
ijassa-426	223	131	minimal	minimal	ADJ
ijassa-426	223	132	quota	quota	NOUN
ijassa-426	223	133	of	of	ADP
ijassa-426	223	134	the	the	DET
ijassa-426	223	135	part	part	NOUN
ijassa-426	223	136	of	of	ADP
ijassa-426	223	137	social	social	ADJ
ijassa-426	223	138	real	real	ADJ
ijassa-426	223	139	estate	estate	NOUN
ijassa-426	223	140	in	in	ADP
ijassa-426	223	141	the	the	DET
ijassa-426	223	142	total	total	ADJ
ijassa-426	223	143	amount	amount	NOUN
ijassa-426	223	144	(	(	PUNCT
ijassa-426	223	145	can	can	AUX
ijassa-426	223	146	be	be	AUX
ijassa-426	223	147	diminished	diminish	VERB
ijassa-426	223	148	for	for	ADP
ijassa-426	223	149	a	a	DET
ijassa-426	223	150	bribe	bribe	NOUN
ijassa-426	223	151	)	)	PUNCT
ijassa-426	223	152	;	;	PUNCT
ijassa-426	223	153	q	q	X
ijassa-426	223	154	–	–	PUNCT
ijassa-426	223	155	a	a	DET
ijassa-426	223	156	parameter	parameter	NOUN
ijassa-426	223	157	of	of	ADP
ijassa-426	223	158	the	the	DET
ijassa-426	223	159	principal	principal	NOUN
ijassa-426	223	160	’s	’s	PART
ijassa-426	223	161	administrative	administrative	ADJ
ijassa-426	223	162	control	control	PROPN
ijassa-426	223	163	;	;	PUNCT
ijassa-426	223	164	p1	p1	NOUN
ijassa-426	223	165	,	,	PUNCT
ijassa-426	223	166	p2	p2	X
ijassa-426	223	167	>	>	X
ijassa-426	223	168	0	0	NUM
ijassa-426	224	1	–	–	PUNCT
ijassa-426	224	2	penalty	penalty	NOUN
ijassa-426	224	3	factors	factor	NOUN
ijassa-426	224	4	charged	charge	VERB
ijassa-426	224	5	on	on	ADP
ijassa-426	224	6	the	the	DET
ijassa-426	224	7	principal	principal	NOUN
ijassa-426	224	8	and	and	CCONJ
ijassa-426	224	9	the	the	DET
ijassa-426	224	10	supervisor	supervisor	NOUN
ijassa-426	224	11	respectively	respectively	ADV
ijassa-426	224	12	if	if	SCONJ
ijassa-426	224	13	the	the	DET
ijassa-426	224	14	quota	quota	NOUN
ijassa-426	224	15	(	(	PUNCT
ijassa-426	224	16	condition	condition	NOUN
ijassa-426	224	17	of	of	ADP
ijassa-426	224	18	sustainable	sustainable	ADJ
ijassa-426	224	19	development	development	NOUN
ijassa-426	224	20	s	s	PART
ijassa-426	224	21	≥	≥	NOUN
ijassa-426	224	22	s0	s0	PROPN
ijassa-426	224	23	)	)	PUNCT
ijassa-426	224	24	is	be	AUX
ijassa-426	224	25	violated	violate	VERB
ijassa-426	224	26	.	.	PUNCT
ijassa-426	225	1	it	it	PRON
ijassa-426	225	2	is	be	AUX
ijassa-426	225	3	supposed	suppose	VERB
ijassa-426	225	4	that	that	SCONJ
ijassa-426	225	5	r	r	NOUN
ijassa-426	225	6	=	=	SYM
ijassa-426	225	7	const	const	NOUN
ijassa-426	225	8	,	,	PUNCT
ijassa-426	225	9	∼	∼	NOUN
ijassa-426	225	10	s	s	NOUN
ijassa-426	225	11	=	=	PUNCT
ijassa-426	225	12	s(b	s(b	NOUN
ijassa-426	225	13	)	)	PUNCT
ijassa-426	225	14	.	.	PUNCT
ijassa-426	226	1	the	the	DET
ijassa-426	226	2	problem	problem	NOUN
ijassa-426	226	3	(	(	PUNCT
ijassa-426	226	4	21	21	NUM
ijassa-426	226	5	)	)	PUNCT
ijassa-426	226	6	is	be	AUX
ijassa-426	226	7	solved	solve	VERB
ijassa-426	226	8	using	use	VERB
ijassa-426	226	9	a	a	DET
ijassa-426	226	10	heuristic	heuristic	ADJ
ijassa-426	226	11	two	two	NUM
ijassa-426	226	12	-	-	PUNCT
ijassa-426	226	13	stage	stage	NOUN
ijassa-426	226	14	algorithm	algorithm	NOUN
ijassa-426	226	15	.	.	PUNCT
ijassa-426	227	1	on	on	ADP
ijassa-426	227	2	the	the	DET
ijassa-426	227	3	first	first	ADJ
ijassa-426	227	4	stage	stage	NOUN
ijassa-426	227	5	the	the	DET
ijassa-426	227	6	hierarchical	hierarchical	ADJ
ijassa-426	227	7	game	game	NOUN
ijassa-426	227	8	between	between	ADP
ijassa-426	227	9	the	the	DET
ijassa-426	227	10	supervisor	supervisor	NOUN
ijassa-426	227	11	and	and	CCONJ
ijassa-426	227	12	the	the	DET
ijassa-426	227	13	agent	agent	NOUN
ijassa-426	227	14	is	be	AUX
ijassa-426	227	15	considered	consider	VERB
ijassa-426	227	16	.	.	PUNCT
ijassa-426	228	1	notice	notice	VERB
ijassa-426	228	2	that	that	SCONJ
ijassa-426	228	3	the	the	DET
ijassa-426	228	4	function	function	NOUN
ijassa-426	228	5	ga	ga	PROPN
ijassa-426	228	6	achieves	achieve	VERB
ijassa-426	228	7	its	its	PRON
ijassa-426	228	8	maximum	maximum	NOUN
ijassa-426	228	9	in	in	ADP
ijassa-426	228	10	u	u	NOUN
ijassa-426	228	11	independently	independently	ADV
ijassa-426	228	12	from	from	ADP
ijassa-426	228	13	b	b	PROPN
ijassa-426	228	14	,	,	PUNCT
ijassa-426	228	15	therefore	therefore	ADV
ijassa-426	228	16	subject	subject	ADJ
ijassa-426	228	17	to	to	ADP
ijassa-426	228	18	the	the	DET
ijassa-426	228	19	linearity	linearity	NOUN
ijassa-426	228	20	of	of	ADP
ijassa-426	228	21	the	the	DET
ijassa-426	228	22	function	function	NOUN
ijassa-426	228	23	ga	ga	PROPN
ijassa-426	228	24	in	in	ADP
ijassa-426	228	25	u	u	PRON
ijassa-426	228	26	the	the	DET
ijassa-426	228	27	solution	solution	NOUN
ijassa-426	228	28	of	of	ADP
ijassa-426	228	29	the	the	DET
ijassa-426	228	30	agent	agent	NOUN
ijassa-426	228	31	’s	’s	PART
ijassa-426	228	32	problem	problem	NOUN
ijassa-426	228	33	has	have	VERB
ijassa-426	228	34	the	the	DET
ijassa-426	228	35	form	form	NOUN
ijassa-426	228	36	u∗	u∗	ADJ
ijassa-426	228	37	=	=	PUNCT
ijassa-426	228	38	{	{	PUNCT
ijassa-426	228	39	1	1	NUM
ijassa-426	228	40	,	,	PUNCT
ijassa-426	228	41	r	r	NOUN
ijassa-426	228	42	+	+	CCONJ
ijassa-426	228	43	ξ(c)(1−	ξ(c)(1−	NUM
ijassa-426	228	44	r	r	NOUN
ijassa-426	228	45	)	)	PUNCT
ijassa-426	228	46	≥	≥	NOUN
ijassa-426	228	47	γη(γ	γη(γ	NUM
ijassa-426	228	48	)	)	PUNCT
ijassa-426	228	49	,	,	PUNCT
ijassa-426	228	50	s	s	AUX
ijassa-426	228	51	,	,	PUNCT
ijassa-426	228	52	otherwise	otherwise	ADV
ijassa-426	228	53	consider	consider	VERB
ijassa-426	228	54	these	these	DET
ijassa-426	228	55	two	two	NUM
ijassa-426	228	56	cases	case	NOUN
ijassa-426	228	57	separately	separately	ADV
ijassa-426	228	58	.	.	PUNCT
ijassa-426	229	1	1	1	NUM
ijassa-426	229	2	)	)	PUNCT
ijassa-426	229	3	.	.	PUNCT
ijassa-426	230	1	r+	r+	VERB
ijassa-426	230	2	ξ(c)(1−	ξ(c)(1−	X
ijassa-426	230	3	r	r	NOUN
ijassa-426	230	4	)	)	PUNCT
ijassa-426	230	5	≥	≥	NOUN
ijassa-426	230	6	γη(γ	γη(γ	PUNCT
ijassa-426	230	7	)	)	PUNCT
ijassa-426	230	8	,	,	PUNCT
ijassa-426	230	9	i.e.	i.e.	X
ijassa-426	230	10	it	it	PRON
ijassa-426	230	11	is	be	AUX
ijassa-426	230	12	more	more	ADV
ijassa-426	230	13	profitable	profitable	ADJ
ijassa-426	230	14	to	to	PART
ijassa-426	230	15	sell	sell	VERB
ijassa-426	230	16	the	the	DET
ijassa-426	230	17	social	social	ADJ
ijassa-426	230	18	real	real	ADJ
ijassa-426	230	19	estate	estate	NOUN
ijassa-426	230	20	.	.	PUNCT
ijassa-426	231	1	in	in	ADP
ijassa-426	231	2	this	this	DET
ijassa-426	231	3	case	case	NOUN
ijassa-426	231	4	a	a	DET
ijassa-426	231	5	game	game	NOUN
ijassa-426	231	6	does	do	AUX
ijassa-426	231	7	not	not	PART
ijassa-426	231	8	arise	arise	VERB
ijassa-426	231	9	because	because	SCONJ
ijassa-426	231	10	when	when	SCONJ
ijassa-426	231	11	u	u	PROPN
ijassa-426	231	12	=	=	NOUN
ijassa-426	231	13	1	1	NUM
ijassa-426	231	14	then	then	ADV
ijassa-426	231	15	the	the	DET
ijassa-426	231	16	function	function	NOUN
ijassa-426	231	17	ga	ga	PROPN
ijassa-426	231	18	does	do	AUX
ijassa-426	231	19	not	not	PART
ijassa-426	231	20	depend	depend	VERB
ijassa-426	231	21	on	on	ADP
ijassa-426	231	22	s.	s.	PROPN
ijassa-426	231	23	an	an	DET
ijassa-426	231	24	evident	evident	ADJ
ijassa-426	231	25	solution	solution	NOUN
ijassa-426	231	26	of	of	ADP
ijassa-426	231	27	the	the	DET
ijassa-426	231	28	optimization	optimization	NOUN
ijassa-426	231	29	problem	problem	NOUN
ijassa-426	231	30	is	be	AUX
ijassa-426	231	31	b	b	NOUN
ijassa-426	231	32	=	=	SYM
ijassa-426	231	33	0	0	NUM
ijassa-426	231	34	,	,	PUNCT
ijassa-426	231	35	i.e.	i.e.	X
ijassa-426	231	36	corruption	corruption	NOUN
ijassa-426	231	37	is	be	AUX
ijassa-426	231	38	absent	absent	ADJ
ijassa-426	231	39	.	.	PUNCT
ijassa-426	232	1	2	2	NUM
ijassa-426	232	2	)	)	PUNCT
ijassa-426	232	3	.	.	PUNCT
ijassa-426	233	1	r	r	NOUN
ijassa-426	233	2	+	+	NUM
ijassa-426	233	3	ξ(c)(1	ξ(c)(1	NOUN
ijassa-426	233	4	−	−	NOUN
ijassa-426	233	5	r	r	NOUN
ijassa-426	233	6	)	)	PUNCT
ijassa-426	233	7	<	<	X
ijassa-426	233	8	γη(γ	γη(γ	NUM
ijassa-426	233	9	)	)	PUNCT
ijassa-426	233	10	,	,	PUNCT
ijassa-426	233	11	i.e.	i.e.	X
ijassa-426	233	12	it	it	PRON
ijassa-426	233	13	is	be	AUX
ijassa-426	233	14	more	more	ADV
ijassa-426	233	15	profitable	profitable	ADJ
ijassa-426	233	16	to	to	PART
ijassa-426	233	17	sell	sell	VERB
ijassa-426	233	18	the	the	DET
ijassa-426	233	19	expensive	expensive	ADJ
ijassa-426	233	20	real	real	ADJ
ijassa-426	233	21	estate	estate	NOUN
ijassa-426	233	22	.	.	PUNCT
ijassa-426	234	1	then	then	ADV
ijassa-426	234	2	a	a	DET
ijassa-426	234	3	standard	standard	ADJ
ijassa-426	234	4	hierarchical	hierarchical	ADJ
ijassa-426	234	5	two	two	NUM
ijassa-426	234	6	-	-	PUNCT
ijassa-426	234	7	person	person	NOUN
ijassa-426	234	8	game	game	NOUN
ijassa-426	234	9	arises	arise	VERB
ijassa-426	234	10	in	in	ADP
ijassa-426	234	11	the	the	DET
ijassa-426	234	12	form	form	NOUN
ijassa-426	234	13	gs(s	gs(s	NOUN
ijassa-426	234	14	,	,	PUNCT
ijassa-426	234	15	b	b	X
ijassa-426	234	16	)	)	PUNCT
ijassa-426	234	17	=	=	SYM
ijassa-426	234	18	p2(s−	p2(s−	X
ijassa-426	234	19	s0	s0	NOUN
ijassa-426	234	20	)	)	PUNCT
ijassa-426	235	1	+	+	CCONJ
ijassa-426	235	2	cb[r	cb[r	NOUN
ijassa-426	235	3	+	+	CCONJ
ijassa-426	235	4	ξ(c)(1−	ξ(c)(1−	X
ijassa-426	235	5	r)−	r)−	PROPN
ijassa-426	235	6	γη(γ	γη(γ	PUNCT
ijassa-426	235	7	)	)	PUNCT
ijassa-426	235	8	]	]	PUNCT
ijassa-426	235	9	→	→	SYM
ijassa-426	235	10	max	max	PROPN
ijassa-426	235	11	,	,	PUNCT
ijassa-426	235	12	q	q	PROPN
ijassa-426	235	13	≤	≤	PROPN
ijassa-426	235	14	s	s	PART
ijassa-426	235	15	≤	≤	NUM
ijassa-426	235	16	s0	s0	NOUN
ijassa-426	235	17	;	;	PUNCT
ijassa-426	235	18	ga(s	ga(s	ADJ
ijassa-426	235	19	,	,	PUNCT
ijassa-426	235	20	b	b	X
ijassa-426	235	21	)	)	PUNCT
ijassa-426	235	22	=	=	SYM
ijassa-426	235	23	c(1−	c(1−	NOUN
ijassa-426	235	24	b)[(r	b)[(r	NOUN
ijassa-426	235	25	+	+	SYM
ijassa-426	235	26	ξ(c)(1−	ξ(c)(1−	NUM
ijassa-426	235	27	r)−	r)−	PROPN
ijassa-426	235	28	γη(γ))s+	γη(γ))s+	NOUN
ijassa-426	235	29	γη(γ	γη(γ	PUNCT
ijassa-426	235	30	)	)	PUNCT
ijassa-426	235	31	]	]	PUNCT
ijassa-426	236	1	→	→	SYM
ijassa-426	236	2	max	max	PROPN
ijassa-426	236	3	,	,	PUNCT
ijassa-426	236	4	0	0	NUM
ijassa-426	236	5	≤	≤	NUM
ijassa-426	236	6	b	b	X
ijassa-426	236	7	≤	≤	NUM
ijassa-426	236	8	1	1	NUM
ijassa-426	236	9	.	.	PUNCT
ijassa-426	237	1	advances	advance	NOUN
ijassa-426	237	2	in	in	ADP
ijassa-426	237	3	systems	system	NOUN
ijassa-426	237	4	science	science	NOUN
ijassa-426	237	5	and	and	CCONJ
ijassa-426	237	6	applications	application	NOUN
ijassa-426	237	7	(	(	PUNCT
ijassa-426	237	8	2013	2013	NUM
ijassa-426	237	9	)	)	PUNCT
ijassa-426	237	10	vol.13	vol.13	NOUN
ijassa-426	237	11	no.1	no.1	VERB
ijassa-426	237	12	49	49	NUM
ijassa-426	237	13	application	application	NOUN
ijassa-426	237	14	of	of	ADP
ijassa-426	237	15	germeyer	germeyer	PROPN
ijassa-426	237	16	’s	’s	PART
ijassa-426	237	17	theorem	theorem	NOUN
ijassa-426	237	18	(	(	PUNCT
ijassa-426	237	19	see	see	VERB
ijassa-426	237	20	appendix	appendix	NOUN
ijassa-426	237	21	)	)	PUNCT
ijassa-426	237	22	gives	give	VERB
ijassa-426	237	23	sp	sp	ADP
ijassa-426	237	24	(	(	PUNCT
ijassa-426	237	25	b	b	NOUN
ijassa-426	237	26	)	)	PUNCT
ijassa-426	237	27	≡	≡	PROPN
ijassa-426	237	28	s0	s0	PROPN
ijassa-426	237	29	;	;	PUNCT
ijassa-426	237	30	s	s	X
ijassa-426	237	31	d(b	d(b	X
ijassa-426	237	32	)	)	PUNCT
ijassa-426	238	1	=	=	SYM
ijassa-426	238	2	{	{	PUNCT
ijassa-426	238	3	s0	s0	PROPN
ijassa-426	238	4	,	,	PUNCT
ijassa-426	238	5	p2	p2	PROPN
ijassa-426	238	6	>	>	X
ijassa-426	238	7	bc(r	bc(r	PUNCT
ijassa-426	238	8	+	+	SYM
ijassa-426	238	9	ξ(c)(1−	ξ(c)(1−	X
ijassa-426	238	10	r)−	r)−	PROPN
ijassa-426	238	11	γη(γ	γη(γ	NUM
ijassa-426	238	12	)	)	PUNCT
ijassa-426	238	13	)	)	PUNCT
ijassa-426	238	14	,	,	PUNCT
ijassa-426	238	15	q	q	X
ijassa-426	238	16	,	,	PUNCT
ijassa-426	238	17	otherwise	otherwise	ADV
ijassa-426	238	18	;	;	PUNCT
ijassa-426	238	19	la	la	X
ijassa-426	238	20	=	=	PUNCT
ijassa-426	238	21	c[(r	c[(r	PROPN
ijassa-426	238	22	+	+	CCONJ
ijassa-426	238	23	ξ(c)(1−	ξ(c)(1−	X
ijassa-426	239	1	r)−	r)−	NOUN
ijassa-426	239	2	γη(γ))s0	γη(γ))s0	PUNCT
ijassa-426	240	1	+	+	X
ijassa-426	241	1	γη(γ	γη(γ	NOUN
ijassa-426	241	2	)	)	PUNCT
ijassa-426	242	1	]	]	PUNCT
ijassa-426	242	2	;	;	PUNCT
ijassa-426	242	3	ea	ea	X
ijassa-426	242	4	=	=	SYM
ijassa-426	242	5	{	{	PUNCT
ijassa-426	242	6	b	b	NOUN
ijassa-426	242	7	=	=	SYM
ijassa-426	242	8	0};da	0};da	NUM
ijassa-426	242	9	=	=	SYM
ijassa-426	242	10	{	{	PUNCT
ijassa-426	242	11	(	(	PUNCT
ijassa-426	242	12	s	s	PROPN
ijassa-426	242	13	,	,	PUNCT
ijassa-426	242	14	b	b	NOUN
ijassa-426	242	15	)	)	PUNCT
ijassa-426	242	16	:	:	PUNCT
ijassa-426	242	17	ga(s	ga(s	ADJ
ijassa-426	242	18	,	,	PUNCT
ijassa-426	242	19	b	b	NOUN
ijassa-426	242	20	)	)	PUNCT
ijassa-426	242	21	>	>	X
ijassa-426	242	22	la	la	PROPN
ijassa-426	242	23	}	}	PUNCT
ijassa-426	242	24	=	=	SYM
ijassa-426	242	25	∅	∅	NOUN
ijassa-426	242	26	,	,	PUNCT
ijassa-426	242	27	s.t	s.t	PROPN
ijassa-426	242	28	.	.	PROPN
ijassa-426	242	29	;	;	PUNCT
ijassa-426	242	30	(	(	PUNCT
ijassa-426	242	31	1−	1−	NUM
ijassa-426	242	32	b)[(r+	b)[(r+	PROPN
ijassa-426	242	33	ξ(c)(1−	ξ(c)(1−	NUM
ijassa-426	242	34	r)−	r)−	PROPN
ijassa-426	242	35	γη(γ))s+	γη(γ))s+	NOUN
ijassa-426	242	36	γη(γ	γη(γ	PUNCT
ijassa-426	242	37	)	)	PUNCT
ijassa-426	242	38	]	]	PUNCT
ijassa-426	242	39	≤	≤	NUM
ijassa-426	242	40	(	(	PUNCT
ijassa-426	242	41	r+	r+	X
ijassa-426	242	42	ξ(c)(1−	ξ(c)(1−	X
ijassa-426	242	43	r)−	r)−	NOUN
ijassa-426	242	44	γη(γ))s0	γη(γ))s0	PUNCT
ijassa-426	242	45	+	+	X
ijassa-426	242	46	γη(γ	γη(γ	NOUN
ijassa-426	242	47	)	)	PUNCT
ijassa-426	242	48	;	;	PUNCT
ijassa-426	242	49	when	when	SCONJ
ijassa-426	242	50	0	0	NUM
ijassa-426	242	51	≤	≤	NUM
ijassa-426	242	52	b	b	X
ijassa-426	242	53	≤	≤	NUM
ijassa-426	242	54	1	1	NUM
ijassa-426	242	55	,	,	PUNCT
ijassa-426	242	56	q	q	PROPN
ijassa-426	242	57	≤	≤	PROPN
ijassa-426	242	58	s	s	PART
ijassa-426	242	59	≤	≤	NUM
ijassa-426	242	60	s0	s0	NOUN
ijassa-426	242	61	.	.	PUNCT
ijassa-426	243	1	it	it	PRON
ijassa-426	243	2	is	be	AUX
ijassa-426	243	3	assumed	assume	VERB
ijassa-426	243	4	in	in	ADP
ijassa-426	243	5	this	this	DET
ijassa-426	243	6	case	case	NOUN
ijassa-426	243	7	that	that	SCONJ
ijassa-426	243	8	k1	k1	NOUN
ijassa-426	243	9	=	=	PROPN
ijassa-426	243	10	−∞	−∞	X
ijassa-426	243	11	<	<	X
ijassa-426	243	12	k2	k2	X
ijassa-426	243	13	,	,	PUNCT
ijassa-426	243	14	thus	thus	ADV
ijassa-426	243	15	∼	∼	NOUN
ijassa-426	243	16	s	s	NOUN
ijassa-426	243	17	∗	∗	NOUN
ijassa-426	243	18	(	(	PUNCT
ijassa-426	243	19	b	b	NOUN
ijassa-426	243	20	)	)	PUNCT
ijassa-426	243	21	=	=	NOUN
ijassa-426	243	22	{	{	PUNCT
ijassa-426	243	23	sd(b	sd(b	ADJ
ijassa-426	243	24	)	)	PUNCT
ijassa-426	243	25	,	,	PUNCT
ijassa-426	243	26	b	b	X
ijassa-426	243	27	=	=	SYM
ijassa-426	243	28	0	0	NUM
ijassa-426	243	29	,	,	PUNCT
ijassa-426	243	30	s0	s0	NOUN
ijassa-426	243	31	,	,	PUNCT
ijassa-426	243	32	otherwise	otherwise	ADV
ijassa-426	243	33	,	,	PUNCT
ijassa-426	243	34	=	=	PRON
ijassa-426	243	35	{	{	PUNCT
ijassa-426	243	36	q	q	ADJ
ijassa-426	243	37	,	,	PUNCT
ijassa-426	243	38	p2	p2	X
ijassa-426	243	39	<	<	X
ijassa-426	243	40	bc(r	bc(r	PUNCT
ijassa-426	243	41	+	+	SYM
ijassa-426	243	42	ξ(c)(1−	ξ(c)(1−	X
ijassa-426	243	43	r)−	r)−	PROPN
ijassa-426	243	44	γη(γ	γη(γ	NUM
ijassa-426	243	45	)	)	PUNCT
ijassa-426	243	46	)	)	PUNCT
ijassa-426	244	1	∧	∧	NOUN
ijassa-426	244	2	b	b	NOUN
ijassa-426	244	3	=	=	SYM
ijassa-426	244	4	0	0	NUM
ijassa-426	244	5	,	,	PUNCT
ijassa-426	244	6	s0	s0	NOUN
ijassa-426	244	7	,	,	PUNCT
ijassa-426	244	8	otherwise	otherwise	ADV
ijassa-426	244	9	.	.	PUNCT
ijassa-426	245	1	however	however	ADV
ijassa-426	245	2	the	the	DET
ijassa-426	245	3	conditions	condition	NOUN
ijassa-426	245	4	p2	p2	VERB
ijassa-426	245	5	<	<	X
ijassa-426	245	6	bc(r	bc(r	PUNCT
ijassa-426	246	1	+	+	CCONJ
ijassa-426	246	2	ξ(c)(1	ξ(c)(1	NOUN
ijassa-426	246	3	−	−	NOUN
ijassa-426	247	1	r	r	NOUN
ijassa-426	247	2	)	)	PUNCT
ijassa-426	247	3	−	−	PROPN
ijassa-426	247	4	γη(γ))and	γη(γ))and	PROPN
ijassa-426	247	5	b	b	X
ijassa-426	248	1	=	=	SYM
ijassa-426	248	2	0	0	NUM
ijassa-426	248	3	are	be	AUX
ijassa-426	248	4	disjoint	disjoint	ADJ
ijassa-426	248	5	,	,	PUNCT
ijassa-426	248	6	therefore	therefore	ADV
ijassa-426	248	7	∼	∼	NOUN
ijassa-426	248	8	s	s	NOUN
ijassa-426	248	9	∗	∗	NOUN
ijassa-426	248	10	(	(	PUNCT
ijassa-426	248	11	b	b	NOUN
ijassa-426	248	12	)	)	PUNCT
ijassa-426	248	13	≡	≡	PROPN
ijassa-426	248	14	s0	s0	PROPN
ijassa-426	248	15	.	.	PUNCT
ijassa-426	249	1	so	so	ADV
ijassa-426	249	2	,	,	PUNCT
ijassa-426	249	3	the	the	DET
ijassa-426	249	4	solution	solution	NOUN
ijassa-426	249	5	of	of	ADP
ijassa-426	249	6	the	the	DET
ijassa-426	249	7	agent	agent	NOUN
ijassa-426	249	8	’s	’s	PART
ijassa-426	249	9	optimization	optimization	NOUN
ijassa-426	249	10	problem	problem	NOUN
ijassa-426	249	11	has	have	VERB
ijassa-426	249	12	the	the	DET
ijassa-426	249	13	form	form	NOUN
ijassa-426	249	14	b∗	b∗	ADJ
ijassa-426	249	15	=	=	SYM
ijassa-426	249	16	0	0	PUNCT
ijassa-426	249	17	(	(	PUNCT
ijassa-426	249	18	in	in	ADP
ijassa-426	249	19	fact	fact	NOUN
ijassa-426	249	20	,	,	PUNCT
ijassa-426	249	21	corruption	corruption	NOUN
ijassa-426	249	22	is	be	AUX
ijassa-426	249	23	absent	absent	ADJ
ijassa-426	249	24	)	)	PUNCT
ijassa-426	249	25	,	,	PUNCT
ijassa-426	249	26	and	and	CCONJ
ijassa-426	249	27	u∗	u∗	ADJ
ijassa-426	249	28	=	=	SYM
ijassa-426	249	29	s0	s0	PROPN
ijassa-426	249	30	,	,	PUNCT
ijassa-426	249	31	therefore	therefore	ADV
ijassa-426	249	32	it	it	PRON
ijassa-426	249	33	is	be	AUX
ijassa-426	249	34	not	not	PART
ijassa-426	249	35	required	require	VERB
ijassa-426	249	36	to	to	PART
ijassa-426	249	37	involve	involve	VERB
ijassa-426	249	38	the	the	DET
ijassa-426	249	39	principal	principal	NOUN
ijassa-426	249	40	to	to	PART
ijassa-426	249	41	ensure	ensure	VERB
ijassa-426	249	42	the	the	DET
ijassa-426	249	43	condition	condition	NOUN
ijassa-426	249	44	of	of	ADP
ijassa-426	249	45	sustainable	sustainable	ADJ
ijassa-426	249	46	development	development	NOUN
ijassa-426	249	47	.	.	PUNCT
ijassa-426	250	1	respectively	respectively	ADV
ijassa-426	250	2	,	,	PUNCT
ijassa-426	250	3	in	in	ADP
ijassa-426	250	4	the	the	DET
ijassa-426	250	5	second	second	ADJ
ijassa-426	250	6	stage	stage	NOUN
ijassa-426	250	7	it	it	PRON
ijassa-426	250	8	is	be	AUX
ijassa-426	250	9	sufficient	sufficient	ADJ
ijassa-426	250	10	for	for	SCONJ
ijassa-426	250	11	the	the	DET
ijassa-426	250	12	principal	principal	NOUN
ijassa-426	250	13	to	to	PART
ijassa-426	250	14	solve	solve	VERB
ijassa-426	250	15	the	the	DET
ijassa-426	250	16	control	control	NOUN
ijassa-426	250	17	costs	cost	VERB
ijassa-426	250	18	minimization	minimization	NOUN
ijassa-426	250	19	problem	problem	NOUN
ijassa-426	250	20	q	q	PROPN
ijassa-426	250	21	s0−q	s0−q	PROPN
ijassa-426	250	22	→	→	SYM
ijassa-426	250	23	min	min	PROPN
ijassa-426	250	24	,	,	PUNCT
ijassa-426	250	25	0	0	NUM
ijassa-426	250	26	≤	≤	NUM
ijassa-426	250	27	q	q	PROPN
ijassa-426	250	28	≤	≤	NUM
ijassa-426	250	29	s0,the	s0,the	DET
ijassa-426	250	30	trivial	trivial	ADJ
ijassa-426	250	31	solution	solution	NOUN
ijassa-426	250	32	of	of	ADP
ijassa-426	250	33	which	which	PRON
ijassa-426	250	34	has	have	VERB
ijassa-426	250	35	the	the	DET
ijassa-426	250	36	form	form	NOUN
ijassa-426	250	37	q∗	q∗	NOUN
ijassa-426	250	38	=	=	SYM
ijassa-426	250	39	0	0	X
ijassa-426	250	40	.	.	PUNCT
ijassa-426	251	1	at	at	ADP
ijassa-426	251	2	last	last	ADV
ijassa-426	251	3	,	,	PUNCT
ijassa-426	251	4	consider	consider	VERB
ijassa-426	251	5	a	a	DET
ijassa-426	251	6	model	model	NOUN
ijassa-426	251	7	of	of	ADP
ijassa-426	251	8	the	the	DET
ijassa-426	251	9	economic	economic	ADJ
ijassa-426	251	10	corruption	corruption	NOUN
ijassa-426	251	11	in	in	ADP
ijassa-426	251	12	the	the	DET
ijassa-426	251	13	three	three	NUM
ijassa-426	251	14	-	-	PUNCT
ijassa-426	251	15	level	level	NOUN
ijassa-426	251	16	system	system	NOUN
ijassa-426	251	17	of	of	ADP
ijassa-426	251	18	real	real	ADJ
ijassa-426	251	19	estate	estate	NOUN
ijassa-426	251	20	development	development	NOUN
ijassa-426	251	21	gp	gp	NOUN
ijassa-426	251	22	=	=	PUNCT
ijassa-426	251	23	h(c	h(c	PROPN
ijassa-426	251	24	)	)	PUNCT
ijassa-426	252	1	+	+	NOUN
ijassa-426	252	2	m(r0	m(r0	NOUN
ijassa-426	252	3	−	−	NUM
ijassa-426	252	4	r	r	NOUN
ijassa-426	252	5	)	)	PUNCT
ijassa-426	252	6	→	→	SYM
ijassa-426	252	7	min	min	PROPN
ijassa-426	252	8	,	,	PUNCT
ijassa-426	252	9	0	0	NUM
ijassa-426	252	10	≤	≤	NUM
ijassa-426	252	11	c	c	NOUN
ijassa-426	252	12	≤	≤	NUM
ijassa-426	252	13	1	1	NUM
ijassa-426	252	14	;	;	PUNCT
ijassa-426	252	15	gs	gs	PROPN
ijassa-426	252	16	=	=	SYM
ijassa-426	252	17	f(1)(b+	f(1)(b+	PROPN
ijassa-426	252	18	cr	cr	PROPN
ijassa-426	252	19	)	)	PUNCT
ijassa-426	252	20	→	→	SYM
ijassa-426	252	21	max	max	PROPN
ijassa-426	252	22	,	,	PUNCT
ijassa-426	252	23	0	0	NUM
ijassa-426	252	24	≤	≤	NUM
ijassa-426	252	25	r	r	NOUN
ijassa-426	252	26	≤	≤	NOUN
ijassa-426	252	27	r0	r0	NOUN
ijassa-426	252	28	;	;	PUNCT
ijassa-426	252	29	ga	ga	PROPN
ijassa-426	252	30	=	=	PUNCT
ijassa-426	252	31	f(1)(1−	f(1)(1−	PROPN
ijassa-426	252	32	b−	b−	PROPN
ijassa-426	252	33	r	r	NOUN
ijassa-426	252	34	)	)	PUNCT
ijassa-426	252	35	→	→	SYM
ijassa-426	252	36	max	max	PROPN
ijassa-426	252	37	,	,	PUNCT
ijassa-426	252	38	0	0	NUM
ijassa-426	252	39	≤	≤	NUM
ijassa-426	252	40	b	b	X
ijassa-426	252	41	≤	≤	NUM
ijassa-426	252	42	1	1	NUM
ijassa-426	252	43	;	;	PUNCT
ijassa-426	252	44	where	where	SCONJ
ijassa-426	252	45	h(c	h(c	PROPN
ijassa-426	252	46	)	)	PUNCT
ijassa-426	252	47	–	–	PUNCT
ijassa-426	252	48	an	an	DET
ijassa-426	252	49	increasing	increase	VERB
ijassa-426	252	50	convex	convex	ADJ
ijassa-426	252	51	principal	principal	NOUN
ijassa-426	252	52	’s	’s	PART
ijassa-426	252	53	cost	cost	NOUN
ijassa-426	252	54	function	function	NOUN
ijassa-426	252	55	;	;	PUNCT
ijassa-426	252	56	m	m	X
ijassa-426	252	57	–	–	PUNCT
ijassa-426	252	58	a	a	DET
ijassa-426	252	59	penalty	penalty	NOUN
ijassa-426	252	60	factor	factor	NOUN
ijassa-426	252	61	(	(	PUNCT
ijassa-426	252	62	the	the	DET
ijassa-426	252	63	penalty	penalty	NOUN
ijassa-426	252	64	is	be	AUX
ijassa-426	252	65	charged	charge	VERB
ijassa-426	252	66	if	if	SCONJ
ijassa-426	252	67	the	the	DET
ijassa-426	252	68	condition	condition	NOUN
ijassa-426	252	69	of	of	ADP
ijassa-426	252	70	sustainable	sustainable	ADJ
ijassa-426	252	71	development	development	NOUN
ijassa-426	252	72	r	r	NOUN
ijassa-426	252	73	=	=	NOUN
ijassa-426	252	74	r0	r0	NOUN
ijassa-426	252	75	is	be	AUX
ijassa-426	252	76	violated	violate	VERB
ijassa-426	252	77	)	)	PUNCT
ijassa-426	252	78	.	.	PUNCT
ijassa-426	253	1	the	the	DET
ijassa-426	253	2	supervisor	supervisor	NOUN
ijassa-426	253	3	’s	’s	PART
ijassa-426	253	4	optimal	optimal	ADJ
ijassa-426	253	5	guaranteeing	guaranteeing	NOUN
ijassa-426	253	6	strategy	strategy	NOUN
ijassa-426	253	7	has	have	VERB
ijassa-426	253	8	the	the	DET
ijassa-426	253	9	form	form	NOUN
ijassa-426	253	10	∼	∼	NOUN
ijassa-426	253	11	r	r	NOUN
ijassa-426	253	12	∗	∗	NOUN
ijassa-426	253	13	(	(	PUNCT
ijassa-426	253	14	b	b	NOUN
ijassa-426	253	15	)	)	PUNCT
ijassa-426	253	16	=	=	NOUN
ijassa-426	253	17	{	{	PUNCT
ijassa-426	253	18	0	0	NUM
ijassa-426	253	19	,	,	PUNCT
ijassa-426	253	20	b	b	X
ijassa-426	253	21	=	=	SYM
ijassa-426	253	22	r0	r0	NOUN
ijassa-426	253	23	−	−	PROPN
ijassa-426	254	1	ε	ε	PROPN
ijassa-426	254	2	∧	∧	PROPN
ijassa-426	254	3	c	c	PROPN
ijassa-426	254	4	<	<	X
ijassa-426	254	5	1−	1−	NUM
ijassa-426	254	6	ε	ε	PROPN
ijassa-426	254	7	r0	r0	NOUN
ijassa-426	254	8	,	,	PUNCT
ijassa-426	254	9	r0	r0	NOUN
ijassa-426	254	10	,	,	PUNCT
ijassa-426	254	11	otherwise	otherwise	ADV
ijassa-426	254	12	,	,	PUNCT
ijassa-426	254	13	if	if	SCONJ
ijassa-426	254	14	b	b	NUM
ijassa-426	254	15	̸=	̸=	PROPN
ijassa-426	254	16	r0	r0	NOUN
ijassa-426	254	17	−	−	PROPN
ijassa-426	254	18	ε	ε	PROPN
ijassa-426	254	19	then	then	ADV
ijassa-426	254	20	r	r	PROPN
ijassa-426	254	21	≡	≡	PROPN
ijassa-426	254	22	r0	r0	NOUN
ijassa-426	254	23	and	and	CCONJ
ijassa-426	254	24	the	the	DET
ijassa-426	254	25	evident	evident	ADJ
ijassa-426	254	26	solution	solution	NOUN
ijassa-426	254	27	of	of	ADP
ijassa-426	254	28	the	the	DET
ijassa-426	254	29	principal	principal	NOUN
ijassa-426	254	30	’s	’s	PART
ijassa-426	254	31	optimization	optimization	NOUN
ijassa-426	254	32	problem	problem	NOUN
ijassa-426	254	33	is	be	AUX
ijassa-426	254	34	c	c	NOUN
ijassa-426	254	35	=	=	SYM
ijassa-426	254	36	0	0	PROPN
ijassa-426	254	37	.	.	PUNCT
ijassa-426	255	1	if	if	SCONJ
ijassa-426	255	2	b	b	NOUN
ijassa-426	255	3	=	=	SYM
ijassa-426	255	4	r0	r0	NOUN
ijassa-426	255	5	−	−	PROPN
ijassa-426	255	6	ε	ε	PROPN
ijassa-426	255	7	then	then	ADV
ijassa-426	255	8	the	the	DET
ijassa-426	255	9	principal	principal	NOUN
ijassa-426	255	10	can	can	AUX
ijassa-426	255	11	ensure	ensure	VERB
ijassa-426	255	12	the	the	DET
ijassa-426	255	13	condition	condition	NOUN
ijassa-426	255	14	of	of	ADP
ijassa-426	255	15	50	50	NUM
ijassa-426	255	16	andrey	andrey	NOUN
ijassa-426	255	17	v.	v.	ADP
ijassa-426	255	18	antonenko	antonenko	PROPN
ijassa-426	255	19	:	:	PUNCT
ijassa-426	255	20	static	static	ADJ
ijassa-426	255	21	models	model	NOUN
ijassa-426	255	22	of	of	ADP
ijassa-426	255	23	corruption	corruption	NOUN
ijassa-426	255	24	in	in	ADP
ijassa-426	255	25	hierarchical	hierarchical	ADJ
ijassa-426	255	26	systems	system	NOUN
ijassa-426	255	27	sustainable	sustainable	ADJ
ijassa-426	255	28	development	development	NOUN
ijassa-426	255	29	only	only	ADV
ijassa-426	255	30	by	by	ADP
ijassa-426	255	31	choosing	choose	VERB
ijassa-426	255	32	c	c	NOUN
ijassa-426	256	1	=	=	SYM
ijassa-426	256	2	1	1	X
ijassa-426	256	3	.	.	PUNCT
ijassa-426	257	1	therefore	therefore	ADV
ijassa-426	257	2	the	the	DET
ijassa-426	257	3	solution	solution	NOUN
ijassa-426	257	4	of	of	ADP
ijassa-426	257	5	his	his	PRON
ijassa-426	257	6	optimization	optimization	NOUN
ijassa-426	257	7	problem	problem	NOUN
ijassa-426	257	8	has	have	VERB
ijassa-426	257	9	the	the	DET
ijassa-426	257	10	form	form	NOUN
ijassa-426	257	11	c∗	c∗	NOUN
ijassa-426	257	12	=	=	PUNCT
ijassa-426	257	13	{	{	PUNCT
ijassa-426	257	14	1	1	NUM
ijassa-426	257	15	,	,	PUNCT
ijassa-426	257	16	h(1	h(1	PROPN
ijassa-426	257	17	)	)	PUNCT
ijassa-426	257	18	<	<	X
ijassa-426	257	19	mr0	mr0	PROPN
ijassa-426	257	20	,	,	PUNCT
ijassa-426	257	21	0	0	NUM
ijassa-426	257	22	,	,	PUNCT
ijassa-426	257	23	otherwise	otherwise	ADV
ijassa-426	257	24	,	,	PUNCT
ijassa-426	257	25	i.e.	i.e.	X
ijassa-426	257	26	the	the	DET
ijassa-426	257	27	principal	principal	NOUN
ijassa-426	257	28	is	be	AUX
ijassa-426	257	29	obliged	oblige	VERB
ijassa-426	257	30	to	to	PART
ijassa-426	257	31	compare	compare	VERB
ijassa-426	257	32	the	the	DET
ijassa-426	257	33	penalty	penalty	NOUN
ijassa-426	257	34	for	for	ADP
ijassa-426	257	35	the	the	DET
ijassa-426	257	36	violation	violation	NOUN
ijassa-426	257	37	of	of	ADP
ijassa-426	257	38	sustainable	sustainable	ADJ
ijassa-426	257	39	development	development	NOUN
ijassa-426	257	40	condition	condition	NOUN
ijassa-426	257	41	and	and	CCONJ
ijassa-426	257	42	the	the	DET
ijassa-426	257	43	costs	cost	NOUN
ijassa-426	257	44	required	require	VERB
ijassa-426	257	45	for	for	ADP
ijassa-426	257	46	its	its	PRON
ijassa-426	257	47	control	control	NOUN
ijassa-426	257	48	.	.	PUNCT
ijassa-426	258	1	5	5	NUM
ijassa-426	258	2	conclusion	conclusion	NOUN
ijassa-426	258	3	the	the	DET
ijassa-426	258	4	principles	principle	NOUN
ijassa-426	258	5	of	of	ADP
ijassa-426	258	6	modeling	modeling	NOUN
ijassa-426	258	7	and	and	CCONJ
ijassa-426	258	8	control	control	NOUN
ijassa-426	258	9	of	of	ADP
ijassa-426	258	10	corruption	corruption	NOUN
ijassa-426	258	11	in	in	ADP
ijassa-426	258	12	the	the	DET
ijassa-426	258	13	hierarchical	hierarchical	ADJ
ijassa-426	258	14	systems	system	NOUN
ijassa-426	258	15	are	be	AUX
ijassa-426	258	16	formulated	formulate	VERB
ijassa-426	258	17	.	.	PUNCT
ijassa-426	259	1	particularly	particularly	ADV
ijassa-426	259	2	,	,	PUNCT
ijassa-426	259	3	a	a	DET
ijassa-426	259	4	problem	problem	NOUN
ijassa-426	259	5	of	of	ADP
ijassa-426	259	6	corruption	corruption	NOUN
ijassa-426	259	7	control	control	NOUN
ijassa-426	259	8	is	be	AUX
ijassa-426	259	9	set	set	VERB
ijassa-426	259	10	as	as	ADP
ijassa-426	259	11	the	the	DET
ijassa-426	259	12	problem	problem	NOUN
ijassa-426	259	13	of	of	ADP
ijassa-426	259	14	realization	realization	NOUN
ijassa-426	259	15	of	of	ADP
ijassa-426	259	16	certain	certain	ADJ
ijassa-426	259	17	requirements	requirement	NOUN
ijassa-426	259	18	to	to	ADP
ijassa-426	259	19	the	the	DET
ijassa-426	259	20	state	state	NOUN
ijassa-426	259	21	of	of	ADP
ijassa-426	259	22	controlled	control	VERB
ijassa-426	259	23	system	system	NOUN
ijassa-426	259	24	(	(	PUNCT
ijassa-426	259	25	conditions	condition	NOUN
ijassa-426	259	26	of	of	ADP
ijassa-426	259	27	sustainable	sustainable	ADJ
ijassa-426	259	28	development	development	NOUN
ijassa-426	259	29	)	)	PUNCT
ijassa-426	259	30	.	.	PUNCT
ijassa-426	260	1	if	if	SCONJ
ijassa-426	260	2	the	the	DET
ijassa-426	260	3	conditions	condition	NOUN
ijassa-426	260	4	are	be	AUX
ijassa-426	260	5	satisfied	satisfied	ADJ
ijassa-426	260	6	then	then	ADV
ijassa-426	260	7	the	the	DET
ijassa-426	260	8	corruption	corruption	NOUN
ijassa-426	260	9	control	control	NOUN
ijassa-426	260	10	problem	problem	NOUN
ijassa-426	260	11	is	be	AUX
ijassa-426	260	12	supposes	suppose	NOUN
ijassa-426	260	13	to	to	PART
ijassa-426	260	14	be	be	AUX
ijassa-426	260	15	solved	solve	VERB
ijassa-426	260	16	even	even	ADV
ijassa-426	260	17	if	if	SCONJ
ijassa-426	260	18	corruption	corruption	NOUN
ijassa-426	260	19	in	in	ADP
ijassa-426	260	20	the	the	DET
ijassa-426	260	21	system	system	NOUN
ijassa-426	260	22	exists	exist	VERB
ijassa-426	260	23	.	.	PUNCT
ijassa-426	261	1	this	this	DET
ijassa-426	261	2	setting	setting	NOUN
ijassa-426	261	3	differs	differ	VERB
ijassa-426	261	4	from	from	ADP
ijassa-426	261	5	the	the	DET
ijassa-426	261	6	proposed	propose	VERB
ijassa-426	261	7	by	by	ADP
ijassa-426	261	8	g.becker	g.becker	NOUN
ijassa-426	261	9	especially	especially	ADV
ijassa-426	261	10	economic	economic	ADJ
ijassa-426	261	11	approach	approach	NOUN
ijassa-426	261	12	based	base	VERB
ijassa-426	261	13	on	on	ADP
ijassa-426	261	14	commensurability	commensurability	NOUN
ijassa-426	261	15	of	of	ADP
ijassa-426	261	16	the	the	DET
ijassa-426	261	17	damage	damage	NOUN
ijassa-426	261	18	caused	cause	VERB
ijassa-426	261	19	by	by	ADP
ijassa-426	261	20	corruption	corruption	NOUN
ijassa-426	261	21	and	and	CCONJ
ijassa-426	261	22	its	its	PRON
ijassa-426	261	23	control	control	NOUN
ijassa-426	261	24	costs	cost	NOUN
ijassa-426	261	25	[	[	X
ijassa-426	261	26	3	3	NUM
ijassa-426	261	27	]	]	PUNCT
ijassa-426	261	28	.	.	PUNCT
ijassa-426	262	1	another	another	DET
ijassa-426	262	2	important	important	ADJ
ijassa-426	262	3	methodical	methodical	ADJ
ijassa-426	262	4	principle	principle	NOUN
ijassa-426	262	5	is	be	AUX
ijassa-426	262	6	building	build	VERB
ijassa-426	262	7	of	of	ADP
ijassa-426	262	8	“	"	PUNCT
ijassa-426	262	9	genetic	genetic	ADJ
ijassa-426	262	10	”	"	PUNCT
ijassa-426	262	11	series	series	NOUN
ijassa-426	262	12	of	of	ADP
ijassa-426	262	13	sequentially	sequentially	ADV
ijassa-426	262	14	complicated	complicate	VERB
ijassa-426	262	15	models	model	NOUN
ijassa-426	262	16	that	that	PRON
ijassa-426	262	17	more	more	ADJ
ijassa-426	262	18	and	and	CCONJ
ijassa-426	262	19	more	more	ADV
ijassa-426	262	20	precisely	precisely	ADV
ijassa-426	262	21	describe	describe	VERB
ijassa-426	262	22	the	the	DET
ijassa-426	262	23	real	real	ADJ
ijassa-426	262	24	phenomena	phenomenon	NOUN
ijassa-426	262	25	of	of	ADP
ijassa-426	262	26	corruption	corruption	NOUN
ijassa-426	262	27	in	in	ADP
ijassa-426	262	28	hierarchical	hierarchical	ADJ
ijassa-426	262	29	control	control	NOUN
ijassa-426	262	30	systems	system	NOUN
ijassa-426	262	31	.	.	PUNCT
ijassa-426	263	1	this	this	DET
ijassa-426	263	2	principle	principle	NOUN
ijassa-426	263	3	is	be	AUX
ijassa-426	263	4	realized	realize	VERB
ijassa-426	263	5	in	in	ADP
ijassa-426	263	6	the	the	DET
ijassa-426	263	7	paper	paper	NOUN
ijassa-426	263	8	by	by	ADP
ijassa-426	263	9	building	build	VERB
ijassa-426	263	10	of	of	ADP
ijassa-426	263	11	series	series	NOUN
ijassa-426	263	12	of	of	ADP
ijassa-426	263	13	the	the	DET
ijassa-426	263	14	static	static	ADJ
ijassa-426	263	15	theoretical	theoretical	ADJ
ijassa-426	263	16	models	model	NOUN
ijassa-426	263	17	of	of	ADP
ijassa-426	263	18	administrative	administrative	ADJ
ijassa-426	263	19	and	and	CCONJ
ijassa-426	263	20	economic	economic	ADJ
ijassa-426	263	21	corruption	corruption	NOUN
ijassa-426	263	22	as	as	ADV
ijassa-426	263	23	well	well	ADV
ijassa-426	263	24	as	as	ADP
ijassa-426	263	25	models	model	NOUN
ijassa-426	263	26	of	of	ADP
ijassa-426	263	27	corruption	corruption	NOUN
ijassa-426	263	28	in	in	ADP
ijassa-426	263	29	real	real	ADJ
ijassa-426	263	30	estate	estate	NOUN
ijassa-426	263	31	development	development	NOUN
ijassa-426	263	32	.	.	PUNCT
ijassa-426	264	1	the	the	DET
ijassa-426	264	2	dependence	dependence	NOUN
ijassa-426	264	3	of	of	ADP
ijassa-426	264	4	corrupted	corrupted	ADJ
ijassa-426	264	5	behavior	behavior	NOUN
ijassa-426	264	6	on	on	ADP
ijassa-426	264	7	model	model	NOUN
ijassa-426	264	8	parameters	parameter	NOUN
ijassa-426	264	9	is	be	AUX
ijassa-426	264	10	investigated	investigate	VERB
ijassa-426	264	11	,	,	PUNCT
ijassa-426	264	12	and	and	CCONJ
ijassa-426	264	13	the	the	DET
ijassa-426	264	14	analytical	analytical	ADJ
ijassa-426	264	15	conditions	condition	NOUN
ijassa-426	264	16	in	in	ADP
ijassa-426	264	17	which	which	PRON
ijassa-426	264	18	corruption	corruption	NOUN
ijassa-426	264	19	is	be	AUX
ijassa-426	264	20	not	not	PART
ijassa-426	264	21	profitable	profitable	ADJ
ijassa-426	264	22	for	for	ADP
ijassa-426	264	23	the	the	DET
ijassa-426	264	24	agent	agent	NOUN
ijassa-426	264	25	or	or	CCONJ
ijassa-426	264	26	can	can	AUX
ijassa-426	264	27	be	be	AUX
ijassa-426	264	28	controlled	control	VERB
ijassa-426	264	29	by	by	ADP
ijassa-426	264	30	the	the	DET
ijassa-426	264	31	principal	principal	NOUN
ijassa-426	264	32	for	for	ADP
ijassa-426	264	33	ensuring	ensure	VERB
ijassa-426	264	34	sustainable	sustainable	ADJ
ijassa-426	264	35	development	development	NOUN
ijassa-426	264	36	of	of	ADP
ijassa-426	264	37	the	the	DET
ijassa-426	264	38	system	system	NOUN
ijassa-426	264	39	are	be	AUX
ijassa-426	264	40	received	receive	VERB
ijassa-426	264	41	.	.	PUNCT
ijassa-426	265	1	appendix	appendix	PROPN
ijassa-426	265	2	germeyer	germeyer	PROPN
ijassa-426	265	3	’s	’s	PART
ijassa-426	265	4	theorem	theorem	NOUN
ijassa-426	265	5	[	[	X
ijassa-426	265	6	22	22	NUM
ijassa-426	265	7	]	]	PUNCT
ijassa-426	265	8	.	.	PUNCT
ijassa-426	266	1	suppose	suppose	VERB
ijassa-426	266	2	that	that	SCONJ
ijassa-426	266	3	functionsm1(x1	functionsm1(x1	ADJ
ijassa-426	266	4	,	,	PUNCT
ijassa-426	266	5	x2),m2(x1	x2),m2(x1	PROPN
ijassa-426	266	6	,	,	PUNCT
ijassa-426	266	7	x2	x2	NOUN
ijassa-426	266	8	)	)	PUNCT
ijassa-426	266	9	are	be	AUX
ijassa-426	266	10	continuous	continuous	ADJ
ijassa-426	266	11	on	on	ADP
ijassa-426	266	12	the	the	DET
ijassa-426	266	13	compacts	compact	NOUN
ijassa-426	266	14	x1	x1	PROPN
ijassa-426	266	15	,	,	PUNCT
ijassa-426	266	16	x2	x2	PROPN
ijassa-426	266	17	.	.	PUNCT
ijassa-426	266	18	introduce	introduce	VERB
ijassa-426	266	19	the	the	DET
ijassa-426	266	20	following	follow	VERB
ijassa-426	266	21	functions	function	NOUN
ijassa-426	266	22	:	:	PUNCT
ijassa-426	266	23	a	a	DET
ijassa-426	266	24	punishment	punishment	NOUN
ijassa-426	266	25	strategy	strategy	NOUN
ijassa-426	267	1	xp1	xp1	PROPN
ijassa-426	268	1	(	(	PUNCT
ijassa-426	268	2	x2	x2	PROPN
ijassa-426	268	3	)	)	PUNCT
ijassa-426	268	4	by	by	ADP
ijassa-426	268	5	the	the	DET
ijassa-426	268	6	rule	rule	NOUN
ijassa-426	268	7	m2(x	m2(x	PROPN
ijassa-426	268	8	p	p	NOUN
ijassa-426	268	9	1	1	NUM
ijassa-426	268	10	,	,	PUNCT
ijassa-426	268	11	x2	x2	PROPN
ijassa-426	268	12	)	)	PUNCT
ijassa-426	268	13	=	=	SYM
ijassa-426	268	14	min	min	NOUN
ijassa-426	268	15	x1∈x1	x1∈x1	PROPN
ijassa-426	269	1	m2(x1	m2(x1	ADJ
ijassa-426	269	2	,	,	PUNCT
ijassa-426	269	3	x2	x2	PROPN
ijassa-426	269	4	)	)	PUNCT
ijassa-426	269	5	,	,	PUNCT
ijassa-426	269	6	and	and	CCONJ
ijassa-426	269	7	the	the	DET
ijassa-426	269	8	dominance	dominance	NOUN
ijassa-426	269	9	strategy	strategy	NOUN
ijassa-426	269	10	xd1	xd1	PROPN
ijassa-426	269	11	(	(	PUNCT
ijassa-426	269	12	x2	x2	PROPN
ijassa-426	269	13	)	)	PUNCT
ijassa-426	269	14	that	that	PRON
ijassa-426	269	15	satisfies	satisfy	VERB
ijassa-426	269	16	the	the	DET
ijassa-426	269	17	condition	condition	NOUN
ijassa-426	269	18	m1(x	m1(x	NOUN
ijassa-426	269	19	d	d	NOUN
ijassa-426	269	20	1	1	NUM
ijassa-426	269	21	,	,	PUNCT
ijassa-426	269	22	x2	x2	PROPN
ijassa-426	269	23	)	)	PUNCT
ijassa-426	269	24	=	=	SYM
ijassa-426	269	25	max	max	PROPN
ijassa-426	269	26	x1∈x1	x1∈x1	PROPN
ijassa-426	269	27	m(x1	m(x1	PROPN
ijassa-426	269	28	,	,	PUNCT
ijassa-426	269	29	x2	x2	PROPN
ijassa-426	269	30	)	)	PUNCT
ijassa-426	269	31	.	.	PUNCT
ijassa-426	270	1	besides	besides	SCONJ
ijassa-426	270	2	,	,	PUNCT
ijassa-426	270	3	the	the	DET
ijassa-426	270	4	following	follow	VERB
ijassa-426	270	5	quantities	quantity	NOUN
ijassa-426	270	6	and	and	CCONJ
ijassa-426	270	7	sets	set	NOUN
ijassa-426	270	8	are	be	AUX
ijassa-426	270	9	introduced	introduce	VERB
ijassa-426	270	10	:	:	PUNCT
ijassa-426	270	11	l2	l2	NOUN
ijassa-426	270	12	=	=	SYM
ijassa-426	270	13	max	max	PROPN
ijassa-426	271	1	x2∈x2	x2∈x2	PROPN
ijassa-426	272	1	m2(x	m2(x	PROPN
ijassa-426	273	1	p	p	X
ijassa-426	273	2	1	1	NUM
ijassa-426	273	3	,	,	PUNCT
ijassa-426	273	4	x2);e2	x2);e2	PROPN
ijassa-426	273	5	=	=	PRON
ijassa-426	273	6	{	{	PUNCT
ijassa-426	273	7	x2	x2	NOUN
ijassa-426	273	8	∈	∈	PROPN
ijassa-426	273	9	x2	x2	NOUN
ijassa-426	273	10	:	:	PUNCT
ijassa-426	274	1	m2(x	m2(x	PROPN
ijassa-426	274	2	p	p	NOUN
ijassa-426	274	3	1	1	NUM
ijassa-426	274	4	,	,	PUNCT
ijassa-426	274	5	x2	x2	PROPN
ijassa-426	274	6	)	)	PUNCT
ijassa-426	274	7	=	=	SYM
ijassa-426	274	8	l2	l2	NOUN
ijassa-426	274	9	}	}	PUNCT
ijassa-426	274	10	;	;	PUNCT
ijassa-426	274	11	d2	d2	PROPN
ijassa-426	274	12	=	=	SYM
ijassa-426	274	13	{	{	PUNCT
ijassa-426	274	14	(	(	PUNCT
ijassa-426	274	15	x1	x1	PROPN
ijassa-426	274	16	,	,	PUNCT
ijassa-426	274	17	x2	x2	PROPN
ijassa-426	274	18	)	)	PUNCT
ijassa-426	274	19	∈	∈	PROPN
ijassa-426	274	20	x1	x1	NOUN
ijassa-426	275	1	×x2	×x2	NOUN
ijassa-426	275	2	:	:	PUNCT
ijassa-426	275	3	m2(x1	m2(x1	ADJ
ijassa-426	275	4	,	,	PUNCT
ijassa-426	275	5	x2	x2	PROPN
ijassa-426	275	6	)	)	PUNCT
ijassa-426	275	7	>	>	X
ijassa-426	275	8	l2	l2	PROPN
ijassa-426	275	9	}	}	PUNCT
ijassa-426	275	10	;	;	PUNCT
ijassa-426	275	11	k1	k1	NOUN
ijassa-426	275	12	=	=	SYM
ijassa-426	275	13	sup	sup	NOUN
ijassa-426	275	14	(	(	PUNCT
ijassa-426	275	15	x1,x2)∈d2	x1,x2)∈d2	X
ijassa-426	276	1	m1(x1	m1(x1	PROPN
ijassa-426	276	2	,	,	PUNCT
ijassa-426	276	3	x2	x2	PROPN
ijassa-426	276	4	)	)	PUNCT
ijassa-426	276	5	≤	≤	NUM
ijassa-426	276	6	m1(x	m1(x	PUNCT
ijassa-426	276	7	ε	ε	PROPN
ijassa-426	276	8	1	1	NUM
ijassa-426	276	9	,	,	PUNCT
ijassa-426	276	10	x	x	X
ijassa-426	276	11	ε	ε	PROPN
ijassa-426	276	12	2	2	NUM
ijassa-426	276	13	)	)	PUNCT
ijassa-426	276	14	+	+	CCONJ
ijassa-426	276	15	ε	ε	PROPN
ijassa-426	276	16	(	(	PUNCT
ijassa-426	276	17	d2	d2	NOUN
ijassa-426	276	18	=	=	SYM
ijassa-426	276	19	∅	∅	NOUN
ijassa-426	276	20	⇒	⇒	NOUN
ijassa-426	276	21	k1	k1	PROPN
ijassa-426	276	22	=	=	SYM
ijassa-426	276	23	−∞	−∞	PROPN
ijassa-426	276	24	)	)	PUNCT
ijassa-426	276	25	;	;	PUNCT
ijassa-426	276	26	advances	advance	NOUN
ijassa-426	276	27	in	in	ADP
ijassa-426	276	28	systems	system	NOUN
ijassa-426	276	29	science	science	NOUN
ijassa-426	276	30	and	and	CCONJ
ijassa-426	276	31	applications	application	NOUN
ijassa-426	276	32	(	(	PUNCT
ijassa-426	276	33	2013	2013	NUM
ijassa-426	276	34	)	)	PUNCT
ijassa-426	276	35	vol.13	vol.13	NOUN
ijassa-426	276	36	no.1	no.1	VERB
ijassa-426	277	1	51	51	NUM
ijassa-426	277	2	k2	k2	NOUN
ijassa-426	277	3	=	=	SYM
ijassa-426	277	4	min	min	PROPN
ijassa-426	278	1	x2∈e2	x2∈e2	PROPN
ijassa-426	278	2	max	max	PROPN
ijassa-426	278	3	x1∈x1	x1∈x1	PROPN
ijassa-426	279	1	m1(x1	m1(x1	NOUN
ijassa-426	279	2	,	,	PUNCT
ijassa-426	279	3	x2	x2	PROPN
ijassa-426	279	4	)	)	PUNCT
ijassa-426	279	5	.	.	PUNCT
ijassa-426	280	1	then	then	ADV
ijassa-426	280	2	the	the	DET
ijassa-426	280	3	guaranteed	guarantee	VERB
ijassa-426	280	4	payoff	payoff	NOUN
ijassa-426	280	5	of	of	ADP
ijassa-426	280	6	the	the	DET
ijassa-426	280	7	player	player	NOUN
ijassa-426	280	8	1	1	NUM
ijassa-426	280	9	(	(	PUNCT
ijassa-426	280	10	leader	leader	NOUN
ijassa-426	280	11	)	)	PUNCT
ijassa-426	280	12	in	in	ADP
ijassa-426	280	13	the	the	DET
ijassa-426	280	14	game	game	NOUN
ijassa-426	280	15	γ2	γ2	NOUN
ijassa-426	280	16	is	be	AUX
ijassa-426	280	17	equal	equal	ADJ
ijassa-426	280	18	to	to	ADP
ijassa-426	280	19	ω1	ω1	PROPN
ijassa-426	280	20	=	=	PUNCT
ijassa-426	280	21	max(k1,k2	max(k1,k2	PROPN
ijassa-426	280	22	)	)	PUNCT
ijassa-426	280	23	,	,	PUNCT
ijassa-426	280	24	and	and	CCONJ
ijassa-426	280	25	the	the	DET
ijassa-426	280	26	respective	respective	ADJ
ijassa-426	280	27	ε	ε	PROPN
ijassa-426	280	28	-	-	ADJ
ijassa-426	280	29	optimal	optimal	ADJ
ijassa-426	280	30	strategy	strategy	NOUN
ijassa-426	280	31	has	have	VERB
ijassa-426	280	32	the	the	DET
ijassa-426	280	33	form	form	NOUN
ijassa-426	280	34	x̃ε1(x2	x̃ε1(x2	PUNCT
ijassa-426	280	35	)	)	PUNCT
ijassa-426	281	1	=	=	PRON
ijassa-426	281	2			PUNCT
ijassa-426	281	3	xε1	xε1	PROPN
ijassa-426	281	4	,	,	PUNCT
ijassa-426	281	5	x2	x2	PROPN
ijassa-426	281	6	=	=	SYM
ijassa-426	281	7	xε2	xε2	PROPN
ijassa-426	281	8	,	,	PUNCT
ijassa-426	281	9	k1	k1	PROPN
ijassa-426	281	10	>	>	X
ijassa-426	281	11	k2	k2	PROPN
ijassa-426	281	12	,	,	PUNCT
ijassa-426	281	13	xd1	xd1	PROPN
ijassa-426	281	14	(	(	PUNCT
ijassa-426	281	15	x2	x2	PROPN
ijassa-426	281	16	)	)	PUNCT
ijassa-426	281	17	,	,	PUNCT
ijassa-426	281	18	x2	x2	PROPN
ijassa-426	281	19	∈	∈	PROPN
ijassa-426	281	20	d2	d2	PROPN
ijassa-426	281	21	,	,	PUNCT
ijassa-426	281	22	k1	k1	ADJ
ijassa-426	281	23	≤	≤	ADJ
ijassa-426	281	24	k2	k2	NOUN
ijassa-426	281	25	,	,	PUNCT
ijassa-426	281	26	xp1	xp1	PROPN
ijassa-426	281	27	(	(	PUNCT
ijassa-426	281	28	x2	x2	PROPN
ijassa-426	281	29	)	)	PUNCT
ijassa-426	281	30	,	,	PUNCT
ijassa-426	281	31	otherwise	otherwise	ADV
ijassa-426	281	32	.	.	PUNCT
ijassa-426	282	1	acknowledgements	acknowledgement	NOUN
ijassa-426	282	2	the	the	DET
ijassa-426	282	3	work	work	NOUN
ijassa-426	282	4	is	be	AUX
ijassa-426	282	5	supported	support	VERB
ijassa-426	282	6	by	by	ADP
ijassa-426	282	7	rfbr	rfbr	NOUN
ijassa-426	282	8	(	(	PUNCT
ijassa-426	282	9	project	project	NOUN
ijassa-426	282	10	12	12	NUM
ijassa-426	282	11	-	-	PUNCT
ijassa-426	282	12	01	01	NUM
ijassa-426	282	13	-	-	PUNCT
ijassa-426	282	14	00017	00017	NUM
ijassa-426	282	15	)	)	PUNCT
ijassa-426	282	16	.	.	PUNCT
ijassa-426	283	1	references	reference	NOUN
ijassa-426	283	2	[	[	X
ijassa-426	283	3	1	1	NUM
ijassa-426	283	4	]	]	PUNCT
ijassa-426	283	5	rose	rose	NOUN
ijassa-426	283	6	-	-	PUNCT
ijassa-426	283	7	ackerman	ackerman	PROPN
ijassa-426	283	8	s.	s.	PROPN
ijassa-426	283	9	(	(	PUNCT
ijassa-426	283	10	1975	1975	NUM
ijassa-426	283	11	)	)	PUNCT
ijassa-426	283	12	,	,	PUNCT
ijassa-426	283	13	“	"	PUNCT
ijassa-426	283	14	the	the	DET
ijassa-426	283	15	economics	economic	NOUN
ijassa-426	283	16	of	of	ADP
ijassa-426	283	17	corruption	corruption	NOUN
ijassa-426	283	18	”	"	PUNCT
ijassa-426	283	19	,	,	PUNCT
ijassa-426	283	20	journal	journal	NOUN
ijassa-426	283	21	of	of	ADP
ijassa-426	283	22	public	public	ADJ
ijassa-426	283	23	economics	economic	NOUN
ijassa-426	283	24	,	,	PUNCT
ijassa-426	283	25	no.4	no.4	PROPN
ijassa-426	283	26	,	,	PUNCT
ijassa-426	283	27	pp.187	pp.187	NOUN
ijassa-426	283	28	-	-	PUNCT
ijassa-426	283	29	203	203	NUM
ijassa-426	283	30	.	.	PUNCT
ijassa-426	284	1	[	[	X
ijassa-426	284	2	2	2	NUM
ijassa-426	284	3	]	]	PUNCT
ijassa-426	284	4	rose	rose	NOUN
ijassa-426	284	5	-	-	PUNCT
ijassa-426	284	6	ackerman	ackerman	PROPN
ijassa-426	284	7	s.	s.	PROPN
ijassa-426	284	8	(	(	PUNCT
ijassa-426	284	9	1978	1978	NUM
ijassa-426	284	10	)	)	PUNCT
ijassa-426	284	11	,	,	PUNCT
ijassa-426	284	12	corruption	corruption	NOUN
ijassa-426	284	13	:	:	PUNCT
ijassa-426	284	14	a	a	DET
ijassa-426	284	15	study	study	NOUN
ijassa-426	284	16	in	in	ADP
ijassa-426	284	17	political	political	ADJ
ijassa-426	284	18	economy	economy	NOUN
ijassa-426	284	19	,	,	PUNCT
ijassa-426	284	20	n.y	n.y	PROPN
ijassa-426	284	21	.	.	PROPN
ijassa-426	284	22	:	:	PUNCT
ijassa-426	284	23	academic	academic	ADJ
ijassa-426	284	24	press	press	NOUN
ijassa-426	284	25	.	.	PUNCT
ijassa-426	285	1	[	[	X
ijassa-426	285	2	3	3	X
ijassa-426	285	3	]	]	X
ijassa-426	285	4	becker	becker	PROPN
ijassa-426	285	5	g.	g.	PROPN
ijassa-426	285	6	(	(	PUNCT
ijassa-426	285	7	1968	1968	NUM
ijassa-426	285	8	)	)	PUNCT
ijassa-426	285	9	,	,	PUNCT
ijassa-426	285	10	“	"	PUNCT
ijassa-426	285	11	crime	crime	NOUN
ijassa-426	285	12	and	and	CCONJ
ijassa-426	285	13	punishment	punishment	NOUN
ijassa-426	285	14	:	:	PUNCT
ijassa-426	285	15	an	an	DET
ijassa-426	285	16	economic	economic	ADJ
ijassa-426	285	17	approach	approach	NOUN
ijassa-426	285	18	”	"	PUNCT
ijassa-426	285	19	,	,	PUNCT
ijassa-426	285	20	journal	journal	NOUN
ijassa-426	285	21	of	of	ADP
ijassa-426	285	22	political	political	ADJ
ijassa-426	285	23	economy	economy	NOUN
ijassa-426	285	24	,	,	PUNCT
ijassa-426	285	25	vol.76	vol.76	NOUN
ijassa-426	285	26	,	,	PUNCT
ijassa-426	285	27	no.2	no.2	PROPN
ijassa-426	285	28	,	,	PUNCT
ijassa-426	285	29	pp.169	pp.169	NOUN
ijassa-426	285	30	-	-	PUNCT
ijassa-426	285	31	217	217	NUM
ijassa-426	285	32	.	.	PUNCT
ijassa-426	286	1	[	[	X
ijassa-426	286	2	4	4	X
ijassa-426	286	3	]	]	PUNCT
ijassa-426	286	4	shleifer	shleifer	NOUN
ijassa-426	286	5	a	a	PRON
ijassa-426	286	6	,	,	PUNCT
ijassa-426	286	7	vishny	vishny	PROPN
ijassa-426	286	8	r.w	r.w	PROPN
ijassa-426	286	9	.	.	PROPN
ijassa-426	287	1	(	(	PUNCT
ijassa-426	287	2	1993	1993	NUM
ijassa-426	287	3	)	)	PUNCT
ijassa-426	287	4	,	,	PUNCT
ijassa-426	287	5	“	"	PUNCT
ijassa-426	287	6	corruption	corruption	NOUN
ijassa-426	287	7	”	"	PUNCT
ijassa-426	287	8	,	,	PUNCT
ijassa-426	287	9	the	the	DET
ijassa-426	287	10	quarterly	quarterly	ADJ
ijassa-426	287	11	journal	journal	NOUN
ijassa-426	287	12	of	of	ADP
ijassa-426	287	13	economics	economic	NOUN
ijassa-426	287	14	,	,	PUNCT
ijassa-426	287	15	vol.108	vol.108	INTJ
ijassa-426	287	16	,	,	PUNCT
ijassa-426	287	17	no.3	no.3	PROPN
ijassa-426	287	18	,	,	PUNCT
ijassa-426	287	19	pp.599	pp.599	PROPN
ijassa-426	287	20	-	-	PUNCT
ijassa-426	287	21	617	617	NUM
ijassa-426	287	22	.	.	PUNCT
ijassa-426	288	1	[	[	X
ijassa-426	288	2	5	5	NUM
ijassa-426	288	3	]	]	PUNCT
ijassa-426	288	4	besley	besley	NOUN
ijassa-426	288	5	t	t	PROPN
ijassa-426	288	6	,	,	PUNCT
ijassa-426	288	7	mclaren	mclaren	PROPN
ijassa-426	288	8	j.	j.	PROPN
ijassa-426	288	9	(	(	PUNCT
ijassa-426	288	10	1993	1993	NUM
ijassa-426	288	11	)	)	PUNCT
ijassa-426	288	12	,	,	PUNCT
ijassa-426	288	13	“	"	PUNCT
ijassa-426	288	14	taxes	taxis	NOUN
ijassa-426	288	15	and	and	CCONJ
ijassa-426	288	16	bribery	bribery	NOUN
ijassa-426	288	17	:	:	PUNCT
ijassa-426	288	18	the	the	DET
ijassa-426	288	19	role	role	NOUN
ijassa-426	288	20	of	of	ADP
ijassa-426	288	21	wage	wage	NOUN
ijassa-426	288	22	incentives	incentive	NOUN
ijassa-426	288	23	”	"	PUNCT
ijassa-426	288	24	,	,	PUNCT
ijassa-426	288	25	the	the	DET
ijassa-426	288	26	economic	economic	ADJ
ijassa-426	288	27	journal	journal	NOUN
ijassa-426	288	28	,	,	PUNCT
ijassa-426	288	29	vol.103	vol.103	PROPN
ijassa-426	288	30	,	,	PUNCT
ijassa-426	288	31	pp.119	pp.119	PROPN
ijassa-426	288	32	-	-	PUNCT
ijassa-426	288	33	141	141	NUM
ijassa-426	288	34	.	.	PUNCT
ijassa-426	289	1	[	[	X
ijassa-426	289	2	6	6	NUM
ijassa-426	289	3	]	]	SYM
ijassa-426	289	4	chandler	chandler	NOUN
ijassa-426	289	5	p	p	X
ijassa-426	289	6	,	,	PUNCT
ijassa-426	289	7	wilde	wilde	PROPN
ijassa-426	289	8	r.	r.	PROPN
ijassa-426	289	9	(	(	PUNCT
ijassa-426	289	10	1992	1992	NUM
ijassa-426	289	11	)	)	PUNCT
ijassa-426	289	12	,	,	PUNCT
ijassa-426	289	13	“	"	PUNCT
ijassa-426	289	14	corruption	corruption	NOUN
ijassa-426	289	15	in	in	ADP
ijassa-426	289	16	tax	tax	NOUN
ijassa-426	289	17	administration	administration	NOUN
ijassa-426	289	18	”	"	PUNCT
ijassa-426	289	19	,	,	PUNCT
ijassa-426	289	20	journal	journal	NOUN
ijassa-426	289	21	of	of	ADP
ijassa-426	289	22	political	political	ADJ
ijassa-426	289	23	economy	economy	NOUN
ijassa-426	289	24	,	,	PUNCT
ijassa-426	289	25	vol.49	vol.49	PROPN
ijassa-426	289	26	,	,	PUNCT
ijassa-426	289	27	no.2	no.2	PROPN
ijassa-426	289	28	,	,	PUNCT
ijassa-426	289	29	pp.333	pp.333	NOUN
ijassa-426	289	30	-	-	PUNCT
ijassa-426	289	31	349	349	NUM
ijassa-426	289	32	.	.	PUNCT
ijassa-426	290	1	[	[	X
ijassa-426	290	2	7	7	X
ijassa-426	290	3	]	]	X
ijassa-426	290	4	hillman	hillman	PROPN
ijassa-426	290	5	l	l	PROPN
ijassa-426	290	6	,	,	PUNCT
ijassa-426	290	7	katz	katz	PROPN
ijassa-426	290	8	e.	e.	PROPN
ijassa-426	290	9	(	(	PUNCT
ijassa-426	290	10	1987	1987	NUM
ijassa-426	290	11	)	)	PUNCT
ijassa-426	290	12	,	,	PUNCT
ijassa-426	290	13	“	"	PUNCT
ijassa-426	290	14	hierarchical	hierarchical	ADJ
ijassa-426	290	15	structure	structure	NOUN
ijassa-426	290	16	and	and	CCONJ
ijassa-426	290	17	the	the	DET
ijassa-426	290	18	social	social	ADJ
ijassa-426	290	19	costs	cost	NOUN
ijassa-426	290	20	of	of	ADP
ijassa-426	290	21	bribes	bribe	NOUN
ijassa-426	290	22	and	and	CCONJ
ijassa-426	290	23	transfers	transfer	NOUN
ijassa-426	290	24	”	"	PUNCT
ijassa-426	290	25	,	,	PUNCT
ijassa-426	290	26	journal	journal	NOUN
ijassa-426	290	27	of	of	ADP
ijassa-426	290	28	political	political	ADJ
ijassa-426	290	29	economy	economy	NOUN
ijassa-426	290	30	,	,	PUNCT
ijassa-426	290	31	vol.34	vol.34	PROPN
ijassa-426	290	32	,	,	PUNCT
ijassa-426	290	33	pp.129	pp.129	PROPN
ijassa-426	290	34	-	-	PUNCT
ijassa-426	290	35	142	142	NUM
ijassa-426	290	36	.	.	PUNCT
ijassa-426	291	1	[	[	X
ijassa-426	291	2	8	8	NUM
ijassa-426	291	3	]	]	X
ijassa-426	291	4	bac	bac	NOUN
ijassa-426	291	5	m.	m.	NOUN
ijassa-426	291	6	(	(	PUNCT
ijassa-426	291	7	1996	1996	NUM
ijassa-426	291	8	)	)	PUNCT
ijassa-426	291	9	,	,	PUNCT
ijassa-426	291	10	“	"	PUNCT
ijassa-426	291	11	corruption	corruption	NOUN
ijassa-426	291	12	and	and	CCONJ
ijassa-426	291	13	supervision	supervision	NOUN
ijassa-426	291	14	costs	cost	NOUN
ijassa-426	291	15	in	in	ADP
ijassa-426	291	16	hierarchies	hierarchy	NOUN
ijassa-426	291	17	”	"	PUNCT
ijassa-426	291	18	,	,	PUNCT
ijassa-426	291	19	journal	journal	NOUN
ijassa-426	291	20	of	of	ADP
ijassa-426	291	21	comparative	comparative	ADJ
ijassa-426	291	22	economics	economic	NOUN
ijassa-426	291	23	,	,	PUNCT
ijassa-426	291	24	vol.22	vol.22	NOUN
ijassa-426	291	25	,	,	PUNCT
ijassa-426	291	26	pp.99	pp.99	NOUN
ijassa-426	291	27	-	-	PUNCT
ijassa-426	291	28	118	118	NUM
ijassa-426	291	29	.	.	PUNCT
ijassa-426	292	1	[	[	X
ijassa-426	292	2	9	9	NUM
ijassa-426	292	3	]	]	X
ijassa-426	292	4	kofman	kofman	NOUN
ijassa-426	292	5	f	f	PROPN
ijassa-426	292	6	,	,	PUNCT
ijassa-426	292	7	lawarree	lawarree	PROPN
ijassa-426	292	8	j.	j.	PROPN
ijassa-426	292	9	(	(	PUNCT
ijassa-426	292	10	1993	1993	NUM
ijassa-426	292	11	)	)	PUNCT
ijassa-426	292	12	,	,	PUNCT
ijassa-426	292	13	“	"	PUNCT
ijassa-426	292	14	collusion	collusion	NOUN
ijassa-426	292	15	in	in	ADP
ijassa-426	292	16	hierarchical	hierarchical	ADJ
ijassa-426	292	17	agency	agency	NOUN
ijassa-426	292	18	”	"	PUNCT
ijassa-426	292	19	,	,	PUNCT
ijassa-426	292	20	econometrica	econometrica	PROPN
ijassa-426	292	21	,	,	PUNCT
ijassa-426	292	22	vol.61	vol.61	NOUN
ijassa-426	292	23	,	,	PUNCT
ijassa-426	292	24	no.3	no.3	NOUN
ijassa-426	292	25	,	,	PUNCT
ijassa-426	292	26	pp.629	pp.629	PROPN
ijassa-426	292	27	-	-	PUNCT
ijassa-426	292	28	656	656	NUM
ijassa-426	292	29	.	.	PUNCT
ijassa-426	293	1	[	[	X
ijassa-426	293	2	10	10	NUM
ijassa-426	293	3	]	]	X
ijassa-426	293	4	lambert	lambert	NOUN
ijassa-426	293	5	-	-	PUNCT
ijassa-426	293	6	mogiliansky	mogiliansky	ADJ
ijassa-426	293	7	a.	a.	NOUN
ijassa-426	293	8	(	(	PUNCT
ijassa-426	293	9	1996	1996	NUM
ijassa-426	293	10	)	)	PUNCT
ijassa-426	293	11	,	,	PUNCT
ijassa-426	293	12	“	"	PUNCT
ijassa-426	293	13	essays	essay	NOUN
ijassa-426	293	14	on	on	ADP
ijassa-426	293	15	corruption	corruption	NOUN
ijassa-426	293	16	”	"	PUNCT
ijassa-426	293	17	,	,	PUNCT
ijassa-426	293	18	department	department	NOUN
ijassa-426	293	19	of	of	ADP
ijassa-426	293	20	economics	economic	NOUN
ijassa-426	293	21	,	,	PUNCT
ijassa-426	293	22	stockholm	stockholm	PROPN
ijassa-426	293	23	university	university	NOUN
ijassa-426	293	24	,	,	PUNCT
ijassa-426	293	25	pp.101	pp.101	PROPN
ijassa-426	293	26	-	-	PUNCT
ijassa-426	293	27	138	138	NUM
ijassa-426	293	28	.	.	PUNCT
ijassa-426	294	1	[	[	X
ijassa-426	294	2	11	11	NUM
ijassa-426	294	3	]	]	X
ijassa-426	294	4	olsen	olsen	NOUN
ijassa-426	294	5	t.e	t.e	PROPN
ijassa-426	294	6	,	,	PUNCT
ijassa-426	294	7	torsvik	torsvik	NOUN
ijassa-426	294	8	g.	g.	NOUN
ijassa-426	294	9	(	(	PUNCT
ijassa-426	294	10	1998	1998	NUM
ijassa-426	294	11	)	)	PUNCT
ijassa-426	294	12	,	,	PUNCT
ijassa-426	294	13	“	"	PUNCT
ijassa-426	294	14	collusion	collusion	NOUN
ijassa-426	294	15	and	and	CCONJ
ijassa-426	294	16	renegotiations	renegotiation	NOUN
ijassa-426	294	17	in	in	ADP
ijassa-426	294	18	hierarchies	hierarchy	NOUN
ijassa-426	294	19	:	:	PUNCT
ijassa-426	294	20	a	a	DET
ijassa-426	294	21	case	case	NOUN
ijassa-426	294	22	of	of	ADP
ijassa-426	294	23	beneficial	beneficial	ADJ
ijassa-426	294	24	corruption	corruption	NOUN
ijassa-426	294	25	”	"	PUNCT
ijassa-426	294	26	,	,	PUNCT
ijassa-426	294	27	international	international	ADJ
ijassa-426	294	28	economic	economic	ADJ
ijassa-426	294	29	review	review	NOUN
ijassa-426	294	30	,	,	PUNCT
ijassa-426	294	31	vol.39	vol.39	NOUN
ijassa-426	294	32	,	,	PUNCT
ijassa-426	294	33	no.2	no.2	PROPN
ijassa-426	294	34	,	,	PUNCT
ijassa-426	294	35	pp.143	pp.143	NOUN
ijassa-426	294	36	-	-	PUNCT
ijassa-426	294	37	157	157	NUM
ijassa-426	294	38	.	.	PUNCT
ijassa-426	295	1	52	52	NUM
ijassa-426	295	2	andrey	andrey	PROPN
ijassa-426	295	3	v.	v.	ADP
ijassa-426	295	4	antonenko	antonenko	PROPN
ijassa-426	295	5	:	:	PUNCT
ijassa-426	295	6	static	static	ADJ
ijassa-426	295	7	models	model	NOUN
ijassa-426	295	8	of	of	ADP
ijassa-426	295	9	corruption	corruption	NOUN
ijassa-426	295	10	in	in	ADP
ijassa-426	295	11	hierarchical	hierarchical	ADJ
ijassa-426	295	12	systems	system	NOUN
ijassa-426	295	13	[	[	X
ijassa-426	295	14	12	12	NUM
ijassa-426	295	15	]	]	PUNCT
ijassa-426	295	16	hindriks	hindriks	PROPN
ijassa-426	295	17	j	j	PROPN
ijassa-426	295	18	,	,	PUNCT
ijassa-426	295	19	keen	keen	ADJ
ijassa-426	295	20	m.	m.	NOUN
ijassa-426	295	21	,	,	PUNCT
ijassa-426	295	22	muthoo	muthoo	PROPN
ijassa-426	295	23	a.	a.	NOUN
ijassa-426	295	24	(	(	PUNCT
ijassa-426	295	25	1999	1999	NUM
ijassa-426	295	26	)	)	PUNCT
ijassa-426	295	27	,	,	PUNCT
ijassa-426	295	28	“	"	PUNCT
ijassa-426	295	29	corruption	corruption	NOUN
ijassa-426	295	30	,	,	PUNCT
ijassa-426	295	31	extortion	extortion	NOUN
ijassa-426	295	32	and	and	CCONJ
ijassa-426	295	33	evasion	evasion	NOUN
ijassa-426	295	34	”	"	PUNCT
ijassa-426	295	35	,	,	PUNCT
ijassa-426	295	36	journal	journal	NOUN
ijassa-426	295	37	of	of	ADP
ijassa-426	295	38	public	public	ADJ
ijassa-426	295	39	economics	economic	NOUN
ijassa-426	295	40	,	,	PUNCT
ijassa-426	295	41	vol.74	vol.74	NOUN
ijassa-426	295	42	,	,	PUNCT
ijassa-426	295	43	no.1	no.1	NUM
ijassa-426	295	44	,	,	PUNCT
ijassa-426	295	45	pp.395	pp.395	NOUN
ijassa-426	295	46	-	-	PUNCT
ijassa-426	295	47	430	430	NUM
ijassa-426	295	48	.	.	PUNCT
ijassa-426	296	1	[	[	X
ijassa-426	296	2	13	13	NUM
ijassa-426	296	3	]	]	X
ijassa-426	296	4	myerson	myerson	NOUN
ijassa-426	296	5	r.b	r.b	PROPN
ijassa-426	296	6	.	.	PUNCT
ijassa-426	296	7	(	(	PUNCT
ijassa-426	296	8	1993	1993	NUM
ijassa-426	296	9	)	)	PUNCT
ijassa-426	296	10	,	,	PUNCT
ijassa-426	296	11	“	"	PUNCT
ijassa-426	296	12	effectiveness	effectiveness	NOUN
ijassa-426	296	13	of	of	ADP
ijassa-426	296	14	electoral	electoral	ADJ
ijassa-426	296	15	systems	system	NOUN
ijassa-426	296	16	for	for	ADP
ijassa-426	296	17	reducing	reduce	VERB
ijassa-426	296	18	government	government	NOUN
ijassa-426	296	19	corruption	corruption	NOUN
ijassa-426	296	20	:	:	PUNCT
ijassa-426	296	21	a	a	DET
ijassa-426	296	22	game	game	NOUN
ijassa-426	296	23	-	-	PUNCT
ijassa-426	296	24	theoretic	theoretic	NOUN
ijassa-426	296	25	analysis	analysis	NOUN
ijassa-426	296	26	”	"	PUNCT
ijassa-426	296	27	,	,	PUNCT
ijassa-426	296	28	journal	journal	NOUN
ijassa-426	296	29	of	of	ADP
ijassa-426	296	30	economic	economic	ADJ
ijassa-426	296	31	literature	literature	NOUN
ijassa-426	296	32	,	,	PUNCT
ijassa-426	296	33	vol.5	vol.5	PROPN
ijassa-426	296	34	,	,	PUNCT
ijassa-426	296	35	no.1	no.1	NUM
ijassa-426	296	36	,	,	PUNCT
ijassa-426	296	37	pp.118	pp.118	PROPN
ijassa-426	296	38	-	-	PROPN
ijassa-426	296	39	132	132	NUM
ijassa-426	296	40	.	.	PUNCT
ijassa-426	297	1	[	[	X
ijassa-426	297	2	14	14	NUM
ijassa-426	297	3	]	]	X
ijassa-426	297	4	dudley	dudley	PROPN
ijassa-426	297	5	l	l	PROPN
ijassa-426	297	6	,	,	PUNCT
ijassa-426	297	7	montmarquette	montmarquette	PROPN
ijassa-426	297	8	c.	c.	PROPN
ijassa-426	297	9	(	(	PUNCT
ijassa-426	297	10	1987	1987	NUM
ijassa-426	297	11	)	)	PUNCT
ijassa-426	297	12	,	,	PUNCT
ijassa-426	297	13	“	"	PUNCT
ijassa-426	297	14	bureaucratic	bureaucratic	ADJ
ijassa-426	297	15	corruption	corruption	NOUN
ijassa-426	297	16	as	as	ADP
ijassa-426	297	17	a	a	DET
ijassa-426	297	18	constraint	constraint	NOUN
ijassa-426	297	19	on	on	ADP
ijassa-426	297	20	voter	voter	NOUN
ijassa-426	297	21	choice	choice	NOUN
ijassa-426	297	22	”	"	PUNCT
ijassa-426	297	23	,	,	PUNCT
ijassa-426	297	24	public	public	ADJ
ijassa-426	297	25	choice	choice	NOUN
ijassa-426	297	26	,	,	PUNCT
ijassa-426	297	27	vol.55	vol.55	ADJ
ijassa-426	297	28	,	,	PUNCT
ijassa-426	297	29	pp.127	pp.127	PROPN
ijassa-426	297	30	-	-	SYM
ijassa-426	297	31	160	160	NUM
ijassa-426	297	32	.	.	PUNCT
ijassa-426	298	1	[	[	X
ijassa-426	298	2	15	15	NUM
ijassa-426	298	3	]	]	X
ijassa-426	298	4	rasmusen	rasmusen	NOUN
ijassa-426	298	5	e	e	NOUN
ijassa-426	298	6	,	,	PUNCT
ijassa-426	298	7	ramseyer	ramseyer	PROPN
ijassa-426	298	8	j.	j.	PROPN
ijassa-426	298	9	(	(	PUNCT
ijassa-426	298	10	1992	1992	NUM
ijassa-426	298	11	)	)	PUNCT
ijassa-426	298	12	,	,	PUNCT
ijassa-426	298	13	“	"	PUNCT
ijassa-426	298	14	trivial	trivial	ADJ
ijassa-426	298	15	bribes	bribe	NOUN
ijassa-426	298	16	and	and	CCONJ
ijassa-426	298	17	the	the	DET
ijassa-426	298	18	corruption	corruption	NOUN
ijassa-426	298	19	ban	ban	NOUN
ijassa-426	298	20	:	:	PUNCT
ijassa-426	298	21	a	a	DET
ijassa-426	298	22	coordination	coordination	NOUN
ijassa-426	298	23	game	game	NOUN
ijassa-426	298	24	among	among	ADP
ijassa-426	298	25	rational	rational	ADJ
ijassa-426	298	26	legislators	legislator	NOUN
ijassa-426	298	27	”	"	PUNCT
ijassa-426	298	28	,	,	PUNCT
ijassa-426	298	29	public	public	ADJ
ijassa-426	298	30	choice	choice	NOUN
ijassa-426	298	31	,	,	PUNCT
ijassa-426	298	32	vol.78	vol.78	NOUN
ijassa-426	298	33	,	,	PUNCT
ijassa-426	298	34	pp.305	pp.305	NOUN
ijassa-426	298	35	-	-	NOUN
ijassa-426	298	36	327	327	NUM
ijassa-426	298	37	.	.	PUNCT
ijassa-426	299	1	[	[	X
ijassa-426	299	2	16	16	NUM
ijassa-426	299	3	]	]	X
ijassa-426	299	4	levin	levin	PROPN
ijassa-426	299	5	m	m	PROPN
ijassa-426	299	6	,	,	PUNCT
ijassa-426	299	7	satarov	satarov	PROPN
ijassa-426	299	8	g.	g.	PROPN
ijassa-426	299	9	(	(	PUNCT
ijassa-426	299	10	2000	2000	NUM
ijassa-426	299	11	)	)	PUNCT
ijassa-426	299	12	,	,	PUNCT
ijassa-426	299	13	“	"	PUNCT
ijassa-426	299	14	corruption	corruption	NOUN
ijassa-426	299	15	and	and	CCONJ
ijassa-426	299	16	institutions	institution	NOUN
ijassa-426	299	17	in	in	ADP
ijassa-426	299	18	russia	russia	PROPN
ijassa-426	299	19	”	"	PUNCT
ijassa-426	299	20	,	,	PUNCT
ijassa-426	299	21	european	european	PROPN
ijassa-426	299	22	journal	journal	PROPN
ijassa-426	299	23	of	of	ADP
ijassa-426	299	24	political	political	ADJ
ijassa-426	299	25	economy	economy	NOUN
ijassa-426	299	26	,	,	PUNCT
ijassa-426	299	27	vol.16	vol.16	PROPN
ijassa-426	299	28	,	,	PUNCT
ijassa-426	299	29	pp.113	pp.113	PROPN
ijassa-426	299	30	-	-	PUNCT
ijassa-426	299	31	132	132	NUM
ijassa-426	299	32	.	.	PUNCT
ijassa-426	300	1	[	[	X
ijassa-426	300	2	17	17	NUM
ijassa-426	300	3	]	]	X
ijassa-426	300	4	kahana	kahana	PROPN
ijassa-426	300	5	n	n	PROPN
ijassa-426	300	6	,	,	PUNCT
ijassa-426	300	7	qijun	qijun	PROPN
ijassa-426	300	8	l.	l.	PROPN
ijassa-426	300	9	(	(	PUNCT
ijassa-426	300	10	2010	2010	NUM
ijassa-426	300	11	)	)	PUNCT
ijassa-426	300	12	,	,	PUNCT
ijassa-426	300	13	“	"	PUNCT
ijassa-426	300	14	endemic	endemic	ADJ
ijassa-426	300	15	corruption	corruption	NOUN
ijassa-426	300	16	”	"	PUNCT
ijassa-426	300	17	,	,	PUNCT
ijassa-426	300	18	european	european	PROPN
ijassa-426	300	19	journal	journal	PROPN
ijassa-426	300	20	of	of	ADP
ijassa-426	300	21	political	political	ADJ
ijassa-426	300	22	economy	economy	NOUN
ijassa-426	300	23	,	,	PUNCT
ijassa-426	300	24	vol.26	vol.26	ADJ
ijassa-426	300	25	,	,	PUNCT
ijassa-426	300	26	pp.82	pp.82	NOUN
ijassa-426	300	27	-	-	PUNCT
ijassa-426	300	28	88	88	NUM
ijassa-426	300	29	.	.	PUNCT
ijassa-426	301	1	[	[	X
ijassa-426	301	2	18	18	NUM
ijassa-426	301	3	]	]	X
ijassa-426	301	4	bhattacharia	bhattacharia	PROPN
ijassa-426	301	5	s	s	PROPN
ijassa-426	301	6	,	,	PUNCT
ijassa-426	301	7	hodler	hodler	PROPN
ijassa-426	301	8	r.	r.	PROPN
ijassa-426	301	9	(	(	PUNCT
ijassa-426	301	10	2010	2010	NUM
ijassa-426	301	11	)	)	PUNCT
ijassa-426	301	12	,	,	PUNCT
ijassa-426	301	13	“	"	PUNCT
ijassa-426	301	14	natural	natural	ADJ
ijassa-426	301	15	resources	resource	NOUN
ijassa-426	301	16	,	,	PUNCT
ijassa-426	301	17	bureaucracy	bureaucracy	NOUN
ijassa-426	301	18	and	and	CCONJ
ijassa-426	301	19	corruption	corruption	NOUN
ijassa-426	301	20	”	"	PUNCT
ijassa-426	301	21	,	,	PUNCT
ijassa-426	301	22	european	european	PROPN
ijassa-426	301	23	economic	economic	PROPN
ijassa-426	301	24	review	review	PROPN
ijassa-426	301	25	,	,	PUNCT
ijassa-426	301	26	vol.54	vol.54	PROPN
ijassa-426	301	27	,	,	PUNCT
ijassa-426	301	28	pp.608	pp.608	PROPN
ijassa-426	301	29	-	-	PUNCT
ijassa-426	301	30	621	621	NUM
ijassa-426	301	31	.	.	PUNCT
ijassa-426	302	1	[	[	X
ijassa-426	302	2	19	19	NUM
ijassa-426	302	3	]	]	PUNCT
ijassa-426	302	4	balafoutas	balafoutas	PROPN
ijassa-426	302	5	l.	l.	PROPN
ijassa-426	302	6	(	(	PUNCT
ijassa-426	302	7	2011	2011	NUM
ijassa-426	302	8	)	)	PUNCT
ijassa-426	302	9	,	,	PUNCT
ijassa-426	302	10	“	"	PUNCT
ijassa-426	302	11	public	public	ADJ
ijassa-426	302	12	beliefs	belief	NOUN
ijassa-426	302	13	and	and	CCONJ
ijassa-426	302	14	corruption	corruption	NOUN
ijassa-426	302	15	in	in	ADP
ijassa-426	302	16	a	a	DET
ijassa-426	302	17	repeated	repeat	VERB
ijassa-426	302	18	psychological	psychological	ADJ
ijassa-426	302	19	game	game	NOUN
ijassa-426	302	20	”	"	PUNCT
ijassa-426	302	21	,	,	PUNCT
ijassa-426	302	22	journal	journal	NOUN
ijassa-426	302	23	of	of	ADP
ijassa-426	302	24	economic	economic	ADJ
ijassa-426	302	25	behavior	behavior	NOUN
ijassa-426	302	26	and	and	CCONJ
ijassa-426	302	27	organization	organization	NOUN
ijassa-426	302	28	,	,	PUNCT
ijassa-426	302	29	vol.78	vol.78	NOUN
ijassa-426	302	30	,	,	PUNCT
ijassa-426	302	31	pp.5159	pp.5159	PROPN
ijassa-426	302	32	.	.	PUNCT
ijassa-426	303	1	[	[	X
ijassa-426	303	2	20	20	NUM
ijassa-426	303	3	]	]	X
ijassa-426	303	4	ougolnitsky	ougolnitsky	PROPN
ijassa-426	303	5	g.	g.	PROPN
ijassa-426	303	6	(	(	PUNCT
ijassa-426	303	7	2011	2011	NUM
ijassa-426	303	8	)	)	PUNCT
ijassa-426	303	9	,	,	PUNCT
ijassa-426	303	10	sustainable	sustainable	ADJ
ijassa-426	303	11	management	management	NOUN
ijassa-426	303	12	,	,	PUNCT
ijassa-426	303	13	n.y	n.y	PROPN
ijassa-426	303	14	.	.	PROPN
ijassa-426	303	15	:	:	PUNCT
ijassa-426	304	1	nova	nova	PROPN
ijassa-426	304	2	science	science	NOUN
ijassa-426	304	3	publishers	publisher	NOUN
ijassa-426	304	4	,	,	PUNCT
ijassa-426	304	5	pp.287	pp.287	PROPN
ijassa-426	304	6	.	.	PUNCT
ijassa-426	305	1	[	[	X
ijassa-426	305	2	21	21	NUM
ijassa-426	305	3	]	]	X
ijassa-426	305	4	antonenko	antonenko	PROPN
ijassa-426	305	5	a.v	a.v	PROPN
ijassa-426	305	6	,	,	PUNCT
ijassa-426	305	7	ougolnitsky	ougolnitsky	PROPN
ijassa-426	305	8	g.a	g.a	PROPN
ijassa-426	305	9	,	,	PUNCT
ijassa-426	305	10	usov	usov	PROPN
ijassa-426	305	11	a.b	a.b	PROPN
ijassa-426	305	12	.	.	PROPN
ijassa-426	305	13	(	(	PUNCT
ijassa-426	305	14	2012	2012	NUM
ijassa-426	305	15	)	)	PUNCT
ijassa-426	305	16	,	,	PUNCT
ijassa-426	305	17	“	"	PUNCT
ijassa-426	305	18	static	static	ADJ
ijassa-426	305	19	models	model	NOUN
ijassa-426	305	20	of	of	ADP
ijassa-426	305	21	corruption	corruption	NOUN
ijassa-426	305	22	in	in	ADP
ijassa-426	305	23	hierarchical	hierarchical	ADJ
ijassa-426	305	24	control	control	NOUN
ijassa-426	305	25	systems	system	NOUN
ijassa-426	305	26	”	"	PUNCT
ijassa-426	305	27	,	,	PUNCT
ijassa-426	305	28	contributions	contribution	NOUN
ijassa-426	305	29	to	to	ADP
ijassa-426	305	30	game	game	NOUN
ijassa-426	305	31	theory	theory	NOUN
ijassa-426	305	32	and	and	CCONJ
ijassa-426	305	33	management	management	NOUN
ijassa-426	305	34	.	.	PUNCT
ijassa-426	306	1	vol.v	vol.v	NOUN
ijassa-426	306	2	.	.	NOUN
ijassa-426	306	3	collected	collect	VERB
ijassa-426	306	4	papers	paper	NOUN
ijassa-426	306	5	presented	present	VERB
ijassa-426	306	6	on	on	ADP
ijassa-426	306	7	the	the	DET
ijassa-426	306	8	fifth	fifth	ADJ
ijassa-426	306	9	international	international	ADJ
ijassa-426	306	10	conference	conference	NOUN
ijassa-426	306	11	game	game	NOUN
ijassa-426	306	12	theory	theory	NOUN
ijassa-426	306	13	and	and	CCONJ
ijassa-426	306	14	management	management	NOUN
ijassa-426	306	15	/	/	SYM
ijassa-426	306	16	ed	ed	NOUN
ijassa-426	306	17	.	.	PUNCT
ijassa-426	307	1	leon	leon	PROPN
ijassa-426	307	2	a.	a.	PROPN
ijassa-426	307	3	petrosyan	petrosyan	PROPN
ijassa-426	307	4	,	,	PUNCT
ijassa-426	307	5	nikolay	nikolay	NOUN
ijassa-426	307	6	a.	a.	NOUN
ijassa-426	307	7	zenkevich	zenkevich	PROPN
ijassa-426	307	8	.	.	PUNCT
ijassa-426	308	1	spb	spb	PROPN
ijassa-426	308	2	.	.	PUNCT
ijassa-426	308	3	:	:	PUNCT
ijassa-426	309	1	graduate	graduate	NOUN
ijassa-426	309	2	school	school	NOUN
ijassa-426	309	3	of	of	ADP
ijassa-426	309	4	management	management	NOUN
ijassa-426	309	5	spbu	spbu	NOUN
ijassa-426	309	6	,	,	PUNCT
ijassa-426	309	7	pp.20	pp.20	PROPN
ijassa-426	309	8	-	-	PUNCT
ijassa-426	309	9	32	32	NUM
ijassa-426	309	10	.	.	PUNCT
ijassa-426	310	1	[	[	X
ijassa-426	310	2	22	22	NUM
ijassa-426	310	3	]	]	X
ijassa-426	310	4	gorelick	gorelick	PROPN
ijassa-426	310	5	v.a	v.a	PROPN
ijassa-426	310	6	,	,	PUNCT
ijassa-426	310	7	kononenko	kononenko	PROPN
ijassa-426	310	8	a.f	a.f	PROPN
ijassa-426	310	9	.	.	PUNCT
ijassa-426	311	1	(	(	PUNCT
ijassa-426	311	2	1982	1982	NUM
ijassa-426	311	3	)	)	PUNCT
ijassa-426	311	4	,	,	PUNCT
ijassa-426	311	5	game	game	NOUN
ijassa-426	311	6	theoretic	theoretic	NOUN
ijassa-426	311	7	models	model	NOUN
ijassa-426	311	8	of	of	ADP
ijassa-426	311	9	decision	decision	NOUN
ijassa-426	311	10	making	make	VERB
ijassa-426	311	11	in	in	ADP
ijassa-426	311	12	ecological	ecological	ADJ
ijassa-426	311	13	-	-	PUNCT
ijassa-426	311	14	economic	economic	ADJ
ijassa-426	311	15	systems	system	NOUN
ijassa-426	311	16	,	,	PUNCT
ijassa-426	311	17	moscow	moscow	PROPN
ijassa-426	311	18	,	,	PUNCT
ijassa-426	311	19	pp.145(in	pp.145(in	NOUN
ijassa-426	311	20	russian	russian	NOUN
ijassa-426	311	21	)	)	PUNCT
ijassa-426	311	22	.	.	PUNCT
ijassa-426	312	1	corresponding	correspond	VERB
ijassa-426	312	2	author	author	NOUN
ijassa-426	312	3	guennady	guennady	PROPN
ijassa-426	312	4	a.	a.	PROPN
ijassa-426	312	5	ougolnitsky	ougolnitsky	PROPN
ijassa-426	312	6	can	can	AUX
ijassa-426	312	7	be	be	AUX
ijassa-426	312	8	contacted	contact	VERB
ijassa-426	312	9	at	at	ADP
ijassa-426	312	10	:	:	PUNCT
ijassa-426	312	11	ougoln@gmail.com	ougoln@gmail.com	X
ijassa-426	312	12	.	.	PUNCT