id	sid	tid	token	lemma	pos
ap-2230	1	1	acta	acta	PROPN
ap-2230	1	2	polytechnica	polytechnica	PROPN
ap-2230	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2230	1	4	/	/	SYM
ap-2230	1	5	ap.2014.54.0333	ap.2014.54.0333	NOUN
ap-2230	1	6	acta	acta	PROPN
ap-2230	1	7	polytechnica	polytechnica	PROPN
ap-2230	1	8	54(5):333–340	54(5):333–340	PROPN
ap-2230	1	9	,	,	PUNCT
ap-2230	1	10	2014	2014	NUM
ap-2230	1	11	©	©	PROPN
ap-2230	1	12	czech	czech	PROPN
ap-2230	1	13	technical	technical	PROPN
ap-2230	1	14	university	university	PROPN
ap-2230	1	15	in	in	ADP
ap-2230	1	16	prague	prague	PROPN
ap-2230	1	17	,	,	PUNCT
ap-2230	1	18	2014	2014	NUM
ap-2230	1	19	available	available	ADJ
ap-2230	1	20	online	online	ADV
ap-2230	1	21	at	at	ADP
ap-2230	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2230	1	23	alternative	alternative	ADJ
ap-2230	1	24	selection	selection	NOUN
ap-2230	1	25	functions	function	NOUN
ap-2230	1	26	for	for	ADP
ap-2230	1	27	information	information	NOUN
ap-2230	1	28	set	set	VERB
ap-2230	1	29	monte	monte	PROPN
ap-2230	1	30	carlo	carlo	PROPN
ap-2230	1	31	tree	tree	NOUN
ap-2230	1	32	search	search	PROPN
ap-2230	1	33	viliam	viliam	PROPN
ap-2230	1	34	lisý	lisý	PROPN
ap-2230	1	35	agent	agent	PROPN
ap-2230	1	36	technology	technology	NOUN
ap-2230	1	37	center	center	NOUN
ap-2230	1	38	,	,	PUNCT
ap-2230	1	39	department	department	NOUN
ap-2230	1	40	of	of	ADP
ap-2230	1	41	computer	computer	NOUN
ap-2230	1	42	science	science	NOUN
ap-2230	1	43	,	,	PUNCT
ap-2230	1	44	fee	fee	NOUN
ap-2230	1	45	,	,	PUNCT
ap-2230	1	46	czech	czech	PROPN
ap-2230	1	47	technical	technical	PROPN
ap-2230	1	48	university	university	PROPN
ap-2230	1	49	in	in	ADP
ap-2230	1	50	prague	prague	PROPN
ap-2230	1	51	correspondence	correspondence	NOUN
ap-2230	1	52	:	:	PUNCT
ap-2230	1	53	viliam.lisy@agents.fel.cvut.cz	viliam.lisy@agents.fel.cvut.cz	NUM
ap-2230	1	54	abstract	abstract	NOUN
ap-2230	1	55	.	.	PUNCT
ap-2230	2	1	we	we	PRON
ap-2230	2	2	evaluate	evaluate	VERB
ap-2230	2	3	the	the	DET
ap-2230	2	4	performance	performance	NOUN
ap-2230	2	5	of	of	ADP
ap-2230	2	6	various	various	ADJ
ap-2230	2	7	selection	selection	NOUN
ap-2230	2	8	methods	method	NOUN
ap-2230	2	9	for	for	ADP
ap-2230	2	10	the	the	DET
ap-2230	2	11	monte	monte	PROPN
ap-2230	2	12	carlo	carlo	PROPN
ap-2230	2	13	tree	tree	NOUN
ap-2230	2	14	search	search	NOUN
ap-2230	2	15	algorithm	algorithm	NOUN
ap-2230	2	16	in	in	ADP
ap-2230	2	17	two	two	NUM
ap-2230	2	18	-	-	PUNCT
ap-2230	2	19	player	player	NOUN
ap-2230	2	20	zero	zero	NUM
ap-2230	2	21	-	-	PUNCT
ap-2230	2	22	sum	sum	NOUN
ap-2230	2	23	extensive	extensive	ADJ
ap-2230	2	24	-	-	PUNCT
ap-2230	2	25	form	form	NOUN
ap-2230	2	26	games	game	NOUN
ap-2230	2	27	with	with	ADP
ap-2230	2	28	imperfect	imperfect	ADJ
ap-2230	2	29	information	information	NOUN
ap-2230	2	30	.	.	PUNCT
ap-2230	3	1	we	we	PRON
ap-2230	3	2	compare	compare	VERB
ap-2230	3	3	the	the	DET
ap-2230	3	4	standard	standard	ADJ
ap-2230	3	5	upper	upper	ADJ
ap-2230	3	6	confident	confident	ADJ
ap-2230	3	7	bounds	bound	NOUN
ap-2230	3	8	applied	apply	VERB
ap-2230	3	9	to	to	ADP
ap-2230	3	10	trees	tree	NOUN
ap-2230	3	11	(	(	PUNCT
ap-2230	3	12	uct	uct	PROPN
ap-2230	3	13	)	)	PUNCT
ap-2230	3	14	along	along	ADP
ap-2230	3	15	with	with	ADP
ap-2230	3	16	the	the	DET
ap-2230	3	17	less	less	ADV
ap-2230	3	18	common	common	ADJ
ap-2230	3	19	exponential	exponential	ADJ
ap-2230	3	20	weights	weight	NOUN
ap-2230	3	21	for	for	ADP
ap-2230	3	22	exploration	exploration	NOUN
ap-2230	3	23	and	and	CCONJ
ap-2230	3	24	exploitation	exploitation	NOUN
ap-2230	3	25	(	(	PUNCT
ap-2230	3	26	exp3	exp3	NOUN
ap-2230	3	27	)	)	PUNCT
ap-2230	3	28	and	and	CCONJ
ap-2230	3	29	novel	novel	PROPN
ap-2230	3	30	regret	regret	NOUN
ap-2230	3	31	matching	matching	PROPN
ap-2230	3	32	(	(	PUNCT
ap-2230	3	33	rm	rm	NOUN
ap-2230	3	34	)	)	PUNCT
ap-2230	3	35	selection	selection	NOUN
ap-2230	3	36	in	in	ADP
ap-2230	3	37	two	two	NUM
ap-2230	3	38	distinct	distinct	ADJ
ap-2230	3	39	imperfect	imperfect	ADJ
ap-2230	3	40	information	information	NOUN
ap-2230	3	41	games	game	NOUN
ap-2230	3	42	:	:	PUNCT
ap-2230	3	43	imperfect	imperfect	ADJ
ap-2230	3	44	information	information	NOUN
ap-2230	3	45	goofspiel	goofspiel	NOUN
ap-2230	3	46	and	and	CCONJ
ap-2230	3	47	phantom	phantom	ADJ
ap-2230	3	48	tic	tic	ADJ
ap-2230	3	49	-	-	PUNCT
ap-2230	3	50	tac	tac	NOUN
ap-2230	3	51	-	-	NOUN
ap-2230	3	52	toe	toe	NOUN
ap-2230	3	53	.	.	PUNCT
ap-2230	4	1	we	we	PRON
ap-2230	4	2	show	show	VERB
ap-2230	4	3	that	that	SCONJ
ap-2230	4	4	uct	uct	PROPN
ap-2230	4	5	after	after	ADP
ap-2230	4	6	initial	initial	ADJ
ap-2230	4	7	fast	fast	ADJ
ap-2230	4	8	convergence	convergence	NOUN
ap-2230	4	9	towards	towards	ADP
ap-2230	4	10	a	a	DET
ap-2230	4	11	nash	nash	ADJ
ap-2230	4	12	equilibrium	equilibrium	NOUN
ap-2230	4	13	computes	compute	VERB
ap-2230	4	14	increasingly	increasingly	ADV
ap-2230	4	15	worse	bad	ADJ
ap-2230	4	16	strategies	strategy	NOUN
ap-2230	4	17	after	after	ADP
ap-2230	4	18	some	some	DET
ap-2230	4	19	point	point	NOUN
ap-2230	4	20	in	in	ADP
ap-2230	4	21	time	time	NOUN
ap-2230	4	22	.	.	PUNCT
ap-2230	5	1	this	this	PRON
ap-2230	5	2	is	be	AUX
ap-2230	5	3	not	not	PART
ap-2230	5	4	the	the	DET
ap-2230	5	5	case	case	NOUN
ap-2230	5	6	with	with	ADP
ap-2230	5	7	exp3	exp3	PROPN
ap-2230	5	8	and	and	CCONJ
ap-2230	5	9	rm	rm	PROPN
ap-2230	5	10	,	,	PUNCT
ap-2230	5	11	which	which	PRON
ap-2230	5	12	also	also	ADV
ap-2230	5	13	show	show	VERB
ap-2230	5	14	superior	superior	ADJ
ap-2230	5	15	performance	performance	NOUN
ap-2230	5	16	in	in	ADP
ap-2230	5	17	head	head	NOUN
ap-2230	5	18	-	-	PUNCT
ap-2230	5	19	to	to	ADP
ap-2230	5	20	-	-	PUNCT
ap-2230	5	21	head	head	NOUN
ap-2230	5	22	matches	match	NOUN
ap-2230	5	23	.	.	PUNCT
ap-2230	6	1	keywords	keyword	NOUN
ap-2230	6	2	:	:	PUNCT
ap-2230	6	3	monte	monte	PROPN
ap-2230	6	4	carlo	carlo	PROPN
ap-2230	6	5	tree	tree	NOUN
ap-2230	6	6	search	search	NOUN
ap-2230	6	7	,	,	PUNCT
ap-2230	6	8	imperfect	imperfect	ADJ
ap-2230	6	9	information	information	NOUN
ap-2230	6	10	game	game	NOUN
ap-2230	6	11	,	,	PUNCT
ap-2230	6	12	selection	selection	NOUN
ap-2230	6	13	function	function	NOUN
ap-2230	6	14	,	,	PUNCT
ap-2230	6	15	regret	regret	PROPN
ap-2230	6	16	matching	matching	NOUN
ap-2230	6	17	.	.	PUNCT
ap-2230	7	1	1	1	X
ap-2230	7	2	.	.	X
ap-2230	7	3	introduction	introduction	NOUN
ap-2230	7	4	monte	monte	PROPN
ap-2230	7	5	carlo	carlo	PROPN
ap-2230	7	6	tree	tree	NOUN
ap-2230	7	7	search	search	NOUN
ap-2230	7	8	(	(	PUNCT
ap-2230	7	9	mcts	mct	NOUN
ap-2230	7	10	)	)	PUNCT
ap-2230	7	11	is	be	AUX
ap-2230	7	12	a	a	DET
ap-2230	7	13	family	family	NOUN
ap-2230	7	14	of	of	ADP
ap-2230	7	15	sample	sample	NOUN
ap-2230	7	16	-	-	PUNCT
ap-2230	7	17	based	base	VERB
ap-2230	7	18	tree	tree	NOUN
ap-2230	7	19	search	search	NOUN
ap-2230	7	20	algorithms	algorithm	NOUN
ap-2230	7	21	that	that	PRON
ap-2230	7	22	has	have	AUX
ap-2230	7	23	recently	recently	ADV
ap-2230	7	24	led	lead	VERB
ap-2230	7	25	to	to	ADP
ap-2230	7	26	a	a	DET
ap-2230	7	27	significant	significant	ADJ
ap-2230	7	28	improvement	improvement	NOUN
ap-2230	7	29	in	in	ADP
ap-2230	7	30	the	the	DET
ap-2230	7	31	quality	quality	NOUN
ap-2230	7	32	of	of	ADP
ap-2230	7	33	stateof	stateof	ADJ
ap-2230	7	34	-	-	PUNCT
ap-2230	7	35	the	the	DET
ap-2230	7	36	-	-	PUNCT
ap-2230	7	37	art	art	NOUN
ap-2230	7	38	solvers	solver	NOUN
ap-2230	7	39	for	for	ADP
ap-2230	7	40	perfect	perfect	ADJ
ap-2230	7	41	information	information	NOUN
ap-2230	7	42	problems	problem	NOUN
ap-2230	7	43	,	,	PUNCT
ap-2230	7	44	such	such	ADJ
ap-2230	7	45	as	as	ADP
ap-2230	7	46	the	the	DET
ap-2230	7	47	game	game	NOUN
ap-2230	7	48	of	of	ADP
ap-2230	7	49	go	go	NOUN
ap-2230	7	50	[	[	X
ap-2230	7	51	1	1	X
ap-2230	7	52	]	]	PUNCT
ap-2230	7	53	or	or	CCONJ
ap-2230	7	54	domain	domain	VERB
ap-2230	7	55	independent	independent	ADJ
ap-2230	7	56	planning	planning	NOUN
ap-2230	7	57	[	[	X
ap-2230	7	58	2	2	NUM
ap-2230	7	59	]	]	PUNCT
ap-2230	7	60	.	.	PUNCT
ap-2230	8	1	the	the	DET
ap-2230	8	2	main	main	ADJ
ap-2230	8	3	idea	idea	NOUN
ap-2230	8	4	of	of	ADP
ap-2230	8	5	monte	monte	PROPN
ap-2230	8	6	carlo	carlo	PROPN
ap-2230	8	7	tree	tree	NOUN
ap-2230	8	8	search	search	NOUN
ap-2230	8	9	is	be	AUX
ap-2230	8	10	to	to	PART
ap-2230	8	11	run	run	VERB
ap-2230	8	12	a	a	DET
ap-2230	8	13	large	large	ADJ
ap-2230	8	14	number	number	NOUN
ap-2230	8	15	of	of	ADP
ap-2230	8	16	randomized	randomized	ADJ
ap-2230	8	17	simulations	simulation	NOUN
ap-2230	8	18	of	of	ADP
ap-2230	8	19	the	the	DET
ap-2230	8	20	problem	problem	NOUN
ap-2230	8	21	and	and	CCONJ
ap-2230	8	22	learn	learn	VERB
ap-2230	8	23	the	the	DET
ap-2230	8	24	best	good	ADJ
ap-2230	8	25	actions	action	NOUN
ap-2230	8	26	to	to	PART
ap-2230	8	27	choose	choose	VERB
ap-2230	8	28	from	from	ADP
ap-2230	8	29	the	the	DET
ap-2230	8	30	experience	experience	NOUN
ap-2230	8	31	.	.	PUNCT
ap-2230	9	1	the	the	DET
ap-2230	9	2	earlier	early	ADJ
ap-2230	9	3	simulations	simulation	NOUN
ap-2230	9	4	are	be	AUX
ap-2230	9	5	generally	generally	ADV
ap-2230	9	6	used	use	VERB
ap-2230	9	7	to	to	PART
ap-2230	9	8	create	create	VERB
ap-2230	9	9	statistics	statistic	NOUN
ap-2230	9	10	that	that	PRON
ap-2230	9	11	help	help	VERB
ap-2230	9	12	to	to	PART
ap-2230	9	13	guide	guide	VERB
ap-2230	9	14	the	the	DET
ap-2230	9	15	later	late	ADJ
ap-2230	9	16	simulations	simulation	NOUN
ap-2230	9	17	to	to	ADP
ap-2230	9	18	more	more	ADV
ap-2230	9	19	important	important	ADJ
ap-2230	9	20	parts	part	NOUN
ap-2230	9	21	of	of	ADP
ap-2230	9	22	the	the	DET
ap-2230	9	23	search	search	NOUN
ap-2230	9	24	space	space	NOUN
ap-2230	9	25	and	and	CCONJ
ap-2230	9	26	decide	decide	VERB
ap-2230	9	27	on	on	ADP
ap-2230	9	28	the	the	DET
ap-2230	9	29	best	good	ADJ
ap-2230	9	30	action	action	NOUN
ap-2230	9	31	to	to	PART
ap-2230	9	32	take	take	VERB
ap-2230	9	33	in	in	ADP
ap-2230	9	34	the	the	DET
ap-2230	9	35	current	current	ADJ
ap-2230	9	36	state	state	NOUN
ap-2230	9	37	of	of	ADP
ap-2230	9	38	the	the	DET
ap-2230	9	39	game	game	NOUN
ap-2230	9	40	.	.	PUNCT
ap-2230	10	1	the	the	DET
ap-2230	10	2	core	core	NOUN
ap-2230	10	3	component	component	NOUN
ap-2230	10	4	of	of	ADP
ap-2230	10	5	the	the	DET
ap-2230	10	6	algorithm	algorithm	NOUN
ap-2230	10	7	determining	determine	VERB
ap-2230	10	8	which	which	DET
ap-2230	10	9	action	action	NOUN
ap-2230	10	10	to	to	PART
ap-2230	10	11	choose	choose	VERB
ap-2230	10	12	next	next	ADV
ap-2230	10	13	and	and	CCONJ
ap-2230	10	14	what	what	PRON
ap-2230	10	15	statistics	statistic	NOUN
ap-2230	10	16	to	to	PART
ap-2230	10	17	collect	collect	VERB
ap-2230	10	18	is	be	AUX
ap-2230	10	19	called	call	VERB
ap-2230	10	20	a	a	DET
ap-2230	10	21	selection	selection	NOUN
ap-2230	10	22	function	function	NOUN
ap-2230	10	23	.	.	PUNCT
ap-2230	11	1	inspired	inspire	VERB
ap-2230	11	2	by	by	ADP
ap-2230	11	3	the	the	DET
ap-2230	11	4	success	success	NOUN
ap-2230	11	5	of	of	ADP
ap-2230	11	6	mcts	mct	NOUN
ap-2230	11	7	in	in	ADP
ap-2230	11	8	perfect	perfect	ADJ
ap-2230	11	9	information	information	NOUN
ap-2230	11	10	games	game	NOUN
ap-2230	11	11	,	,	PUNCT
ap-2230	11	12	the	the	DET
ap-2230	11	13	algorithm	algorithm	NOUN
ap-2230	11	14	has	have	AUX
ap-2230	11	15	recently	recently	ADV
ap-2230	11	16	also	also	ADV
ap-2230	11	17	been	be	AUX
ap-2230	11	18	adapted	adapt	VERB
ap-2230	11	19	for	for	ADP
ap-2230	11	20	imperfect	imperfect	ADJ
ap-2230	11	21	information	information	NOUN
ap-2230	11	22	games	game	NOUN
ap-2230	12	1	[	[	X
ap-2230	12	2	3–5	3–5	X
ap-2230	12	3	]	]	PUNCT
ap-2230	12	4	.	.	PUNCT
ap-2230	13	1	games	game	NOUN
ap-2230	13	2	with	with	ADP
ap-2230	13	3	imperfect	imperfect	ADJ
ap-2230	13	4	information	information	NOUN
ap-2230	13	5	are	be	AUX
ap-2230	13	6	fundamentally	fundamentally	ADV
ap-2230	13	7	more	more	ADV
ap-2230	13	8	complicated	complicated	ADJ
ap-2230	13	9	than	than	ADP
ap-2230	13	10	perfect	perfect	ADJ
ap-2230	13	11	information	information	NOUN
ap-2230	13	12	games	game	NOUN
ap-2230	13	13	,	,	PUNCT
ap-2230	13	14	for	for	ADP
ap-2230	13	15	several	several	ADJ
ap-2230	13	16	reasons	reason	NOUN
ap-2230	13	17	.	.	PUNCT
ap-2230	14	1	the	the	DET
ap-2230	14	2	most	most	ADV
ap-2230	14	3	important	important	ADJ
ap-2230	14	4	complication	complication	NOUN
ap-2230	14	5	is	be	AUX
ap-2230	14	6	that	that	SCONJ
ap-2230	14	7	the	the	DET
ap-2230	14	8	optimal	optimal	ADJ
ap-2230	14	9	strategies	strategy	NOUN
ap-2230	14	10	in	in	ADP
ap-2230	14	11	imperfect	imperfect	ADJ
ap-2230	14	12	information	information	NOUN
ap-2230	14	13	games	game	NOUN
ap-2230	14	14	may	may	AUX
ap-2230	14	15	require	require	VERB
ap-2230	14	16	the	the	DET
ap-2230	14	17	players	player	NOUN
ap-2230	14	18	to	to	PART
ap-2230	14	19	make	make	VERB
ap-2230	14	20	randomized	randomized	ADJ
ap-2230	14	21	decisions	decision	NOUN
ap-2230	14	22	.	.	PUNCT
ap-2230	15	1	for	for	ADP
ap-2230	15	2	example	example	NOUN
ap-2230	15	3	,	,	PUNCT
ap-2230	15	4	in	in	ADP
ap-2230	15	5	the	the	DET
ap-2230	15	6	well	well	ADV
ap-2230	15	7	-	-	PUNCT
ap-2230	15	8	known	know	VERB
ap-2230	15	9	game	game	NOUN
ap-2230	15	10	of	of	ADP
ap-2230	15	11	rock	rock	NOUN
ap-2230	15	12	-	-	PUNCT
ap-2230	15	13	paper	paper	NOUN
ap-2230	15	14	-	-	PUNCT
ap-2230	15	15	scissors	scissor	NOUN
ap-2230	15	16	,	,	PUNCT
ap-2230	15	17	none	none	NOUN
ap-2230	15	18	of	of	ADP
ap-2230	15	19	the	the	DET
ap-2230	15	20	available	available	ADJ
ap-2230	15	21	actions	action	NOUN
ap-2230	15	22	can	can	AUX
ap-2230	15	23	be	be	AUX
ap-2230	15	24	considered	consider	VERB
ap-2230	15	25	optimal	optimal	ADJ
ap-2230	15	26	.	.	PUNCT
ap-2230	16	1	playing	play	VERB
ap-2230	16	2	any	any	PRON
ap-2230	16	3	of	of	ADP
ap-2230	16	4	the	the	DET
ap-2230	16	5	actions	action	NOUN
ap-2230	16	6	all	all	DET
ap-2230	16	7	the	the	DET
ap-2230	16	8	time	time	NOUN
ap-2230	16	9	can	can	AUX
ap-2230	16	10	always	always	ADV
ap-2230	16	11	be	be	AUX
ap-2230	16	12	exploited	exploit	VERB
ap-2230	16	13	by	by	ADP
ap-2230	16	14	the	the	DET
ap-2230	16	15	opponent	opponent	NOUN
ap-2230	16	16	,	,	PUNCT
ap-2230	16	17	and	and	CCONJ
ap-2230	16	18	the	the	DET
ap-2230	16	19	optimal	optimal	ADJ
ap-2230	16	20	strategy	strategy	NOUN
ap-2230	16	21	against	against	ADP
ap-2230	16	22	a	a	DET
ap-2230	16	23	rational	rational	ADJ
ap-2230	16	24	opponent	opponent	NOUN
ap-2230	16	25	is	be	AUX
ap-2230	16	26	to	to	PART
ap-2230	16	27	play	play	VERB
ap-2230	16	28	each	each	DET
ap-2230	16	29	action	action	NOUN
ap-2230	16	30	with	with	ADP
ap-2230	16	31	the	the	DET
ap-2230	16	32	same	same	ADJ
ap-2230	16	33	probability	probability	NOUN
ap-2230	16	34	.	.	PUNCT
ap-2230	17	1	another	another	DET
ap-2230	17	2	important	important	ADJ
ap-2230	17	3	complication	complication	NOUN
ap-2230	17	4	is	be	AUX
ap-2230	17	5	the	the	DET
ap-2230	17	6	strong	strong	ADJ
ap-2230	17	7	inter	inter	NOUN
ap-2230	17	8	-	-	NOUN
ap-2230	17	9	dependency	dependency	NOUN
ap-2230	17	10	between	between	ADP
ap-2230	17	11	the	the	DET
ap-2230	17	12	strategies	strategy	NOUN
ap-2230	17	13	in	in	ADP
ap-2230	17	14	different	different	ADJ
ap-2230	17	15	parts	part	NOUN
ap-2230	17	16	of	of	ADP
ap-2230	17	17	the	the	DET
ap-2230	17	18	game	game	NOUN
ap-2230	17	19	.	.	PUNCT
ap-2230	18	1	a	a	DET
ap-2230	18	2	player	player	NOUN
ap-2230	18	3	often	often	ADV
ap-2230	18	4	does	do	AUX
ap-2230	18	5	not	not	PART
ap-2230	18	6	know	know	VERB
ap-2230	18	7	the	the	DET
ap-2230	18	8	exact	exact	ADJ
ap-2230	18	9	state	state	NOUN
ap-2230	18	10	of	of	ADP
ap-2230	18	11	the	the	DET
ap-2230	18	12	game	game	NOUN
ap-2230	18	13	during	during	ADP
ap-2230	18	14	the	the	DET
ap-2230	18	15	match	match	NOUN
ap-2230	18	16	,	,	PUNCT
ap-2230	18	17	and	and	CCONJ
ap-2230	18	18	the	the	DET
ap-2230	18	19	probability	probability	NOUN
ap-2230	18	20	of	of	ADP
ap-2230	18	21	the	the	DET
ap-2230	18	22	game	game	NOUN
ap-2230	18	23	being	be	AUX
ap-2230	18	24	in	in	ADP
ap-2230	18	25	the	the	DET
ap-2230	18	26	individual	individual	ADJ
ap-2230	18	27	possible	possible	ADJ
ap-2230	18	28	states	state	NOUN
ap-2230	18	29	depends	depend	VERB
ap-2230	18	30	on	on	ADP
ap-2230	18	31	the	the	DET
ap-2230	18	32	opponent	opponent	NOUN
ap-2230	18	33	’s	’s	PART
ap-2230	18	34	strategy	strategy	NOUN
ap-2230	18	35	in	in	ADP
ap-2230	18	36	previous	previous	ADJ
ap-2230	18	37	decisions	decision	NOUN
ap-2230	18	38	in	in	ADP
ap-2230	18	39	the	the	DET
ap-2230	18	40	game	game	NOUN
ap-2230	18	41	,	,	PUNCT
ap-2230	18	42	which	which	PRON
ap-2230	18	43	can	can	AUX
ap-2230	18	44	depend	depend	VERB
ap-2230	18	45	on	on	ADP
ap-2230	18	46	the	the	DET
ap-2230	18	47	optimal	optimal	ADJ
ap-2230	18	48	strategy	strategy	NOUN
ap-2230	18	49	in	in	ADP
ap-2230	18	50	any	any	DET
ap-2230	18	51	other	other	ADJ
ap-2230	18	52	decision	decision	NOUN
ap-2230	18	53	in	in	ADP
ap-2230	18	54	the	the	DET
ap-2230	18	55	game	game	NOUN
ap-2230	18	56	.	.	PUNCT
ap-2230	19	1	game	game	NOUN
ap-2230	19	2	theory	theory	NOUN
ap-2230	19	3	provides	provide	VERB
ap-2230	19	4	means	mean	NOUN
ap-2230	19	5	to	to	PART
ap-2230	19	6	deal	deal	VERB
ap-2230	19	7	with	with	ADP
ap-2230	19	8	all	all	DET
ap-2230	19	9	these	these	DET
ap-2230	19	10	complications	complication	NOUN
ap-2230	19	11	,	,	PUNCT
ap-2230	19	12	but	but	CCONJ
ap-2230	19	13	previous	previous	ADJ
ap-2230	19	14	attempts	attempt	NOUN
ap-2230	19	15	to	to	PART
ap-2230	19	16	adapt	adapt	VERB
ap-2230	19	17	mcts	mct	NOUN
ap-2230	19	18	to	to	PART
ap-2230	19	19	imperfect	imperfect	ADJ
ap-2230	19	20	information	information	NOUN
ap-2230	19	21	games	game	NOUN
ap-2230	19	22	generally	generally	ADV
ap-2230	19	23	did	do	AUX
ap-2230	19	24	not	not	PART
ap-2230	19	25	evaluate	evaluate	VERB
ap-2230	19	26	the	the	DET
ap-2230	19	27	properties	property	NOUN
ap-2230	19	28	of	of	ADP
ap-2230	19	29	the	the	DET
ap-2230	19	30	strategies	strategy	NOUN
ap-2230	19	31	from	from	ADP
ap-2230	19	32	the	the	DET
ap-2230	19	33	perspective	perspective	NOUN
ap-2230	19	34	of	of	ADP
ap-2230	19	35	game	game	NOUN
ap-2230	19	36	theory	theory	NOUN
ap-2230	19	37	.	.	PUNCT
ap-2230	20	1	the	the	DET
ap-2230	20	2	algorithms	algorithm	NOUN
ap-2230	20	3	were	be	AUX
ap-2230	20	4	developed	develop	VERB
ap-2230	20	5	mainly	mainly	ADV
ap-2230	20	6	on	on	ADP
ap-2230	20	7	the	the	DET
ap-2230	20	8	basis	basis	NOUN
ap-2230	20	9	of	of	ADP
ap-2230	20	10	heuristics	heuristic	NOUN
ap-2230	20	11	and	and	CCONJ
ap-2230	20	12	analogies	analogy	NOUN
ap-2230	20	13	with	with	ADP
ap-2230	20	14	the	the	DET
ap-2230	20	15	perfect	perfect	ADJ
ap-2230	20	16	information	information	NOUN
ap-2230	20	17	case	case	NOUN
ap-2230	20	18	.	.	PUNCT
ap-2230	21	1	in	in	ADP
ap-2230	21	2	this	this	DET
ap-2230	21	3	paper	paper	NOUN
ap-2230	21	4	,	,	PUNCT
ap-2230	21	5	we	we	PRON
ap-2230	21	6	analyze	analyze	VERB
ap-2230	21	7	various	various	ADJ
ap-2230	21	8	selection	selection	NOUN
ap-2230	21	9	functions	function	NOUN
ap-2230	21	10	in	in	ADP
ap-2230	21	11	information	information	NOUN
ap-2230	21	12	set	set	VERB
ap-2230	21	13	monte	monte	PROPN
ap-2230	21	14	carlo	carlo	PROPN
ap-2230	21	15	tree	tree	NOUN
ap-2230	21	16	search	search	NOUN
ap-2230	21	17	(	(	PUNCT
ap-2230	21	18	is	be	AUX
ap-2230	21	19	-	-	PUNCT
ap-2230	21	20	mcts	mct	NOUN
ap-2230	21	21	)	)	PUNCT
ap-2230	22	1	[	[	X
ap-2230	22	2	3	3	NUM
ap-2230	22	3	]	]	PUNCT
ap-2230	22	4	.	.	PUNCT
ap-2230	23	1	we	we	PRON
ap-2230	23	2	show	show	VERB
ap-2230	23	3	that	that	SCONJ
ap-2230	23	4	the	the	DET
ap-2230	23	5	most	most	ADV
ap-2230	23	6	commonly	commonly	ADV
ap-2230	23	7	used	use	VERB
ap-2230	23	8	selection	selection	NOUN
ap-2230	23	9	function	function	NOUN
ap-2230	23	10	–	–	PUNCT
ap-2230	23	11	uct	uct	PROPN
ap-2230	23	12	(	(	PUNCT
ap-2230	23	13	[	[	X
ap-2230	23	14	6	6	NUM
ap-2230	23	15	]	]	NUM
ap-2230	23	16	)	)	PUNCT
ap-2230	23	17	–	–	PUNCT
ap-2230	23	18	does	do	AUX
ap-2230	23	19	not	not	PART
ap-2230	23	20	allow	allow	VERB
ap-2230	23	21	the	the	DET
ap-2230	23	22	algorithm	algorithm	NOUN
ap-2230	23	23	to	to	PART
ap-2230	23	24	converge	converge	VERB
ap-2230	23	25	to	to	ADP
ap-2230	23	26	good	good	ADJ
ap-2230	23	27	strategies	strategy	NOUN
ap-2230	23	28	,	,	PUNCT
ap-2230	23	29	and	and	CCONJ
ap-2230	23	30	even	even	ADV
ap-2230	23	31	causes	cause	VERB
ap-2230	23	32	the	the	DET
ap-2230	23	33	strategies	strategy	NOUN
ap-2230	23	34	to	to	PART
ap-2230	23	35	get	get	VERB
ap-2230	23	36	worse	bad	ADJ
ap-2230	23	37	with	with	ADP
ap-2230	23	38	more	more	ADJ
ap-2230	23	39	computation	computation	NOUN
ap-2230	23	40	time	time	NOUN
ap-2230	23	41	.	.	PUNCT
ap-2230	24	1	we	we	PRON
ap-2230	24	2	further	far	ADV
ap-2230	24	3	evaluate	evaluate	VERB
ap-2230	24	4	two	two	NUM
ap-2230	24	5	additional	additional	ADJ
ap-2230	24	6	selection	selection	NOUN
ap-2230	24	7	functions	function	NOUN
ap-2230	24	8	.	.	PUNCT
ap-2230	25	1	exp3	exp3	PROPN
ap-2230	26	1	[	[	X
ap-2230	26	2	7	7	NUM
ap-2230	26	3	]	]	PUNCT
ap-2230	26	4	,	,	PUNCT
ap-2230	26	5	which	which	PRON
ap-2230	26	6	has	have	AUX
ap-2230	26	7	previously	previously	ADV
ap-2230	26	8	been	be	AUX
ap-2230	26	9	used	use	VERB
ap-2230	26	10	in	in	ADP
ap-2230	26	11	mcts	mct	NOUN
ap-2230	26	12	mainly	mainly	ADV
ap-2230	26	13	to	to	PART
ap-2230	26	14	handle	handle	VERB
ap-2230	26	15	simultaneous	simultaneous	ADJ
ap-2230	26	16	moves	move	NOUN
ap-2230	27	1	[	[	X
ap-2230	27	2	3	3	NUM
ap-2230	27	3	,	,	PUNCT
ap-2230	27	4	8	8	NUM
ap-2230	27	5	,	,	PUNCT
ap-2230	27	6	9	9	NUM
ap-2230	27	7	]	]	PUNCT
ap-2230	27	8	,	,	PUNCT
ap-2230	27	9	and	and	CCONJ
ap-2230	27	10	regret	regret	VERB
ap-2230	27	11	matching	match	VERB
ap-2230	27	12	[	[	X
ap-2230	27	13	10	10	NUM
ap-2230	27	14	]	]	PUNCT
ap-2230	27	15	,	,	PUNCT
ap-2230	27	16	previously	previously	ADV
ap-2230	27	17	evaluated	evaluate	VERB
ap-2230	27	18	in	in	ADP
ap-2230	27	19	the	the	DET
ap-2230	27	20	context	context	NOUN
ap-2230	27	21	of	of	ADP
ap-2230	27	22	simultaneous	simultaneous	ADJ
ap-2230	27	23	move	move	NOUN
ap-2230	27	24	games	game	NOUN
ap-2230	28	1	[	[	X
ap-2230	28	2	9	9	NUM
ap-2230	28	3	]	]	PUNCT
ap-2230	28	4	,	,	PUNCT
ap-2230	28	5	but	but	CCONJ
ap-2230	28	6	never	never	ADV
ap-2230	28	7	used	use	VERB
ap-2230	28	8	for	for	ADP
ap-2230	28	9	mcts	mct	NOUN
ap-2230	28	10	in	in	ADP
ap-2230	28	11	generic	generic	ADJ
ap-2230	28	12	imperfect	imperfect	ADJ
ap-2230	28	13	information	information	NOUN
ap-2230	28	14	games	game	NOUN
ap-2230	28	15	.	.	PUNCT
ap-2230	29	1	in	in	ADP
ap-2230	29	2	an	an	DET
ap-2230	29	3	imperfect	imperfect	ADJ
ap-2230	29	4	information	information	NOUN
ap-2230	29	5	variant	variant	NOUN
ap-2230	29	6	of	of	ADP
ap-2230	29	7	the	the	DET
ap-2230	29	8	game	game	NOUN
ap-2230	29	9	of	of	ADP
ap-2230	29	10	goofspiel	goofspiel	NOUN
ap-2230	29	11	and	and	CCONJ
ap-2230	29	12	phantom	phantom	ADJ
ap-2230	29	13	tic	tic	ADJ
ap-2230	29	14	-	-	PUNCT
ap-2230	29	15	tac	tac	NOUN
ap-2230	29	16	-	-	PUNCT
ap-2230	29	17	toe	toe	NOUN
ap-2230	29	18	,	,	PUNCT
ap-2230	29	19	we	we	PRON
ap-2230	29	20	show	show	VERB
ap-2230	29	21	that	that	SCONJ
ap-2230	29	22	these	these	DET
ap-2230	29	23	alternative	alternative	ADJ
ap-2230	29	24	selection	selection	NOUN
ap-2230	29	25	strategies	strategy	NOUN
ap-2230	29	26	allow	allow	VERB
ap-2230	29	27	is	be	AUX
ap-2230	29	28	-	-	PUNCT
ap-2230	29	29	mcts	mct	NOUN
ap-2230	29	30	to	to	PART
ap-2230	29	31	converge	converge	VERB
ap-2230	29	32	closer	close	ADV
ap-2230	29	33	to	to	ADP
ap-2230	29	34	the	the	DET
ap-2230	29	35	nash	nash	ADJ
ap-2230	29	36	equilibrium	equilibrium	NOUN
ap-2230	29	37	strategy	strategy	NOUN
ap-2230	29	38	and	and	CCONJ
ap-2230	29	39	perform	perform	VERB
ap-2230	29	40	better	well	ADV
ap-2230	29	41	in	in	ADP
ap-2230	29	42	mutual	mutual	ADJ
ap-2230	29	43	matches	match	NOUN
ap-2230	29	44	.	.	PUNCT
ap-2230	30	1	the	the	DET
ap-2230	30	2	following	follow	VERB
ap-2230	30	3	section	section	NOUN
ap-2230	30	4	introduces	introduce	VERB
ap-2230	30	5	the	the	DET
ap-2230	30	6	basic	basic	ADJ
ap-2230	30	7	gametheoretic	gametheoretic	ADJ
ap-2230	30	8	concepts	concept	NOUN
ap-2230	30	9	necessary	necessary	ADJ
ap-2230	30	10	to	to	PART
ap-2230	30	11	describe	describe	VERB
ap-2230	30	12	the	the	DET
ap-2230	30	13	is	be	AUX
ap-2230	30	14	-	-	PUNCT
ap-2230	30	15	mcts	mct	NOUN
ap-2230	30	16	algorithm	algorithm	NOUN
ap-2230	30	17	along	along	ADP
ap-2230	30	18	with	with	ADP
ap-2230	30	19	the	the	DET
ap-2230	30	20	existing	exist	VERB
ap-2230	30	21	and	and	CCONJ
ap-2230	30	22	novel	novel	NOUN
ap-2230	30	23	selection	selection	NOUN
ap-2230	30	24	functions	function	NOUN
ap-2230	30	25	in	in	ADP
ap-2230	30	26	section	section	NOUN
ap-2230	30	27	3	3	NUM
ap-2230	30	28	.	.	NOUN
ap-2230	31	1	afterwards	afterwards	ADV
ap-2230	31	2	,	,	PUNCT
ap-2230	31	3	we	we	PRON
ap-2230	31	4	continue	continue	VERB
ap-2230	31	5	with	with	ADP
ap-2230	31	6	an	an	DET
ap-2230	31	7	experimental	experimental	ADJ
ap-2230	31	8	evaluation	evaluation	NOUN
ap-2230	31	9	in	in	ADP
ap-2230	31	10	section	section	NOUN
ap-2230	31	11	4	4	NUM
ap-2230	31	12	,	,	PUNCT
ap-2230	31	13	and	and	CCONJ
ap-2230	31	14	then	then	ADV
ap-2230	31	15	we	we	PRON
ap-2230	31	16	conclude	conclude	VERB
ap-2230	31	17	the	the	DET
ap-2230	31	18	paper	paper	NOUN
ap-2230	31	19	.	.	PUNCT
ap-2230	32	1	2	2	X
ap-2230	32	2	.	.	X
ap-2230	32	3	definitions	definition	NOUN
ap-2230	32	4	and	and	CCONJ
ap-2230	32	5	background	background	NOUN
ap-2230	32	6	we	we	PRON
ap-2230	32	7	focus	focus	VERB
ap-2230	32	8	on	on	ADP
ap-2230	32	9	domains	domain	NOUN
ap-2230	32	10	that	that	PRON
ap-2230	32	11	can	can	AUX
ap-2230	32	12	be	be	AUX
ap-2230	32	13	modelled	model	VERB
ap-2230	32	14	as	as	ADP
ap-2230	32	15	twoplayer	twoplayer	NOUN
ap-2230	32	16	zero	zero	NUM
ap-2230	32	17	-	-	PUNCT
ap-2230	32	18	sum	sum	NOUN
ap-2230	32	19	extensive	extensive	ADJ
ap-2230	32	20	-	-	PUNCT
ap-2230	32	21	form	form	NOUN
ap-2230	32	22	imperfect	imperfect	ADJ
ap-2230	32	23	-	-	PUNCT
ap-2230	32	24	information	information	NOUN
ap-2230	32	25	games	game	NOUN
ap-2230	32	26	.	.	PUNCT
ap-2230	33	1	2.1	2.1	NUM
ap-2230	33	2	.	.	PUNCT
ap-2230	34	1	extensive	extensive	ADJ
ap-2230	34	2	form	form	NOUN
ap-2230	34	3	games	game	NOUN
ap-2230	34	4	we	we	PRON
ap-2230	34	5	adapt	adapt	VERB
ap-2230	34	6	the	the	DET
ap-2230	34	7	definition	definition	NOUN
ap-2230	34	8	of	of	ADP
ap-2230	34	9	the	the	DET
ap-2230	34	10	extensive	extensive	ADJ
ap-2230	34	11	-	-	PUNCT
ap-2230	34	12	form	form	NOUN
ap-2230	34	13	game	game	NOUN
ap-2230	34	14	(	(	PUNCT
ap-2230	34	15	efg	efg	NOUN
ap-2230	34	16	)	)	PUNCT
ap-2230	34	17	from	from	ADP
ap-2230	34	18	[	[	X
ap-2230	34	19	11	11	NUM
ap-2230	34	20	]	]	PUNCT
ap-2230	34	21	.	.	PUNCT
ap-2230	35	1	333	333	NUM
ap-2230	35	2	http://dx.doi.org/10.14311/ap.2014.54.0333	http://dx.doi.org/10.14311/ap.2014.54.0333	AUX
ap-2230	35	3	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	AUX
ap-2230	35	4	viliam	viliam	VERB
ap-2230	35	5	lisý	lisý	PROPN
ap-2230	35	6	acta	acta	PROPN
ap-2230	35	7	polytechnica	polytechnica	PROPN
ap-2230	35	8	3	3	NUM
ap-2230	35	9	c	c	NOUN
ap-2230	35	10	2	2	NUM
ap-2230	35	11	d	d	NOUN
ap-2230	35	12	c	c	NOUN
ap-2230	35	13	-1	-1	NOUN
ap-2230	35	14	e	e	PROPN
ap-2230	35	15	4	4	NUM
ap-2230	35	16	f	f	NOUN
ap-2230	35	17	d	d	NOUN
ap-2230	35	18	a	a	PRON
ap-2230	35	19	-2	-2	NOUN
ap-2230	35	20	g	g	NOUN
ap-2230	35	21	1	1	NUM
ap-2230	35	22	h	h	NOUN
ap-2230	35	23	c	c	NOUN
ap-2230	35	24	4	4	NUM
ap-2230	35	25	g	g	PART
ap-2230	35	26	2	2	NUM
ap-2230	35	27	h	h	NOUN
ap-2230	35	28	d	d	NOUN
ap-2230	35	29	b	b	PROPN
ap-2230	35	30	a	a	DET
ap-2230	35	31	1	1	NUM
ap-2230	35	32	g	g	NOUN
ap-2230	35	33	2	2	NUM
ap-2230	35	34	h	h	NOUN
ap-2230	35	35	e	e	NOUN
ap-2230	35	36	-2	-2	NOUN
ap-2230	35	37	g	g	PROPN
ap-2230	36	1	-1	-1	INTJ
ap-2230	36	2	h	h	PROPN
ap-2230	37	1	f	f	PROPN
ap-2230	37	2	b	b	PROPN
ap-2230	37	3	0	0	NUM
ap-2230	38	1	i	i	NOUN
ap-2230	38	2	1	1	NUM
ap-2230	38	3	j	j	NOUN
ap-2230	38	4	g	g	PROPN
ap-2230	38	5	2	2	NUM
ap-2230	38	6	i	i	NOUN
ap-2230	38	7	3	3	NUM
ap-2230	38	8	j	j	NOUN
ap-2230	38	9	h	h	NOUN
ap-2230	38	10	a	a	PRON
ap-2230	38	11	b	b	NUM
ap-2230	38	12	figure	figure	NOUN
ap-2230	38	13	1	1	NUM
ap-2230	38	14	.	.	NOUN
ap-2230	38	15	example	example	NOUN
ap-2230	38	16	of	of	ADP
ap-2230	38	17	a	a	DET
ap-2230	38	18	zero	zero	NUM
ap-2230	38	19	-	-	PUNCT
ap-2230	38	20	sum	sum	NOUN
ap-2230	38	21	imperfect	imperfect	ADJ
ap-2230	38	22	-	-	PUNCT
ap-2230	38	23	information	information	NOUN
ap-2230	38	24	extensive	extensive	ADJ
ap-2230	38	25	-	-	PUNCT
ap-2230	38	26	form	form	NOUN
ap-2230	38	27	game	game	NOUN
ap-2230	38	28	.	.	PUNCT
ap-2230	39	1	definition	definition	NOUN
ap-2230	39	2	1	1	NUM
ap-2230	39	3	(	(	PUNCT
ap-2230	39	4	extensive	extensive	ADJ
ap-2230	39	5	-	-	PUNCT
ap-2230	39	6	form	form	NOUN
ap-2230	39	7	game	game	NOUN
ap-2230	39	8	)	)	PUNCT
ap-2230	39	9	.	.	PUNCT
ap-2230	40	1	an	an	DET
ap-2230	40	2	extensive	extensive	ADJ
ap-2230	40	3	form	form	NOUN
ap-2230	40	4	game	game	NOUN
ap-2230	40	5	with	with	ADP
ap-2230	40	6	imperfect	imperfect	ADJ
ap-2230	40	7	information	information	NOUN
ap-2230	40	8	consists	consist	VERB
ap-2230	40	9	of	of	ADP
ap-2230	40	10	:	:	PUNCT
ap-2230	40	11	•	•	NUM
ap-2230	40	12	n	n	PRON
ap-2230	40	13	is	be	AUX
ap-2230	40	14	the	the	DET
ap-2230	40	15	set	set	NOUN
ap-2230	40	16	of	of	ADP
ap-2230	40	17	players	player	NOUN
ap-2230	40	18	including	include	VERB
ap-2230	40	19	the	the	DET
ap-2230	40	20	nature	nature	NOUN
ap-2230	40	21	player	player	NOUN
ap-2230	40	22	(	(	PUNCT
ap-2230	40	23	c	c	NOUN
ap-2230	40	24	)	)	PUNCT
ap-2230	40	25	that	that	PRON
ap-2230	40	26	represents	represent	VERB
ap-2230	40	27	the	the	DET
ap-2230	40	28	dynamics	dynamic	NOUN
ap-2230	40	29	of	of	ADP
ap-2230	40	30	the	the	DET
ap-2230	40	31	game	game	NOUN
ap-2230	40	32	;	;	PUNCT
ap-2230	40	33	•	•	ADP
ap-2230	40	34	for	for	ADP
ap-2230	40	35	each	each	DET
ap-2230	40	36	i	i	PRON
ap-2230	40	37	∈	∈	PROPN
ap-2230	40	38	n	n	X
ap-2230	40	39	,	,	PUNCT
ap-2230	40	40	ai	ai	VERB
ap-2230	40	41	is	be	AUX
ap-2230	40	42	the	the	DET
ap-2230	40	43	set	set	NOUN
ap-2230	40	44	of	of	ADP
ap-2230	40	45	actions	action	NOUN
ap-2230	40	46	available	available	ADJ
ap-2230	40	47	to	to	ADP
ap-2230	40	48	player	player	PROPN
ap-2230	40	49	i	i	PRON
ap-2230	40	50	;	;	PUNCT
ap-2230	40	51	•	•	NUM
ap-2230	40	52	h	h	NOUN
ap-2230	40	53	is	be	AUX
ap-2230	40	54	the	the	DET
ap-2230	40	55	set	set	NOUN
ap-2230	40	56	of	of	ADP
ap-2230	40	57	possible	possible	ADJ
ap-2230	40	58	states	state	NOUN
ap-2230	40	59	of	of	ADP
ap-2230	40	60	the	the	DET
ap-2230	40	61	game	game	NOUN
ap-2230	40	62	,	,	PUNCT
ap-2230	40	63	each	each	PRON
ap-2230	40	64	corresponding	correspond	VERB
ap-2230	40	65	to	to	ADP
ap-2230	40	66	a	a	DET
ap-2230	40	67	history	history	NOUN
ap-2230	40	68	of	of	ADP
ap-2230	40	69	actions	action	NOUN
ap-2230	40	70	performed	perform	VERB
ap-2230	40	71	by	by	ADP
ap-2230	40	72	all	all	DET
ap-2230	40	73	players	player	NOUN
ap-2230	40	74	;	;	PUNCT
ap-2230	40	75	•	•	NOUN
ap-2230	40	76	z	z	NOUN
ap-2230	40	77	⊆	⊆	NUM
ap-2230	40	78	h	h	NOUN
ap-2230	40	79	is	be	AUX
ap-2230	40	80	the	the	DET
ap-2230	40	81	set	set	NOUN
ap-2230	40	82	of	of	ADP
ap-2230	40	83	terminal	terminal	ADJ
ap-2230	40	84	game	game	NOUN
ap-2230	40	85	states	state	NOUN
ap-2230	40	86	or	or	CCONJ
ap-2230	40	87	histories	history	NOUN
ap-2230	40	88	;	;	PUNCT
ap-2230	40	89	•	•	PRON
ap-2230	40	90	p	p	X
ap-2230	40	91	:	:	PUNCT
ap-2230	40	92	h	h	NOUN
ap-2230	40	93	\	\	PROPN
ap-2230	40	94	z	z	PROPN
ap-2230	40	95	→	→	SYM
ap-2230	40	96	n	n	X
ap-2230	40	97	is	be	AUX
ap-2230	40	98	a	a	DET
ap-2230	40	99	function	function	NOUN
ap-2230	40	100	assigning	assign	VERB
ap-2230	40	101	to	to	ADP
ap-2230	40	102	each	each	DET
ap-2230	40	103	non	non	ADJ
ap-2230	40	104	-	-	ADJ
ap-2230	40	105	terminal	terminal	ADJ
ap-2230	40	106	state	state	NOUN
ap-2230	40	107	a	a	DET
ap-2230	40	108	player	player	NOUN
ap-2230	40	109	that	that	PRON
ap-2230	40	110	selects	select	VERB
ap-2230	40	111	an	an	DET
ap-2230	40	112	action	action	NOUN
ap-2230	40	113	in	in	ADP
ap-2230	40	114	the	the	DET
ap-2230	40	115	state	state	NOUN
ap-2230	40	116	;	;	PUNCT
ap-2230	40	117	•	•	PRON
ap-2230	40	118	a	a	PRON
ap-2230	40	119	:	:	PUNCT
ap-2230	40	120	h	h	NOUN
ap-2230	40	121	\	\	PROPN
ap-2230	41	1	z	z	PROPN
ap-2230	42	1	→	→	SYM
ap-2230	42	2	2ai	2ai	ADJ
ap-2230	42	3	is	be	AUX
ap-2230	42	4	a	a	DET
ap-2230	42	5	function	function	NOUN
ap-2230	42	6	assigning	assign	VERB
ap-2230	42	7	to	to	ADP
ap-2230	42	8	each	each	DET
ap-2230	42	9	non	non	ADJ
ap-2230	42	10	-	-	ADJ
ap-2230	42	11	terminal	terminal	ADJ
ap-2230	42	12	game	game	NOUN
ap-2230	42	13	state	state	NOUN
ap-2230	42	14	the	the	DET
ap-2230	42	15	actions	action	NOUN
ap-2230	42	16	applicable	applicable	ADJ
ap-2230	42	17	by	by	ADP
ap-2230	42	18	the	the	DET
ap-2230	42	19	acting	act	VERB
ap-2230	42	20	player	player	NOUN
ap-2230	42	21	;	;	PUNCT
ap-2230	42	22	•	•	NUM
ap-2230	42	23	t	t	NOUN
ap-2230	42	24	:	:	PUNCT
ap-2230	42	25	h	h	PROPN
ap-2230	42	26	×	×	NOUN
ap-2230	42	27	ai	ai	VERB
ap-2230	42	28	→	→	SYM
ap-2230	42	29	h	h	NOUN
ap-2230	42	30	∪	∪	NOUN
ap-2230	42	31	z	z	NOUN
ap-2230	42	32	is	be	AUX
ap-2230	42	33	the	the	DET
ap-2230	42	34	transition	transition	NOUN
ap-2230	42	35	function	function	NOUN
ap-2230	42	36	realizing	realize	VERB
ap-2230	42	37	one	one	NUM
ap-2230	42	38	move	move	NOUN
ap-2230	42	39	of	of	ADP
ap-2230	42	40	the	the	DET
ap-2230	42	41	game	game	NOUN
ap-2230	42	42	;	;	PUNCT
ap-2230	42	43	•	•	ADP
ap-2230	42	44	ui	ui	NOUN
ap-2230	42	45	:	:	PUNCT
ap-2230	43	1	z	z	X
ap-2230	43	2	→	→	SYM
ap-2230	43	3	r	r	NOUN
ap-2230	43	4	for	for	ADP
ap-2230	43	5	each	each	DET
ap-2230	43	6	i	i	PRON
ap-2230	43	7	∈	∈	PROPN
ap-2230	43	8	n	n	CCONJ
ap-2230	43	9	\	\	NOUN
ap-2230	43	10	{	{	PUNCT
ap-2230	43	11	c	c	NOUN
ap-2230	43	12	}	}	PUNCT
ap-2230	43	13	are	be	AUX
ap-2230	43	14	the	the	DET
ap-2230	43	15	utility	utility	NOUN
ap-2230	43	16	functions	function	NOUN
ap-2230	43	17	of	of	ADP
ap-2230	43	18	the	the	DET
ap-2230	43	19	players	player	NOUN
ap-2230	43	20	defined	define	VERB
ap-2230	43	21	only	only	ADV
ap-2230	43	22	on	on	ADP
ap-2230	43	23	the	the	DET
ap-2230	43	24	terminal	terminal	ADJ
ap-2230	43	25	states	state	NOUN
ap-2230	43	26	of	of	ADP
ap-2230	43	27	the	the	DET
ap-2230	43	28	game	game	NOUN
ap-2230	43	29	;	;	PUNCT
ap-2230	43	30	•	•	NUM
ap-2230	43	31	ii	ii	NOUN
ap-2230	43	32	for	for	ADP
ap-2230	43	33	player	player	NOUN
ap-2230	43	34	i	i	PRON
ap-2230	43	35	represents	represent	VERB
ap-2230	43	36	the	the	DET
ap-2230	43	37	player	player	NOUN
ap-2230	43	38	’s	’s	PART
ap-2230	43	39	imperfect	imperfect	ADJ
ap-2230	43	40	information	information	NOUN
ap-2230	43	41	about	about	ADP
ap-2230	43	42	the	the	DET
ap-2230	43	43	game	game	NOUN
ap-2230	43	44	.	.	PUNCT
ap-2230	44	1	it	it	PRON
ap-2230	44	2	is	be	AUX
ap-2230	44	3	a	a	DET
ap-2230	44	4	partition	partition	NOUN
ap-2230	44	5	of	of	ADP
ap-2230	44	6	hi	hi	ADJ
ap-2230	44	7	=	=	SYM
ap-2230	44	8	{	{	PUNCT
ap-2230	44	9	h	h	NOUN
ap-2230	44	10	∈	∈	PROPN
ap-2230	44	11	h	h	NOUN
ap-2230	44	12	:	:	PUNCT
ap-2230	44	13	p(h	p(h	NOUN
ap-2230	44	14	)	)	PUNCT
ap-2230	45	1	=	=	SYM
ap-2230	45	2	i	i	PRON
ap-2230	45	3	}	}	PUNCT
ap-2230	45	4	termed	term	VERB
ap-2230	45	5	information	information	NOUN
ap-2230	45	6	sets	set	NOUN
ap-2230	45	7	.	.	PUNCT
ap-2230	46	1	each	each	DET
ap-2230	46	2	information	information	NOUN
ap-2230	46	3	set	set	VERB
ap-2230	46	4	i	i	PRON
ap-2230	46	5	∈	∈	PROPN
ap-2230	46	6	ii	ii	NOUN
ap-2230	46	7	represents	represent	VERB
ap-2230	46	8	the	the	DET
ap-2230	46	9	set	set	NOUN
ap-2230	46	10	of	of	ADP
ap-2230	46	11	histories	history	NOUN
ap-2230	46	12	that	that	PRON
ap-2230	46	13	are	be	AUX
ap-2230	46	14	indistinguishable	indistinguishable	ADJ
ap-2230	46	15	for	for	ADP
ap-2230	46	16	player	player	NOUN
ap-2230	46	17	i.	i.	NOUN
ap-2230	46	18	therefore	therefore	ADV
ap-2230	46	19	,	,	PUNCT
ap-2230	46	20	we	we	PRON
ap-2230	46	21	naturally	naturally	ADV
ap-2230	46	22	extend	extend	VERB
ap-2230	46	23	a(i	a(i	NOUN
ap-2230	46	24	)	)	PUNCT
ap-2230	47	1	=	=	SYM
ap-2230	47	2	a(h	a(h	PROPN
ap-2230	47	3	)	)	PUNCT
ap-2230	47	4	for	for	ADP
ap-2230	47	5	some	some	DET
ap-2230	47	6	h	h	NOUN
ap-2230	47	7	∈	∈	PROPN
ap-2230	47	8	i.	i.	NOUN
ap-2230	47	9	the	the	DET
ap-2230	47	10	game	game	NOUN
ap-2230	47	11	starts	start	VERB
ap-2230	47	12	with	with	ADP
ap-2230	47	13	the	the	DET
ap-2230	47	14	empty	empty	ADJ
ap-2230	47	15	history	history	NOUN
ap-2230	47	16	∅.	∅.	NOUN
ap-2230	47	17	in	in	ADP
ap-2230	47	18	each	each	DET
ap-2230	47	19	history	history	NOUN
ap-2230	47	20	h	h	NOUN
ap-2230	47	21	,	,	PUNCT
ap-2230	47	22	player	player	NOUN
ap-2230	47	23	p	p	PROPN
ap-2230	47	24	(	(	PUNCT
ap-2230	47	25	h	h	NOUN
ap-2230	47	26	)	)	PUNCT
ap-2230	47	27	selects	select	VERB
ap-2230	47	28	an	an	DET
ap-2230	47	29	action	action	NOUN
ap-2230	47	30	a	a	DET
ap-2230	47	31	∈	∈	PROPN
ap-2230	47	32	a(h	a(h	PROPN
ap-2230	47	33	)	)	PUNCT
ap-2230	47	34	.	.	PUNCT
ap-2230	48	1	after	after	SCONJ
ap-2230	48	2	the	the	DET
ap-2230	48	3	action	action	NOUN
ap-2230	48	4	is	be	AUX
ap-2230	48	5	performed	perform	VERB
ap-2230	48	6	,	,	PUNCT
ap-2230	48	7	the	the	DET
ap-2230	48	8	game	game	NOUN
ap-2230	48	9	proceeds	proceed	VERB
ap-2230	48	10	to	to	ADP
ap-2230	48	11	history	history	NOUN
ap-2230	48	12	h′	h′	X
ap-2230	48	13	=	=	SYM
ap-2230	48	14	t	t	PROPN
ap-2230	48	15	(	(	PUNCT
ap-2230	48	16	h	h	NOUN
ap-2230	48	17	,	,	PUNCT
ap-2230	48	18	a	a	PRON
ap-2230	48	19	)	)	PUNCT
ap-2230	48	20	,	,	PUNCT
ap-2230	48	21	often	often	ADV
ap-2230	48	22	also	also	ADV
ap-2230	48	23	denoted	denote	VERB
ap-2230	48	24	ha	ha	INTJ
ap-2230	48	25	.	.	PUNCT
ap-2230	49	1	the	the	DET
ap-2230	49	2	game	game	NOUN
ap-2230	49	3	ends	end	VERB
ap-2230	49	4	when	when	SCONJ
ap-2230	49	5	it	it	PRON
ap-2230	49	6	reaches	reach	VERB
ap-2230	49	7	a	a	DET
ap-2230	49	8	terminal	terminal	ADJ
ap-2230	49	9	history	history	NOUN
ap-2230	50	1	h	h	PROPN
ap-2230	50	2	∈	∈	PROPN
ap-2230	50	3	z.	z.	PROPN
ap-2230	50	4	each	each	DET
ap-2230	50	5	player	player	NOUN
ap-2230	50	6	i	i	PRON
ap-2230	50	7	∈	∈	PROPN
ap-2230	50	8	n	n	PRON
ap-2230	50	9	receives	receive	VERB
ap-2230	50	10	the	the	DET
ap-2230	50	11	payoff	payoff	NOUN
ap-2230	50	12	ui(h	ui(h	NOUN
ap-2230	50	13	)	)	PUNCT
ap-2230	50	14	.	.	PUNCT
ap-2230	51	1	a	a	DET
ap-2230	51	2	zero	zero	NUM
ap-2230	51	3	-	-	PUNCT
ap-2230	51	4	sum	sum	NOUN
ap-2230	51	5	game	game	NOUN
ap-2230	51	6	is	be	AUX
ap-2230	51	7	a	a	DET
ap-2230	51	8	two	two	NUM
ap-2230	51	9	player	player	NOUN
ap-2230	51	10	game	game	NOUN
ap-2230	51	11	(	(	PUNCT
ap-2230	51	12	|n	|n	PROPN
ap-2230	51	13	\	\	PROPN
ap-2230	51	14	{	{	PUNCT
ap-2230	51	15	c}|	c}|	NOUN
ap-2230	51	16	=	=	SYM
ap-2230	51	17	2	2	NUM
ap-2230	51	18	)	)	PUNCT
ap-2230	51	19	,	,	PUNCT
ap-2230	51	20	such	such	ADJ
ap-2230	51	21	that	that	PRON
ap-2230	51	22	for	for	ADP
ap-2230	51	23	each	each	DET
ap-2230	51	24	terminal	terminal	ADJ
ap-2230	51	25	history	history	NOUN
ap-2230	51	26	h	h	NOUN
ap-2230	51	27	∈	∈	PROPN
ap-2230	51	28	z	z	PROPN
ap-2230	51	29	,	,	PUNCT
ap-2230	51	30	the	the	DET
ap-2230	51	31	reward	reward	NOUN
ap-2230	51	32	for	for	ADP
ap-2230	51	33	one	one	NUM
ap-2230	51	34	player	player	NOUN
ap-2230	51	35	is	be	AUX
ap-2230	51	36	a	a	DET
ap-2230	51	37	loss	loss	NOUN
ap-2230	51	38	for	for	ADP
ap-2230	51	39	the	the	DET
ap-2230	51	40	other	other	ADJ
ap-2230	51	41	player	player	NOUN
ap-2230	51	42	(	(	PUNCT
ap-2230	51	43	ui(h	ui(h	PROPN
ap-2230	51	44	)	)	PUNCT
ap-2230	51	45	=	=	SYM
ap-2230	51	46	−u−i(h	−u−i(h	NOUN
ap-2230	51	47	)	)	PUNCT
ap-2230	51	48	)	)	PUNCT
ap-2230	51	49	.	.	PUNCT
ap-2230	52	1	extensive	extensive	ADJ
ap-2230	52	2	form	form	NOUN
ap-2230	52	3	games	game	NOUN
ap-2230	52	4	can	can	AUX
ap-2230	52	5	be	be	AUX
ap-2230	52	6	represented	represent	VERB
ap-2230	52	7	by	by	ADP
ap-2230	52	8	a	a	DET
ap-2230	52	9	game	game	NOUN
ap-2230	52	10	tree	tree	NOUN
ap-2230	52	11	,	,	PUNCT
ap-2230	52	12	such	such	ADJ
ap-2230	52	13	as	as	ADP
ap-2230	52	14	the	the	DET
ap-2230	52	15	one	one	NUM
ap-2230	52	16	in	in	ADP
ap-2230	52	17	figure	figure	NOUN
ap-2230	52	18	1	1	NUM
ap-2230	52	19	.	.	PUNCT
ap-2230	53	1	the	the	DET
ap-2230	53	2	set	set	NOUN
ap-2230	53	3	of	of	ADP
ap-2230	53	4	histories	history	NOUN
ap-2230	53	5	h	h	PROPN
ap-2230	53	6	are	be	AUX
ap-2230	53	7	the	the	DET
ap-2230	53	8	nodes	node	NOUN
ap-2230	53	9	in	in	ADP
ap-2230	53	10	the	the	DET
ap-2230	53	11	tree	tree	NOUN
ap-2230	53	12	and	and	CCONJ
ap-2230	53	13	z	z	NOUN
ap-2230	53	14	are	be	AUX
ap-2230	53	15	the	the	DET
ap-2230	53	16	leaves	leave	NOUN
ap-2230	53	17	.	.	PUNCT
ap-2230	54	1	we	we	PRON
ap-2230	54	2	denote	denote	VERB
ap-2230	54	3	the	the	DET
ap-2230	54	4	nodes	node	NOUN
ap-2230	54	5	where	where	SCONJ
ap-2230	54	6	the	the	DET
ap-2230	54	7	first	first	ADJ
ap-2230	54	8	player	player	NOUN
ap-2230	54	9	selects	select	VERB
ap-2230	54	10	an	an	DET
ap-2230	54	11	action	action	NOUN
ap-2230	54	12	(	(	PUNCT
ap-2230	54	13	h1	h1	PROPN
ap-2230	54	14	)	)	PUNCT
ap-2230	54	15	by	by	ADP
ap-2230	54	16	4	4	NUM
ap-2230	54	17	,	,	PUNCT
ap-2230	54	18	and	and	CCONJ
ap-2230	54	19	the	the	DET
ap-2230	54	20	nodes	node	NOUN
ap-2230	54	21	of	of	ADP
ap-2230	54	22	the	the	DET
ap-2230	54	23	second	second	ADJ
ap-2230	54	24	player	player	NOUN
ap-2230	54	25	(	(	PUNCT
ap-2230	54	26	minimizing	minimize	VERB
ap-2230	54	27	the	the	DET
ap-2230	54	28	utility	utility	NOUN
ap-2230	54	29	of	of	ADP
ap-2230	54	30	the	the	DET
ap-2230	54	31	first	first	ADJ
ap-2230	54	32	player	player	NOUN
ap-2230	54	33	)	)	PUNCT
ap-2230	54	34	by	by	ADP
ap-2230	54	35	5	5	NUM
ap-2230	54	36	.	.	PUNCT
ap-2230	55	1	in	in	ADP
ap-2230	55	2	this	this	DET
ap-2230	55	3	example	example	NOUN
ap-2230	55	4	,	,	PUNCT
ap-2230	55	5	the	the	DET
ap-2230	55	6	action	action	NOUN
ap-2230	55	7	sets	set	NOUN
ap-2230	55	8	of	of	ADP
ap-2230	55	9	the	the	DET
ap-2230	55	10	players	player	NOUN
ap-2230	55	11	are	be	AUX
ap-2230	55	12	a1	a1	NOUN
ap-2230	55	13	=	=	PUNCT
ap-2230	55	14	{	{	PUNCT
ap-2230	55	15	a	a	DET
ap-2230	55	16	,	,	PUNCT
ap-2230	55	17	b	b	NOUN
ap-2230	55	18	,	,	PUNCT
ap-2230	55	19	.	.	PUNCT
ap-2230	55	20	.	.	PUNCT
ap-2230	56	1	.	.	PUNCT
ap-2230	57	1	,	,	PUNCT
ap-2230	57	2	h	h	NOUN
ap-2230	57	3	}	}	PUNCT
ap-2230	57	4	,	,	PUNCT
ap-2230	57	5	a2	a2	PROPN
ap-2230	57	6	=	=	PUNCT
ap-2230	57	7	{	{	PUNCT
ap-2230	57	8	a	a	DET
ap-2230	57	9	,	,	PUNCT
ap-2230	57	10	b	b	NOUN
ap-2230	57	11	,	,	PUNCT
ap-2230	57	12	.	.	PUNCT
ap-2230	57	13	.	.	PUNCT
ap-2230	57	14	.	.	PUNCT
ap-2230	58	1	,	,	PUNCT
ap-2230	58	2	j	j	PROPN
ap-2230	58	3	}	}	PUNCT
ap-2230	58	4	.	.	PUNCT
ap-2230	59	1	we	we	PRON
ap-2230	59	2	denote	denote	VERB
ap-2230	59	3	the	the	DET
ap-2230	59	4	information	information	NOUN
ap-2230	59	5	sets	set	NOUN
ap-2230	59	6	as	as	ADP
ap-2230	59	7	the	the	DET
ap-2230	59	8	ellipses	ellipsis	NOUN
ap-2230	59	9	around	around	ADP
ap-2230	59	10	the	the	DET
ap-2230	59	11	tree	tree	NOUN
ap-2230	59	12	nodes	node	NOUN
ap-2230	59	13	.	.	PUNCT
ap-2230	60	1	after	after	SCONJ
ap-2230	60	2	the	the	DET
ap-2230	60	3	history	history	NOUN
ap-2230	60	4	h	h	NOUN
ap-2230	60	5	=	=	PUNCT
ap-2230	60	6	aa	aa	PROPN
ap-2230	60	7	player	player	NOUN
ap-2230	60	8	4	4	NUM
ap-2230	60	9	decides	decide	VERB
ap-2230	60	10	about	about	ADP
ap-2230	60	11	the	the	DET
ap-2230	60	12	next	next	ADJ
ap-2230	60	13	move	move	NOUN
ap-2230	60	14	from	from	ADP
ap-2230	60	15	a(h	a(h	PROPN
ap-2230	60	16	)	)	PUNCT
ap-2230	60	17	=	=	PRON
ap-2230	60	18	{	{	PUNCT
ap-2230	60	19	c	c	NOUN
ap-2230	60	20	,	,	PUNCT
ap-2230	60	21	d	d	NOUN
ap-2230	60	22	}	}	PUNCT
ap-2230	60	23	,	,	PUNCT
ap-2230	60	24	but	but	CCONJ
ap-2230	60	25	in	in	ADP
ap-2230	60	26	the	the	DET
ap-2230	60	27	game	game	NOUN
ap-2230	60	28	,	,	PUNCT
ap-2230	60	29	he	he	PRON
ap-2230	60	30	has	have	VERB
ap-2230	60	31	exactly	exactly	ADV
ap-2230	60	32	the	the	DET
ap-2230	60	33	same	same	ADJ
ap-2230	60	34	information	information	NOUN
ap-2230	60	35	as	as	SCONJ
ap-2230	60	36	if	if	SCONJ
ap-2230	60	37	h′	h′	PROPN
ap-2230	60	38	=	=	SYM
ap-2230	60	39	ab	ab	PROPN
ap-2230	60	40	was	be	AUX
ap-2230	60	41	the	the	DET
ap-2230	60	42	current	current	ADJ
ap-2230	60	43	state	state	NOUN
ap-2230	60	44	of	of	ADP
ap-2230	60	45	the	the	DET
ap-2230	60	46	game	game	NOUN
ap-2230	60	47	.	.	PUNCT
ap-2230	61	1	the	the	DET
ap-2230	61	2	numbers	number	NOUN
ap-2230	61	3	in	in	ADP
ap-2230	61	4	the	the	DET
ap-2230	61	5	leaves	leave	NOUN
ap-2230	61	6	denote	denote	VERB
ap-2230	61	7	the	the	DET
ap-2230	61	8	utility	utility	NOUN
ap-2230	61	9	of	of	ADP
ap-2230	61	10	the	the	DET
ap-2230	61	11	first	first	ADJ
ap-2230	61	12	player	player	NOUN
ap-2230	61	13	.	.	PUNCT
ap-2230	62	1	a	a	DET
ap-2230	62	2	pure	pure	ADJ
ap-2230	62	3	strategy	strategy	NOUN
ap-2230	62	4	in	in	ADP
ap-2230	62	5	an	an	DET
ap-2230	62	6	extensive	extensive	ADJ
ap-2230	62	7	form	form	NOUN
ap-2230	62	8	game	game	NOUN
ap-2230	62	9	is	be	AUX
ap-2230	62	10	a	a	DET
ap-2230	62	11	function	function	NOUN
ap-2230	62	12	that	that	PRON
ap-2230	62	13	assigns	assign	VERB
ap-2230	62	14	to	to	ADP
ap-2230	62	15	each	each	DET
ap-2230	62	16	information	information	NOUN
ap-2230	62	17	set	set	VERB
ap-2230	62	18	i	i	PRON
ap-2230	62	19	∈	∈	PROPN
ap-2230	62	20	ii	ii	PROPN
ap-2230	62	21	of	of	ADP
ap-2230	62	22	player	player	NOUN
ap-2230	62	23	i	i	PRON
ap-2230	62	24	an	an	DET
ap-2230	62	25	action	action	NOUN
ap-2230	62	26	from	from	ADP
ap-2230	62	27	a(i	a(i	PROPN
ap-2230	62	28	)	)	PUNCT
ap-2230	62	29	.	.	PUNCT
ap-2230	63	1	each	each	DET
ap-2230	63	2	pair	pair	NOUN
ap-2230	63	3	of	of	ADP
ap-2230	63	4	pure	pure	ADJ
ap-2230	63	5	strategies	strategy	NOUN
ap-2230	63	6	then	then	ADV
ap-2230	63	7	naturally	naturally	ADV
ap-2230	63	8	defines	define	VERB
ap-2230	63	9	the	the	DET
ap-2230	63	10	utility	utility	NOUN
ap-2230	63	11	function	function	NOUN
ap-2230	63	12	as	as	ADP
ap-2230	63	13	the	the	DET
ap-2230	63	14	expected	expect	VERB
ap-2230	63	15	value	value	NOUN
ap-2230	63	16	of	of	ADP
ap-2230	63	17	playing	play	VERB
ap-2230	63	18	this	this	DET
ap-2230	63	19	pair	pair	NOUN
ap-2230	63	20	of	of	ADP
ap-2230	63	21	strategies	strategy	NOUN
ap-2230	63	22	.	.	PUNCT
ap-2230	64	1	the	the	DET
ap-2230	64	2	expectation	expectation	NOUN
ap-2230	64	3	is	be	AUX
ap-2230	64	4	taken	take	VERB
ap-2230	64	5	over	over	ADP
ap-2230	64	6	the	the	DET
ap-2230	64	7	actions	action	NOUN
ap-2230	64	8	in	in	ADP
ap-2230	64	9	the	the	DET
ap-2230	64	10	chance	chance	NOUN
ap-2230	64	11	nodes	node	NOUN
ap-2230	64	12	,	,	PUNCT
ap-2230	64	13	in	in	ADP
ap-2230	64	14	which	which	PRON
ap-2230	64	15	the	the	DET
ap-2230	64	16	action	action	NOUN
ap-2230	64	17	is	be	AUX
ap-2230	64	18	selected	select	VERB
ap-2230	64	19	based	base	VERB
ap-2230	64	20	on	on	ADP
ap-2230	64	21	a	a	DET
ap-2230	64	22	commonly	commonly	ADV
ap-2230	64	23	known	know	VERB
ap-2230	64	24	probability	probability	NOUN
ap-2230	64	25	distribution	distribution	NOUN
ap-2230	64	26	.	.	PUNCT
ap-2230	65	1	the	the	DET
ap-2230	65	2	set	set	NOUN
ap-2230	65	3	of	of	ADP
ap-2230	65	4	mixed	mixed	ADJ
ap-2230	65	5	strategies	strategy	NOUN
ap-2230	65	6	of	of	ADP
ap-2230	65	7	an	an	DET
ap-2230	65	8	extensive	extensive	ADJ
ap-2230	65	9	form	form	NOUN
ap-2230	65	10	game	game	NOUN
ap-2230	65	11	is	be	AUX
ap-2230	65	12	defined	define	VERB
ap-2230	65	13	as	as	ADP
ap-2230	65	14	the	the	DET
ap-2230	65	15	set	set	NOUN
ap-2230	65	16	of	of	ADP
ap-2230	65	17	all	all	DET
ap-2230	65	18	probability	probability	NOUN
ap-2230	65	19	distributions	distribution	NOUN
ap-2230	65	20	over	over	ADP
ap-2230	65	21	the	the	DET
ap-2230	65	22	pure	pure	ADJ
ap-2230	65	23	strategies	strategy	NOUN
ap-2230	65	24	.	.	PUNCT
ap-2230	66	1	in	in	ADP
ap-2230	66	2	games	game	NOUN
ap-2230	66	3	where	where	SCONJ
ap-2230	66	4	players	player	NOUN
ap-2230	66	5	do	do	AUX
ap-2230	66	6	not	not	PART
ap-2230	66	7	forget	forget	VERB
ap-2230	66	8	the	the	DET
ap-2230	66	9	actions	action	NOUN
ap-2230	66	10	they	they	PRON
ap-2230	66	11	performed	perform	VERB
ap-2230	66	12	,	,	PUNCT
ap-2230	66	13	a	a	DET
ap-2230	66	14	theorem	theorem	NOUN
ap-2230	66	15	proposed	propose	VERB
ap-2230	66	16	by	by	ADP
ap-2230	66	17	khun	khun	PROPN
ap-2230	67	1	[	[	X
ap-2230	67	2	12	12	NUM
ap-2230	67	3	]	]	PUNCT
ap-2230	67	4	allows	allow	VERB
ap-2230	67	5	us	we	PRON
ap-2230	67	6	to	to	PART
ap-2230	67	7	use	use	VERB
ap-2230	67	8	the	the	DET
ap-2230	67	9	following	following	ADJ
ap-2230	67	10	equivalent	equivalent	NOUN
ap-2230	67	11	,	,	PUNCT
ap-2230	67	12	but	but	CCONJ
ap-2230	67	13	much	much	ADV
ap-2230	67	14	more	more	ADV
ap-2230	67	15	compact	compact	ADJ
ap-2230	67	16	,	,	PUNCT
ap-2230	67	17	representation	representation	NOUN
ap-2230	67	18	of	of	ADP
ap-2230	67	19	the	the	DET
ap-2230	67	20	mixed	mixed	ADJ
ap-2230	67	21	strategies	strategy	NOUN
ap-2230	67	22	.	.	PUNCT
ap-2230	68	1	a	a	DET
ap-2230	68	2	behavioral	behavioral	ADJ
ap-2230	68	3	strategy	strategy	NOUN
ap-2230	68	4	assigns	assign	NOUN
ap-2230	68	5	to	to	ADP
ap-2230	68	6	each	each	DET
ap-2230	68	7	information	information	NOUN
ap-2230	68	8	set	set	VERB
ap-2230	68	9	a	a	DET
ap-2230	68	10	probability	probability	NOUN
ap-2230	68	11	distribution	distribution	NOUN
ap-2230	68	12	over	over	ADP
ap-2230	68	13	the	the	DET
ap-2230	68	14	available	available	ADJ
ap-2230	68	15	actions	action	NOUN
ap-2230	68	16	.	.	PUNCT
ap-2230	69	1	if	if	SCONJ
ap-2230	69	2	it	it	PRON
ap-2230	69	3	is	be	AUX
ap-2230	69	4	not	not	PART
ap-2230	69	5	specified	specify	VERB
ap-2230	69	6	otherwise	otherwise	ADV
ap-2230	69	7	,	,	PUNCT
ap-2230	69	8	we	we	PRON
ap-2230	69	9	mean	mean	VERB
ap-2230	69	10	by	by	ADP
ap-2230	69	11	a	a	DET
ap-2230	69	12	strategy	strategy	NOUN
ap-2230	69	13	in	in	ADP
ap-2230	69	14	an	an	DET
ap-2230	69	15	extensive	extensive	ADJ
ap-2230	69	16	form	form	NOUN
ap-2230	69	17	game	game	NOUN
ap-2230	69	18	the	the	DET
ap-2230	69	19	behavioral	behavioral	ADJ
ap-2230	69	20	strategy	strategy	NOUN
ap-2230	69	21	.	.	PUNCT
ap-2230	70	1	we	we	PRON
ap-2230	70	2	denote	denote	VERB
ap-2230	70	3	the	the	DET
ap-2230	70	4	set	set	NOUN
ap-2230	70	5	of	of	ADP
ap-2230	70	6	all	all	DET
ap-2230	70	7	mixed	mixed	ADJ
ap-2230	70	8	strategies	strategy	NOUN
ap-2230	70	9	of	of	ADP
ap-2230	70	10	player	player	NOUN
ap-2230	70	11	i	i	PRON
ap-2230	70	12	∈	∈	PROPN
ap-2230	70	13	n	n	X
ap-2230	70	14	by	by	ADP
ap-2230	70	15	σi	σi	X
ap-2230	70	16	.	.	PUNCT
ap-2230	71	1	we	we	PRON
ap-2230	71	2	term	term	VERB
ap-2230	71	3	a	a	DET
ap-2230	71	4	vector	vector	NOUN
ap-2230	71	5	of	of	ADP
ap-2230	71	6	one	one	NUM
ap-2230	71	7	strategy	strategy	NOUN
ap-2230	71	8	for	for	ADP
ap-2230	71	9	each	each	DET
ap-2230	71	10	player	player	NOUN
ap-2230	71	11	σ	σ	PROPN
ap-2230	71	12	∈	∈	PROPN
ap-2230	71	13	πi∈nσi	πi∈nσi	VERB
ap-2230	71	14	a	a	DET
ap-2230	71	15	strategy	strategy	NOUN
ap-2230	71	16	profile	profile	NOUN
ap-2230	71	17	and	and	CCONJ
ap-2230	71	18	we	we	PRON
ap-2230	71	19	denote	denote	VERB
ap-2230	71	20	σi	σi	PRON
ap-2230	71	21	the	the	DET
ap-2230	71	22	strategy	strategy	NOUN
ap-2230	71	23	of	of	ADP
ap-2230	71	24	player	player	NOUN
ap-2230	71	25	i	i	PRON
ap-2230	71	26	and	and	CCONJ
ap-2230	71	27	we	we	PRON
ap-2230	71	28	denote	denote	VERB
ap-2230	71	29	σ−i	σ−i	PROPN
ap-2230	71	30	the	the	DET
ap-2230	71	31	strategy	strategy	NOUN
ap-2230	71	32	of	of	ADP
ap-2230	71	33	the	the	DET
ap-2230	71	34	opponent	opponent	NOUN
ap-2230	71	35	of	of	ADP
ap-2230	71	36	i.	i.	PROPN
ap-2230	71	37	∆(ai	∆(ai	PROPN
ap-2230	71	38	)	)	PUNCT
ap-2230	71	39	is	be	AUX
ap-2230	71	40	the	the	DET
ap-2230	71	41	set	set	NOUN
ap-2230	71	42	of	of	ADP
ap-2230	71	43	all	all	DET
ap-2230	71	44	probability	probability	NOUN
ap-2230	71	45	distributions	distribution	NOUN
ap-2230	71	46	over	over	ADP
ap-2230	71	47	ai	ai	PROPN
ap-2230	71	48	.	.	PUNCT
ap-2230	72	1	ui	ui	PROPN
ap-2230	72	2	can	can	AUX
ap-2230	72	3	be	be	AUX
ap-2230	72	4	naturally	naturally	ADV
ap-2230	72	5	extended	extend	VERB
ap-2230	72	6	to	to	ADP
ap-2230	72	7	mixed	mixed	ADJ
ap-2230	72	8	strategies	strategy	NOUN
ap-2230	72	9	as	as	ADP
ap-2230	72	10	the	the	DET
ap-2230	72	11	expectation	expectation	NOUN
ap-2230	72	12	over	over	ADP
ap-2230	72	13	the	the	DET
ap-2230	72	14	pure	pure	ADJ
ap-2230	72	15	strategies	strategy	NOUN
ap-2230	72	16	.	.	PUNCT
ap-2230	73	1	definition	definition	NOUN
ap-2230	73	2	2	2	NUM
ap-2230	73	3	(	(	PUNCT
ap-2230	73	4	best	good	ADJ
ap-2230	73	5	response	response	NOUN
ap-2230	73	6	)	)	PUNCT
ap-2230	73	7	.	.	PUNCT
ap-2230	74	1	for	for	ADP
ap-2230	74	2	strategy	strategy	NOUN
ap-2230	74	3	profile	profile	PROPN
ap-2230	74	4	σ	σ	PROPN
ap-2230	74	5	,	,	PUNCT
ap-2230	74	6	we	we	PRON
ap-2230	74	7	define	define	VERB
ap-2230	74	8	a	a	DET
ap-2230	74	9	best	good	ADJ
ap-2230	74	10	response	response	NOUN
ap-2230	74	11	of	of	ADP
ap-2230	74	12	player	player	NOUN
ap-2230	74	13	i	i	PRON
ap-2230	74	14	to	to	ADP
ap-2230	74	15	the	the	DET
ap-2230	74	16	opponent	opponent	NOUN
ap-2230	74	17	’s	’s	PART
ap-2230	74	18	strategy	strategy	NOUN
ap-2230	74	19	σ−i	σ−i	PROPN
ap-2230	74	20	as	as	ADP
ap-2230	74	21	the	the	DET
ap-2230	74	22	strategy	strategy	NOUN
ap-2230	74	23	br(σ−i	br(σ−i	NOUN
ap-2230	74	24	)	)	PUNCT
ap-2230	74	25	∈	∈	PROPN
ap-2230	74	26	arg	arg	NOUN
ap-2230	74	27	max	max	PROPN
ap-2230	74	28	σ′	σ′	PROPN
ap-2230	74	29	i	i	PROPN
ap-2230	74	30	∈∆(ai	∈∆(ai	PROPN
ap-2230	74	31	)	)	PUNCT
ap-2230	74	32	ui(σ′i	ui(σ′i	PROPN
ap-2230	74	33	,	,	PUNCT
ap-2230	74	34	σ−i	σ−i	PROPN
ap-2230	74	35	)	)	PUNCT
ap-2230	74	36	.	.	PUNCT
ap-2230	75	1	one	one	NUM
ap-2230	75	2	of	of	ADP
ap-2230	75	3	the	the	DET
ap-2230	75	4	most	most	ADV
ap-2230	75	5	fundamental	fundamental	ADJ
ap-2230	75	6	solution	solution	NOUN
ap-2230	75	7	concepts	concept	NOUN
ap-2230	75	8	in	in	ADP
ap-2230	75	9	game	game	NOUN
ap-2230	75	10	theory	theory	NOUN
ap-2230	75	11	is	be	AUX
ap-2230	75	12	the	the	DET
ap-2230	75	13	nash	nash	ADJ
ap-2230	75	14	equilibrium	equilibrium	NOUN
ap-2230	76	1	[	[	X
ap-2230	76	2	11	11	NUM
ap-2230	76	3	]	]	PUNCT
ap-2230	76	4	.	.	PUNCT
ap-2230	77	1	definition	definition	NOUN
ap-2230	77	2	3	3	NUM
ap-2230	77	3	(	(	PUNCT
ap-2230	77	4	nash	nash	PROPN
ap-2230	77	5	equilibrium	equilibrium	NOUN
ap-2230	77	6	)	)	PUNCT
ap-2230	77	7	.	.	PUNCT
ap-2230	78	1	a	a	DET
ap-2230	78	2	strategy	strategy	NOUN
ap-2230	78	3	profile	profile	NOUN
ap-2230	78	4	σ∗	σ∗	PROPN
ap-2230	78	5	∈	∈	PROPN
ap-2230	78	6	σ	σ	PROPN
ap-2230	78	7	is	be	AUX
ap-2230	78	8	a	a	DET
ap-2230	78	9	nash	nash	ADJ
ap-2230	78	10	equilibrium	equilibrium	NOUN
ap-2230	78	11	if	if	SCONJ
ap-2230	78	12	ui(σi	ui(σi	PROPN
ap-2230	78	13	,	,	PUNCT
ap-2230	78	14	σ∗−i	σ∗−i	ADJ
ap-2230	78	15	)	)	PUNCT
ap-2230	78	16	≤	≤	NUM
ap-2230	78	17	ui(σ∗	ui(σ∗	NOUN
ap-2230	78	18	)	)	PUNCT
ap-2230	78	19	∀i	∀i	NOUN
ap-2230	78	20	∈	∈	NOUN
ap-2230	78	21	n	n	X
ap-2230	78	22	,	,	PUNCT
ap-2230	78	23	∀σi	∀σi	PROPN
ap-2230	78	24	∈	∈	PROPN
ap-2230	78	25	σi	σi	NOUN
ap-2230	78	26	.	.	PUNCT
ap-2230	79	1	in	in	ADP
ap-2230	79	2	words	word	NOUN
ap-2230	79	3	,	,	PUNCT
ap-2230	79	4	in	in	ADP
ap-2230	79	5	a	a	DET
ap-2230	79	6	nash	nash	ADJ
ap-2230	79	7	equilibrium	equilibrium	NOUN
ap-2230	79	8	,	,	PUNCT
ap-2230	79	9	each	each	DET
ap-2230	79	10	player	player	NOUN
ap-2230	79	11	plays	play	VERB
ap-2230	79	12	the	the	DET
ap-2230	79	13	best	good	ADJ
ap-2230	79	14	response	response	NOUN
ap-2230	79	15	to	to	ADP
ap-2230	79	16	the	the	DET
ap-2230	79	17	strategies	strategy	NOUN
ap-2230	79	18	of	of	ADP
ap-2230	79	19	the	the	DET
ap-2230	79	20	other	other	ADJ
ap-2230	79	21	players	player	NOUN
ap-2230	79	22	.	.	PUNCT
ap-2230	80	1	in	in	ADP
ap-2230	80	2	zero	zero	NUM
ap-2230	80	3	-	-	PUNCT
ap-2230	80	4	sum	sum	NOUN
ap-2230	80	5	games	game	NOUN
ap-2230	80	6	,	,	PUNCT
ap-2230	80	7	a	a	DET
ap-2230	80	8	nash	nash	ADJ
ap-2230	80	9	equilibrium	equilibrium	NOUN
ap-2230	80	10	is	be	AUX
ap-2230	80	11	a	a	DET
ap-2230	80	12	very	very	ADV
ap-2230	80	13	appealing	appealing	ADJ
ap-2230	80	14	strategy	strategy	NOUN
ap-2230	80	15	to	to	PART
ap-2230	80	16	play	play	VERB
ap-2230	80	17	.	.	PUNCT
ap-2230	81	1	it	it	PRON
ap-2230	81	2	prescribes	prescribe	VERB
ap-2230	81	3	a	a	DET
ap-2230	81	4	(	(	PUNCT
ap-2230	81	5	generally	generally	ADV
ap-2230	81	6	randomized	randomize	VERB
ap-2230	81	7	)	)	PUNCT
ap-2230	81	8	strategy	strategy	NOUN
ap-2230	81	9	that	that	PRON
ap-2230	81	10	is	be	AUX
ap-2230	81	11	optimal	optimal	ADJ
ap-2230	81	12	in	in	ADP
ap-2230	81	13	several	several	ADJ
ap-2230	81	14	aspects	aspect	NOUN
ap-2230	81	15	.	.	PUNCT
ap-2230	82	1	it	it	PRON
ap-2230	82	2	is	be	AUX
ap-2230	82	3	a	a	DET
ap-2230	82	4	strategy	strategy	NOUN
ap-2230	82	5	that	that	PRON
ap-2230	82	6	gains	gain	VERB
ap-2230	82	7	the	the	DET
ap-2230	82	8	highest	high	ADJ
ap-2230	82	9	expected	expect	VERB
ap-2230	82	10	reward	reward	NOUN
ap-2230	82	11	against	against	ADP
ap-2230	82	12	its	its	PRON
ap-2230	82	13	worst	bad	ADJ
ap-2230	82	14	-	-	PUNCT
ap-2230	82	15	case	case	NOUN
ap-2230	82	16	opponent	opponent	NOUN
ap-2230	82	17	,	,	PUNCT
ap-2230	82	18	even	even	ADV
ap-2230	82	19	if	if	SCONJ
ap-2230	82	20	the	the	DET
ap-2230	82	21	opponent	opponent	NOUN
ap-2230	82	22	knows	know	VERB
ap-2230	82	23	the	the	DET
ap-2230	82	24	strategy	strategy	NOUN
ap-2230	82	25	played	play	VERB
ap-2230	82	26	by	by	ADP
ap-2230	82	27	the	the	DET
ap-2230	82	28	player	player	NOUN
ap-2230	82	29	in	in	ADP
ap-2230	82	30	advance	advance	NOUN
ap-2230	82	31	.	.	PUNCT
ap-2230	83	1	moreover	moreover	ADV
ap-2230	83	2	,	,	PUNCT
ap-2230	83	3	in	in	ADP
ap-2230	83	4	the	the	DET
ap-2230	83	5	zero	zero	NUM
ap-2230	83	6	-	-	PUNCT
ap-2230	83	7	sum	sum	NOUN
ap-2230	83	8	setting	setting	NOUN
ap-2230	83	9	,	,	PUNCT
ap-2230	83	10	even	even	ADV
ap-2230	83	11	if	if	SCONJ
ap-2230	83	12	the	the	DET
ap-2230	83	13	opponent	opponent	NOUN
ap-2230	83	14	does	do	AUX
ap-2230	83	15	not	not	PART
ap-2230	83	16	play	play	VERB
ap-2230	83	17	rationally	rationally	ADV
ap-2230	83	18	,	,	PUNCT
ap-2230	83	19	the	the	DET
ap-2230	83	20	strategy	strategy	NOUN
ap-2230	83	21	still	still	ADV
ap-2230	83	22	guarantees	guarantee	VERB
ap-2230	83	23	at	at	ADP
ap-2230	83	24	least	least	ADJ
ap-2230	83	25	the	the	DET
ap-2230	83	26	reward	reward	NOUN
ap-2230	83	27	it	it	PRON
ap-2230	83	28	would	would	AUX
ap-2230	83	29	have	have	VERB
ap-2230	83	30	334	334	NUM
ap-2230	83	31	vol	vol	NOUN
ap-2230	83	32	.	.	PUNCT
ap-2230	84	1	54	54	NUM
ap-2230	84	2	no	no	NOUN
ap-2230	84	3	.	.	PUNCT
ap-2230	85	1	5/2014	5/2014	NUM
ap-2230	85	2	selection	selection	NOUN
ap-2230	85	3	functions	function	NOUN
ap-2230	85	4	for	for	ADP
ap-2230	85	5	is	be	AUX
ap-2230	85	6	-	-	PUNCT
ap-2230	85	7	mcts	mct	NOUN
ap-2230	85	8	gained	gain	VERB
ap-2230	85	9	against	against	ADP
ap-2230	85	10	the	the	DET
ap-2230	85	11	rational	rational	ADJ
ap-2230	85	12	opponent	opponent	NOUN
ap-2230	85	13	.	.	PUNCT
ap-2230	86	1	this	this	DET
ap-2230	86	2	guaranteed	guarantee	VERB
ap-2230	86	3	reward	reward	NOUN
ap-2230	86	4	is	be	AUX
ap-2230	86	5	termed	term	VERB
ap-2230	86	6	the	the	DET
ap-2230	86	7	value	value	NOUN
ap-2230	86	8	of	of	ADP
ap-2230	86	9	the	the	DET
ap-2230	86	10	game	game	NOUN
ap-2230	86	11	.	.	PUNCT
ap-2230	87	1	the	the	DET
ap-2230	87	2	distance	distance	NOUN
ap-2230	87	3	of	of	ADP
ap-2230	87	4	a	a	DET
ap-2230	87	5	strategy	strategy	NOUN
ap-2230	87	6	from	from	ADP
ap-2230	87	7	a	a	DET
ap-2230	87	8	nash	nash	ADJ
ap-2230	87	9	equilibrium	equilibrium	NOUN
ap-2230	87	10	can	can	AUX
ap-2230	87	11	be	be	AUX
ap-2230	87	12	measured	measure	VERB
ap-2230	87	13	in	in	ADP
ap-2230	87	14	terms	term	NOUN
ap-2230	87	15	of	of	ADP
ap-2230	87	16	exploitability	exploitability	NOUN
ap-2230	87	17	(	(	PUNCT
ap-2230	87	18	e.g.	e.g.	ADV
ap-2230	87	19	,	,	PUNCT
ap-2230	87	20	[	[	X
ap-2230	87	21	13	13	NUM
ap-2230	87	22	]	]	NUM
ap-2230	87	23	)	)	PUNCT
ap-2230	87	24	.	.	PUNCT
ap-2230	88	1	definition	definition	NOUN
ap-2230	88	2	4	4	NUM
ap-2230	88	3	(	(	PUNCT
ap-2230	88	4	exploitability	exploitability	NOUN
ap-2230	88	5	)	)	PUNCT
ap-2230	88	6	.	.	PUNCT
ap-2230	89	1	the	the	DET
ap-2230	89	2	exploitability	exploitability	NOUN
ap-2230	89	3	of	of	ADP
ap-2230	89	4	strategy	strategy	NOUN
ap-2230	89	5	σi	σi	PROPN
ap-2230	89	6	is	be	AUX
ap-2230	89	7	expl(σi	expl(σi	NOUN
ap-2230	89	8	)	)	PUNCT
ap-2230	89	9	=	=	SYM
ap-2230	89	10	vi	vi	PROPN
ap-2230	89	11	−	−	PROPN
ap-2230	89	12	ui(σi	ui(σi	PROPN
ap-2230	89	13	,	,	PUNCT
ap-2230	89	14	br(σi	br(σi	NOUN
ap-2230	89	15	)	)	PUNCT
ap-2230	89	16	)	)	PUNCT
ap-2230	89	17	where	where	SCONJ
ap-2230	89	18	vi	vi	PROPN
ap-2230	89	19	is	be	AUX
ap-2230	89	20	the	the	DET
ap-2230	89	21	value	value	NOUN
ap-2230	89	22	of	of	ADP
ap-2230	89	23	the	the	DET
ap-2230	89	24	game	game	NOUN
ap-2230	89	25	for	for	ADP
ap-2230	89	26	player	player	NOUN
ap-2230	89	27	i.	i.	NOUN
ap-2230	89	28	the	the	DET
ap-2230	89	29	exploitability	exploitability	NOUN
ap-2230	89	30	of	of	ADP
ap-2230	89	31	strategy	strategy	NOUN
ap-2230	89	32	profile	profile	PROPN
ap-2230	89	33	σ	σ	PROPN
ap-2230	89	34	is	be	AUX
ap-2230	89	35	expl(σ	expl(σ	NOUN
ap-2230	89	36	)	)	PUNCT
ap-2230	89	37	=	=	SYM
ap-2230	89	38	ui(σi	ui(σi	PROPN
ap-2230	89	39	,	,	PUNCT
ap-2230	89	40	br(σi))−	br(σi))−	PROPN
ap-2230	89	41	ui(br(σ−i	ui(br(σ−i	PROPN
ap-2230	89	42	)	)	PUNCT
ap-2230	89	43	,	,	PUNCT
ap-2230	89	44	σi	σi	NOUN
ap-2230	89	45	)	)	PUNCT
ap-2230	89	46	.	.	PUNCT
ap-2230	90	1	in	in	ADP
ap-2230	90	2	this	this	DET
ap-2230	90	3	paper	paper	NOUN
ap-2230	90	4	,	,	PUNCT
ap-2230	90	5	we	we	PRON
ap-2230	90	6	compute	compute	VERB
ap-2230	90	7	the	the	DET
ap-2230	90	8	exploitability	exploitability	NOUN
ap-2230	90	9	using	use	VERB
ap-2230	90	10	the	the	DET
ap-2230	90	11	best	good	ADJ
ap-2230	90	12	response	response	NOUN
ap-2230	90	13	function	function	NOUN
ap-2230	90	14	described	describe	VERB
ap-2230	90	15	in	in	ADP
ap-2230	90	16	[	[	X
ap-2230	90	17	14	14	NUM
ap-2230	90	18	]	]	SYM
ap-2230	90	19	.	.	PUNCT
ap-2230	91	1	3	3	X
ap-2230	91	2	.	.	X
ap-2230	91	3	information	information	NOUN
ap-2230	91	4	set	set	VERB
ap-2230	91	5	monte	monte	PROPN
ap-2230	91	6	carlo	carlo	PROPN
ap-2230	91	7	tree	tree	NOUN
ap-2230	91	8	search	search	NOUN
ap-2230	91	9	information	information	NOUN
ap-2230	91	10	set	set	VERB
ap-2230	91	11	monte	monte	PROPN
ap-2230	91	12	carlo	carlo	PROPN
ap-2230	91	13	tree	tree	NOUN
ap-2230	91	14	search	search	NOUN
ap-2230	91	15	(	(	PUNCT
ap-2230	91	16	is	be	AUX
ap-2230	91	17	-	-	PUNCT
ap-2230	91	18	mcts	mct	NOUN
ap-2230	91	19	)	)	PUNCT
ap-2230	91	20	is	be	AUX
ap-2230	91	21	a	a	DET
ap-2230	91	22	monte	monte	PROPN
ap-2230	91	23	carlo	carlo	NOUN
ap-2230	91	24	tree	tree	NOUN
ap-2230	91	25	search	search	NOUN
ap-2230	91	26	variant	variant	NOUN
ap-2230	91	27	for	for	ADP
ap-2230	91	28	imperfect	imperfect	ADJ
ap-2230	91	29	information	information	NOUN
ap-2230	91	30	games	game	NOUN
ap-2230	91	31	.	.	PUNCT
ap-2230	92	1	fundamentally	fundamentally	ADV
ap-2230	92	2	very	very	ADV
ap-2230	92	3	similar	similar	ADJ
ap-2230	92	4	algorithms	algorithm	NOUN
ap-2230	92	5	have	have	AUX
ap-2230	92	6	previously	previously	ADV
ap-2230	92	7	been	be	AUX
ap-2230	92	8	formulated	formulate	VERB
ap-2230	92	9	in	in	ADP
ap-2230	92	10	two	two	NUM
ap-2230	92	11	different	different	ADJ
ap-2230	92	12	ways	way	NOUN
ap-2230	92	13	.	.	PUNCT
ap-2230	93	1	the	the	DET
ap-2230	93	2	formulation	formulation	NOUN
ap-2230	93	3	that	that	PRON
ap-2230	93	4	is	be	AUX
ap-2230	93	5	easier	easy	ADJ
ap-2230	93	6	to	to	PART
ap-2230	93	7	understand	understand	VERB
ap-2230	93	8	is	be	AUX
ap-2230	93	9	presented	present	VERB
ap-2230	93	10	in	in	ADP
ap-2230	93	11	[	[	X
ap-2230	93	12	4	4	NUM
ap-2230	93	13	]	]	PUNCT
ap-2230	93	14	.	.	PUNCT
ap-2230	94	1	the	the	DET
ap-2230	94	2	mcts	mct	NOUN
ap-2230	94	3	iterations	iteration	NOUN
ap-2230	94	4	are	be	AUX
ap-2230	94	5	performed	perform	VERB
ap-2230	94	6	on	on	ADP
ap-2230	94	7	the	the	DET
ap-2230	94	8	complete	complete	ADJ
ap-2230	94	9	game	game	NOUN
ap-2230	94	10	tree	tree	NOUN
ap-2230	94	11	of	of	ADP
ap-2230	94	12	the	the	DET
ap-2230	94	13	extensive	extensive	ADJ
ap-2230	94	14	form	form	NOUN
ap-2230	94	15	games	game	NOUN
ap-2230	94	16	(	(	PUNCT
ap-2230	94	17	i.e.	i.e.	X
ap-2230	94	18	,	,	PUNCT
ap-2230	94	19	all	all	DET
ap-2230	94	20	possible	possible	ADJ
ap-2230	94	21	states	state	NOUN
ap-2230	94	22	on	on	ADP
ap-2230	94	23	the	the	DET
ap-2230	94	24	game	game	NOUN
ap-2230	94	25	)	)	PUNCT
ap-2230	94	26	.	.	PUNCT
ap-2230	95	1	however	however	ADV
ap-2230	95	2	,	,	PUNCT
ap-2230	95	3	the	the	DET
ap-2230	95	4	statistics	statistic	NOUN
ap-2230	95	5	for	for	ADP
ap-2230	95	6	the	the	DET
ap-2230	95	7	selection	selection	NOUN
ap-2230	95	8	algorithm	algorithm	NOUN
ap-2230	95	9	,	,	PUNCT
ap-2230	95	10	such	such	ADJ
ap-2230	95	11	as	as	ADP
ap-2230	95	12	uct	uct	PROPN
ap-2230	95	13	,	,	PUNCT
ap-2230	95	14	are	be	AUX
ap-2230	95	15	collected	collect	VERB
ap-2230	95	16	for	for	SCONJ
ap-2230	95	17	the	the	DET
ap-2230	95	18	whole	whole	ADJ
ap-2230	95	19	information	information	NOUN
ap-2230	95	20	set	set	VERB
ap-2230	95	21	.	.	PUNCT
ap-2230	96	1	if	if	SCONJ
ap-2230	96	2	any	any	PRON
ap-2230	96	3	of	of	ADP
ap-2230	96	4	the	the	DET
ap-2230	96	5	nodes	node	NOUN
ap-2230	96	6	in	in	ADP
ap-2230	96	7	the	the	DET
ap-2230	96	8	information	information	NOUN
ap-2230	96	9	set	set	VERB
ap-2230	96	10	is	be	AUX
ap-2230	96	11	reached	reach	VERB
ap-2230	96	12	,	,	PUNCT
ap-2230	96	13	the	the	DET
ap-2230	96	14	selection	selection	NOUN
ap-2230	96	15	algorithm	algorithm	NOUN
ap-2230	96	16	is	be	AUX
ap-2230	96	17	used	use	VERB
ap-2230	96	18	to	to	PART
ap-2230	96	19	select	select	VERB
ap-2230	96	20	the	the	DET
ap-2230	96	21	next	next	ADJ
ap-2230	96	22	move	move	NOUN
ap-2230	96	23	and	and	CCONJ
ap-2230	96	24	,	,	PUNCT
ap-2230	96	25	subsequently	subsequently	ADV
ap-2230	96	26	,	,	PUNCT
ap-2230	96	27	the	the	DET
ap-2230	96	28	statistics	statistic	NOUN
ap-2230	96	29	stored	store	VERB
ap-2230	96	30	by	by	ADP
ap-2230	96	31	this	this	DET
ap-2230	96	32	algorithm	algorithm	NOUN
ap-2230	96	33	are	be	AUX
ap-2230	96	34	updated	update	VERB
ap-2230	96	35	by	by	ADP
ap-2230	96	36	the	the	DET
ap-2230	96	37	result	result	NOUN
ap-2230	96	38	of	of	ADP
ap-2230	96	39	the	the	DET
ap-2230	96	40	simulation	simulation	NOUN
ap-2230	96	41	.	.	PUNCT
ap-2230	97	1	in	in	ADP
ap-2230	97	2	the	the	DET
ap-2230	97	3	tree	tree	NOUN
ap-2230	97	4	expansion	expansion	NOUN
ap-2230	97	5	step	step	NOUN
ap-2230	97	6	,	,	PUNCT
ap-2230	97	7	the	the	DET
ap-2230	97	8	authors	author	NOUN
ap-2230	97	9	in	in	ADP
ap-2230	97	10	[	[	X
ap-2230	97	11	4	4	X
ap-2230	97	12	]	]	PUNCT
ap-2230	97	13	suggest	suggest	AUX
ap-2230	97	14	adding	add	VERB
ap-2230	97	15	a	a	DET
ap-2230	97	16	single	single	ADJ
ap-2230	97	17	node	node	NOUN
ap-2230	97	18	to	to	ADP
ap-2230	97	19	the	the	DET
ap-2230	97	20	extensive	extensive	ADJ
ap-2230	97	21	form	form	NOUN
ap-2230	97	22	tree	tree	NOUN
ap-2230	97	23	of	of	ADP
ap-2230	97	24	the	the	DET
ap-2230	97	25	game	game	NOUN
ap-2230	97	26	.	.	PUNCT
ap-2230	98	1	a	a	DET
ap-2230	98	2	very	very	ADV
ap-2230	98	3	similar	similar	ADJ
ap-2230	98	4	algorithm	algorithm	NOUN
ap-2230	98	5	is	be	AUX
ap-2230	98	6	presented	present	VERB
ap-2230	98	7	in	in	ADP
ap-2230	98	8	[	[	X
ap-2230	98	9	15	15	NUM
ap-2230	98	10	]	]	PUNCT
ap-2230	98	11	,	,	PUNCT
ap-2230	98	12	in	in	ADP
ap-2230	98	13	[	[	X
ap-2230	98	14	3	3	X
ap-2230	98	15	]	]	PUNCT
ap-2230	98	16	as	as	ADP
ap-2230	98	17	“	"	PUNCT
ap-2230	98	18	multiple	multiple	ADJ
ap-2230	98	19	-	-	PUNCT
ap-2230	98	20	observer	observer	NOUN
ap-2230	98	21	information	information	NOUN
ap-2230	98	22	set	set	VERB
ap-2230	98	23	monte	monte	PROPN
ap-2230	98	24	carlo	carlo	PROPN
ap-2230	98	25	tree	tree	NOUN
ap-2230	98	26	search	search	NOUN
ap-2230	98	27	”	"	PUNCT
ap-2230	98	28	and	and	CCONJ
ap-2230	98	29	in	in	ADP
ap-2230	98	30	[	[	X
ap-2230	98	31	5	5	NUM
ap-2230	98	32	]	]	PUNCT
ap-2230	98	33	as	as	ADP
ap-2230	98	34	“	"	PUNCT
ap-2230	98	35	multiple	multiple	ADJ
ap-2230	98	36	monte	monte	PROPN
ap-2230	98	37	carlo	carlo	PROPN
ap-2230	98	38	tree	tree	NOUN
ap-2230	98	39	search	search	PROPN
ap-2230	98	40	”	"	PUNCT
ap-2230	98	41	.	.	PUNCT
ap-2230	99	1	the	the	DET
ap-2230	99	2	pseudo	pseudo	NOUN
ap-2230	99	3	-	-	NOUN
ap-2230	99	4	code	code	NOUN
ap-2230	99	5	for	for	ADP
ap-2230	99	6	a	a	DET
ap-2230	99	7	single	single	ADJ
ap-2230	99	8	iteration	iteration	NOUN
ap-2230	99	9	of	of	ADP
ap-2230	99	10	the	the	DET
ap-2230	99	11	algorithm	algorithm	NOUN
ap-2230	99	12	is	be	AUX
ap-2230	99	13	presented	present	VERB
ap-2230	99	14	in	in	ADP
ap-2230	99	15	algorithm	algorithm	NOUN
ap-2230	99	16	1	1	NUM
ap-2230	99	17	.	.	PUNCT
ap-2230	100	1	it	it	PRON
ap-2230	100	2	starts	start	VERB
ap-2230	100	3	in	in	ADP
ap-2230	100	4	the	the	DET
ap-2230	100	5	root	root	NOUN
ap-2230	100	6	node	node	NOUN
ap-2230	100	7	of	of	ADP
ap-2230	100	8	the	the	DET
ap-2230	100	9	game	game	NOUN
ap-2230	100	10	tree	tree	NOUN
ap-2230	100	11	and	and	CCONJ
ap-2230	100	12	descends	descend	VERB
ap-2230	100	13	the	the	DET
ap-2230	100	14	game	game	NOUN
ap-2230	100	15	tree	tree	NOUN
ap-2230	100	16	towards	towards	ADP
ap-2230	100	17	a	a	DET
ap-2230	100	18	terminal	terminal	ADJ
ap-2230	100	19	state	state	NOUN
ap-2230	100	20	.	.	PUNCT
ap-2230	101	1	the	the	DET
ap-2230	101	2	tree	tree	NOUN
ap-2230	101	3	nodes	node	NOUN
ap-2230	101	4	are	be	AUX
ap-2230	101	5	stored	store	VERB
ap-2230	101	6	in	in	ADP
ap-2230	101	7	the	the	DET
ap-2230	101	8	memory	memory	NOUN
ap-2230	101	9	and	and	CCONJ
ap-2230	101	10	common	common	ADJ
ap-2230	101	11	statistics	statistic	NOUN
ap-2230	101	12	are	be	AUX
ap-2230	101	13	stored	store	VERB
ap-2230	101	14	for	for	ADP
ap-2230	101	15	all	all	DET
ap-2230	101	16	nodes	node	NOUN
ap-2230	101	17	in	in	ADP
ap-2230	101	18	each	each	DET
ap-2230	101	19	information	information	NOUN
ap-2230	101	20	set	set	VERB
ap-2230	101	21	.	.	PUNCT
ap-2230	102	1	if	if	SCONJ
ap-2230	102	2	the	the	DET
ap-2230	102	3	function	function	NOUN
ap-2230	102	4	is	be	AUX
ap-2230	102	5	called	call	VERB
ap-2230	102	6	with	with	ADP
ap-2230	102	7	a	a	DET
ap-2230	102	8	terminal	terminal	ADJ
ap-2230	102	9	state	state	NOUN
ap-2230	102	10	,	,	PUNCT
ap-2230	102	11	it	it	PRON
ap-2230	102	12	just	just	ADV
ap-2230	102	13	returns	return	VERB
ap-2230	102	14	its	its	PRON
ap-2230	102	15	utility	utility	NOUN
ap-2230	102	16	for	for	ADP
ap-2230	102	17	the	the	DET
ap-2230	102	18	first	first	ADJ
ap-2230	102	19	player	player	NOUN
ap-2230	102	20	(	(	PUNCT
ap-2230	102	21	line	line	NOUN
ap-2230	102	22	1	1	NUM
ap-2230	102	23	)	)	PUNCT
ap-2230	102	24	.	.	PUNCT
ap-2230	103	1	if	if	SCONJ
ap-2230	103	2	nature	nature	NOUN
ap-2230	103	3	selects	select	VERB
ap-2230	103	4	an	an	DET
ap-2230	103	5	action	action	NOUN
ap-2230	103	6	in	in	ADP
ap-2230	103	7	the	the	DET
ap-2230	103	8	current	current	ADJ
ap-2230	103	9	node	node	NOUN
ap-2230	103	10	(	(	PUNCT
ap-2230	103	11	line	line	NOUN
ap-2230	103	12	2	2	NUM
ap-2230	103	13	)	)	PUNCT
ap-2230	103	14	,	,	PUNCT
ap-2230	103	15	it	it	PRON
ap-2230	103	16	is	be	AUX
ap-2230	103	17	selected	select	VERB
ap-2230	103	18	from	from	ADP
ap-2230	103	19	the	the	DET
ap-2230	103	20	commonly	commonly	ADV
ap-2230	103	21	known	know	VERB
ap-2230	103	22	nature	nature	NOUN
ap-2230	103	23	distribution	distribution	NOUN
ap-2230	103	24	and	and	CCONJ
ap-2230	103	25	the	the	DET
ap-2230	103	26	algorithm	algorithm	NOUN
ap-2230	103	27	is	be	AUX
ap-2230	103	28	called	call	VERB
ap-2230	103	29	recursively	recursively	ADV
ap-2230	103	30	on	on	ADP
ap-2230	103	31	the	the	DET
ap-2230	103	32	resulting	result	VERB
ap-2230	103	33	state	state	NOUN
ap-2230	103	34	(	(	PUNCT
ap-2230	103	35	line	line	NOUN
ap-2230	103	36	4	4	NUM
ap-2230	103	37	)	)	PUNCT
ap-2230	103	38	.	.	PUNCT
ap-2230	104	1	otherwise	otherwise	ADV
ap-2230	104	2	,	,	PUNCT
ap-2230	104	3	the	the	DET
ap-2230	104	4	node	node	NOUN
ap-2230	104	5	is	be	AUX
ap-2230	104	6	added	add	VERB
ap-2230	104	7	to	to	ADP
ap-2230	104	8	memory	memory	NOUN
ap-2230	104	9	if	if	SCONJ
ap-2230	104	10	it	it	PRON
ap-2230	104	11	is	be	AUX
ap-2230	104	12	not	not	PART
ap-2230	104	13	already	already	ADV
ap-2230	104	14	present	present	ADJ
ap-2230	104	15	(	(	PUNCT
ap-2230	104	16	line	line	NOUN
ap-2230	104	17	5	5	NUM
ap-2230	104	18	)	)	PUNCT
ap-2230	104	19	.	.	PUNCT
ap-2230	105	1	the	the	DET
ap-2230	105	2	statistics	statistic	NOUN
ap-2230	105	3	for	for	ADP
ap-2230	105	4	the	the	DET
ap-2230	105	5	information	information	NOUN
ap-2230	105	6	set	set	VERB
ap-2230	105	7	it	it	PRON
ap-2230	105	8	belongs	belong	VERB
ap-2230	105	9	to	to	PART
ap-2230	105	10	are	are	AUX
ap-2230	105	11	accessed	access	VERB
ap-2230	105	12	(	(	PUNCT
ap-2230	105	13	line	line	NOUN
ap-2230	105	14	6	6	NUM
ap-2230	105	15	)	)	PUNCT
ap-2230	105	16	and	and	CCONJ
ap-2230	105	17	used	use	VERB
ap-2230	105	18	to	to	PART
ap-2230	105	19	make	make	VERB
ap-2230	105	20	the	the	DET
ap-2230	105	21	decision	decision	NOUN
ap-2230	105	22	about	about	ADP
ap-2230	105	23	the	the	DET
ap-2230	105	24	action	action	NOUN
ap-2230	105	25	to	to	PART
ap-2230	105	26	select	select	VERB
ap-2230	105	27	(	(	PUNCT
ap-2230	105	28	line	line	NOUN
ap-2230	105	29	8)	8)	NUM
ap-2230	105	30	.	.	PUNCT
ap-2230	106	1	this	this	DET
ap-2230	106	2	action	action	NOUN
ap-2230	106	3	is	be	AUX
ap-2230	106	4	then	then	ADV
ap-2230	106	5	executed	execute	VERB
ap-2230	106	6	on	on	ADP
ap-2230	106	7	the	the	DET
ap-2230	106	8	game	game	NOUN
ap-2230	106	9	state	state	NOUN
ap-2230	106	10	,	,	PUNCT
ap-2230	106	11	producing	produce	VERB
ap-2230	106	12	the	the	DET
ap-2230	106	13	following	following	ADJ
ap-2230	106	14	game	game	NOUN
ap-2230	106	15	state	state	NOUN
ap-2230	106	16	,	,	PUNCT
ap-2230	106	17	which	which	PRON
ap-2230	106	18	is	be	AUX
ap-2230	106	19	used	use	VERB
ap-2230	106	20	in	in	ADP
ap-2230	106	21	a	a	DET
ap-2230	106	22	recursive	recursive	ADJ
ap-2230	106	23	call	call	NOUN
ap-2230	106	24	of	of	ADP
ap-2230	106	25	the	the	DET
ap-2230	106	26	function	function	NOUN
ap-2230	106	27	(	(	PUNCT
ap-2230	106	28	line	line	NOUN
ap-2230	106	29	9	9	NUM
ap-2230	106	30	)	)	PUNCT
ap-2230	106	31	.	.	PUNCT
ap-2230	107	1	this	this	DET
ap-2230	107	2	process	process	NOUN
ap-2230	107	3	is	be	AUX
ap-2230	107	4	continued	continue	VERB
ap-2230	107	5	until	until	SCONJ
ap-2230	107	6	a	a	DET
ap-2230	107	7	state	state	NOUN
ap-2230	107	8	belonging	belong	VERB
ap-2230	107	9	to	to	ADP
ap-2230	107	10	a	a	DET
ap-2230	107	11	new	new	ADJ
ap-2230	107	12	information	information	NOUN
ap-2230	107	13	set	set	NOUN
ap-2230	107	14	is	be	AUX
ap-2230	107	15	reached	reach	VERB
ap-2230	107	16	(	(	PUNCT
ap-2230	107	17	line	line	NOUN
ap-2230	107	18	10	10	NUM
ap-2230	107	19	)	)	PUNCT
ap-2230	107	20	.	.	PUNCT
ap-2230	108	1	this	this	PRON
ap-2230	108	2	is	be	AUX
ap-2230	108	3	the	the	DET
ap-2230	108	4	end	end	NOUN
ap-2230	108	5	of	of	ADP
ap-2230	108	6	the	the	DET
ap-2230	108	7	selection	selection	NOUN
ap-2230	108	8	stage	stage	NOUN
ap-2230	108	9	,	,	PUNCT
ap-2230	108	10	and	and	CCONJ
ap-2230	108	11	the	the	DET
ap-2230	108	12	expansion	expansion	NOUN
ap-2230	108	13	consists	consist	VERB
ap-2230	108	14	of	of	ADP
ap-2230	108	15	creating	create	VERB
ap-2230	108	16	new	new	ADJ
ap-2230	108	17	is	is	NOUN
ap-2230	108	18	-	-	PUNCT
ap-2230	108	19	mcts(h	mcts(h	NOUN
ap-2230	108	20	)	)	PUNCT
ap-2230	108	21	1	1	NUM
ap-2230	108	22	:	:	PUNCT
ap-2230	108	23	if	if	SCONJ
ap-2230	108	24	h	h	NOUN
ap-2230	108	25	is	be	AUX
ap-2230	108	26	terminal	terminal	ADJ
ap-2230	108	27	(	(	PUNCT
ap-2230	108	28	h	h	NOUN
ap-2230	108	29	∈	∈	PROPN
ap-2230	108	30	z	z	PROPN
ap-2230	108	31	)	)	PUNCT
ap-2230	108	32	then	then	ADV
ap-2230	108	33	return	return	VERB
ap-2230	108	34	u1(h	u1(h	ADV
ap-2230	108	35	)	)	PUNCT
ap-2230	108	36	2	2	NUM
ap-2230	108	37	:	:	PUNCT
ap-2230	108	38	if	if	SCONJ
ap-2230	108	39	h	h	NOUN
ap-2230	108	40	is	be	AUX
ap-2230	108	41	a	a	DET
ap-2230	108	42	chance	chance	NOUN
ap-2230	108	43	node	node	NOUN
ap-2230	108	44	(	(	PUNCT
ap-2230	108	45	p	p	X
ap-2230	108	46	(	(	PUNCT
ap-2230	108	47	h	h	NOUN
ap-2230	108	48	)	)	PUNCT
ap-2230	108	49	=	=	SYM
ap-2230	108	50	c	c	X
ap-2230	108	51	)	)	PUNCT
ap-2230	108	52	then	then	ADV
ap-2230	108	53	3	3	X
ap-2230	108	54	:	:	PUNCT
ap-2230	108	55	a	a	DET
ap-2230	108	56	=	=	PUNCT
ap-2230	108	57	random	random	ADJ
ap-2230	108	58	chance	chance	NOUN
ap-2230	108	59	action	action	NOUN
ap-2230	108	60	from	from	ADP
ap-2230	108	61	ac(h	ac(h	VERB
ap-2230	108	62	)	)	PUNCT
ap-2230	108	63	4	4	NUM
ap-2230	108	64	:	:	PUNCT
ap-2230	108	65	return	return	NOUN
ap-2230	108	66	is	be	AUX
ap-2230	108	67	-	-	PUNCT
ap-2230	108	68	mcts(t	mcts(t	VERB
ap-2230	108	69	(	(	PUNCT
ap-2230	108	70	h	h	NOUN
ap-2230	108	71	,	,	PUNCT
ap-2230	108	72	a	a	NOUN
ap-2230	108	73	)	)	PUNCT
ap-2230	108	74	)	)	PUNCT
ap-2230	109	1	5	5	NUM
ap-2230	109	2	:	:	PUNCT
ap-2230	109	3	if	if	SCONJ
ap-2230	109	4	h	h	PRON
ap-2230	109	5	not	not	PART
ap-2230	109	6	in	in	ADP
ap-2230	109	7	memory	memory	NOUN
ap-2230	109	8	then	then	ADV
ap-2230	109	9	add	add	VERB
ap-2230	109	10	h	h	NOUN
ap-2230	109	11	to	to	PART
ap-2230	109	12	memory	memory	VERB
ap-2230	109	13	6	6	NUM
ap-2230	109	14	:	:	PUNCT
ap-2230	109	15	is	be	AUX
ap-2230	109	16	=	=	VERB
ap-2230	109	17	information	information	NOUN
ap-2230	109	18	set	set	VERB
ap-2230	109	19	for	for	ADP
ap-2230	109	20	state	state	NOUN
ap-2230	109	21	h	h	NOUN
ap-2230	109	22	7	7	NUM
ap-2230	109	23	:	:	PUNCT
ap-2230	109	24	if	if	SCONJ
ap-2230	109	25	is	be	AUX
ap-2230	109	26	is	be	AUX
ap-2230	109	27	not	not	PART
ap-2230	109	28	null	null	ADJ
ap-2230	109	29	then	then	ADV
ap-2230	109	30	8	8	NUM
ap-2230	109	31	:	:	PUNCT
ap-2230	109	32	a	a	DET
ap-2230	109	33	=	=	PUNCT
ap-2230	109	34	select(is	select(is	PROPN
ap-2230	109	35	)	)	PUNCT
ap-2230	109	36	9	9	NUM
ap-2230	109	37	:	:	SYM
ap-2230	109	38	v	v	NOUN
ap-2230	109	39	=	=	PUNCT
ap-2230	109	40	is	be	AUX
ap-2230	109	41	-	-	PUNCT
ap-2230	109	42	mcts(t	mcts(t	VERB
ap-2230	109	43	(	(	PUNCT
ap-2230	109	44	h	h	NOUN
ap-2230	109	45	,	,	PUNCT
ap-2230	109	46	a	a	NOUN
ap-2230	109	47	)	)	PUNCT
ap-2230	109	48	)	)	PUNCT
ap-2230	109	49	10	10	NUM
ap-2230	109	50	:	:	PUNCT
ap-2230	109	51	else	else	ADV
ap-2230	109	52	11	11	NUM
ap-2230	109	53	:	:	PUNCT
ap-2230	109	54	add	add	VERB
ap-2230	109	55	new	new	ADJ
ap-2230	109	56	is	be	AUX
ap-2230	109	57	for	for	SCONJ
ap-2230	109	58	h	h	NOUN
ap-2230	109	59	to	to	PART
ap-2230	109	60	memory	memory	NOUN
ap-2230	109	61	12	12	NUM
ap-2230	109	62	:	:	PUNCT
ap-2230	109	63	a	a	DET
ap-2230	109	64	=	=	PUNCT
ap-2230	109	65	select(is	select(is	PROPN
ap-2230	109	66	)	)	PUNCT
ap-2230	109	67	13	13	NUM
ap-2230	109	68	:	:	SYM
ap-2230	109	69	v	v	NOUN
ap-2230	109	70	=	=	SYM
ap-2230	109	71	simulate(t	simulate(t	PROPN
ap-2230	109	72	(	(	PUNCT
ap-2230	109	73	h	h	NOUN
ap-2230	109	74	,	,	PUNCT
ap-2230	109	75	a	a	NOUN
ap-2230	109	76	)	)	PUNCT
ap-2230	109	77	)	)	PUNCT
ap-2230	109	78	14	14	NUM
ap-2230	109	79	:	:	PUNCT
ap-2230	109	80	update(is	update(is	PROPN
ap-2230	109	81	,	,	PUNCT
ap-2230	109	82	a	a	DET
ap-2230	109	83	,	,	PUNCT
ap-2230	109	84	v	v	NOUN
ap-2230	109	85	)	)	PUNCT
ap-2230	109	86	15	15	NUM
ap-2230	109	87	:	:	PUNCT
ap-2230	109	88	return	return	VERB
ap-2230	109	89	v	v	ADP
ap-2230	109	90	algorithm	algorithm	NOUN
ap-2230	109	91	1	1	NUM
ap-2230	109	92	.	.	PUNCT
ap-2230	109	93	information	information	NOUN
ap-2230	109	94	set	set	VERB
ap-2230	109	95	monte	monte	PROPN
ap-2230	109	96	carlo	carlo	PROPN
ap-2230	109	97	tree	tree	NOUN
ap-2230	109	98	search	search	NOUN
ap-2230	109	99	(	(	PUNCT
ap-2230	109	100	empty	empty	ADJ
ap-2230	109	101	)	)	PUNCT
ap-2230	109	102	statistics	statistic	NOUN
ap-2230	109	103	for	for	ADP
ap-2230	109	104	the	the	DET
ap-2230	109	105	information	information	NOUN
ap-2230	109	106	set	set	NOUN
ap-2230	109	107	(	(	PUNCT
ap-2230	109	108	line	line	NOUN
ap-2230	109	109	11	11	NUM
ap-2230	109	110	)	)	PUNCT
ap-2230	109	111	.	.	PUNCT
ap-2230	110	1	the	the	DET
ap-2230	110	2	specific	specific	ADJ
ap-2230	110	3	data	data	NOUN
ap-2230	110	4	structures	structure	NOUN
ap-2230	110	5	depend	depend	VERB
ap-2230	110	6	on	on	ADP
ap-2230	110	7	the	the	DET
ap-2230	110	8	selection	selection	NOUN
ap-2230	110	9	function	function	NOUN
ap-2230	110	10	.	.	PUNCT
ap-2230	111	1	at	at	ADP
ap-2230	111	2	this	this	DET
ap-2230	111	3	point	point	NOUN
ap-2230	111	4	,	,	PUNCT
ap-2230	111	5	an	an	DET
ap-2230	111	6	action	action	NOUN
ap-2230	111	7	is	be	AUX
ap-2230	111	8	selected	select	VERB
ap-2230	111	9	by	by	ADP
ap-2230	111	10	the	the	DET
ap-2230	111	11	selection	selection	NOUN
ap-2230	111	12	function	function	NOUN
ap-2230	111	13	and	and	CCONJ
ap-2230	111	14	the	the	DET
ap-2230	111	15	simulation	simulation	NOUN
ap-2230	111	16	is	be	AUX
ap-2230	111	17	executed	execute	VERB
ap-2230	111	18	to	to	PART
ap-2230	111	19	estimate	estimate	VERB
ap-2230	111	20	the	the	DET
ap-2230	111	21	quality	quality	NOUN
ap-2230	111	22	of	of	ADP
ap-2230	111	23	the	the	DET
ap-2230	111	24	following	follow	VERB
ap-2230	111	25	position	position	NOUN
ap-2230	111	26	(	(	PUNCT
ap-2230	111	27	lines	line	NOUN
ap-2230	111	28	12–13	12–13	NUM
ap-2230	111	29	)	)	PUNCT
ap-2230	111	30	.	.	PUNCT
ap-2230	112	1	the	the	DET
ap-2230	112	2	information	information	NOUN
ap-2230	112	3	sets	set	NOUN
ap-2230	112	4	accessed	access	VERB
ap-2230	112	5	during	during	ADP
ap-2230	112	6	the	the	DET
ap-2230	112	7	iteration	iteration	NOUN
ap-2230	112	8	are	be	AUX
ap-2230	112	9	updated	update	VERB
ap-2230	112	10	by	by	ADP
ap-2230	112	11	the	the	DET
ap-2230	112	12	result	result	NOUN
ap-2230	112	13	of	of	ADP
ap-2230	112	14	the	the	DET
ap-2230	112	15	simulation	simulation	NOUN
ap-2230	112	16	(	(	PUNCT
ap-2230	112	17	line	line	NOUN
ap-2230	112	18	14	14	NUM
ap-2230	112	19	)	)	PUNCT
ap-2230	112	20	when	when	SCONJ
ap-2230	112	21	returning	return	VERB
ap-2230	112	22	from	from	ADP
ap-2230	112	23	the	the	DET
ap-2230	112	24	recursion	recursion	NOUN
ap-2230	112	25	,	,	PUNCT
ap-2230	112	26	and	and	CCONJ
ap-2230	112	27	the	the	DET
ap-2230	112	28	next	next	ADJ
ap-2230	112	29	iteration	iteration	NOUN
ap-2230	112	30	can	can	AUX
ap-2230	112	31	start	start	VERB
ap-2230	112	32	.	.	PUNCT
ap-2230	113	1	iterations	iteration	NOUN
ap-2230	113	2	are	be	AUX
ap-2230	113	3	repeated	repeat	VERB
ap-2230	113	4	until	until	SCONJ
ap-2230	113	5	a	a	DET
ap-2230	113	6	given	give	VERB
ap-2230	113	7	time	time	NOUN
ap-2230	113	8	budget	budget	NOUN
ap-2230	113	9	is	be	AUX
ap-2230	113	10	spent	spend	VERB
ap-2230	113	11	.	.	PUNCT
ap-2230	114	1	the	the	DET
ap-2230	114	2	functions	function	NOUN
ap-2230	114	3	select	select	VERB
ap-2230	114	4	and	and	CCONJ
ap-2230	114	5	update	update	VERB
ap-2230	114	6	in	in	ADP
ap-2230	114	7	the	the	DET
ap-2230	114	8	pseudo	pseudo	NOUN
ap-2230	114	9	-	-	NOUN
ap-2230	114	10	code	code	NOUN
ap-2230	114	11	can	can	AUX
ap-2230	114	12	be	be	AUX
ap-2230	114	13	implemented	implement	VERB
ap-2230	114	14	by	by	ADP
ap-2230	114	15	a	a	DET
ap-2230	114	16	suitable	suitable	ADJ
ap-2230	114	17	selection	selection	NOUN
ap-2230	114	18	function	function	NOUN
ap-2230	114	19	,	,	PUNCT
ap-2230	114	20	such	such	ADJ
ap-2230	114	21	as	as	ADP
ap-2230	114	22	uct	uct	PROPN
ap-2230	114	23	(	(	PUNCT
ap-2230	114	24	with	with	ADP
ap-2230	114	25	the	the	DET
ap-2230	114	26	negative	negative	NOUN
ap-2230	114	27	of	of	ADP
ap-2230	114	28	the	the	DET
ap-2230	114	29	received	receive	VERB
ap-2230	114	30	value	value	NOUN
ap-2230	114	31	for	for	ADP
ap-2230	114	32	the	the	DET
ap-2230	114	33	opponent	opponent	NOUN
ap-2230	114	34	)	)	PUNCT
ap-2230	114	35	,	,	PUNCT
ap-2230	114	36	and	and	CCONJ
ap-2230	114	37	simulate	simulate	VERB
ap-2230	114	38	can	can	AUX
ap-2230	114	39	be	be	AUX
ap-2230	114	40	either	either	CCONJ
ap-2230	114	41	completely	completely	ADV
ap-2230	114	42	random	random	ADJ
ap-2230	114	43	,	,	PUNCT
ap-2230	114	44	or	or	CCONJ
ap-2230	114	45	a	a	DET
ap-2230	114	46	domain	domain	NOUN
ap-2230	114	47	dependent	dependent	ADJ
ap-2230	114	48	simulation	simulation	NOUN
ap-2230	114	49	,	,	PUNCT
ap-2230	114	50	as	as	ADP
ap-2230	114	51	in	in	ADP
ap-2230	114	52	perfect	perfect	ADJ
ap-2230	114	53	information	information	NOUN
ap-2230	114	54	mcts	mct	NOUN
ap-2230	114	55	.	.	PUNCT
ap-2230	115	1	in	in	ADP
ap-2230	115	2	the	the	DET
ap-2230	115	3	following	following	ADJ
ap-2230	115	4	section	section	NOUN
ap-2230	115	5	,	,	PUNCT
ap-2230	115	6	we	we	PRON
ap-2230	115	7	discuss	discuss	VERB
ap-2230	115	8	a	a	DET
ap-2230	115	9	possible	possible	ADJ
ap-2230	115	10	selection	selection	NOUN
ap-2230	115	11	function	function	NOUN
ap-2230	115	12	to	to	PART
ap-2230	115	13	be	be	AUX
ap-2230	115	14	used	use	VERB
ap-2230	115	15	with	with	ADP
ap-2230	115	16	the	the	DET
ap-2230	115	17	algorithm	algorithm	NOUN
ap-2230	115	18	.	.	PUNCT
ap-2230	116	1	during	during	ADP
ap-2230	116	2	an	an	DET
ap-2230	116	3	actual	actual	ADJ
ap-2230	116	4	match	match	NOUN
ap-2230	116	5	,	,	PUNCT
ap-2230	116	6	the	the	DET
ap-2230	116	7	player	player	NOUN
ap-2230	116	8	using	use	VERB
ap-2230	116	9	this	this	DET
ap-2230	116	10	algorithm	algorithm	NOUN
ap-2230	116	11	does	do	AUX
ap-2230	116	12	not	not	PART
ap-2230	116	13	always	always	ADV
ap-2230	116	14	start	start	VERB
ap-2230	116	15	iterations	iteration	NOUN
ap-2230	116	16	from	from	ADP
ap-2230	116	17	the	the	DET
ap-2230	116	18	root	root	NOUN
ap-2230	116	19	state	state	NOUN
ap-2230	116	20	of	of	ADP
ap-2230	116	21	the	the	DET
ap-2230	116	22	game	game	NOUN
ap-2230	116	23	,	,	PUNCT
ap-2230	116	24	but	but	CCONJ
ap-2230	116	25	it	it	PRON
ap-2230	116	26	rather	rather	ADV
ap-2230	116	27	maintains	maintain	VERB
ap-2230	116	28	the	the	DET
ap-2230	116	29	current	current	ADJ
ap-2230	116	30	information	information	NOUN
ap-2230	116	31	set	set	VERB
ap-2230	116	32	in	in	ADP
ap-2230	116	33	the	the	DET
ap-2230	116	34	form	form	NOUN
ap-2230	116	35	of	of	ADP
ap-2230	116	36	a	a	DET
ap-2230	116	37	collection	collection	NOUN
ap-2230	116	38	of	of	ADP
ap-2230	116	39	all	all	DET
ap-2230	116	40	states	state	NOUN
ap-2230	116	41	that	that	PRON
ap-2230	116	42	can	can	AUX
ap-2230	116	43	be	be	AUX
ap-2230	116	44	the	the	DET
ap-2230	116	45	current	current	ADJ
ap-2230	116	46	state	state	NOUN
ap-2230	116	47	of	of	ADP
ap-2230	116	48	the	the	DET
ap-2230	116	49	game	game	NOUN
ap-2230	116	50	.	.	PUNCT
ap-2230	117	1	after	after	SCONJ
ap-2230	117	2	the	the	DET
ap-2230	117	3	player	player	NOUN
ap-2230	117	4	using	use	VERB
ap-2230	117	5	is	be	AUX
ap-2230	117	6	-	-	PUNCT
ap-2230	117	7	mcts	mct	NOUN
ap-2230	117	8	selects	select	NOUN
ap-2230	117	9	an	an	DET
ap-2230	117	10	action	action	NOUN
ap-2230	117	11	,	,	PUNCT
ap-2230	117	12	it	it	PRON
ap-2230	117	13	applies	apply	VERB
ap-2230	117	14	the	the	DET
ap-2230	117	15	action	action	NOUN
ap-2230	117	16	to	to	ADP
ap-2230	117	17	all	all	PRON
ap-2230	117	18	of	of	ADP
ap-2230	117	19	these	these	DET
ap-2230	117	20	states	state	NOUN
ap-2230	117	21	to	to	PART
ap-2230	117	22	determine	determine	VERB
ap-2230	117	23	the	the	DET
ap-2230	117	24	possible	possible	ADJ
ap-2230	117	25	following	follow	VERB
ap-2230	117	26	states	state	NOUN
ap-2230	117	27	.	.	PUNCT
ap-2230	118	1	when	when	SCONJ
ap-2230	118	2	the	the	DET
ap-2230	118	3	opponent	opponent	NOUN
ap-2230	118	4	executes	execute	VERB
ap-2230	118	5	some	some	DET
ap-2230	118	6	action	action	NOUN
ap-2230	118	7	in	in	ADP
ap-2230	118	8	the	the	DET
ap-2230	118	9	game	game	NOUN
ap-2230	118	10	,	,	PUNCT
ap-2230	118	11	it	it	PRON
ap-2230	118	12	executes	execute	VERB
ap-2230	118	13	all	all	PRON
ap-2230	118	14	of	of	ADP
ap-2230	118	15	the	the	DET
ap-2230	118	16	opponent	opponent	NOUN
ap-2230	118	17	’s	’s	PART
ap-2230	118	18	applicable	applicable	ADJ
ap-2230	118	19	actions	action	NOUN
ap-2230	118	20	in	in	ADP
ap-2230	118	21	the	the	DET
ap-2230	118	22	current	current	ADJ
ap-2230	118	23	information	information	NOUN
ap-2230	118	24	set	set	VERB
ap-2230	118	25	and	and	CCONJ
ap-2230	118	26	keeps	keep	VERB
ap-2230	118	27	only	only	ADV
ap-2230	118	28	the	the	DET
ap-2230	118	29	resulting	result	VERB
ap-2230	118	30	states	state	NOUN
ap-2230	118	31	that	that	PRON
ap-2230	118	32	generate	generate	VERB
ap-2230	118	33	the	the	DET
ap-2230	118	34	same	same	ADJ
ap-2230	118	35	observations	observation	NOUN
ap-2230	118	36	for	for	ADP
ap-2230	118	37	the	the	DET
ap-2230	118	38	player	player	NOUN
ap-2230	118	39	.	.	PUNCT
ap-2230	119	1	in	in	ADP
ap-2230	119	2	the	the	DET
ap-2230	119	3	search	search	NOUN
ap-2230	119	4	from	from	ADP
ap-2230	119	5	an	an	DET
ap-2230	119	6	inner	inner	ADJ
ap-2230	119	7	information	information	NOUN
ap-2230	119	8	set	set	VERB
ap-2230	119	9	during	during	ADP
ap-2230	119	10	a	a	DET
ap-2230	119	11	match	match	NOUN
ap-2230	119	12	,	,	PUNCT
ap-2230	119	13	the	the	DET
ap-2230	119	14	player	player	NOUN
ap-2230	119	15	chooses	choose	VERB
ap-2230	119	16	for	for	ADP
ap-2230	119	17	each	each	DET
ap-2230	119	18	iteration	iteration	NOUN
ap-2230	119	19	the	the	DET
ap-2230	119	20	initial	initial	ADJ
ap-2230	119	21	state	state	NOUN
ap-2230	119	22	uniformly	uniformly	ADV
ap-2230	119	23	at	at	ADP
ap-2230	119	24	random	random	ADJ
ap-2230	119	25	from	from	ADP
ap-2230	119	26	all	all	DET
ap-2230	119	27	states	state	NOUN
ap-2230	119	28	in	in	ADP
ap-2230	119	29	the	the	DET
ap-2230	119	30	current	current	ADJ
ap-2230	119	31	information	information	NOUN
ap-2230	119	32	set	set	VERB
ap-2230	119	33	[	[	X
ap-2230	119	34	3	3	NUM
ap-2230	119	35	]	]	PUNCT
ap-2230	119	36	.	.	PUNCT
ap-2230	120	1	3.1	3.1	NUM
ap-2230	120	2	.	.	PUNCT
ap-2230	120	3	selection	selection	NOUN
ap-2230	120	4	functions	function	NOUN
ap-2230	120	5	3.1.1	3.1.1	NUM
ap-2230	120	6	.	.	PUNCT
ap-2230	121	1	upper	upper	ADJ
ap-2230	121	2	confidence	confidence	NOUN
ap-2230	121	3	bounds	bound	VERB
ap-2230	121	4	the	the	DET
ap-2230	121	5	selection	selection	NOUN
ap-2230	121	6	function	function	NOUN
ap-2230	121	7	that	that	PRON
ap-2230	121	8	was	be	AUX
ap-2230	121	9	suggested	suggest	VERB
ap-2230	121	10	for	for	ADP
ap-2230	121	11	ismcts	ismct	NOUN
ap-2230	121	12	in	in	ADP
ap-2230	121	13	both	both	PRON
ap-2230	121	14	[	[	X
ap-2230	121	15	4	4	NUM
ap-2230	121	16	]	]	PUNCT
ap-2230	121	17	and	and	CCONJ
ap-2230	121	18	[	[	X
ap-2230	121	19	3	3	X
ap-2230	121	20	]	]	PUNCT
ap-2230	121	21	is	be	AUX
ap-2230	121	22	the	the	DET
ap-2230	121	23	same	same	ADJ
ap-2230	121	24	modification	modification	NOUN
ap-2230	121	25	of	of	ADP
ap-2230	121	26	335	335	NUM
ap-2230	121	27	viliam	viliam	PROPN
ap-2230	121	28	lisý	lisý	PROPN
ap-2230	121	29	acta	acta	PROPN
ap-2230	121	30	polytechnica	polytechnica	PROPN
ap-2230	121	31	input	input	NOUN
ap-2230	121	32	:	:	PUNCT
ap-2230	121	33	k	k	X
ap-2230	121	34	–	–	PUNCT
ap-2230	121	35	number	number	NOUN
ap-2230	121	36	of	of	ADP
ap-2230	121	37	actions	action	NOUN
ap-2230	121	38	;	;	PUNCT
ap-2230	121	39	c	c	X
ap-2230	121	40	–	–	PUNCT
ap-2230	121	41	exploration	exploration	NOUN
ap-2230	121	42	parameter	parameter	NOUN
ap-2230	121	43	1	1	NUM
ap-2230	121	44	:	:	PUNCT
ap-2230	121	45	∀ini	∀ini	PROPN
ap-2230	121	46	=	=	SYM
ap-2230	121	47	0	0	PROPN
ap-2230	121	48	,	,	PUNCT
ap-2230	121	49	x̄i	x̄i	PROPN
ap-2230	121	50	=	=	SYM
ap-2230	121	51	0	0	NUM
ap-2230	121	52	2	2	NUM
ap-2230	121	53	:	:	PUNCT
ap-2230	121	54	for	for	ADP
ap-2230	121	55	n	n	NOUN
ap-2230	121	56	=	=	SYM
ap-2230	121	57	1	1	NUM
ap-2230	121	58	,	,	PUNCT
ap-2230	121	59	2	2	NUM
ap-2230	121	60	,	,	PUNCT
ap-2230	121	61	.	.	PUNCT
ap-2230	121	62	.	.	PUNCT
ap-2230	122	1	.	.	PUNCT
ap-2230	123	1	do	do	VERB
ap-2230	123	2	3	3	NUM
ap-2230	123	3	:	:	PUNCT
ap-2230	124	1	i	i	PRON
ap-2230	124	2	=	=	NOUN
ap-2230	124	3	arg	arg	NOUN
ap-2230	124	4	maxi	maxi	NOUN
ap-2230	124	5	x̄i	x̄i	PROPN
ap-2230	125	1	+	+	CCONJ
ap-2230	125	2	c	c	AUX
ap-2230	125	3	√	√	NUM
ap-2230	125	4	2	2	NUM
ap-2230	125	5	lnn	lnn	NOUN
ap-2230	125	6	ni	ni	NOUN
ap-2230	125	7	4	4	NUM
ap-2230	125	8	:	:	PUNCT
ap-2230	125	9	use	use	VERB
ap-2230	125	10	action	action	NOUN
ap-2230	125	11	i	i	PRON
ap-2230	125	12	and	and	CCONJ
ap-2230	125	13	receive	receive	VERB
ap-2230	125	14	reward	reward	NOUN
ap-2230	125	15	r	r	NOUN
ap-2230	125	16	5	5	NUM
ap-2230	125	17	:	:	PUNCT
ap-2230	125	18	x̄i	x̄i	PROPN
ap-2230	125	19	=	=	PUNCT
ap-2230	126	1	nix̄i+r	nix̄i+r	NOUN
ap-2230	127	1	ni+1	ni+1	DET
ap-2230	127	2	6	6	NUM
ap-2230	127	3	:	:	PUNCT
ap-2230	127	4	ni	ni	PROPN
ap-2230	127	5	=	=	PROPN
ap-2230	127	6	ni	ni	PROPN
ap-2230	127	7	+	+	PROPN
ap-2230	127	8	1	1	NUM
ap-2230	127	9	algorithm	algorithm	NOUN
ap-2230	127	10	2	2	NUM
ap-2230	127	11	.	.	PUNCT
ap-2230	128	1	uct	uct	PROPN
ap-2230	128	2	:	:	PUNCT
ap-2230	128	3	upper	upper	ADJ
ap-2230	128	4	confidence	confidence	NOUN
ap-2230	128	5	bounds	bound	VERB
ap-2230	128	6	algorithm	algorithm	NOUN
ap-2230	128	7	for	for	ADP
ap-2230	128	8	selection	selection	NOUN
ap-2230	128	9	in	in	ADP
ap-2230	128	10	monte	monte	PROPN
ap-2230	128	11	carlo	carlo	PROPN
ap-2230	128	12	tree	tree	NOUN
ap-2230	128	13	search	search	NOUN
ap-2230	128	14	.	.	PUNCT
ap-2230	129	1	input	input	NOUN
ap-2230	129	2	:	:	PUNCT
ap-2230	130	1	k	k	X
ap-2230	130	2	–	–	PUNCT
ap-2230	130	3	number	number	NOUN
ap-2230	130	4	of	of	ADP
ap-2230	130	5	actions	action	NOUN
ap-2230	130	6	;	;	PUNCT
ap-2230	130	7	γ	γ	X
ap-2230	130	8	–	–	PUNCT
ap-2230	130	9	exploration	exploration	NOUN
ap-2230	130	10	parameter	parameter	NOUN
ap-2230	130	11	1	1	NUM
ap-2230	130	12	:	:	PUNCT
ap-2230	130	13	∀ix̂i	∀ix̂i	PROPN
ap-2230	130	14	=	=	SYM
ap-2230	130	15	0	0	NUM
ap-2230	130	16	2	2	NUM
ap-2230	130	17	:	:	PUNCT
ap-2230	130	18	for	for	ADP
ap-2230	130	19	t	t	NOUN
ap-2230	130	20	=	=	SYM
ap-2230	130	21	1	1	NUM
ap-2230	130	22	,	,	PUNCT
ap-2230	130	23	2	2	NUM
ap-2230	130	24	,	,	PUNCT
ap-2230	130	25	.	.	PUNCT
ap-2230	130	26	.	.	PUNCT
ap-2230	131	1	.	.	PUNCT
ap-2230	132	1	do	do	VERB
ap-2230	132	2	3	3	NUM
ap-2230	132	3	:	:	PUNCT
ap-2230	132	4	∀ipi	∀ipi	NOUN
ap-2230	132	5	=	=	SYM
ap-2230	132	6	exp	exp	PROPN
ap-2230	132	7	(	(	PUNCT
ap-2230	132	8	γk	γk	PROPN
ap-2230	132	9	x̂i)∑k	x̂i)∑k	PROPN
ap-2230	132	10	j=1	j=1	PROPN
ap-2230	132	11	exp	exp	PROPN
ap-2230	132	12	(	(	PUNCT
ap-2230	132	13	γk	γk	NOUN
ap-2230	132	14	x̂j	x̂j	NUM
ap-2230	132	15	)	)	PUNCT
ap-2230	132	16	4	4	NUM
ap-2230	132	17	:	:	PUNCT
ap-2230	132	18	p′i	p′i	NOUN
ap-2230	132	19	=	=	SYM
ap-2230	132	20	(	(	PUNCT
ap-2230	132	21	1−	1−	NUM
ap-2230	132	22	γ)pi	γ)pi	NOUN
ap-2230	132	23	+	+	CCONJ
ap-2230	132	24	γ	γ	X
ap-2230	132	25	k	k	PROPN
ap-2230	132	26	5	5	NUM
ap-2230	132	27	:	:	PUNCT
ap-2230	132	28	use	use	VERB
ap-2230	132	29	action	action	NOUN
ap-2230	132	30	it	it	PRON
ap-2230	132	31	from	from	ADP
ap-2230	132	32	distribution	distribution	NOUN
ap-2230	132	33	p′	p′	NOUN
ap-2230	132	34	and	and	CCONJ
ap-2230	132	35	receive	receive	VERB
ap-2230	132	36	reward	reward	NOUN
ap-2230	132	37	r	r	NOUN
ap-2230	132	38	6	6	NUM
ap-2230	132	39	:	:	PUNCT
ap-2230	132	40	x̂it	x̂it	X
ap-2230	132	41	=	=	PUNCT
ap-2230	132	42	x̂it	x̂it	PROPN
ap-2230	132	43	+	+	CCONJ
ap-2230	132	44	r	r	NOUN
ap-2230	132	45	p′	p′	NOUN
ap-2230	132	46	it	it	PRON
ap-2230	132	47	algorithm	algorithm	VERB
ap-2230	132	48	3	3	NUM
ap-2230	132	49	.	.	PUNCT
ap-2230	133	1	exp3	exp3	PROPN
ap-2230	133	2	:	:	PUNCT
ap-2230	133	3	exponential	exponential	NOUN
ap-2230	133	4	weights	weight	NOUN
ap-2230	133	5	for	for	ADP
ap-2230	133	6	exploration	exploration	NOUN
ap-2230	133	7	and	and	CCONJ
ap-2230	133	8	exploitation	exploitation	NOUN
ap-2230	133	9	algorithm	algorithm	NOUN
ap-2230	133	10	for	for	ADP
ap-2230	133	11	selection	selection	NOUN
ap-2230	133	12	in	in	ADP
ap-2230	133	13	mcts	mcts	PROPN
ap-2230	133	14	.	.	PUNCT
ap-2230	134	1	ucb1	ucb1	PROPN
ap-2230	135	1	[	[	X
ap-2230	135	2	16	16	NUM
ap-2230	135	3	]	]	PUNCT
ap-2230	135	4	that	that	PRON
ap-2230	135	5	was	be	AUX
ap-2230	135	6	successful	successful	ADJ
ap-2230	135	7	in	in	ADP
ap-2230	135	8	perfect	perfect	ADJ
ap-2230	135	9	information	information	NOUN
ap-2230	135	10	mcts	mct	NOUN
ap-2230	135	11	[	[	X
ap-2230	135	12	6	6	NUM
ap-2230	135	13	]	]	PUNCT
ap-2230	135	14	.	.	PUNCT
ap-2230	136	1	we	we	PRON
ap-2230	136	2	present	present	VERB
ap-2230	136	3	the	the	DET
ap-2230	136	4	algorithm	algorithm	NOUN
ap-2230	136	5	in	in	ADP
ap-2230	136	6	algorithm	algorithm	NOUN
ap-2230	136	7	2	2	NUM
ap-2230	136	8	and	and	CCONJ
ap-2230	136	9	further	further	ADJ
ap-2230	136	10	refer	refer	VERB
ap-2230	136	11	to	to	ADP
ap-2230	136	12	it	it	PRON
ap-2230	136	13	as	as	ADP
ap-2230	136	14	uct	uct	PROPN
ap-2230	136	15	.	.	PUNCT
ap-2230	137	1	the	the	DET
ap-2230	137	2	algorithm	algorithm	NOUN
ap-2230	137	3	maintains	maintain	VERB
ap-2230	137	4	the	the	DET
ap-2230	137	5	mean	mean	NOUN
ap-2230	137	6	of	of	ADP
ap-2230	137	7	the	the	DET
ap-2230	137	8	rewards	reward	NOUN
ap-2230	137	9	received	receive	VERB
ap-2230	137	10	for	for	ADP
ap-2230	137	11	each	each	DET
ap-2230	137	12	action	action	NOUN
ap-2230	137	13	x̄i	x̄i	PROPN
ap-2230	137	14	and	and	CCONJ
ap-2230	137	15	the	the	DET
ap-2230	137	16	number	number	NOUN
ap-2230	137	17	of	of	ADP
ap-2230	137	18	times	time	NOUN
ap-2230	137	19	each	each	DET
ap-2230	137	20	action	action	NOUN
ap-2230	137	21	has	have	AUX
ap-2230	137	22	been	be	AUX
ap-2230	137	23	used	use	VERB
ap-2230	137	24	ni	ni	PROPN
ap-2230	137	25	.	.	PUNCT
ap-2230	138	1	it	it	PRON
ap-2230	138	2	first	first	ADV
ap-2230	138	3	uses	use	VERB
ap-2230	138	4	each	each	PRON
ap-2230	138	5	of	of	ADP
ap-2230	138	6	the	the	DET
ap-2230	138	7	actions	action	NOUN
ap-2230	138	8	once	once	ADV
ap-2230	138	9	(	(	PUNCT
ap-2230	138	10	the	the	DET
ap-2230	138	11	term	term	NOUN
ap-2230	138	12	with	with	ADP
ap-2230	138	13	zero	zero	NUM
ap-2230	138	14	in	in	ADP
ap-2230	138	15	the	the	DET
ap-2230	138	16	denominator	denominator	NOUN
ap-2230	138	17	is	be	AUX
ap-2230	138	18	defined	define	VERB
ap-2230	138	19	as	as	ADP
ap-2230	138	20	∞	∞	PROPN
ap-2230	138	21	)	)	PUNCT
ap-2230	138	22	and	and	CCONJ
ap-2230	138	23	then	then	ADV
ap-2230	138	24	decides	decide	VERB
ap-2230	138	25	what	what	DET
ap-2230	138	26	action	action	NOUN
ap-2230	138	27	to	to	PART
ap-2230	138	28	use	use	VERB
ap-2230	138	29	based	base	VERB
ap-2230	138	30	on	on	ADP
ap-2230	138	31	the	the	DET
ap-2230	138	32	size	size	NOUN
ap-2230	138	33	of	of	ADP
ap-2230	138	34	the	the	DET
ap-2230	138	35	one	one	NUM
ap-2230	138	36	-	-	PUNCT
ap-2230	138	37	sided	sided	ADJ
ap-2230	138	38	confidence	confidence	NOUN
ap-2230	138	39	interval	interval	NOUN
ap-2230	138	40	on	on	ADP
ap-2230	138	41	the	the	DET
ap-2230	138	42	reward	reward	NOUN
ap-2230	138	43	computed	compute	VERB
ap-2230	138	44	based	base	VERB
ap-2230	138	45	on	on	ADP
ap-2230	138	46	the	the	DET
ap-2230	138	47	cheroff	cheroff	NOUN
ap-2230	138	48	-	-	PUNCT
ap-2230	138	49	hoeffding	hoeffding	NOUN
ap-2230	138	50	bounds	bound	NOUN
ap-2230	138	51	(	(	PUNCT
ap-2230	138	52	line	line	NOUN
ap-2230	138	53	3	3	NUM
ap-2230	138	54	)	)	PUNCT
ap-2230	138	55	.	.	PUNCT
ap-2230	139	1	we	we	PRON
ap-2230	139	2	follow	follow	VERB
ap-2230	139	3	the	the	DET
ap-2230	139	4	suggestion	suggestion	NOUN
ap-2230	139	5	from	from	ADP
ap-2230	139	6	[	[	X
ap-2230	139	7	17	17	NUM
ap-2230	139	8	]	]	PUNCT
ap-2230	139	9	and	and	CCONJ
ap-2230	139	10	break	break	VERB
ap-2230	139	11	ties	tie	NOUN
ap-2230	139	12	on	on	ADP
ap-2230	139	13	line	line	NOUN
ap-2230	139	14	3	3	NUM
ap-2230	139	15	randomly	randomly	ADV
ap-2230	139	16	.	.	PUNCT
ap-2230	140	1	the	the	DET
ap-2230	140	2	strategy	strategy	NOUN
ap-2230	140	3	output	output	NOUN
ap-2230	140	4	as	as	ADP
ap-2230	140	5	the	the	DET
ap-2230	140	6	solution	solution	NOUN
ap-2230	140	7	for	for	ADP
ap-2230	140	8	the	the	DET
ap-2230	140	9	information	information	NOUN
ap-2230	140	10	set	set	VERB
ap-2230	140	11	after	after	SCONJ
ap-2230	140	12	all	all	DET
ap-2230	140	13	simulations	simulation	NOUN
ap-2230	140	14	are	be	AUX
ap-2230	140	15	the	the	DET
ap-2230	140	16	action	action	NOUN
ap-2230	140	17	use	use	NOUN
ap-2230	140	18	times	time	NOUN
ap-2230	140	19	ni	ni	PROPN
ap-2230	140	20	normalized	normalize	VERB
ap-2230	140	21	to	to	PART
ap-2230	140	22	sum	sum	VERB
ap-2230	140	23	to	to	ADP
ap-2230	140	24	one	one	NUM
ap-2230	140	25	.	.	PUNCT
ap-2230	141	1	3.2	3.2	NUM
ap-2230	141	2	.	.	PUNCT
ap-2230	142	1	exponential	exponential	ADJ
ap-2230	142	2	weights	weight	NOUN
ap-2230	142	3	for	for	ADP
ap-2230	142	4	exploration	exploration	NOUN
ap-2230	142	5	and	and	CCONJ
ap-2230	142	6	exploitation	exploitation	NOUN
ap-2230	142	7	uct	uct	PROPN
ap-2230	142	8	is	be	AUX
ap-2230	142	9	a	a	DET
ap-2230	142	10	successful	successful	ADJ
ap-2230	142	11	selection	selection	NOUN
ap-2230	142	12	function	function	NOUN
ap-2230	142	13	for	for	ADP
ap-2230	142	14	perfect	perfect	ADJ
ap-2230	142	15	information	information	NOUN
ap-2230	142	16	problems	problem	NOUN
ap-2230	142	17	,	,	PUNCT
ap-2230	142	18	but	but	CCONJ
ap-2230	142	19	it	it	PRON
ap-2230	142	20	has	have	AUX
ap-2230	142	21	been	be	AUX
ap-2230	142	22	shown	show	VERB
ap-2230	142	23	to	to	PART
ap-2230	142	24	converge	converge	VERB
ap-2230	142	25	to	to	ADP
ap-2230	142	26	an	an	DET
ap-2230	142	27	exploitable	exploitable	ADJ
ap-2230	142	28	strategy	strategy	NOUN
ap-2230	142	29	in	in	ADP
ap-2230	142	30	a	a	DET
ap-2230	142	31	simultaneous	simultaneous	ADJ
ap-2230	142	32	move	move	NOUN
ap-2230	142	33	game	game	NOUN
ap-2230	142	34	[	[	X
ap-2230	142	35	18	18	NUM
ap-2230	142	36	]	]	PUNCT
ap-2230	142	37	,	,	PUNCT
ap-2230	142	38	which	which	PRON
ap-2230	142	39	is	be	AUX
ap-2230	142	40	a	a	DET
ap-2230	142	41	special	special	ADJ
ap-2230	142	42	case	case	NOUN
ap-2230	142	43	of	of	ADP
ap-2230	142	44	imperfect	imperfect	ADJ
ap-2230	142	45	information	information	NOUN
ap-2230	142	46	games	game	NOUN
ap-2230	142	47	.	.	PUNCT
ap-2230	143	1	therefore	therefore	ADV
ap-2230	143	2	[	[	X
ap-2230	143	3	3	3	NUM
ap-2230	143	4	,	,	PUNCT
ap-2230	143	5	8	8	NUM
ap-2230	143	6	]	]	PUNCT
ap-2230	143	7	and	and	CCONJ
ap-2230	143	8	[	[	X
ap-2230	143	9	5	5	X
ap-2230	143	10	]	]	PUNCT
ap-2230	143	11	propose	propose	VERB
ap-2230	143	12	the	the	DET
ap-2230	143	13	use	use	NOUN
ap-2230	143	14	of	of	ADP
ap-2230	143	15	an	an	DET
ap-2230	143	16	alternative	alternative	ADJ
ap-2230	143	17	selection	selection	NOUN
ap-2230	143	18	function	function	NOUN
ap-2230	143	19	exp3	exp3	PROPN
ap-2230	143	20	,	,	PUNCT
ap-2230	143	21	which	which	PRON
ap-2230	143	22	can	can	AUX
ap-2230	143	23	be	be	AUX
ap-2230	143	24	modified	modify	VERB
ap-2230	143	25	to	to	PART
ap-2230	143	26	guarantee	guarantee	VERB
ap-2230	143	27	convergence	convergence	NOUN
ap-2230	143	28	to	to	ADP
ap-2230	143	29	the	the	DET
ap-2230	143	30	optimal	optimal	ADJ
ap-2230	143	31	solution	solution	NOUN
ap-2230	143	32	in	in	ADP
ap-2230	143	33	single	single	ADJ
ap-2230	143	34	-	-	PUNCT
ap-2230	143	35	stage	stage	NOUN
ap-2230	143	36	simultaneous	simultaneous	ADJ
ap-2230	143	37	move	move	NOUN
ap-2230	143	38	games	game	NOUN
ap-2230	143	39	.	.	PUNCT
ap-2230	144	1	exp3	exp3	PROPN
ap-2230	144	2	stores	store	NOUN
ap-2230	144	3	the	the	DET
ap-2230	144	4	estimates	estimate	NOUN
ap-2230	144	5	of	of	ADP
ap-2230	144	6	the	the	DET
ap-2230	144	7	cumulative	cumulative	ADJ
ap-2230	144	8	reward	reward	NOUN
ap-2230	144	9	of	of	ADP
ap-2230	144	10	each	each	DET
ap-2230	144	11	action	action	NOUN
ap-2230	144	12	over	over	ADP
ap-2230	144	13	all	all	DET
ap-2230	144	14	iterations	iteration	NOUN
ap-2230	144	15	,	,	PUNCT
ap-2230	144	16	even	even	ADV
ap-2230	144	17	in	in	ADP
ap-2230	144	18	the	the	DET
ap-2230	144	19	case	case	NOUN
ap-2230	144	20	that	that	SCONJ
ap-2230	144	21	the	the	DET
ap-2230	144	22	action	action	NOUN
ap-2230	144	23	was	be	AUX
ap-2230	144	24	not	not	PART
ap-2230	144	25	selected	select	VERB
ap-2230	144	26	.	.	PUNCT
ap-2230	145	1	in	in	ADP
ap-2230	145	2	the	the	DET
ap-2230	145	3	pseudo	pseudo	NOUN
ap-2230	145	4	-	-	NOUN
ap-2230	145	5	code	code	NOUN
ap-2230	145	6	in	in	ADP
ap-2230	145	7	algorithm	algorithm	NOUN
ap-2230	145	8	3	3	NUM
ap-2230	145	9	,	,	PUNCT
ap-2230	145	10	we	we	PRON
ap-2230	145	11	denote	denote	VERB
ap-2230	145	12	this	this	DET
ap-2230	145	13	value	value	NOUN
ap-2230	145	14	for	for	ADP
ap-2230	145	15	action	action	NOUN
ap-2230	145	16	i	i	PRON
ap-2230	145	17	by	by	ADP
ap-2230	145	18	x̂i	x̂i	PROPN
ap-2230	145	19	.	.	PUNCT
ap-2230	146	1	it	it	PRON
ap-2230	146	2	is	be	AUX
ap-2230	146	3	initially	initially	ADV
ap-2230	146	4	set	set	VERB
ap-2230	146	5	to	to	ADP
ap-2230	146	6	0	0	NUM
ap-2230	146	7	on	on	ADP
ap-2230	146	8	line	line	NOUN
ap-2230	146	9	1	1	NUM
ap-2230	146	10	.	.	PUNCT
ap-2230	147	1	in	in	ADP
ap-2230	147	2	each	each	DET
ap-2230	147	3	iteration	iteration	NOUN
ap-2230	147	4	,	,	PUNCT
ap-2230	147	5	a	a	DET
ap-2230	147	6	probability	probability	NOUN
ap-2230	147	7	distribution	distribution	NOUN
ap-2230	147	8	p	p	NOUN
ap-2230	147	9	is	be	AUX
ap-2230	147	10	created	create	VERB
ap-2230	147	11	proportionally	proportionally	ADV
ap-2230	147	12	to	to	ADP
ap-2230	147	13	input	input	NOUN
ap-2230	147	14	:	:	PUNCT
ap-2230	147	15	k	k	X
ap-2230	147	16	–	–	PUNCT
ap-2230	147	17	number	number	NOUN
ap-2230	147	18	of	of	ADP
ap-2230	147	19	actions	action	NOUN
ap-2230	147	20	;	;	PUNCT
ap-2230	147	21	γt	γt	X
ap-2230	147	22	–	–	PUNCT
ap-2230	147	23	non	non	ADJ
ap-2230	147	24	-	-	ADJ
ap-2230	147	25	increasing	increasing	ADJ
ap-2230	147	26	sequence	sequence	NOUN
ap-2230	147	27	of	of	ADP
ap-2230	147	28	real	real	ADJ
ap-2230	147	29	numbers	number	NOUN
ap-2230	147	30	1	1	NUM
ap-2230	147	31	:	:	PUNCT
ap-2230	147	32	∀i	∀i	X
ap-2230	147	33	ri	ri	NOUN
ap-2230	148	1	=	=	NOUN
ap-2230	148	2	0	0	NUM
ap-2230	148	3	2	2	NUM
ap-2230	148	4	:	:	PUNCT
ap-2230	148	5	for	for	ADP
ap-2230	148	6	t	t	NOUN
ap-2230	148	7	=	=	SYM
ap-2230	148	8	1	1	NUM
ap-2230	148	9	,	,	PUNCT
ap-2230	148	10	2	2	NUM
ap-2230	148	11	,	,	PUNCT
ap-2230	148	12	.	.	PUNCT
ap-2230	148	13	.	.	PUNCT
ap-2230	148	14	.	.	PUNCT
ap-2230	149	1	do	do	VERB
ap-2230	149	2	3	3	NUM
ap-2230	149	3	:	:	PUNCT
ap-2230	149	4	∀i	∀i	NOUN
ap-2230	149	5	r+	r+	PUNCT
ap-2230	149	6	i	i	PRON
ap-2230	149	7	=	=	SYM
ap-2230	149	8	max{0	max{0	PROPN
ap-2230	149	9	,	,	PUNCT
ap-2230	149	10	ri	ri	NOUN
ap-2230	149	11	}	}	PUNCT
ap-2230	149	12	4	4	NUM
ap-2230	149	13	:	:	PUNCT
ap-2230	149	14	if	if	SCONJ
ap-2230	149	15	∑k	∑k	PROPN
ap-2230	149	16	j=1r	j=1r	PROPN
ap-2230	149	17	+	+	CCONJ
ap-2230	149	18	j	j	PROPN
ap-2230	149	19	=	=	SYM
ap-2230	149	20	0	0	PROPN
ap-2230	150	1	then	then	ADV
ap-2230	150	2	5	5	NUM
ap-2230	150	3	:	:	PUNCT
ap-2230	150	4	∀i	∀i	X
ap-2230	150	5	pi	pi	NOUN
ap-2230	150	6	=	=	SYM
ap-2230	150	7	1	1	NUM
ap-2230	150	8	/	/	SYM
ap-2230	150	9	k	k	NOUN
ap-2230	150	10	6	6	NUM
ap-2230	150	11	:	:	PUNCT
ap-2230	150	12	else	else	ADV
ap-2230	150	13	7	7	NUM
ap-2230	150	14	:	:	PUNCT
ap-2230	150	15	∀i	∀i	X
ap-2230	150	16	pi	pi	NOUN
ap-2230	150	17	=	=	PUNCT
ap-2230	150	18	r+	r+	PUNCT
ap-2230	150	19	i∑k	i∑k	VERB
ap-2230	150	20	j=1	j=1	PROPN
ap-2230	150	21	r+	r+	VERB
ap-2230	150	22	j	j	NOUN
ap-2230	150	23	8	8	NUM
ap-2230	150	24	:	:	PUNCT
ap-2230	150	25	p′i	p′i	NOUN
ap-2230	150	26	=	=	SYM
ap-2230	150	27	(	(	PUNCT
ap-2230	150	28	1−	1−	NUM
ap-2230	150	29	γ)pi	γ)pi	NOUN
ap-2230	150	30	+	+	CCONJ
ap-2230	150	31	γ	γ	AUX
ap-2230	150	32	k	k	PROPN
ap-2230	150	33	9	9	NUM
ap-2230	150	34	:	:	PUNCT
ap-2230	150	35	use	use	VERB
ap-2230	150	36	action	action	NOUN
ap-2230	150	37	it	it	PRON
ap-2230	150	38	from	from	ADP
ap-2230	150	39	distribution	distribution	NOUN
ap-2230	150	40	p′	p′	NOUN
ap-2230	150	41	and	and	CCONJ
ap-2230	150	42	receive	receive	VERB
ap-2230	150	43	reward	reward	NOUN
ap-2230	150	44	r	r	NOUN
ap-2230	150	45	10	10	NUM
ap-2230	150	46	:	:	PUNCT
ap-2230	150	47	∀i	∀i	X
ap-2230	150	48	ri	ri	X
ap-2230	150	49	=	=	PUNCT
ap-2230	150	50	ri	ri	PROPN
ap-2230	151	1	−	−	NOUN
ap-2230	151	2	r	r	NOUN
ap-2230	151	3	11	11	NUM
ap-2230	151	4	:	:	PUNCT
ap-2230	151	5	rit	rit	NOUN
ap-2230	151	6	=	=	SYM
ap-2230	151	7	rit	rit	PROPN
ap-2230	151	8	+	+	CCONJ
ap-2230	151	9	r	r	NOUN
ap-2230	151	10	p′	p′	NOUN
ap-2230	151	11	it	it	PRON
ap-2230	151	12	algorithm	algorithm	VERB
ap-2230	151	13	4	4	NUM
ap-2230	151	14	.	.	PUNCT
ap-2230	151	15	rm	rm	PROPN
ap-2230	151	16	:	:	PUNCT
ap-2230	151	17	regret	regret	VERB
ap-2230	151	18	matching	match	VERB
ap-2230	151	19	variant	variant	NOUN
ap-2230	151	20	for	for	ADP
ap-2230	151	21	selection	selection	NOUN
ap-2230	151	22	in	in	ADP
ap-2230	151	23	mcts	mct	NOUN
ap-2230	151	24	.	.	PUNCT
ap-2230	152	1	the	the	DET
ap-2230	152	2	exponential	exponential	NOUN
ap-2230	152	3	of	of	ADP
ap-2230	152	4	these	these	DET
ap-2230	152	5	estimates	estimate	NOUN
ap-2230	152	6	.	.	PUNCT
ap-2230	153	1	the	the	DET
ap-2230	153	2	distribution	distribution	NOUN
ap-2230	153	3	is	be	AUX
ap-2230	153	4	combined	combine	VERB
ap-2230	153	5	with	with	ADP
ap-2230	153	6	a	a	DET
ap-2230	153	7	uniform	uniform	ADJ
ap-2230	153	8	distribution	distribution	NOUN
ap-2230	153	9	with	with	ADP
ap-2230	153	10	probability	probability	NOUN
ap-2230	153	11	γ	γ	NOUN
ap-2230	153	12	to	to	PART
ap-2230	153	13	ensure	ensure	VERB
ap-2230	153	14	sufficient	sufficient	ADJ
ap-2230	153	15	exploration	exploration	NOUN
ap-2230	153	16	of	of	ADP
ap-2230	153	17	all	all	DET
ap-2230	153	18	actions	action	NOUN
ap-2230	153	19	(	(	PUNCT
ap-2230	153	20	line	line	NOUN
ap-2230	153	21	4	4	NUM
ap-2230	153	22	)	)	PUNCT
ap-2230	153	23	.	.	PUNCT
ap-2230	154	1	after	after	SCONJ
ap-2230	154	2	an	an	DET
ap-2230	154	3	action	action	NOUN
ap-2230	154	4	is	be	AUX
ap-2230	154	5	selected	select	VERB
ap-2230	154	6	and	and	CCONJ
ap-2230	154	7	the	the	DET
ap-2230	154	8	reward	reward	NOUN
ap-2230	154	9	is	be	AUX
ap-2230	154	10	received	receive	VERB
ap-2230	154	11	from	from	ADP
ap-2230	154	12	the	the	DET
ap-2230	154	13	recursive	recursive	ADJ
ap-2230	154	14	call	call	NOUN
ap-2230	154	15	of	of	ADP
ap-2230	154	16	is	is	NOUN
ap-2230	154	17	-	-	PUNCT
ap-2230	154	18	mcts	mct	NOUN
ap-2230	154	19	,	,	PUNCT
ap-2230	154	20	the	the	DET
ap-2230	154	21	estimate	estimate	NOUN
ap-2230	154	22	for	for	ADP
ap-2230	154	23	the	the	DET
ap-2230	154	24	performed	perform	VERB
ap-2230	154	25	action	action	NOUN
ap-2230	154	26	is	be	AUX
ap-2230	154	27	updated	update	VERB
ap-2230	154	28	using	use	VERB
ap-2230	154	29	importance	importance	NOUN
ap-2230	154	30	sampling	sampling	NOUN
ap-2230	154	31	(	(	PUNCT
ap-2230	154	32	line	line	NOUN
ap-2230	154	33	6	6	NUM
ap-2230	154	34	)	)	PUNCT
ap-2230	154	35	.	.	PUNCT
ap-2230	155	1	the	the	DET
ap-2230	155	2	reward	reward	NOUN
ap-2230	155	3	is	be	AUX
ap-2230	155	4	weighted	weight	VERB
ap-2230	155	5	by	by	ADP
ap-2230	155	6	one	one	NUM
ap-2230	155	7	over	over	ADP
ap-2230	155	8	the	the	DET
ap-2230	155	9	probability	probability	NOUN
ap-2230	155	10	of	of	ADP
ap-2230	155	11	using	use	VERB
ap-2230	155	12	the	the	DET
ap-2230	155	13	action	action	NOUN
ap-2230	155	14	,	,	PUNCT
ap-2230	155	15	in	in	ADP
ap-2230	155	16	order	order	NOUN
ap-2230	155	17	to	to	PART
ap-2230	155	18	reach	reach	VERB
ap-2230	155	19	the	the	DET
ap-2230	155	20	correct	correct	ADJ
ap-2230	155	21	value	value	NOUN
ap-2230	155	22	in	in	ADP
ap-2230	155	23	expectation	expectation	NOUN
ap-2230	155	24	.	.	PUNCT
ap-2230	156	1	the	the	DET
ap-2230	156	2	strategy	strategy	NOUN
ap-2230	156	3	output	output	NOUN
ap-2230	156	4	as	as	ADP
ap-2230	156	5	the	the	DET
ap-2230	156	6	solution	solution	NOUN
ap-2230	156	7	for	for	ADP
ap-2230	156	8	the	the	DET
ap-2230	156	9	information	information	NOUN
ap-2230	156	10	set	set	VERB
ap-2230	156	11	after	after	SCONJ
ap-2230	156	12	all	all	DET
ap-2230	156	13	simulations	simulation	NOUN
ap-2230	156	14	are	be	AUX
ap-2230	156	15	performed	perform	VERB
ap-2230	156	16	is	be	AUX
ap-2230	156	17	the	the	DET
ap-2230	156	18	mean	mean	NOUN
ap-2230	156	19	of	of	ADP
ap-2230	156	20	strategies	strategy	NOUN
ap-2230	156	21	p	p	NOUN
ap-2230	156	22	over	over	ADP
ap-2230	156	23	all	all	DET
ap-2230	156	24	iterations	iteration	NOUN
ap-2230	156	25	.	.	PUNCT
ap-2230	157	1	in	in	ADP
ap-2230	157	2	the	the	DET
ap-2230	157	3	implementation	implementation	NOUN
ap-2230	157	4	of	of	ADP
ap-2230	157	5	the	the	DET
ap-2230	157	6	algorithm	algorithm	NOUN
ap-2230	157	7	,	,	PUNCT
ap-2230	157	8	we	we	PRON
ap-2230	157	9	use	use	VERB
ap-2230	157	10	the	the	DET
ap-2230	157	11	numerically	numerically	ADV
ap-2230	157	12	more	more	ADV
ap-2230	157	13	stable	stable	ADJ
ap-2230	157	14	form	form	NOUN
ap-2230	157	15	of	of	ADP
ap-2230	157	16	the	the	DET
ap-2230	157	17	equation	equation	NOUN
ap-2230	157	18	in	in	ADP
ap-2230	157	19	line	line	NOUN
ap-2230	157	20	3	3	NUM
ap-2230	157	21	proposed	propose	VERB
ap-2230	157	22	in	in	ADP
ap-2230	157	23	[	[	X
ap-2230	157	24	3	3	NUM
ap-2230	157	25	]	]	PUNCT
ap-2230	157	26	.	.	PUNCT
ap-2230	158	1	3.3	3.3	NUM
ap-2230	158	2	.	.	PUNCT
ap-2230	159	1	regret	regret	PROPN
ap-2230	159	2	matching	matching	PROPN
ap-2230	159	3	regret	regret	PROPN
ap-2230	159	4	matching	matching	NOUN
ap-2230	159	5	is	be	AUX
ap-2230	159	6	a	a	DET
ap-2230	159	7	general	general	ADJ
ap-2230	159	8	procedure	procedure	NOUN
ap-2230	159	9	originally	originally	ADV
ap-2230	159	10	developed	develop	VERB
ap-2230	159	11	for	for	ADP
ap-2230	159	12	playing	play	VERB
ap-2230	159	13	known	know	VERB
ap-2230	159	14	general	general	ADJ
ap-2230	159	15	-	-	PUNCT
ap-2230	159	16	sum	sum	NOUN
ap-2230	159	17	matrix	matrix	NOUN
ap-2230	159	18	games	game	NOUN
ap-2230	159	19	in	in	ADP
ap-2230	159	20	[	[	X
ap-2230	159	21	10	10	NUM
ap-2230	159	22	]	]	PUNCT
ap-2230	159	23	.	.	PUNCT
ap-2230	160	1	the	the	DET
ap-2230	160	2	algorithm	algorithm	NOUN
ap-2230	160	3	computes	compute	VERB
ap-2230	160	4	,	,	PUNCT
ap-2230	160	5	for	for	ADP
ap-2230	160	6	each	each	DET
ap-2230	160	7	action	action	NOUN
ap-2230	160	8	in	in	ADP
ap-2230	160	9	each	each	DET
ap-2230	160	10	step	step	NOUN
ap-2230	160	11	,	,	PUNCT
ap-2230	160	12	the	the	DET
ap-2230	160	13	regret	regret	NOUN
ap-2230	160	14	for	for	ADP
ap-2230	160	15	not	not	PART
ap-2230	160	16	playing	play	VERB
ap-2230	160	17	another	another	DET
ap-2230	160	18	fixed	fix	VERB
ap-2230	160	19	action	action	NOUN
ap-2230	160	20	every	every	DET
ap-2230	160	21	time	time	NOUN
ap-2230	160	22	the	the	DET
ap-2230	160	23	action	action	NOUN
ap-2230	160	24	has	have	AUX
ap-2230	160	25	been	be	AUX
ap-2230	160	26	played	play	VERB
ap-2230	160	27	in	in	ADP
ap-2230	160	28	the	the	DET
ap-2230	160	29	past	past	NOUN
ap-2230	160	30	.	.	PUNCT
ap-2230	161	1	the	the	DET
ap-2230	161	2	action	action	NOUN
ap-2230	161	3	to	to	PART
ap-2230	161	4	be	be	AUX
ap-2230	161	5	played	play	VERB
ap-2230	161	6	in	in	ADP
ap-2230	161	7	the	the	DET
ap-2230	161	8	next	next	ADJ
ap-2230	161	9	round	round	NOUN
ap-2230	161	10	is	be	AUX
ap-2230	161	11	selected	select	VERB
ap-2230	161	12	randomly	randomly	ADV
ap-2230	161	13	with	with	ADP
ap-2230	161	14	probability	probability	NOUN
ap-2230	161	15	proportional	proportional	ADJ
ap-2230	161	16	to	to	ADP
ap-2230	161	17	the	the	DET
ap-2230	161	18	positive	positive	ADJ
ap-2230	161	19	portion	portion	NOUN
ap-2230	161	20	of	of	ADP
ap-2230	161	21	the	the	DET
ap-2230	161	22	regret	regret	NOUN
ap-2230	161	23	for	for	ADP
ap-2230	161	24	not	not	PART
ap-2230	161	25	playing	play	VERB
ap-2230	161	26	the	the	DET
ap-2230	161	27	action	action	NOUN
ap-2230	161	28	.	.	PUNCT
ap-2230	162	1	the	the	DET
ap-2230	162	2	regret	regret	PROPN
ap-2230	162	3	matching	matching	NOUN
ap-2230	162	4	procedure	procedure	NOUN
ap-2230	162	5	in	in	ADP
ap-2230	162	6	[	[	X
ap-2230	162	7	10	10	NUM
ap-2230	162	8	]	]	PUNCT
ap-2230	162	9	requires	require	VERB
ap-2230	162	10	exact	exact	ADJ
ap-2230	162	11	information	information	NOUN
ap-2230	162	12	about	about	ADP
ap-2230	162	13	the	the	DET
ap-2230	162	14	utility	utility	NOUN
ap-2230	162	15	values	value	NOUN
ap-2230	162	16	in	in	ADP
ap-2230	162	17	the	the	DET
ap-2230	162	18	game	game	NOUN
ap-2230	162	19	matrix	matrix	NOUN
ap-2230	162	20	as	as	ADV
ap-2230	162	21	well	well	ADV
ap-2230	162	22	as	as	ADP
ap-2230	162	23	the	the	DET
ap-2230	162	24	action	action	NOUN
ap-2230	162	25	selected	select	VERB
ap-2230	162	26	by	by	ADP
ap-2230	162	27	the	the	DET
ap-2230	162	28	opponent	opponent	NOUN
ap-2230	162	29	in	in	ADP
ap-2230	162	30	each	each	DET
ap-2230	162	31	step	step	NOUN
ap-2230	162	32	.	.	PUNCT
ap-2230	163	1	in	in	ADP
ap-2230	163	2	[	[	X
ap-2230	163	3	19	19	NUM
ap-2230	163	4	]	]	PUNCT
ap-2230	163	5	,	,	PUNCT
ap-2230	163	6	the	the	DET
ap-2230	163	7	authors	author	NOUN
ap-2230	163	8	relax	relax	VERB
ap-2230	163	9	these	these	DET
ap-2230	163	10	requirements	requirement	NOUN
ap-2230	163	11	.	.	PUNCT
ap-2230	164	1	instead	instead	ADV
ap-2230	164	2	of	of	ADP
ap-2230	164	3	computing	compute	VERB
ap-2230	164	4	the	the	DET
ap-2230	164	5	exact	exact	ADJ
ap-2230	164	6	values	value	NOUN
ap-2230	164	7	for	for	ADP
ap-2230	164	8	the	the	DET
ap-2230	164	9	regrets	regret	NOUN
ap-2230	164	10	,	,	PUNCT
ap-2230	164	11	the	the	DET
ap-2230	164	12	regrets	regret	NOUN
ap-2230	164	13	are	be	AUX
ap-2230	164	14	estimated	estimate	VERB
ap-2230	164	15	in	in	ADP
ap-2230	164	16	a	a	DET
ap-2230	164	17	similar	similar	ADJ
ap-2230	164	18	way	way	NOUN
ap-2230	164	19	as	as	ADP
ap-2230	164	20	the	the	DET
ap-2230	164	21	cumulative	cumulative	ADJ
ap-2230	164	22	rewards	reward	NOUN
ap-2230	164	23	in	in	ADP
ap-2230	164	24	exp3	exp3	PROPN
ap-2230	164	25	.	.	PUNCT
ap-2230	165	1	as	as	ADP
ap-2230	165	2	a	a	DET
ap-2230	165	3	result	result	NOUN
ap-2230	165	4	,	,	PUNCT
ap-2230	165	5	the	the	DET
ap-2230	165	6	modified	modify	VERB
ap-2230	165	7	regret	regret	NOUN
ap-2230	165	8	matching	matching	NOUN
ap-2230	165	9	procedure	procedure	NOUN
ap-2230	165	10	can	can	AUX
ap-2230	165	11	be	be	AUX
ap-2230	165	12	used	use	VERB
ap-2230	165	13	as	as	ADP
ap-2230	165	14	the	the	DET
ap-2230	165	15	selection	selection	NOUN
ap-2230	165	16	function	function	NOUN
ap-2230	165	17	in	in	ADP
ap-2230	165	18	is	be	AUX
ap-2230	165	19	-	-	PUNCT
ap-2230	165	20	mcts	mct	NOUN
ap-2230	165	21	.	.	PUNCT
ap-2230	166	1	we	we	PRON
ap-2230	166	2	present	present	VERB
ap-2230	166	3	the	the	DET
ap-2230	166	4	algorithm	algorithm	NOUN
ap-2230	166	5	in	in	ADP
ap-2230	166	6	algorithm	algorithm	NOUN
ap-2230	166	7	4	4	NUM
ap-2230	166	8	.	.	PUNCT
ap-2230	167	1	the	the	DET
ap-2230	167	2	algorithm	algorithm	NOUN
ap-2230	167	3	stores	store	VERB
ap-2230	167	4	the	the	DET
ap-2230	167	5	estimates	estimate	NOUN
ap-2230	167	6	of	of	ADP
ap-2230	167	7	the	the	DET
ap-2230	167	8	regrets	regret	NOUN
ap-2230	167	9	for	for	ADP
ap-2230	167	10	not	not	PART
ap-2230	167	11	taking	take	VERB
ap-2230	167	12	action	action	NOUN
ap-2230	167	13	i	i	PRON
ap-2230	167	14	in	in	ADP
ap-2230	167	15	all	all	DET
ap-2230	167	16	time	time	NOUN
ap-2230	167	17	steps	step	NOUN
ap-2230	167	18	in	in	ADP
ap-2230	167	19	the	the	DET
ap-2230	167	20	past	past	NOUN
ap-2230	167	21	in	in	ADP
ap-2230	167	22	variables	variables	PROPN
ap-2230	167	23	ri	ri	PROPN
ap-2230	167	24	.	.	PUNCT
ap-2230	168	1	in	in	ADP
ap-2230	168	2	lines	line	NOUN
ap-2230	168	3	3	3	NUM
ap-2230	168	4	-	-	SYM
ap-2230	168	5	7	7	NUM
ap-2230	168	6	,	,	PUNCT
ap-2230	168	7	it	it	PRON
ap-2230	168	8	computes	compute	VERB
ap-2230	168	9	the	the	DET
ap-2230	168	10	strategy	strategy	NOUN
ap-2230	168	11	for	for	ADP
ap-2230	168	12	the	the	DET
ap-2230	168	13	current	current	ADJ
ap-2230	168	14	time	time	NOUN
ap-2230	168	15	step	step	NOUN
ap-2230	168	16	proportionally	proportionally	ADV
ap-2230	168	17	to	to	ADP
ap-2230	168	18	the	the	DET
ap-2230	168	19	positive	positive	ADJ
ap-2230	168	20	part	part	NOUN
ap-2230	168	21	of	of	ADP
ap-2230	168	22	the	the	DET
ap-2230	168	23	regrets	regret	NOUN
ap-2230	168	24	.	.	PUNCT
ap-2230	169	1	the	the	DET
ap-2230	169	2	uniform	uniform	ADJ
ap-2230	169	3	strategy	strategy	NOUN
ap-2230	169	4	is	be	AUX
ap-2230	169	5	added	add	VERB
ap-2230	169	6	similarly	similarly	ADV
ap-2230	169	7	336	336	NUM
ap-2230	169	8	vol	vol	NOUN
ap-2230	169	9	.	.	PUNCT
ap-2230	170	1	54	54	NUM
ap-2230	170	2	no	no	NOUN
ap-2230	170	3	.	.	PUNCT
ap-2230	171	1	5/2014	5/2014	NUM
ap-2230	171	2	selection	selection	NOUN
ap-2230	171	3	functions	function	NOUN
ap-2230	171	4	for	for	ADP
ap-2230	171	5	is	is	NOUN
ap-2230	171	6	-	-	PUNCT
ap-2230	171	7	mcts	mct	NOUN
ap-2230	171	8	to	to	ADP
ap-2230	171	9	the	the	DET
ap-2230	171	10	case	case	NOUN
ap-2230	171	11	of	of	ADP
ap-2230	171	12	exp3	exp3	NOUN
ap-2230	171	13	in	in	ADP
ap-2230	171	14	line	line	NOUN
ap-2230	171	15	8	8	NUM
ap-2230	171	16	.	.	PUNCT
ap-2230	172	1	this	this	PRON
ap-2230	172	2	ensures	ensure	VERB
ap-2230	172	3	exploration	exploration	NOUN
ap-2230	172	4	and	and	CCONJ
ap-2230	172	5	causes	cause	VERB
ap-2230	172	6	the	the	DET
ap-2230	172	7	addition	addition	NOUN
ap-2230	172	8	in	in	ADP
ap-2230	172	9	line	line	NOUN
ap-2230	172	10	11	11	NUM
ap-2230	172	11	to	to	PART
ap-2230	172	12	be	be	AUX
ap-2230	172	13	bounded	bound	VERB
ap-2230	172	14	.	.	PUNCT
ap-2230	173	1	lines	line	NOUN
ap-2230	173	2	10	10	NUM
ap-2230	173	3	and	and	CCONJ
ap-2230	173	4	11	11	NUM
ap-2230	173	5	update	update	NOUN
ap-2230	173	6	the	the	DET
ap-2230	173	7	cumulative	cumulative	ADJ
ap-2230	173	8	regrets	regret	NOUN
ap-2230	173	9	using	use	VERB
ap-2230	173	10	importance	importance	NOUN
ap-2230	173	11	sampling	sampling	NOUN
ap-2230	173	12	.	.	PUNCT
ap-2230	174	1	the	the	DET
ap-2230	174	2	main	main	ADJ
ap-2230	174	3	computational	computational	ADJ
ap-2230	174	4	advantage	advantage	NOUN
ap-2230	174	5	of	of	ADP
ap-2230	174	6	this	this	DET
ap-2230	174	7	procedure	procedure	NOUN
ap-2230	174	8	over	over	ADP
ap-2230	174	9	exp3	exp3	NOUN
ap-2230	174	10	is	be	AUX
ap-2230	174	11	that	that	SCONJ
ap-2230	174	12	it	it	PRON
ap-2230	174	13	requires	require	VERB
ap-2230	174	14	only	only	ADV
ap-2230	174	15	simple	simple	ADJ
ap-2230	174	16	division	division	NOUN
ap-2230	174	17	instead	instead	ADV
ap-2230	174	18	of	of	ADP
ap-2230	174	19	computing	compute	VERB
ap-2230	174	20	the	the	DET
ap-2230	174	21	expensive	expensive	ADJ
ap-2230	174	22	exponential	exponential	ADJ
ap-2230	174	23	function	function	NOUN
ap-2230	174	24	for	for	ADP
ap-2230	174	25	each	each	DET
ap-2230	174	26	action	action	NOUN
ap-2230	174	27	in	in	ADP
ap-2230	174	28	each	each	DET
ap-2230	174	29	iteration	iteration	NOUN
ap-2230	174	30	.	.	PUNCT
ap-2230	175	1	when	when	SCONJ
ap-2230	175	2	used	use	VERB
ap-2230	175	3	in	in	ADP
ap-2230	175	4	an	an	DET
ap-2230	175	5	mcts	mct	NOUN
ap-2230	175	6	algorithm	algorithm	NOUN
ap-2230	175	7	,	,	PUNCT
ap-2230	175	8	this	this	PRON
ap-2230	175	9	allows	allow	VERB
ap-2230	175	10	substantially	substantially	ADV
ap-2230	175	11	more	more	ADJ
ap-2230	175	12	iterations	iteration	NOUN
ap-2230	175	13	to	to	PART
ap-2230	175	14	be	be	AUX
ap-2230	175	15	performed	perform	VERB
ap-2230	175	16	in	in	ADP
ap-2230	175	17	the	the	DET
ap-2230	175	18	same	same	ADJ
ap-2230	175	19	time	time	NOUN
ap-2230	175	20	budget	budget	NOUN
ap-2230	175	21	.	.	PUNCT
ap-2230	176	1	the	the	DET
ap-2230	176	2	strategy	strategy	NOUN
ap-2230	176	3	output	output	NOUN
ap-2230	176	4	as	as	ADP
ap-2230	176	5	the	the	DET
ap-2230	176	6	solution	solution	NOUN
ap-2230	176	7	for	for	ADP
ap-2230	176	8	the	the	DET
ap-2230	176	9	information	information	NOUN
ap-2230	176	10	set	set	VERB
ap-2230	176	11	after	after	SCONJ
ap-2230	176	12	all	all	DET
ap-2230	176	13	simulations	simulation	NOUN
ap-2230	176	14	are	be	AUX
ap-2230	176	15	performed	perform	VERB
ap-2230	176	16	is	be	AUX
ap-2230	176	17	the	the	DET
ap-2230	176	18	mean	mean	NOUN
ap-2230	176	19	of	of	ADP
ap-2230	176	20	strategies	strategy	NOUN
ap-2230	176	21	p	p	NOUN
ap-2230	176	22	over	over	ADP
ap-2230	176	23	all	all	DET
ap-2230	176	24	iterations	iteration	NOUN
ap-2230	176	25	.	.	PUNCT
ap-2230	177	1	4	4	X
ap-2230	177	2	.	.	X
ap-2230	177	3	experimental	experimental	ADJ
ap-2230	177	4	evaluation	evaluation	NOUN
ap-2230	177	5	this	this	DET
ap-2230	177	6	section	section	NOUN
ap-2230	177	7	first	first	ADV
ap-2230	177	8	presents	present	VERB
ap-2230	177	9	two	two	NUM
ap-2230	177	10	imperfect	imperfect	ADJ
ap-2230	177	11	information	information	NOUN
ap-2230	177	12	games	game	NOUN
ap-2230	177	13	that	that	PRON
ap-2230	177	14	we	we	PRON
ap-2230	177	15	use	use	VERB
ap-2230	177	16	in	in	ADP
ap-2230	177	17	an	an	DET
ap-2230	177	18	evaluation	evaluation	NOUN
ap-2230	177	19	.	.	PUNCT
ap-2230	178	1	afterwards	afterwards	ADV
ap-2230	178	2	,	,	PUNCT
ap-2230	178	3	we	we	PRON
ap-2230	178	4	analyze	analyze	VERB
ap-2230	178	5	the	the	DET
ap-2230	178	6	dependence	dependence	NOUN
ap-2230	178	7	of	of	ADP
ap-2230	178	8	the	the	DET
ap-2230	178	9	speed	speed	NOUN
ap-2230	178	10	of	of	ADP
ap-2230	178	11	convergence	convergence	NOUN
ap-2230	178	12	of	of	ADP
ap-2230	178	13	is	is	NOUN
ap-2230	178	14	-	-	PUNCT
ap-2230	178	15	mcts	mct	NOUN
ap-2230	178	16	and	and	CCONJ
ap-2230	178	17	the	the	DET
ap-2230	178	18	eventual	eventual	ADJ
ap-2230	178	19	distance	distance	NOUN
ap-2230	178	20	from	from	ADP
ap-2230	178	21	a	a	DET
ap-2230	178	22	nash	nash	ADJ
ap-2230	178	23	equilibrium	equilibrium	NOUN
ap-2230	178	24	on	on	ADP
ap-2230	178	25	the	the	DET
ap-2230	178	26	used	use	VERB
ap-2230	178	27	selection	selection	NOUN
ap-2230	178	28	function	function	NOUN
ap-2230	178	29	.	.	PUNCT
ap-2230	179	1	finally	finally	ADV
ap-2230	179	2	,	,	PUNCT
ap-2230	179	3	we	we	PRON
ap-2230	179	4	evaluate	evaluate	VERB
ap-2230	179	5	how	how	SCONJ
ap-2230	179	6	these	these	DET
ap-2230	179	7	convergence	convergence	NOUN
ap-2230	179	8	properties	property	NOUN
ap-2230	179	9	translate	translate	VERB
ap-2230	179	10	to	to	ADP
ap-2230	179	11	the	the	DET
ap-2230	179	12	quality	quality	NOUN
ap-2230	179	13	of	of	ADP
ap-2230	179	14	actual	actual	ADJ
ap-2230	179	15	game	game	NOUN
ap-2230	179	16	playing	playing	NOUN
ap-2230	179	17	.	.	PUNCT
ap-2230	180	1	in	in	ADP
ap-2230	180	2	the	the	DET
ap-2230	180	3	whole	whole	ADJ
ap-2230	180	4	section	section	NOUN
ap-2230	180	5	,	,	PUNCT
ap-2230	180	6	we	we	PRON
ap-2230	180	7	use	use	VERB
ap-2230	180	8	hand	hand	NOUN
ap-2230	180	9	-	-	PUNCT
ap-2230	180	10	tuned	tune	VERB
ap-2230	180	11	values	value	NOUN
ap-2230	180	12	of	of	ADP
ap-2230	180	13	the	the	DET
ap-2230	180	14	exploration	exploration	NOUN
ap-2230	180	15	parameters	parameter	NOUN
ap-2230	180	16	c	c	NOUN
ap-2230	180	17	=	=	SYM
ap-2230	180	18	2	2	NUM
ap-2230	180	19	for	for	ADP
ap-2230	180	20	uct	uct	PROPN
ap-2230	180	21	,	,	PUNCT
ap-2230	180	22	γ	γ	X
ap-2230	180	23	=	=	SYM
ap-2230	180	24	0.1	0.1	NUM
ap-2230	180	25	for	for	ADP
ap-2230	180	26	exp3	exp3	NOUN
ap-2230	180	27	and	and	CCONJ
ap-2230	180	28	rm	rm	PROPN
ap-2230	180	29	.	.	PUNCT
ap-2230	181	1	all	all	DET
ap-2230	181	2	experiments	experiment	NOUN
ap-2230	181	3	were	be	AUX
ap-2230	181	4	performed	perform	VERB
ap-2230	181	5	in	in	ADP
ap-2230	181	6	a	a	DET
ap-2230	181	7	unified	unified	ADJ
ap-2230	181	8	publicly	publicly	ADV
ap-2230	181	9	available	available	ADJ
ap-2230	181	10	codebase	codebase	NOUN
ap-2230	182	1	[	[	X
ap-2230	182	2	20	20	NUM
ap-2230	182	3	]	]	PUNCT
ap-2230	182	4	.	.	PUNCT
ap-2230	183	1	4.1	4.1	NUM
ap-2230	183	2	.	.	PUNCT
ap-2230	183	3	experimental	experimental	ADJ
ap-2230	183	4	domains	domain	NOUN
ap-2230	183	5	goofspiel	goofspiel	PROPN
ap-2230	183	6	.	.	PUNCT
ap-2230	184	1	goofspiel	goofspiel	PROPN
ap-2230	184	2	is	be	AUX
ap-2230	184	3	a	a	DET
ap-2230	184	4	simultaneous	simultaneous	ADJ
ap-2230	184	5	move	move	NOUN
ap-2230	184	6	card	card	NOUN
ap-2230	184	7	game	game	NOUN
ap-2230	184	8	often	often	ADV
ap-2230	184	9	used	use	VERB
ap-2230	184	10	to	to	PART
ap-2230	184	11	evaluate	evaluate	VERB
ap-2230	184	12	ai	ai	ADJ
ap-2230	184	13	algorithms	algorithm	NOUN
ap-2230	184	14	.	.	PUNCT
ap-2230	185	1	the	the	DET
ap-2230	185	2	game	game	NOUN
ap-2230	185	3	is	be	AUX
ap-2230	185	4	played	play	VERB
ap-2230	185	5	with	with	ADP
ap-2230	185	6	three	three	NUM
ap-2230	185	7	identical	identical	ADJ
ap-2230	185	8	decks	deck	NOUN
ap-2230	185	9	of	of	ADP
ap-2230	185	10	cards	card	NOUN
ap-2230	185	11	.	.	PUNCT
ap-2230	186	1	each	each	DET
ap-2230	186	2	deck	deck	NOUN
ap-2230	186	3	contains	contain	VERB
ap-2230	186	4	cards	card	NOUN
ap-2230	186	5	of	of	ADP
ap-2230	186	6	values	value	NOUN
ap-2230	186	7	{	{	PUNCT
ap-2230	186	8	0	0	NUM
ap-2230	186	9	,	,	PUNCT
ap-2230	186	10	.	.	PUNCT
ap-2230	186	11	.	.	PUNCT
ap-2230	187	1	.	.	PUNCT
ap-2230	188	1	,	,	PUNCT
ap-2230	188	2	(	(	PUNCT
ap-2230	188	3	n−	n−	NOUN
ap-2230	188	4	1	1	NUM
ap-2230	188	5	)	)	PUNCT
ap-2230	188	6	}	}	PUNCT
ap-2230	188	7	and	and	CCONJ
ap-2230	188	8	belongs	belong	VERB
ap-2230	188	9	to	to	ADP
ap-2230	188	10	one	one	NUM
ap-2230	188	11	of	of	ADP
ap-2230	188	12	the	the	DET
ap-2230	188	13	players	player	NOUN
ap-2230	188	14	,	,	PUNCT
ap-2230	188	15	including	include	VERB
ap-2230	188	16	nature	nature	NOUN
ap-2230	188	17	.	.	PUNCT
ap-2230	189	1	the	the	DET
ap-2230	189	2	deck	deck	NOUN
ap-2230	189	3	for	for	ADP
ap-2230	189	4	nature	nature	NOUN
ap-2230	189	5	is	be	AUX
ap-2230	189	6	shuffled	shuffle	VERB
ap-2230	189	7	at	at	ADP
ap-2230	189	8	the	the	DET
ap-2230	189	9	beginning	beginning	NOUN
ap-2230	189	10	of	of	ADP
ap-2230	189	11	the	the	DET
ap-2230	189	12	game	game	NOUN
ap-2230	189	13	.	.	PUNCT
ap-2230	190	1	in	in	ADP
ap-2230	190	2	each	each	DET
ap-2230	190	3	round	round	NOUN
ap-2230	190	4	,	,	PUNCT
ap-2230	190	5	nature	nature	NOUN
ap-2230	190	6	reveals	reveal	VERB
ap-2230	190	7	the	the	DET
ap-2230	190	8	top	top	ADJ
ap-2230	190	9	card	card	NOUN
ap-2230	190	10	from	from	ADP
ap-2230	190	11	its	its	PRON
ap-2230	190	12	deck	deck	NOUN
ap-2230	190	13	.	.	PUNCT
ap-2230	191	1	each	each	DET
ap-2230	191	2	player	player	NOUN
ap-2230	191	3	selects	select	VERB
ap-2230	191	4	any	any	PRON
ap-2230	191	5	of	of	ADP
ap-2230	191	6	their	their	PRON
ap-2230	191	7	remaining	remain	VERB
ap-2230	191	8	cards	card	NOUN
ap-2230	191	9	and	and	CCONJ
ap-2230	191	10	places	place	NOUN
ap-2230	191	11	it	it	PRON
ap-2230	191	12	face	face	VERB
ap-2230	191	13	down	down	ADP
ap-2230	191	14	on	on	ADP
ap-2230	191	15	the	the	DET
ap-2230	191	16	table	table	NOUN
ap-2230	191	17	so	so	SCONJ
ap-2230	191	18	that	that	SCONJ
ap-2230	191	19	the	the	DET
ap-2230	191	20	opponent	opponent	NOUN
ap-2230	191	21	does	do	AUX
ap-2230	191	22	not	not	PART
ap-2230	191	23	see	see	VERB
ap-2230	191	24	the	the	DET
ap-2230	191	25	card	card	NOUN
ap-2230	191	26	.	.	PUNCT
ap-2230	192	1	afterwards	afterwards	ADV
ap-2230	192	2	,	,	PUNCT
ap-2230	192	3	the	the	DET
ap-2230	192	4	cards	card	NOUN
ap-2230	192	5	are	be	AUX
ap-2230	192	6	turned	turn	VERB
ap-2230	192	7	face	face	NOUN
ap-2230	192	8	up	up	ADP
ap-2230	192	9	and	and	CCONJ
ap-2230	192	10	the	the	DET
ap-2230	192	11	player	player	NOUN
ap-2230	192	12	with	with	ADP
ap-2230	192	13	the	the	DET
ap-2230	192	14	higher	high	ADJ
ap-2230	192	15	card	card	NOUN
ap-2230	192	16	wins	win	VERB
ap-2230	192	17	the	the	DET
ap-2230	192	18	card	card	NOUN
ap-2230	192	19	revealed	reveal	VERB
ap-2230	192	20	by	by	ADP
ap-2230	192	21	nature	nature	NOUN
ap-2230	192	22	.	.	PUNCT
ap-2230	193	1	the	the	DET
ap-2230	193	2	card	card	NOUN
ap-2230	193	3	is	be	AUX
ap-2230	193	4	discarded	discard	VERB
ap-2230	193	5	in	in	ADP
ap-2230	193	6	case	case	NOUN
ap-2230	193	7	of	of	ADP
ap-2230	193	8	a	a	DET
ap-2230	193	9	draw	draw	NOUN
ap-2230	193	10	.	.	PUNCT
ap-2230	194	1	at	at	ADP
ap-2230	194	2	the	the	DET
ap-2230	194	3	end	end	NOUN
ap-2230	194	4	,	,	PUNCT
ap-2230	194	5	the	the	DET
ap-2230	194	6	player	player	NOUN
ap-2230	194	7	with	with	ADP
ap-2230	194	8	the	the	DET
ap-2230	194	9	higher	high	ADJ
ap-2230	194	10	sum	sum	NOUN
ap-2230	194	11	of	of	ADP
ap-2230	194	12	nature	nature	NOUN
ap-2230	194	13	cards	card	NOUN
ap-2230	194	14	wins	win	VERB
ap-2230	194	15	the	the	DET
ap-2230	194	16	whole	whole	ADJ
ap-2230	194	17	game	game	NOUN
ap-2230	194	18	.	.	PUNCT
ap-2230	195	1	in	in	ADP
ap-2230	195	2	the	the	DET
ap-2230	195	3	results	result	NOUN
ap-2230	195	4	,	,	PUNCT
ap-2230	195	5	we	we	PRON
ap-2230	195	6	use	use	VERB
ap-2230	195	7	utilities	utility	NOUN
ap-2230	195	8	1/0/−1	1/0/−1	ADV
ap-2230	195	9	for	for	ADP
ap-2230	195	10	win	win	NOUN
ap-2230	195	11	/	/	SYM
ap-2230	195	12	draw	draw	NOUN
ap-2230	195	13	/	/	SYM
ap-2230	195	14	loss	loss	NOUN
ap-2230	195	15	and	and	CCONJ
ap-2230	195	16	count	count	VERB
ap-2230	195	17	a	a	DET
ap-2230	195	18	draw	draw	NOUN
ap-2230	195	19	as	as	SCONJ
ap-2230	195	20	half	half	NOUN
ap-2230	195	21	win	win	VERB
ap-2230	195	22	half	half	NOUN
ap-2230	195	23	lose	lose	ADJ
ap-2230	195	24	in	in	ADP
ap-2230	195	25	the	the	DET
ap-2230	195	26	win	win	NOUN
ap-2230	195	27	rates	rate	NOUN
ap-2230	195	28	.	.	PUNCT
ap-2230	196	1	we	we	PRON
ap-2230	196	2	use	use	VERB
ap-2230	196	3	the	the	DET
ap-2230	196	4	imperfect	imperfect	ADJ
ap-2230	196	5	information	information	NOUN
ap-2230	196	6	variant	variant	NOUN
ap-2230	196	7	of	of	ADP
ap-2230	196	8	this	this	DET
ap-2230	196	9	game	game	NOUN
ap-2230	196	10	introduced	introduce	VERB
ap-2230	196	11	by	by	ADP
ap-2230	196	12	lanctot	lanctot	PROPN
ap-2230	196	13	[	[	X
ap-2230	196	14	21	21	NUM
ap-2230	196	15	]	]	PUNCT
ap-2230	196	16	for	for	ADP
ap-2230	196	17	evaluation	evaluation	NOUN
ap-2230	196	18	.	.	PUNCT
ap-2230	197	1	it	it	PRON
ap-2230	197	2	introduces	introduce	VERB
ap-2230	197	3	two	two	NUM
ap-2230	197	4	modifications	modification	NOUN
ap-2230	197	5	.	.	PUNCT
ap-2230	198	1	first	first	ADV
ap-2230	198	2	,	,	PUNCT
ap-2230	198	3	in	in	ADP
ap-2230	198	4	each	each	DET
ap-2230	198	5	round	round	NOUN
ap-2230	198	6	,	,	PUNCT
ap-2230	198	7	the	the	DET
ap-2230	198	8	players	player	NOUN
ap-2230	198	9	only	only	ADV
ap-2230	198	10	learn	learn	VERB
ap-2230	198	11	who	who	PRON
ap-2230	198	12	won	win	VERB
ap-2230	198	13	or	or	CCONJ
ap-2230	198	14	lost	lose	VERB
ap-2230	198	15	the	the	DET
ap-2230	198	16	round	round	NOUN
ap-2230	198	17	,	,	PUNCT
ap-2230	198	18	but	but	CCONJ
ap-2230	198	19	not	not	PART
ap-2230	198	20	the	the	DET
ap-2230	198	21	bid	bid	NOUN
ap-2230	198	22	played	play	VERB
ap-2230	198	23	by	by	ADP
ap-2230	198	24	the	the	DET
ap-2230	198	25	opponent	opponent	NOUN
ap-2230	198	26	.	.	PUNCT
ap-2230	199	1	second	second	ADJ
ap-2230	199	2	,	,	PUNCT
ap-2230	199	3	both	both	DET
ap-2230	199	4	players	player	NOUN
ap-2230	199	5	know	know	VERB
ap-2230	199	6	that	that	SCONJ
ap-2230	199	7	the	the	DET
ap-2230	199	8	cards	card	NOUN
ap-2230	199	9	in	in	ADP
ap-2230	199	10	nature	nature	NOUN
ap-2230	199	11	’s	’s	PART
ap-2230	199	12	deck	deck	NOUN
ap-2230	199	13	are	be	AUX
ap-2230	199	14	sorted	sort	VERB
ap-2230	199	15	in	in	ADP
ap-2230	199	16	decreasing	decrease	VERB
ap-2230	199	17	order	order	NOUN
ap-2230	199	18	.	.	PUNCT
ap-2230	200	1	phantom	phantom	ADJ
ap-2230	200	2	tic	tic	PROPN
ap-2230	200	3	-	-	PUNCT
ap-2230	200	4	tac	tac	NOUN
ap-2230	200	5	-	-	PUNCT
ap-2230	200	6	toe	toe	NOUN
ap-2230	200	7	.	.	PUNCT
ap-2230	201	1	phantom	phantom	ADJ
ap-2230	201	2	tic	tic	PROPN
ap-2230	201	3	-	-	PUNCT
ap-2230	201	4	tac	tac	NOUN
ap-2230	201	5	-	-	PUNCT
ap-2230	201	6	toe	toe	NOUN
ap-2230	201	7	is	be	AUX
ap-2230	201	8	a	a	DET
ap-2230	201	9	blind	blind	ADJ
ap-2230	201	10	variant	variant	NOUN
ap-2230	201	11	of	of	ADP
ap-2230	201	12	the	the	DET
ap-2230	201	13	well	well	ADV
ap-2230	201	14	-	-	PUNCT
ap-2230	201	15	known	know	VERB
ap-2230	201	16	game	game	NOUN
ap-2230	201	17	of	of	ADP
ap-2230	201	18	tic	tic	NOUN
ap-2230	201	19	-	-	PUNCT
ap-2230	201	20	tactoe	tactoe	NOUN
ap-2230	201	21	.	.	PUNCT
ap-2230	202	1	the	the	DET
ap-2230	202	2	game	game	NOUN
ap-2230	202	3	is	be	AUX
ap-2230	202	4	played	play	VERB
ap-2230	202	5	on	on	ADP
ap-2230	202	6	a	a	DET
ap-2230	202	7	3×	3×	NUM
ap-2230	202	8	3	3	NUM
ap-2230	202	9	board	board	NOUN
ap-2230	202	10	,	,	PUNCT
ap-2230	202	11	where	where	SCONJ
ap-2230	202	12	two	two	NUM
ap-2230	202	13	players	player	NOUN
ap-2230	202	14	(	(	PUNCT
ap-2230	202	15	cross	cross	NOUN
ap-2230	202	16	and	and	CCONJ
ap-2230	202	17	circle	circle	NOUN
ap-2230	202	18	)	)	PUNCT
ap-2230	202	19	attempt	attempt	NOUN
ap-2230	202	20	to	to	PART
ap-2230	202	21	place	place	VERB
ap-2230	202	22	3	3	NUM
ap-2230	202	23	identical	identical	ADJ
ap-2230	202	24	marks	mark	NOUN
ap-2230	202	25	in	in	ADP
ap-2230	202	26	a	a	DET
ap-2230	202	27	horizontal	horizontal	ADJ
ap-2230	202	28	,	,	PUNCT
ap-2230	202	29	vertical	vertical	ADJ
ap-2230	202	30	,	,	PUNCT
ap-2230	202	31	or	or	CCONJ
ap-2230	202	32	diagonal	diagonal	ADJ
ap-2230	202	33	row	row	NOUN
ap-2230	202	34	to	to	PART
ap-2230	202	35	win	win	VERB
ap-2230	202	36	the	the	DET
ap-2230	202	37	game	game	NOUN
ap-2230	202	38	.	.	PUNCT
ap-2230	203	1	the	the	DET
ap-2230	203	2	player	player	NOUN
ap-2230	203	3	who	who	PRON
ap-2230	203	4	achieves	achieve	VERB
ap-2230	203	5	this	this	DET
ap-2230	203	6	goal	goal	NOUN
ap-2230	203	7	first	first	ADV
ap-2230	203	8	wins	win	VERB
ap-2230	203	9	the	the	DET
ap-2230	203	10	game	game	NOUN
ap-2230	203	11	.	.	PUNCT
ap-2230	204	1	in	in	ADP
ap-2230	204	2	the	the	DET
ap-2230	204	3	blind	blind	ADJ
ap-2230	204	4	variant	variant	NOUN
ap-2230	204	5	,	,	PUNCT
ap-2230	204	6	the	the	DET
ap-2230	204	7	players	player	NOUN
ap-2230	204	8	are	be	AUX
ap-2230	204	9	unable	unable	ADJ
ap-2230	204	10	to	to	PART
ap-2230	204	11	observe	observe	VERB
ap-2230	204	12	their	their	PRON
ap-2230	204	13	opponent	opponent	NOUN
ap-2230	204	14	’s	’s	PART
ap-2230	204	15	moves	move	NOUN
ap-2230	204	16	and	and	CCONJ
ap-2230	204	17	each	each	DET
ap-2230	204	18	player	player	NOUN
ap-2230	204	19	only	only	ADV
ap-2230	204	20	knows	know	VERB
ap-2230	204	21	that	that	SCONJ
ap-2230	204	22	the	the	DET
ap-2230	204	23	opponent	opponent	NOUN
ap-2230	204	24	made	make	VERB
ap-2230	204	25	a	a	DET
ap-2230	204	26	move	move	NOUN
ap-2230	205	1	and	and	CCONJ
ap-2230	205	2	it	it	PRON
ap-2230	205	3	is	be	AUX
ap-2230	205	4	her	her	PRON
ap-2230	205	5	turn	turn	NOUN
ap-2230	205	6	.	.	PUNCT
ap-2230	206	1	if	if	SCONJ
ap-2230	206	2	a	a	DET
ap-2230	206	3	player	player	NOUN
ap-2230	206	4	tries	try	VERB
ap-2230	206	5	to	to	PART
ap-2230	206	6	place	place	VERB
ap-2230	206	7	her	her	PRON
ap-2230	206	8	mark	mark	NOUN
ap-2230	206	9	on	on	ADP
ap-2230	206	10	a	a	DET
ap-2230	206	11	square	square	NOUN
ap-2230	206	12	that	that	PRON
ap-2230	206	13	is	be	AUX
ap-2230	206	14	already	already	ADV
ap-2230	206	15	occupied	occupy	VERB
ap-2230	206	16	by	by	ADP
ap-2230	206	17	an	an	DET
ap-2230	206	18	opponent	opponent	NOUN
ap-2230	206	19	’s	’s	PART
ap-2230	206	20	mark	mark	NOUN
ap-2230	206	21	,	,	PUNCT
ap-2230	206	22	the	the	DET
ap-2230	206	23	player	player	NOUN
ap-2230	206	24	learns	learn	VERB
ap-2230	206	25	this	this	DET
ap-2230	206	26	information	information	NOUN
ap-2230	206	27	and	and	CCONJ
ap-2230	206	28	can	can	AUX
ap-2230	206	29	place	place	VERB
ap-2230	206	30	the	the	DET
ap-2230	206	31	mark	mark	NOUN
ap-2230	206	32	in	in	ADP
ap-2230	206	33	some	some	DET
ap-2230	206	34	other	other	ADJ
ap-2230	206	35	square	square	NOUN
ap-2230	206	36	.	.	PUNCT
ap-2230	207	1	the	the	DET
ap-2230	207	2	uncertainty	uncertainty	NOUN
ap-2230	207	3	in	in	ADP
ap-2230	207	4	phantom	phantom	ADJ
ap-2230	207	5	tic	tic	ADJ
ap-2230	207	6	-	-	PUNCT
ap-2230	207	7	tac	tac	NOUN
ap-2230	207	8	-	-	PUNCT
ap-2230	207	9	toe	toe	NOUN
ap-2230	207	10	makes	make	VERB
ap-2230	207	11	the	the	DET
ap-2230	207	12	game	game	NOUN
ap-2230	207	13	large	large	ADJ
ap-2230	207	14	(	(	PUNCT
ap-2230	207	15	≈	≈	PROPN
ap-2230	207	16	1010	1010	NUM
ap-2230	207	17	nodes	node	NOUN
ap-2230	207	18	[	[	X
ap-2230	207	19	22	22	NUM
ap-2230	207	20	]	]	PUNCT
ap-2230	207	21	)	)	PUNCT
ap-2230	207	22	.	.	PUNCT
ap-2230	208	1	in	in	ADP
ap-2230	208	2	addition	addition	NOUN
ap-2230	208	3	,	,	PUNCT
ap-2230	208	4	since	since	SCONJ
ap-2230	208	5	one	one	NUM
ap-2230	208	6	player	player	NOUN
ap-2230	208	7	can	can	AUX
ap-2230	208	8	try	try	VERB
ap-2230	208	9	several	several	ADJ
ap-2230	208	10	squares	square	NOUN
ap-2230	208	11	before	before	SCONJ
ap-2230	208	12	a	a	DET
ap-2230	208	13	move	move	NOUN
ap-2230	208	14	is	be	AUX
ap-2230	208	15	successful	successful	ADJ
ap-2230	208	16	,	,	PUNCT
ap-2230	208	17	the	the	DET
ap-2230	208	18	players	player	NOUN
ap-2230	208	19	do	do	AUX
ap-2230	208	20	not	not	PART
ap-2230	208	21	necessarily	necessarily	ADV
ap-2230	208	22	alternate	alternate	VERB
ap-2230	208	23	in	in	ADP
ap-2230	208	24	making	make	VERB
ap-2230	208	25	their	their	PRON
ap-2230	208	26	moves	move	NOUN
ap-2230	208	27	.	.	PUNCT
ap-2230	209	1	this	this	DET
ap-2230	209	2	rule	rule	NOUN
ap-2230	209	3	makes	make	VERB
ap-2230	209	4	the	the	DET
ap-2230	209	5	structure	structure	NOUN
ap-2230	209	6	of	of	ADP
ap-2230	209	7	the	the	DET
ap-2230	209	8	information	information	NOUN
ap-2230	209	9	sets	set	VERB
ap-2230	209	10	rather	rather	ADV
ap-2230	209	11	complex	complex	ADJ
ap-2230	209	12	,	,	PUNCT
ap-2230	209	13	and	and	CCONJ
ap-2230	209	14	since	since	SCONJ
ap-2230	209	15	the	the	DET
ap-2230	209	16	player	player	NOUN
ap-2230	209	17	never	never	ADV
ap-2230	209	18	learns	learn	VERB
ap-2230	209	19	how	how	SCONJ
ap-2230	209	20	many	many	ADJ
ap-2230	209	21	attempts	attempt	VERB
ap-2230	209	22	the	the	DET
ap-2230	209	23	opponent	opponent	NOUN
ap-2230	209	24	actually	actually	ADV
ap-2230	209	25	performed	perform	VERB
ap-2230	209	26	,	,	PUNCT
ap-2230	209	27	a	a	DET
ap-2230	209	28	single	single	ADJ
ap-2230	209	29	information	information	NOUN
ap-2230	209	30	set	set	NOUN
ap-2230	209	31	can	can	AUX
ap-2230	209	32	contain	contain	VERB
ap-2230	209	33	nodes	node	NOUN
ap-2230	209	34	at	at	ADP
ap-2230	209	35	a	a	DET
ap-2230	209	36	different	different	ADJ
ap-2230	209	37	depth	depth	NOUN
ap-2230	209	38	in	in	ADP
ap-2230	209	39	the	the	DET
ap-2230	209	40	game	game	NOUN
ap-2230	209	41	tree	tree	NOUN
ap-2230	209	42	.	.	PUNCT
ap-2230	210	1	4.2	4.2	NUM
ap-2230	210	2	.	.	PUNCT
ap-2230	210	3	convergence	convergence	NOUN
ap-2230	210	4	to	to	ADP
ap-2230	210	5	nash	nash	VERB
ap-2230	210	6	equilibrium	equilibrium	NOUN
ap-2230	210	7	first	first	ADV
ap-2230	210	8	,	,	PUNCT
ap-2230	210	9	we	we	PRON
ap-2230	210	10	focus	focus	VERB
ap-2230	210	11	on	on	ADP
ap-2230	210	12	the	the	DET
ap-2230	210	13	speed	speed	NOUN
ap-2230	210	14	of	of	ADP
ap-2230	210	15	convergence	convergence	NOUN
ap-2230	210	16	in	in	ADP
ap-2230	210	17	a	a	DET
ap-2230	210	18	small	small	ADJ
ap-2230	210	19	variant	variant	NOUN
ap-2230	210	20	of	of	ADP
ap-2230	210	21	goofspiel	goofspiel	NOUN
ap-2230	210	22	with	with	ADP
ap-2230	210	23	6	6	NUM
ap-2230	210	24	cards	card	NOUN
ap-2230	210	25	(	(	PUNCT
ap-2230	210	26	0	0	NUM
ap-2230	210	27	,	,	PUNCT
ap-2230	210	28	1	1	NUM
ap-2230	210	29	,	,	PUNCT
ap-2230	210	30	.	.	PUNCT
ap-2230	210	31	.	.	PUNCT
ap-2230	211	1	.	.	PUNCT
ap-2230	212	1	,	,	PUNCT
ap-2230	212	2	5	5	NUM
ap-2230	212	3	)	)	PUNCT
ap-2230	212	4	.	.	PUNCT
ap-2230	213	1	we	we	PRON
ap-2230	213	2	measure	measure	VERB
ap-2230	213	3	the	the	DET
ap-2230	213	4	ability	ability	NOUN
ap-2230	213	5	of	of	ADP
ap-2230	213	6	the	the	DET
ap-2230	213	7	algorithms	algorithm	NOUN
ap-2230	213	8	to	to	PART
ap-2230	213	9	approximate	approximate	VERB
ap-2230	213	10	a	a	DET
ap-2230	213	11	nash	nash	ADJ
ap-2230	213	12	equilibrium	equilibrium	NOUN
ap-2230	213	13	strategies	strategy	NOUN
ap-2230	213	14	of	of	ADP
ap-2230	213	15	the	the	DET
ap-2230	213	16	complete	complete	ADJ
ap-2230	213	17	game	game	NOUN
ap-2230	213	18	by	by	ADP
ap-2230	213	19	the	the	DET
ap-2230	213	20	sum	sum	NOUN
ap-2230	213	21	of	of	ADP
ap-2230	213	22	exploitabilities	exploitabilitie	NOUN
ap-2230	213	23	of	of	ADP
ap-2230	213	24	both	both	DET
ap-2230	213	25	players	player	NOUN
ap-2230	213	26	’	'	PUNCT
ap-2230	213	27	strategies	strategy	NOUN
ap-2230	213	28	(	(	PUNCT
ap-2230	213	29	see	see	VERB
ap-2230	213	30	section	section	NOUN
ap-2230	213	31	2	2	NUM
ap-2230	213	32	)	)	PUNCT
ap-2230	213	33	.	.	PUNCT
ap-2230	214	1	we	we	PRON
ap-2230	214	2	compare	compare	VERB
ap-2230	214	3	the	the	DET
ap-2230	214	4	is	is	NOUN
ap-2230	214	5	-	-	PUNCT
ap-2230	214	6	mcts	mct	NOUN
ap-2230	214	7	algorithm	algorithm	NOUN
ap-2230	214	8	with	with	ADP
ap-2230	214	9	three	three	NUM
ap-2230	214	10	different	different	ADJ
ap-2230	214	11	selection	selection	NOUN
ap-2230	214	12	functions	function	NOUN
ap-2230	214	13	:	:	PUNCT
ap-2230	214	14	uct	uct	PROPN
ap-2230	214	15	,	,	PUNCT
ap-2230	214	16	exp3	exp3	PROPN
ap-2230	214	17	,	,	PUNCT
ap-2230	214	18	and	and	CCONJ
ap-2230	214	19	rm	rm	NOUN
ap-2230	214	20	.	.	PUNCT
ap-2230	215	1	the	the	DET
ap-2230	215	2	results	result	NOUN
ap-2230	215	3	are	be	AUX
ap-2230	215	4	the	the	DET
ap-2230	215	5	means	mean	NOUN
ap-2230	215	6	of	of	ADP
ap-2230	215	7	20	20	NUM
ap-2230	215	8	runs	run	NOUN
ap-2230	215	9	of	of	ADP
ap-2230	215	10	each	each	DET
ap-2230	215	11	algorithm	algorithm	NOUN
ap-2230	215	12	.	.	PUNCT
ap-2230	216	1	due	due	ADP
ap-2230	216	2	to	to	ADP
ap-2230	216	3	the	the	DET
ap-2230	216	4	different	different	ADJ
ap-2230	216	5	selection	selection	NOUN
ap-2230	216	6	and	and	CCONJ
ap-2230	216	7	update	update	NOUN
ap-2230	216	8	functions	function	NOUN
ap-2230	216	9	,	,	PUNCT
ap-2230	216	10	the	the	DET
ap-2230	216	11	algorithms	algorithm	NOUN
ap-2230	216	12	differ	differ	VERB
ap-2230	216	13	in	in	ADP
ap-2230	216	14	the	the	DET
ap-2230	216	15	number	number	NOUN
ap-2230	216	16	of	of	ADP
ap-2230	216	17	iterations	iteration	NOUN
ap-2230	216	18	per	per	ADP
ap-2230	216	19	second	second	NOUN
ap-2230	216	20	.	.	PUNCT
ap-2230	217	1	rm	rm	PROPN
ap-2230	217	2	is	be	AUX
ap-2230	217	3	the	the	DET
ap-2230	217	4	fastest	fast	ADJ
ap-2230	217	5	,	,	PUNCT
ap-2230	217	6	with	with	ADP
ap-2230	217	7	more	more	ADJ
ap-2230	217	8	than	than	ADP
ap-2230	217	9	5.9×	5.9×	NUM
ap-2230	217	10	104	104	NUM
ap-2230	217	11	,	,	PUNCT
ap-2230	217	12	while	while	SCONJ
ap-2230	217	13	uct	uct	PROPN
ap-2230	217	14	with	with	ADP
ap-2230	217	15	computing	compute	VERB
ap-2230	217	16	the	the	DET
ap-2230	217	17	square	square	ADJ
ap-2230	217	18	roots	root	NOUN
ap-2230	217	19	and	and	CCONJ
ap-2230	217	20	random	random	ADJ
ap-2230	217	21	tie	tie	NOUN
ap-2230	217	22	breaking	breaking	NOUN
ap-2230	217	23	has	have	VERB
ap-2230	217	24	around	around	ADV
ap-2230	217	25	3.9×	3.9×	NUM
ap-2230	217	26	104	104	NUM
ap-2230	217	27	iterations	iteration	NOUN
ap-2230	217	28	per	per	ADP
ap-2230	217	29	second	second	ADJ
ap-2230	217	30	,	,	PUNCT
ap-2230	217	31	and	and	CCONJ
ap-2230	217	32	exp3	exp3	NOUN
ap-2230	217	33	computing	compute	VERB
ap-2230	217	34	the	the	DET
ap-2230	217	35	exponential	exponential	ADJ
ap-2230	217	36	functions	function	NOUN
ap-2230	217	37	has	have	VERB
ap-2230	217	38	around	around	ADP
ap-2230	217	39	3.4×104	3.4×104	PROPN
ap-2230	217	40	iterations	iteration	NOUN
ap-2230	217	41	.	.	PUNCT
ap-2230	218	1	figure	figure	NOUN
ap-2230	218	2	2	2	NUM
ap-2230	218	3	presents	present	VERB
ap-2230	218	4	the	the	DET
ap-2230	218	5	exploitability	exploitability	NOUN
ap-2230	218	6	of	of	ADP
ap-2230	218	7	the	the	DET
ap-2230	218	8	algorithms	algorithm	NOUN
ap-2230	218	9	run	run	VERB
ap-2230	218	10	from	from	ADP
ap-2230	218	11	the	the	DET
ap-2230	218	12	root	root	NOUN
ap-2230	218	13	state	state	NOUN
ap-2230	218	14	for	for	ADP
ap-2230	218	15	30	30	NUM
ap-2230	218	16	minutes	minute	NOUN
ap-2230	218	17	.	.	PUNCT
ap-2230	219	1	note	note	VERB
ap-2230	219	2	that	that	SCONJ
ap-2230	219	3	the	the	DET
ap-2230	219	4	x	x	NOUN
ap-2230	219	5	-	-	NOUN
ap-2230	219	6	scale	scale	NOUN
ap-2230	219	7	is	be	AUX
ap-2230	219	8	logarithmic	logarithmic	ADJ
ap-2230	219	9	.	.	PUNCT
ap-2230	220	1	the	the	DET
ap-2230	220	2	exploitability	exploitability	NOUN
ap-2230	220	3	of	of	ADP
ap-2230	220	4	uct	uct	PROPN
ap-2230	220	5	starts	start	VERB
ap-2230	220	6	decreasing	decrease	VERB
ap-2230	220	7	fairly	fairly	ADV
ap-2230	220	8	quickly	quickly	ADV
ap-2230	220	9	,	,	PUNCT
ap-2230	220	10	but	but	CCONJ
ap-2230	220	11	after	after	ADP
ap-2230	220	12	approximately	approximately	ADV
ap-2230	220	13	20	20	NUM
ap-2230	220	14	seconds	second	NOUN
ap-2230	220	15	of	of	ADP
ap-2230	220	16	computation	computation	NOUN
ap-2230	220	17	it	it	PRON
ap-2230	220	18	starts	start	VERB
ap-2230	220	19	increasing	increase	VERB
ap-2230	220	20	again	again	ADV
ap-2230	220	21	.	.	PUNCT
ap-2230	221	1	the	the	DET
ap-2230	221	2	lowest	low	ADJ
ap-2230	221	3	error	error	NOUN
ap-2230	221	4	achieved	achieve	VERB
ap-2230	221	5	by	by	ADP
ap-2230	221	6	uct	uct	PROPN
ap-2230	221	7	is	be	AUX
ap-2230	221	8	0.39	0.39	NUM
ap-2230	221	9	,	,	PUNCT
ap-2230	221	10	reached	reach	VERB
ap-2230	221	11	after	after	ADP
ap-2230	221	12	25	25	NUM
ap-2230	221	13	seconds	second	NOUN
ap-2230	221	14	of	of	ADP
ap-2230	221	15	computation	computation	NOUN
ap-2230	221	16	.	.	PUNCT
ap-2230	222	1	the	the	DET
ap-2230	222	2	variants	variant	NOUN
ap-2230	222	3	of	of	ADP
ap-2230	222	4	the	the	DET
ap-2230	222	5	is	is	NOUN
ap-2230	222	6	-	-	PUNCT
ap-2230	222	7	mcts	mct	NOUN
ap-2230	222	8	algorithm	algorithm	NOUN
ap-2230	222	9	with	with	ADP
ap-2230	222	10	exp3	exp3	PROPN
ap-2230	222	11	and	and	CCONJ
ap-2230	222	12	rm	rm	PROPN
ap-2230	222	13	converge	converge	VERB
ap-2230	222	14	slower	slow	ADV
ap-2230	222	15	at	at	ADP
ap-2230	222	16	the	the	DET
ap-2230	222	17	beginning	beginning	NOUN
ap-2230	222	18	,	,	PUNCT
ap-2230	222	19	but	but	CCONJ
ap-2230	222	20	eventually	eventually	ADV
ap-2230	222	21	achieve	achieve	VERB
ap-2230	222	22	smaller	small	ADJ
ap-2230	222	23	error	error	NOUN
ap-2230	222	24	than	than	ADP
ap-2230	222	25	uct	uct	PROPN
ap-2230	222	26	.	.	PUNCT
ap-2230	223	1	after	after	ADP
ap-2230	223	2	500	500	NUM
ap-2230	223	3	seconds	second	NOUN
ap-2230	223	4	of	of	ADP
ap-2230	223	5	computation	computation	NOUN
ap-2230	223	6	,	,	PUNCT
ap-2230	223	7	the	the	DET
ap-2230	223	8	error	error	NOUN
ap-2230	223	9	of	of	ADP
ap-2230	223	10	exp3	exp3	NOUN
ap-2230	223	11	is	be	AUX
ap-2230	223	12	0.41	0.41	NUM
ap-2230	223	13	and	and	CCONJ
ap-2230	223	14	the	the	DET
ap-2230	223	15	error	error	NOUN
ap-2230	223	16	of	of	ADP
ap-2230	223	17	rm	rm	PROPN
ap-2230	223	18	is	be	AUX
ap-2230	223	19	0.27	0.27	NUM
ap-2230	223	20	.	.	PUNCT
ap-2230	224	1	the	the	DET
ap-2230	224	2	game	game	NOUN
ap-2230	224	3	of	of	ADP
ap-2230	224	4	phantom	phantom	ADJ
ap-2230	224	5	tic	tic	ADJ
ap-2230	224	6	-	-	PUNCT
ap-2230	224	7	tac	tac	NOUN
ap-2230	224	8	-	-	PUNCT
ap-2230	224	9	toe	toe	NOUN
ap-2230	224	10	has	have	VERB
ap-2230	224	11	approximately	approximately	ADV
ap-2230	224	12	1010	1010	NUM
ap-2230	224	13	terminal	terminal	ADJ
ap-2230	224	14	states	state	NOUN
ap-2230	224	15	,	,	PUNCT
ap-2230	224	16	which	which	PRON
ap-2230	224	17	makes	make	VERB
ap-2230	224	18	it	it	PRON
ap-2230	224	19	difficult	difficult	ADJ
ap-2230	224	20	to	to	PART
ap-2230	224	21	compute	compute	VERB
ap-2230	224	22	the	the	DET
ap-2230	224	23	exploitability	exploitability	NOUN
ap-2230	224	24	of	of	ADP
ap-2230	224	25	the	the	DET
ap-2230	224	26	strategies	strategy	NOUN
ap-2230	224	27	in	in	ADP
ap-2230	224	28	the	the	DET
ap-2230	224	29	whole	whole	ADJ
ap-2230	224	30	game	game	NOUN
ap-2230	224	31	.	.	PUNCT
ap-2230	225	1	therefore	therefore	ADV
ap-2230	225	2	,	,	PUNCT
ap-2230	225	3	we	we	PRON
ap-2230	225	4	initially	initially	ADV
ap-2230	225	5	focus	focus	VERB
ap-2230	225	6	on	on	ADP
ap-2230	225	7	a	a	DET
ap-2230	225	8	simpler	simple	ADJ
ap-2230	225	9	version	version	NOUN
ap-2230	225	10	of	of	ADP
ap-2230	225	11	the	the	DET
ap-2230	225	12	game	game	NOUN
ap-2230	225	13	with	with	ADP
ap-2230	225	14	the	the	DET
ap-2230	225	15	first	first	ADJ
ap-2230	225	16	move	move	NOUN
ap-2230	225	17	enforced	enforce	VERB
ap-2230	225	18	to	to	PART
ap-2230	225	19	be	be	AUX
ap-2230	225	20	to	to	ADP
ap-2230	225	21	the	the	DET
ap-2230	225	22	square	square	NOUN
ap-2230	225	23	in	in	ADP
ap-2230	225	24	the	the	DET
ap-2230	225	25	center	center	NOUN
ap-2230	225	26	of	of	ADP
ap-2230	225	27	the	the	DET
ap-2230	225	28	board	board	NOUN
ap-2230	225	29	.	.	PUNCT
ap-2230	226	1	the	the	DET
ap-2230	226	2	first	first	ADJ
ap-2230	226	3	player	player	NOUN
ap-2230	226	4	has	have	VERB
ap-2230	226	5	only	only	ADV
ap-2230	226	6	this	this	DET
ap-2230	226	7	action	action	NOUN
ap-2230	226	8	available	available	ADJ
ap-2230	226	9	,	,	PUNCT
ap-2230	226	10	and	and	CCONJ
ap-2230	226	11	the	the	DET
ap-2230	226	12	second	second	ADJ
ap-2230	226	13	player	player	NOUN
ap-2230	226	14	can	can	AUX
ap-2230	226	15	also	also	ADV
ap-2230	226	16	first	first	ADV
ap-2230	226	17	play	play	VERB
ap-2230	226	18	only	only	ADV
ap-2230	226	19	this	this	DET
ap-2230	226	20	action	action	NOUN
ap-2230	226	21	,	,	PUNCT
ap-2230	226	22	which	which	PRON
ap-2230	226	23	reveals	reveal	VERB
ap-2230	226	24	the	the	DET
ap-2230	226	25	position	position	NOUN
ap-2230	226	26	of	of	ADP
ap-2230	226	27	the	the	DET
ap-2230	226	28	first	first	ADJ
ap-2230	226	29	player	player	NOUN
ap-2230	226	30	’s	’s	PART
ap-2230	226	31	mark	mark	NOUN
ap-2230	226	32	and	and	CCONJ
ap-2230	226	33	allows	allow	VERB
ap-2230	226	34	the	the	DET
ap-2230	226	35	second	second	ADJ
ap-2230	226	36	player	player	NOUN
ap-2230	226	37	to	to	PART
ap-2230	226	38	move	move	VERB
ap-2230	226	39	again	again	ADV
ap-2230	226	40	.	.	PUNCT
ap-2230	227	1	the	the	DET
ap-2230	227	2	second	second	ADJ
ap-2230	227	3	move	move	NOUN
ap-2230	227	4	of	of	ADP
ap-2230	227	5	the	the	DET
ap-2230	227	6	second	second	ADJ
ap-2230	227	7	player	player	NOUN
ap-2230	227	8	and	and	CCONJ
ap-2230	227	9	all	all	DET
ap-2230	227	10	the	the	DET
ap-2230	227	11	following	follow	VERB
ap-2230	227	12	moves	move	NOUN
ap-2230	227	13	can	can	AUX
ap-2230	227	14	then	then	ADV
ap-2230	227	15	be	be	AUX
ap-2230	227	16	any	any	DET
ap-2230	227	17	legal	legal	ADJ
ap-2230	227	18	moves	move	NOUN
ap-2230	227	19	in	in	ADP
ap-2230	227	20	phantom	phantom	ADJ
ap-2230	227	21	tic	tic	ADJ
ap-2230	227	22	-	-	PUNCT
ap-2230	227	23	tac	tac	NOUN
ap-2230	227	24	-	-	NOUN
ap-2230	227	25	toe	toe	NOUN
ap-2230	227	26	.	.	PUNCT
ap-2230	228	1	the	the	DET
ap-2230	228	2	number	number	NOUN
ap-2230	228	3	of	of	ADP
ap-2230	228	4	iterations	iteration	NOUN
ap-2230	228	5	per	per	ADP
ap-2230	228	6	second	second	NOUN
ap-2230	228	7	in	in	ADP
ap-2230	228	8	this	this	DET
ap-2230	228	9	restricted	restrict	VERB
ap-2230	228	10	game	game	NOUN
ap-2230	228	11	is	be	AUX
ap-2230	228	12	similar	similar	ADJ
ap-2230	228	13	to	to	ADP
ap-2230	228	14	the	the	DET
ap-2230	228	15	previous	previous	ADJ
ap-2230	228	16	game	game	NOUN
ap-2230	228	17	.	.	PUNCT
ap-2230	229	1	rm	rm	PROPN
ap-2230	229	2	makes	make	VERB
ap-2230	229	3	the	the	DET
ap-2230	229	4	most	most	ADJ
ap-2230	229	5	iterations	iteration	NOUN
ap-2230	229	6	(	(	PUNCT
ap-2230	229	7	9.5	9.5	NUM
ap-2230	229	8	×	×	NOUN
ap-2230	229	9	104	104	NUM
ap-2230	229	10	)	)	PUNCT
ap-2230	229	11	,	,	PUNCT
ap-2230	229	12	because	because	SCONJ
ap-2230	229	13	the	the	DET
ap-2230	229	14	337	337	NUM
ap-2230	229	15	viliam	viliam	NOUN
ap-2230	229	16	lisý	lisý	PROPN
ap-2230	229	17	acta	acta	PROPN
ap-2230	229	18	polytechnica	polytechnica	PROPN
ap-2230	229	19	0.1	0.1	NUM
ap-2230	229	20	s	s	NOUN
ap-2230	229	21	uct	uct	PROPN
ap-2230	229	22	exp3	exp3	PROPN
ap-2230	229	23	rm	rm	PROPN
ap-2230	229	24	rand	rand	PROPN
ap-2230	229	25	uct	uct	PROPN
ap-2230	229	26	62.9	62.9	NUM
ap-2230	229	27	(	(	PUNCT
ap-2230	229	28	2.6	2.6	NUM
ap-2230	229	29	)	)	PUNCT
ap-2230	229	30	55.6	55.6	NUM
ap-2230	229	31	(	(	PUNCT
ap-2230	229	32	2.1	2.1	NUM
ap-2230	229	33	)	)	PUNCT
ap-2230	229	34	62.7	62.7	NUM
ap-2230	229	35	(	(	PUNCT
ap-2230	229	36	2.5	2.5	NUM
ap-2230	229	37	)	)	PUNCT
ap-2230	229	38	84.0	84.0	NUM
ap-2230	229	39	(	(	PUNCT
ap-2230	229	40	2.1	2.1	NUM
ap-2230	229	41	)	)	PUNCT
ap-2230	229	42	exp3	exp3	NOUN
ap-2230	229	43	74.5	74.5	NUM
ap-2230	229	44	(	(	PUNCT
ap-2230	229	45	2.2	2.2	NUM
ap-2230	229	46	)	)	PUNCT
ap-2230	229	47	62.8	62.8	NUM
ap-2230	229	48	(	(	PUNCT
ap-2230	229	49	1.6	1.6	NUM
ap-2230	229	50	)	)	PUNCT
ap-2230	229	51	74.8	74.8	NUM
ap-2230	229	52	(	(	PUNCT
ap-2230	229	53	2.0	2.0	NUM
ap-2230	229	54	)	)	PUNCT
ap-2230	229	55	88.0	88.0	NUM
ap-2230	229	56	(	(	PUNCT
ap-2230	229	57	1.9	1.9	NUM
ap-2230	229	58	)	)	PUNCT
ap-2230	229	59	rm	rm	NOUN
ap-2230	229	60	70.6	70.6	NUM
ap-2230	229	61	(	(	PUNCT
ap-2230	229	62	1.7	1.7	NUM
ap-2230	229	63	)	)	PUNCT
ap-2230	229	64	60.0	60.0	NUM
ap-2230	229	65	(	(	PUNCT
ap-2230	229	66	1.6	1.6	NUM
ap-2230	229	67	)	)	PUNCT
ap-2230	229	68	73.1	73.1	NUM
ap-2230	229	69	(	(	PUNCT
ap-2230	229	70	2.1	2.1	NUM
ap-2230	229	71	)	)	PUNCT
ap-2230	229	72	87.8	87.8	NUM
ap-2230	229	73	(	(	PUNCT
ap-2230	229	74	1.4	1.4	NUM
ap-2230	229	75	)	)	PUNCT
ap-2230	229	76	rand	rand	NOUN
ap-2230	229	77	15.7	15.7	NUM
ap-2230	229	78	(	(	PUNCT
ap-2230	229	79	2.2	2.2	NUM
ap-2230	229	80	)	)	PUNCT
ap-2230	229	81	8.2	8.2	NUM
ap-2230	229	82	(	(	PUNCT
ap-2230	229	83	1.6	1.6	NUM
ap-2230	229	84	)	)	PUNCT
ap-2230	229	85	10.3	10.3	NUM
ap-2230	229	86	(	(	PUNCT
ap-2230	229	87	1.8	1.8	NUM
ap-2230	229	88	)	)	PUNCT
ap-2230	229	89	49.7	49.7	NUM
ap-2230	229	90	(	(	PUNCT
ap-2230	229	91	3.0	3.0	NUM
ap-2230	229	92	)	)	PUNCT
ap-2230	229	93	1	1	NUM
ap-2230	229	94	s	s	NOUN
ap-2230	229	95	uct	uct	PROPN
ap-2230	229	96	exp3	exp3	PROPN
ap-2230	229	97	rm	rm	PROPN
ap-2230	229	98	rand	rand	PROPN
ap-2230	229	99	uct	uct	PROPN
ap-2230	229	100	61.5	61.5	NUM
ap-2230	229	101	(	(	PUNCT
ap-2230	229	102	2.7	2.7	NUM
ap-2230	229	103	)	)	PUNCT
ap-2230	229	104	54.0	54.0	NUM
ap-2230	229	105	(	(	PUNCT
ap-2230	229	106	2.1	2.1	NUM
ap-2230	229	107	)	)	PUNCT
ap-2230	229	108	64.5	64.5	NUM
ap-2230	229	109	(	(	PUNCT
ap-2230	229	110	2.5	2.5	NUM
ap-2230	229	111	)	)	PUNCT
ap-2230	229	112	84.2	84.2	NUM
ap-2230	229	113	(	(	PUNCT
ap-2230	229	114	2.1	2.1	NUM
ap-2230	229	115	)	)	PUNCT
ap-2230	229	116	exp3	exp3	NOUN
ap-2230	229	117	74.5	74.5	NUM
ap-2230	229	118	(	(	PUNCT
ap-2230	229	119	2.2	2.2	NUM
ap-2230	229	120	)	)	PUNCT
ap-2230	229	121	61.8	61.8	NUM
ap-2230	229	122	(	(	PUNCT
ap-2230	229	123	1.5	1.5	NUM
ap-2230	229	124	)	)	PUNCT
ap-2230	229	125	75.7	75.7	NUM
ap-2230	229	126	(	(	PUNCT
ap-2230	229	127	2.0	2.0	NUM
ap-2230	229	128	)	)	PUNCT
ap-2230	229	129	87.8	87.8	NUM
ap-2230	229	130	(	(	PUNCT
ap-2230	229	131	1.9	1.9	NUM
ap-2230	229	132	)	)	PUNCT
ap-2230	229	133	rm	rm	NOUN
ap-2230	229	134	72.8	72.8	NUM
ap-2230	229	135	(	(	PUNCT
ap-2230	229	136	2.3	2.3	NUM
ap-2230	229	137	)	)	PUNCT
ap-2230	229	138	59.2	59.2	NUM
ap-2230	229	139	(	(	PUNCT
ap-2230	229	140	1.7	1.7	NUM
ap-2230	229	141	)	)	PUNCT
ap-2230	229	142	75.2	75.2	NUM
ap-2230	229	143	(	(	PUNCT
ap-2230	229	144	2.1	2.1	NUM
ap-2230	229	145	)	)	PUNCT
ap-2230	229	146	88.8	88.8	NUM
ap-2230	229	147	(	(	PUNCT
ap-2230	229	148	1.9	1.9	NUM
ap-2230	229	149	)	)	PUNCT
ap-2230	229	150	rand	rand	NOUN
ap-2230	229	151	14.9	14.9	NUM
ap-2230	229	152	(	(	PUNCT
ap-2230	229	153	2.1	2.1	NUM
ap-2230	229	154	)	)	PUNCT
ap-2230	229	155	8.7	8.7	NUM
ap-2230	229	156	(	(	PUNCT
ap-2230	229	157	1.7	1.7	NUM
ap-2230	229	158	)	)	PUNCT
ap-2230	229	159	10.6	10.6	NUM
ap-2230	229	160	(	(	PUNCT
ap-2230	229	161	1.8	1.8	NUM
ap-2230	229	162	)	)	PUNCT
ap-2230	229	163	48.7	48.7	NUM
ap-2230	229	164	(	(	PUNCT
ap-2230	229	165	3.0	3.0	NUM
ap-2230	229	166	)	)	PUNCT
ap-2230	229	167	table	table	NOUN
ap-2230	229	168	1	1	NUM
ap-2230	229	169	.	.	PUNCT
ap-2230	229	170	win	win	VERB
ap-2230	229	171	rates	rate	NOUN
ap-2230	229	172	of	of	ADP
ap-2230	229	173	the	the	DET
ap-2230	229	174	row	row	NOUN
ap-2230	229	175	player	player	NOUN
ap-2230	229	176	against	against	ADP
ap-2230	229	177	different	different	ADJ
ap-2230	229	178	algorithms	algorithm	NOUN
ap-2230	229	179	in	in	ADP
ap-2230	229	180	imperfect	imperfect	ADJ
ap-2230	229	181	information	information	NOUN
ap-2230	229	182	goofspiel	goofspiel	NOUN
ap-2230	229	183	with	with	ADP
ap-2230	229	184	6	6	NUM
ap-2230	229	185	cards	card	NOUN
ap-2230	229	186	with	with	ADP
ap-2230	229	187	0.1	0.1	NUM
ap-2230	229	188	(	(	PUNCT
ap-2230	229	189	top	top	NOUN
ap-2230	229	190	)	)	PUNCT
ap-2230	229	191	and	and	CCONJ
ap-2230	229	192	1	1	NUM
ap-2230	229	193	(	(	PUNCT
ap-2230	229	194	bottom	bottom	ADJ
ap-2230	229	195	)	)	PUNCT
ap-2230	229	196	second	second	NOUN
ap-2230	229	197	of	of	ADP
ap-2230	229	198	computation	computation	NOUN
ap-2230	229	199	per	per	ADP
ap-2230	229	200	move	move	NOUN
ap-2230	229	201	.	.	PUNCT
ap-2230	230	1	the	the	DET
ap-2230	230	2	number	number	NOUN
ap-2230	230	3	in	in	ADP
ap-2230	230	4	brackets	bracket	NOUN
ap-2230	230	5	indicates	indicate	VERB
ap-2230	230	6	the	the	DET
ap-2230	230	7	95	95	NUM
ap-2230	230	8	%	%	NOUN
ap-2230	230	9	confidence	confidence	NOUN
ap-2230	230	10	interval	interval	NOUN
ap-2230	230	11	.	.	PUNCT
ap-2230	231	1	●	●	PUNCT
ap-2230	231	2	●	●	PUNCT
ap-2230	231	3	●	●	NUM
ap-2230	231	4	●	●	PUNCT
ap-2230	231	5	●	●	PUNCT
ap-2230	231	6	●	●	PUNCT
ap-2230	231	7	●	●	PUNCT
ap-2230	231	8	●	●	PUNCT
ap-2230	231	9	●	●	PUNCT
ap-2230	231	10	●	●	PUNCT
ap-2230	231	11	●	●	PUNCT
ap-2230	231	12	●	●	PUNCT
ap-2230	231	13	●	●	PUNCT
ap-2230	231	14	●	●	PUNCT
ap-2230	231	15	●	●	NUM
ap-2230	231	16	●	●	NUM
ap-2230	231	17	●	●	X
ap-2230	231	18	●	●	NUM
ap-2230	231	19	●	●	NUM
ap-2230	231	20	●	●	NUM
ap-2230	231	21	●	●	SYM
ap-2230	231	22	●	●	NUM
ap-2230	231	23	●	●	SYM
ap-2230	231	24	●	●	NUM
ap-2230	231	25	●	●	NUM
ap-2230	231	26	●	●	PUNCT
ap-2230	231	27	●	●	SYM
ap-2230	231	28	●	●	NUM
ap-2230	231	29	●	●	NOUN
ap-2230	231	30	●	●	NOUN
ap-2230	231	31	●	●	NOUN
ap-2230	231	32	●	●	NOUN
ap-2230	231	33	●	●	NOUN
ap-2230	231	34	●	●	NOUN
ap-2230	231	35	●	●	NOUN
ap-2230	231	36	●	●	NOUN
ap-2230	231	37	●	●	NOUN
ap-2230	231	38	●	●	NOUN
ap-2230	231	39	●	●	NOUN
ap-2230	231	40	●	●	NOUN
ap-2230	231	41	●	●	NOUN
ap-2230	231	42	●	●	NOUN
ap-2230	231	43	●	●	NOUN
ap-2230	231	44	●	●	NOUN
ap-2230	231	45	●	●	NUM
ap-2230	231	46	0.0	0.0	NUM
ap-2230	231	47	0.5	0.5	NUM
ap-2230	231	48	1.0	1.0	NUM
ap-2230	231	49	1.5	1.5	NUM
ap-2230	231	50	2.0	2.0	NUM
ap-2230	231	51	0.1	0.1	NUM
ap-2230	231	52	0.51.0	0.51.0	NUM
ap-2230	231	53	10.0	10.0	NUM
ap-2230	231	54	100.0	100.0	NUM
ap-2230	231	55	1800.0	1800.0	NUM
ap-2230	231	56	time	time	NOUN
ap-2230	231	57	[	[	X
ap-2230	231	58	s	s	X
ap-2230	231	59	]	]	X
ap-2230	231	60	e	e	X
ap-2230	231	61	qu	qu	PROPN
ap-2230	231	62	ili	ili	PROPN
ap-2230	231	63	br	br	PROPN
ap-2230	232	1	iu	iu	ADP
ap-2230	232	2	m	m	PROPN
ap-2230	232	3	d	d	NOUN
ap-2230	232	4	is	be	AUX
ap-2230	232	5	ta	ta	PROPN
ap-2230	232	6	nc	nc	PROPN
ap-2230	232	7	e	e	PROPN
ap-2230	232	8	algorithm	algorithm	PROPN
ap-2230	232	9	●	●	PROPN
ap-2230	232	10	uct	uct	PROPN
ap-2230	232	11	exp3	exp3	PROPN
ap-2230	232	12	rm	rm	PROPN
ap-2230	232	13	figure	figure	NOUN
ap-2230	232	14	2	2	NUM
ap-2230	232	15	.	.	PUNCT
ap-2230	232	16	convergence	convergence	NOUN
ap-2230	232	17	in	in	ADP
ap-2230	232	18	the	the	DET
ap-2230	232	19	game	game	NOUN
ap-2230	232	20	root	root	NOUN
ap-2230	232	21	in	in	ADP
ap-2230	232	22	imperfect	imperfect	ADJ
ap-2230	232	23	information	information	NOUN
ap-2230	232	24	goofspiel	goofspiel	NOUN
ap-2230	232	25	with	with	ADP
ap-2230	232	26	6	6	NUM
ap-2230	232	27	cards	card	NOUN
ap-2230	232	28	.	.	PUNCT
ap-2230	233	1	game	game	NOUN
ap-2230	233	2	initially	initially	ADV
ap-2230	233	3	has	have	VERB
ap-2230	233	4	a	a	DET
ap-2230	233	5	higher	high	ADJ
ap-2230	233	6	number	number	NOUN
ap-2230	233	7	of	of	ADP
ap-2230	233	8	applicable	applicable	ADJ
ap-2230	233	9	actions	action	NOUN
ap-2230	233	10	and	and	CCONJ
ap-2230	233	11	rm	rm	PROPN
ap-2230	233	12	uses	use	VERB
ap-2230	233	13	the	the	DET
ap-2230	233	14	simplest	simple	ADJ
ap-2230	233	15	functions	function	NOUN
ap-2230	233	16	to	to	PART
ap-2230	233	17	compute	compute	VERB
ap-2230	233	18	the	the	DET
ap-2230	233	19	probability	probability	NOUN
ap-2230	233	20	of	of	ADP
ap-2230	233	21	selecting	select	VERB
ap-2230	233	22	each	each	DET
ap-2230	233	23	action	action	NOUN
ap-2230	233	24	.	.	PUNCT
ap-2230	234	1	uct	uct	PROPN
ap-2230	234	2	performs	perform	VERB
ap-2230	234	3	significantly	significantly	ADV
ap-2230	234	4	fewer	few	ADJ
ap-2230	234	5	iterations	iteration	NOUN
ap-2230	234	6	(	(	PUNCT
ap-2230	234	7	5.1×	5.1×	NOUN
ap-2230	234	8	104	104	NUM
ap-2230	234	9	)	)	PUNCT
ap-2230	234	10	,	,	PUNCT
ap-2230	234	11	which	which	PRON
ap-2230	234	12	is	be	AUX
ap-2230	234	13	probably	probably	ADV
ap-2230	234	14	caused	cause	VERB
ap-2230	234	15	by	by	ADP
ap-2230	234	16	the	the	DET
ap-2230	234	17	actions	action	NOUN
ap-2230	234	18	often	often	ADV
ap-2230	234	19	having	have	VERB
ap-2230	234	20	very	very	ADV
ap-2230	234	21	similar	similar	ADJ
ap-2230	234	22	values	value	NOUN
ap-2230	234	23	.	.	PUNCT
ap-2230	235	1	uct	uct	PROPN
ap-2230	235	2	needs	need	VERB
ap-2230	235	3	to	to	PART
ap-2230	235	4	iterate	iterate	VERB
ap-2230	235	5	through	through	ADP
ap-2230	235	6	the	the	DET
ap-2230	235	7	actions	action	NOUN
ap-2230	235	8	multiple	multiple	ADJ
ap-2230	235	9	times	time	NOUN
ap-2230	235	10	to	to	PART
ap-2230	235	11	select	select	VERB
ap-2230	235	12	an	an	DET
ap-2230	235	13	action	action	NOUN
ap-2230	235	14	.	.	PUNCT
ap-2230	236	1	exp3	exp3	PROPN
ap-2230	236	2	is	be	AUX
ap-2230	236	3	again	again	ADV
ap-2230	236	4	the	the	DET
ap-2230	236	5	slowest	slow	ADJ
ap-2230	236	6	,	,	PUNCT
ap-2230	236	7	with	with	ADP
ap-2230	236	8	3.4×	3.4×	PRON
ap-2230	236	9	104	104	NUM
ap-2230	236	10	iterations	iteration	NOUN
ap-2230	236	11	per	per	ADP
ap-2230	236	12	second	second	NOUN
ap-2230	236	13	.	.	PUNCT
ap-2230	237	1	the	the	DET
ap-2230	237	2	convergence	convergence	NOUN
ap-2230	237	3	of	of	ADP
ap-2230	237	4	the	the	DET
ap-2230	237	5	algorithms	algorithm	NOUN
ap-2230	237	6	that	that	PRON
ap-2230	237	7	are	be	AUX
ap-2230	237	8	run	run	VERB
ap-2230	237	9	from	from	ADP
ap-2230	237	10	the	the	DET
ap-2230	237	11	root	root	NOUN
ap-2230	237	12	of	of	ADP
ap-2230	237	13	the	the	DET
ap-2230	237	14	game	game	NOUN
ap-2230	237	15	is	be	AUX
ap-2230	237	16	presented	present	VERB
ap-2230	237	17	in	in	ADP
ap-2230	237	18	figure	figure	NOUN
ap-2230	237	19	3	3	NUM
ap-2230	237	20	.	.	PUNCT
ap-2230	237	21	uct	uct	PROPN
ap-2230	237	22	first	first	ADV
ap-2230	237	23	quickly	quickly	ADV
ap-2230	237	24	reduces	reduce	VERB
ap-2230	237	25	the	the	DET
ap-2230	237	26	exploitability	exploitability	NOUN
ap-2230	237	27	of	of	ADP
ap-2230	237	28	the	the	DET
ap-2230	237	29	strategy	strategy	NOUN
ap-2230	237	30	and	and	CCONJ
ap-2230	237	31	then	then	ADV
ap-2230	237	32	gradually	gradually	ADV
ap-2230	237	33	makes	make	VERB
ap-2230	237	34	the	the	DET
ap-2230	237	35	strategy	strategy	NOUN
ap-2230	237	36	more	more	ADV
ap-2230	237	37	exploitable	exploitable	ADJ
ap-2230	237	38	after	after	ADP
ap-2230	237	39	10	10	NUM
ap-2230	237	40	seconds	second	NOUN
ap-2230	237	41	of	of	ADP
ap-2230	237	42	computation	computation	NOUN
ap-2230	237	43	.	.	PUNCT
ap-2230	238	1	the	the	DET
ap-2230	238	2	minimum	minimum	ADJ
ap-2230	238	3	exploitability	exploitability	NOUN
ap-2230	238	4	achieved	achieve	VERB
ap-2230	238	5	by	by	ADP
ap-2230	238	6	uct	uct	PROPN
ap-2230	238	7	is	be	AUX
ap-2230	238	8	0.27	0.27	NUM
ap-2230	238	9	.	.	PUNCT
ap-2230	238	10	shortly	shortly	ADV
ap-2230	238	11	after	after	ADP
ap-2230	238	12	10	10	NUM
ap-2230	238	13	seconds	second	NOUN
ap-2230	238	14	of	of	ADP
ap-2230	238	15	computation	computation	NOUN
ap-2230	238	16	,	,	PUNCT
ap-2230	238	17	initially	initially	ADV
ap-2230	238	18	the	the	DET
ap-2230	238	19	worst	bad	ADJ
ap-2230	238	20	rm	rm	NOUN
ap-2230	238	21	becomes	become	VERB
ap-2230	238	22	the	the	DET
ap-2230	238	23	best	good	ADJ
ap-2230	238	24	algorithm	algorithm	NOUN
ap-2230	238	25	and	and	CCONJ
ap-2230	238	26	,	,	PUNCT
ap-2230	238	27	after	after	ADP
ap-2230	238	28	the	the	DET
ap-2230	238	29	full	full	ADJ
ap-2230	238	30	30	30	NUM
ap-2230	238	31	minutes	minute	NOUN
ap-2230	238	32	,	,	PUNCT
ap-2230	238	33	it	it	PRON
ap-2230	238	34	converges	converge	VERB
ap-2230	238	35	to	to	ADP
ap-2230	238	36	exploitability	exploitability	NOUN
ap-2230	238	37	of	of	ADP
ap-2230	238	38	0.13	0.13	NUM
ap-2230	238	39	.	.	PUNCT
ap-2230	239	1	exp3	exp3	PROPN
ap-2230	239	2	is	be	AUX
ap-2230	239	3	clearly	clearly	ADV
ap-2230	239	4	the	the	DET
ap-2230	239	5	worst	bad	ADJ
ap-2230	239	6	algorithm	algorithm	NOUN
ap-2230	239	7	between	between	ADP
ap-2230	239	8	the	the	DET
ap-2230	239	9	first	first	ADJ
ap-2230	239	10	and	and	CCONJ
ap-2230	239	11	the	the	DET
ap-2230	239	12	hundredth	hundredth	ADJ
ap-2230	239	13	second	second	NOUN
ap-2230	239	14	.	.	PUNCT
ap-2230	240	1	4.3	4.3	NUM
ap-2230	240	2	.	.	X
ap-2230	241	1	head	head	VERB
ap-2230	241	2	to	to	PART
ap-2230	241	3	head	head	NOUN
ap-2230	241	4	matches	match	NOUN
ap-2230	241	5	after	after	ADP
ap-2230	241	6	analyzing	analyze	VERB
ap-2230	241	7	the	the	DET
ap-2230	241	8	convergence	convergence	NOUN
ap-2230	241	9	of	of	ADP
ap-2230	241	10	the	the	DET
ap-2230	241	11	strategies	strategy	NOUN
ap-2230	241	12	computed	compute	VERB
ap-2230	241	13	by	by	ADP
ap-2230	241	14	the	the	DET
ap-2230	241	15	sampling	sample	VERB
ap-2230	241	16	algorithms	algorithm	NOUN
ap-2230	241	17	,	,	PUNCT
ap-2230	241	18	we	we	PRON
ap-2230	241	19	evaluate	evaluate	VERB
ap-2230	241	20	how	how	SCONJ
ap-2230	241	21	this	this	DET
ap-2230	241	22	property	property	NOUN
ap-2230	241	23	translates	translate	VERB
ap-2230	241	24	to	to	ADP
ap-2230	241	25	the	the	DET
ap-2230	241	26	actual	actual	ADJ
ap-2230	241	27	performance	performance	NOUN
ap-2230	241	28	of	of	ADP
ap-2230	241	29	the	the	DET
ap-2230	241	30	algorithms	algorithm	NOUN
ap-2230	241	31	in	in	ADP
ap-2230	241	32	head	head	NOUN
ap-2230	241	33	-	-	PUNCT
ap-2230	241	34	to	to	ADP
ap-2230	241	35	-	-	PUNCT
ap-2230	241	36	head	head	NOUN
ap-2230	241	37	matches	match	NOUN
ap-2230	241	38	.	.	PUNCT
ap-2230	242	1	all	all	PRON
ap-2230	242	2	presented	present	VERB
ap-2230	242	3	results	result	NOUN
ap-2230	242	4	are	be	AUX
ap-2230	242	5	an	an	DET
ap-2230	242	6	average	average	NOUN
ap-2230	242	7	of	of	ADP
ap-2230	242	8	1000	1000	NUM
ap-2230	242	9	matches	match	NOUN
ap-2230	242	10	.	.	PUNCT
ap-2230	243	1	we	we	PRON
ap-2230	243	2	first	first	ADV
ap-2230	243	3	evaluate	evaluate	VERB
ap-2230	243	4	the	the	DET
ap-2230	243	5	small	small	ADJ
ap-2230	243	6	game	game	NOUN
ap-2230	243	7	used	use	VERB
ap-2230	243	8	for	for	ADP
ap-2230	243	9	computation	computation	NOUN
ap-2230	243	10	of	of	ADP
ap-2230	243	11	●	●	SYM
ap-2230	243	12	●	●	PUNCT
ap-2230	243	13	●	●	NUM
ap-2230	243	14	●	●	PUNCT
ap-2230	243	15	●	●	PUNCT
ap-2230	243	16	●	●	PUNCT
ap-2230	243	17	●	●	PUNCT
ap-2230	243	18	●	●	PUNCT
ap-2230	243	19	●	●	PUNCT
ap-2230	243	20	●	●	PUNCT
ap-2230	243	21	●	●	PUNCT
ap-2230	243	22	●	●	PUNCT
ap-2230	243	23	●	●	PUNCT
ap-2230	243	24	●	●	NUM
ap-2230	243	25	●	●	NUM
ap-2230	243	26	●	●	NUM
ap-2230	243	27	●	●	NUM
ap-2230	243	28	●	●	NUM
ap-2230	243	29	●	●	NUM
ap-2230	243	30	●	●	SYM
ap-2230	243	31	●	●	NUM
ap-2230	243	32	●	●	NUM
ap-2230	243	33	●	●	NUM
ap-2230	243	34	●	●	NOUN
ap-2230	243	35	●	●	NUM
ap-2230	243	36	●	●	NUM
ap-2230	243	37	●	●	NOUN
ap-2230	243	38	●	●	NOUN
ap-2230	243	39	●	●	NUM
ap-2230	243	40	●	●	NUM
ap-2230	243	41	●	●	NOUN
ap-2230	243	42	●	●	NOUN
ap-2230	243	43	●	●	NOUN
ap-2230	243	44	●	●	NOUN
ap-2230	243	45	●	●	NOUN
ap-2230	243	46	●	●	NOUN
ap-2230	243	47	●	●	NOUN
ap-2230	243	48	●	●	NOUN
ap-2230	243	49	●	●	NOUN
ap-2230	243	50	●	●	NOUN
ap-2230	243	51	●	●	NOUN
ap-2230	243	52	●	●	NOUN
ap-2230	243	53	●	●	NOUN
ap-2230	243	54	●	●	NOUN
ap-2230	243	55	●	●	NUM
ap-2230	243	56	0.0	0.0	NUM
ap-2230	243	57	0.5	0.5	NUM
ap-2230	243	58	1.0	1.0	NUM
ap-2230	243	59	1.5	1.5	NUM
ap-2230	243	60	2.0	2.0	NUM
ap-2230	243	61	0.1	0.1	NUM
ap-2230	243	62	0.51.0	0.51.0	NUM
ap-2230	243	63	10.0	10.0	NUM
ap-2230	243	64	100.0	100.0	NUM
ap-2230	243	65	1800.0	1800.0	NUM
ap-2230	243	66	time	time	NOUN
ap-2230	243	67	[	[	X
ap-2230	243	68	s	s	X
ap-2230	243	69	]	]	X
ap-2230	243	70	e	e	X
ap-2230	243	71	qu	qu	PROPN
ap-2230	243	72	ili	ili	PROPN
ap-2230	243	73	br	br	PROPN
ap-2230	244	1	iu	iu	ADP
ap-2230	244	2	m	m	PROPN
ap-2230	244	3	d	d	NOUN
ap-2230	244	4	is	be	AUX
ap-2230	244	5	ta	ta	PROPN
ap-2230	244	6	nc	nc	PROPN
ap-2230	244	7	e	e	PROPN
ap-2230	244	8	algorithm	algorithm	PROPN
ap-2230	244	9	●	●	PROPN
ap-2230	244	10	uct	uct	PROPN
ap-2230	244	11	exp3	exp3	PROPN
ap-2230	244	12	rm	rm	PROPN
ap-2230	244	13	figure	figure	NOUN
ap-2230	244	14	3	3	NUM
ap-2230	244	15	.	.	PUNCT
ap-2230	244	16	convergence	convergence	NOUN
ap-2230	244	17	and	and	CCONJ
ap-2230	244	18	game	game	NOUN
ap-2230	244	19	playing	play	VERB
ap-2230	244	20	comparison	comparison	NOUN
ap-2230	244	21	of	of	ADP
ap-2230	244	22	different	different	ADJ
ap-2230	244	23	algorithms	algorithm	NOUN
ap-2230	244	24	on	on	ADP
ap-2230	244	25	phantom	phantom	ADJ
ap-2230	244	26	tic	tic	ADJ
ap-2230	244	27	-	-	PUNCT
ap-2230	244	28	tac	tac	NOUN
ap-2230	244	29	-	-	PUNCT
ap-2230	244	30	toe	toe	NOUN
ap-2230	244	31	,	,	PUNCT
ap-2230	244	32	in	in	ADP
ap-2230	244	33	which	which	PRON
ap-2230	244	34	the	the	DET
ap-2230	244	35	first	first	ADJ
ap-2230	244	36	move	move	NOUN
ap-2230	244	37	of	of	ADP
ap-2230	244	38	each	each	DET
ap-2230	244	39	player	player	NOUN
ap-2230	244	40	is	be	AUX
ap-2230	244	41	forced	force	VERB
ap-2230	244	42	to	to	PART
ap-2230	244	43	be	be	AUX
ap-2230	244	44	to	to	ADP
ap-2230	244	45	the	the	DET
ap-2230	244	46	middle	middle	PROPN
ap-2230	244	47	square	square	PROPN
ap-2230	244	48	.	.	PUNCT
ap-2230	245	1	the	the	DET
ap-2230	245	2	exploitability	exploitability	NOUN
ap-2230	245	3	from	from	ADP
ap-2230	245	4	the	the	DET
ap-2230	245	5	previous	previous	ADJ
ap-2230	245	6	section	section	NOUN
ap-2230	245	7	to	to	PART
ap-2230	245	8	see	see	VERB
ap-2230	245	9	the	the	DET
ap-2230	245	10	connection	connection	NOUN
ap-2230	245	11	to	to	ADP
ap-2230	245	12	the	the	DET
ap-2230	245	13	exploitabilities	exploitabilitie	NOUN
ap-2230	245	14	,	,	PUNCT
ap-2230	245	15	and	and	CCONJ
ap-2230	245	16	then	then	ADV
ap-2230	245	17	we	we	PRON
ap-2230	245	18	focus	focus	VERB
ap-2230	245	19	on	on	ADP
ap-2230	245	20	substantially	substantially	ADV
ap-2230	245	21	larger	large	ADJ
ap-2230	245	22	games	game	NOUN
ap-2230	245	23	to	to	PART
ap-2230	245	24	evaluate	evaluate	VERB
ap-2230	245	25	practical	practical	ADJ
ap-2230	245	26	applicability	applicability	NOUN
ap-2230	245	27	.	.	PUNCT
ap-2230	246	1	table	table	NOUN
ap-2230	246	2	1	1	NUM
ap-2230	246	3	presents	present	VERB
ap-2230	246	4	the	the	DET
ap-2230	246	5	win	win	NOUN
ap-2230	246	6	rates	rate	NOUN
ap-2230	246	7	of	of	ADP
ap-2230	246	8	the	the	DET
ap-2230	246	9	algorithms	algorithm	NOUN
ap-2230	246	10	in	in	ADP
ap-2230	246	11	mutual	mutual	ADJ
ap-2230	246	12	matches	match	NOUN
ap-2230	246	13	in	in	ADP
ap-2230	246	14	imperfect	imperfect	ADJ
ap-2230	246	15	information	information	NOUN
ap-2230	246	16	goofspiel	goofspiel	NOUN
ap-2230	246	17	with	with	ADP
ap-2230	246	18	6	6	NUM
ap-2230	246	19	cards	card	NOUN
ap-2230	246	20	per	per	ADP
ap-2230	246	21	deck	deck	NOUN
ap-2230	246	22	.	.	PUNCT
ap-2230	247	1	the	the	DET
ap-2230	247	2	table	table	NOUN
ap-2230	247	3	on	on	ADP
ap-2230	247	4	the	the	DET
ap-2230	247	5	top	top	NOUN
ap-2230	247	6	presents	present	VERB
ap-2230	247	7	the	the	DET
ap-2230	247	8	results	result	NOUN
ap-2230	247	9	with	with	ADP
ap-2230	247	10	0.1	0.1	NUM
ap-2230	247	11	second	second	ADJ
ap-2230	247	12	per	per	ADP
ap-2230	247	13	move	move	NOUN
ap-2230	247	14	and	and	CCONJ
ap-2230	247	15	the	the	DET
ap-2230	247	16	table	table	NOUN
ap-2230	247	17	on	on	ADP
ap-2230	247	18	the	the	DET
ap-2230	247	19	bottom	bottom	NOUN
ap-2230	247	20	presents	present	VERB
ap-2230	247	21	the	the	DET
ap-2230	247	22	results	result	NOUN
ap-2230	247	23	with	with	ADP
ap-2230	247	24	1	1	NUM
ap-2230	247	25	second	second	NOUN
ap-2230	247	26	per	per	ADP
ap-2230	247	27	move	move	NOUN
ap-2230	247	28	,	,	PUNCT
ap-2230	247	29	but	but	CCONJ
ap-2230	247	30	they	they	PRON
ap-2230	247	31	are	be	AUX
ap-2230	247	32	very	very	ADV
ap-2230	247	33	similar	similar	ADJ
ap-2230	247	34	.	.	PUNCT
ap-2230	248	1	the	the	DET
ap-2230	248	2	first	first	ADJ
ap-2230	248	3	important	important	ADJ
ap-2230	248	4	observation	observation	NOUN
ap-2230	248	5	is	be	AUX
ap-2230	248	6	that	that	SCONJ
ap-2230	248	7	even	even	ADV
ap-2230	248	8	though	though	SCONJ
ap-2230	248	9	the	the	DET
ap-2230	248	10	game	game	NOUN
ap-2230	248	11	is	be	AUX
ap-2230	248	12	symmetric	symmetric	ADJ
ap-2230	248	13	and	and	CCONJ
ap-2230	248	14	the	the	DET
ap-2230	248	15	first	first	ADJ
ap-2230	248	16	player	player	NOUN
ap-2230	248	17	does	do	AUX
ap-2230	248	18	not	not	PART
ap-2230	248	19	have	have	VERB
ap-2230	248	20	any	any	DET
ap-2230	248	21	advantage	advantage	NOUN
ap-2230	248	22	,	,	PUNCT
ap-2230	248	23	all	all	PRON
ap-2230	248	24	is	be	AUX
ap-2230	248	25	-	-	PUNCT
ap-2230	248	26	mcts	mct	NOUN
ap-2230	248	27	variants	variant	NOUN
ap-2230	248	28	perform	perform	VERB
ap-2230	248	29	much	much	ADV
ap-2230	248	30	better	well	ADJ
ap-2230	248	31	as	as	ADP
ap-2230	248	32	the	the	DET
ap-2230	248	33	first	first	ADJ
ap-2230	248	34	player	player	NOUN
ap-2230	248	35	(	(	PUNCT
ap-2230	248	36	rows	row	NOUN
ap-2230	248	37	)	)	PUNCT
ap-2230	248	38	.	.	PUNCT
ap-2230	249	1	the	the	DET
ap-2230	249	2	reason	reason	NOUN
ap-2230	249	3	is	be	AUX
ap-2230	249	4	the	the	DET
ap-2230	249	5	asymmetry	asymmetry	NOUN
ap-2230	249	6	of	of	ADP
ap-2230	249	7	the	the	DET
ap-2230	249	8	game	game	NOUN
ap-2230	249	9	model	model	NOUN
ap-2230	249	10	in	in	ADP
ap-2230	249	11	the	the	DET
ap-2230	249	12	form	form	NOUN
ap-2230	249	13	of	of	ADP
ap-2230	249	14	efg	efg	NOUN
ap-2230	249	15	.	.	PUNCT
ap-2230	250	1	even	even	ADV
ap-2230	250	2	though	though	SCONJ
ap-2230	250	3	in	in	ADP
ap-2230	250	4	reality	reality	NOUN
ap-2230	250	5	the	the	DET
ap-2230	250	6	players	player	NOUN
ap-2230	250	7	choose	choose	VERB
ap-2230	250	8	an	an	DET
ap-2230	250	9	action	action	NOUN
ap-2230	250	10	simultaneously	simultaneously	ADV
ap-2230	250	11	,	,	PUNCT
ap-2230	250	12	the	the	DET
ap-2230	250	13	game	game	NOUN
ap-2230	250	14	models	model	NOUN
ap-2230	250	15	this	this	DET
ap-2230	250	16	fact	fact	NOUN
ap-2230	250	17	as	as	ADP
ap-2230	250	18	a	a	DET
ap-2230	250	19	sequential	sequential	ADJ
ap-2230	250	20	decision	decision	NOUN
ap-2230	250	21	with	with	ADP
ap-2230	250	22	hidden	hidden	ADJ
ap-2230	250	23	information	information	NOUN
ap-2230	250	24	.	.	PUNCT
ap-2230	251	1	as	as	ADP
ap-2230	251	2	a	a	DET
ap-2230	251	3	result	result	NOUN
ap-2230	251	4	,	,	PUNCT
ap-2230	251	5	the	the	DET
ap-2230	251	6	second	second	ADJ
ap-2230	251	7	player	player	NOUN
ap-2230	251	8	has	have	VERB
ap-2230	251	9	substantially	substantially	ADV
ap-2230	251	10	larger	large	ADJ
ap-2230	251	11	information	information	NOUN
ap-2230	251	12	sets	set	NOUN
ap-2230	251	13	than	than	ADP
ap-2230	251	14	the	the	DET
ap-2230	251	15	first	first	ADJ
ap-2230	251	16	player	player	NOUN
ap-2230	251	17	.	.	PUNCT
ap-2230	252	1	if	if	SCONJ
ap-2230	252	2	the	the	DET
ap-2230	252	3	search	search	NOUN
ap-2230	252	4	is	be	AUX
ap-2230	252	5	run	run	VERB
ap-2230	252	6	from	from	ADP
ap-2230	252	7	a	a	DET
ap-2230	252	8	larger	large	ADJ
ap-2230	252	9	information	information	NOUN
ap-2230	252	10	set	set	NOUN
ap-2230	252	11	,	,	PUNCT
ap-2230	252	12	it	it	PRON
ap-2230	252	13	is	be	AUX
ap-2230	252	14	generally	generally	ADV
ap-2230	252	15	more	more	ADV
ap-2230	252	16	important	important	ADJ
ap-2230	252	17	to	to	PART
ap-2230	252	18	have	have	VERB
ap-2230	252	19	a	a	DET
ap-2230	252	20	good	good	ADJ
ap-2230	252	21	approximation	approximation	NOUN
ap-2230	252	22	of	of	ADP
ap-2230	252	23	the	the	DET
ap-2230	252	24	probability	probability	NOUN
ap-2230	252	25	of	of	ADP
ap-2230	252	26	the	the	DET
ap-2230	252	27	individual	individual	ADJ
ap-2230	252	28	states	state	NOUN
ap-2230	252	29	being	be	AUX
ap-2230	252	30	the	the	DET
ap-2230	252	31	actual	actual	ADJ
ap-2230	252	32	state	state	NOUN
ap-2230	252	33	of	of	ADP
ap-2230	252	34	the	the	DET
ap-2230	252	35	game	game	NOUN
ap-2230	252	36	.	.	PUNCT
ap-2230	253	1	the	the	DET
ap-2230	253	2	second	second	ADJ
ap-2230	253	3	player	player	NOUN
ap-2230	253	4	is	be	AUX
ap-2230	253	5	at	at	ADP
ap-2230	253	6	a	a	DET
ap-2230	253	7	large	large	ADJ
ap-2230	253	8	disadvantage	disadvantage	NOUN
ap-2230	253	9	here	here	ADV
ap-2230	253	10	.	.	PUNCT
ap-2230	254	1	is	be	AUX
ap-2230	254	2	-	-	PUNCT
ap-2230	254	3	mcts	mct	NOUN
ap-2230	254	4	with	with	ADP
ap-2230	254	5	exp3	exp3	NOUN
ap-2230	254	6	wins	win	VERB
ap-2230	254	7	the	the	DET
ap-2230	254	8	most	most	ADJ
ap-2230	254	9	from	from	ADP
ap-2230	254	10	the	the	DET
ap-2230	254	11	first	first	ADJ
ap-2230	254	12	338	338	NUM
ap-2230	254	13	vol	vol	NOUN
ap-2230	254	14	.	.	PUNCT
ap-2230	255	1	54	54	NUM
ap-2230	255	2	no	no	NOUN
ap-2230	255	3	.	.	PUNCT
ap-2230	256	1	5/2014	5/2014	NUM
ap-2230	256	2	selection	selection	NOUN
ap-2230	256	3	functions	function	NOUN
ap-2230	256	4	for	for	ADP
ap-2230	256	5	is	is	NOUN
ap-2230	256	6	-	-	PUNCT
ap-2230	256	7	mcts	mcts	X
ap-2230	256	8	1	1	NUM
ap-2230	256	9	s	s	NOUN
ap-2230	256	10	uct	uct	PROPN
ap-2230	256	11	exp3	exp3	PROPN
ap-2230	256	12	rm	rm	PROPN
ap-2230	256	13	rand	rand	PROPN
ap-2230	256	14	uct	uct	PROPN
ap-2230	256	15	70.0	70.0	NUM
ap-2230	256	16	(	(	PUNCT
ap-2230	256	17	2.8	2.8	NUM
ap-2230	256	18	)	)	PUNCT
ap-2230	256	19	67.7	67.7	NUM
ap-2230	256	20	(	(	PUNCT
ap-2230	256	21	2.9	2.9	NUM
ap-2230	256	22	)	)	PUNCT
ap-2230	256	23	61.0	61.0	NUM
ap-2230	256	24	(	(	PUNCT
ap-2230	256	25	3.0	3.0	NUM
ap-2230	256	26	)	)	PUNCT
ap-2230	256	27	90.6	90.6	NUM
ap-2230	256	28	(	(	PUNCT
ap-2230	256	29	1.8	1.8	NUM
ap-2230	256	30	)	)	PUNCT
ap-2230	256	31	exp3	exp3	NOUN
ap-2230	256	32	79.5	79.5	NUM
ap-2230	256	33	(	(	PUNCT
ap-2230	256	34	2.5	2.5	NUM
ap-2230	256	35	)	)	PUNCT
ap-2230	256	36	63.2	63.2	NUM
ap-2230	256	37	(	(	PUNCT
ap-2230	256	38	2.8	2.8	NUM
ap-2230	256	39	)	)	PUNCT
ap-2230	256	40	66.4	66.4	NUM
ap-2230	256	41	(	(	PUNCT
ap-2230	256	42	2.9	2.9	NUM
ap-2230	256	43	)	)	PUNCT
ap-2230	256	44	95.6	95.6	NUM
ap-2230	256	45	(	(	PUNCT
ap-2230	256	46	1.2	1.2	NUM
ap-2230	256	47	)	)	PUNCT
ap-2230	256	48	rm	rm	NOUN
ap-2230	256	49	73.8	73.8	NUM
ap-2230	256	50	(	(	PUNCT
ap-2230	256	51	2.7	2.7	NUM
ap-2230	256	52	)	)	PUNCT
ap-2230	256	53	68.2	68.2	NUM
ap-2230	256	54	(	(	PUNCT
ap-2230	256	55	2.8	2.8	NUM
ap-2230	256	56	)	)	PUNCT
ap-2230	256	57	67.5	67.5	NUM
ap-2230	256	58	(	(	PUNCT
ap-2230	256	59	2.9	2.9	NUM
ap-2230	256	60	)	)	PUNCT
ap-2230	256	61	92.8	92.8	NUM
ap-2230	256	62	(	(	PUNCT
ap-2230	256	63	1.5	1.5	NUM
ap-2230	256	64	)	)	PUNCT
ap-2230	256	65	rand	rand	NOUN
ap-2230	256	66	6.2	6.2	NUM
ap-2230	256	67	(	(	PUNCT
ap-2230	256	68	1.5	1.5	NUM
ap-2230	256	69	)	)	PUNCT
ap-2230	256	70	4.0	4.0	NUM
ap-2230	256	71	(	(	PUNCT
ap-2230	256	72	1.2	1.2	NUM
ap-2230	256	73	)	)	PUNCT
ap-2230	256	74	4.9	4.9	NUM
ap-2230	256	75	(	(	PUNCT
ap-2230	256	76	1.3	1.3	NUM
ap-2230	256	77	)	)	PUNCT
ap-2230	256	78	49.0	49.0	NUM
ap-2230	256	79	(	(	PUNCT
ap-2230	256	80	3.0	3.0	NUM
ap-2230	256	81	)	)	PUNCT
ap-2230	256	82	table	table	NOUN
ap-2230	256	83	2	2	NUM
ap-2230	256	84	.	.	PUNCT
ap-2230	256	85	win	win	NOUN
ap-2230	256	86	rate	rate	NOUN
ap-2230	256	87	of	of	ADP
ap-2230	256	88	different	different	ADJ
ap-2230	256	89	algorithms	algorithm	NOUN
ap-2230	256	90	on	on	ADP
ap-2230	256	91	imperfect	imperfect	ADJ
ap-2230	256	92	information	information	NOUN
ap-2230	256	93	goofspiel	goofspiel	NOUN
ap-2230	256	94	with	with	ADP
ap-2230	256	95	13	13	NUM
ap-2230	256	96	cards	card	NOUN
ap-2230	256	97	.	.	PUNCT
ap-2230	257	1	the	the	DET
ap-2230	257	2	number	number	NOUN
ap-2230	257	3	in	in	ADP
ap-2230	257	4	brackets	bracket	NOUN
ap-2230	257	5	indicates	indicate	VERB
ap-2230	257	6	the	the	DET
ap-2230	257	7	95	95	NUM
ap-2230	257	8	%	%	NOUN
ap-2230	257	9	confidence	confidence	NOUN
ap-2230	257	10	interval	interval	NOUN
ap-2230	257	11	.	.	PUNCT
ap-2230	258	1	0.1	0.1	NUM
ap-2230	258	2	s	s	PART
ap-2230	258	3	uct	uct	PROPN
ap-2230	258	4	exp3	exp3	PROPN
ap-2230	258	5	rm	rm	PROPN
ap-2230	258	6	rand	rand	PROPN
ap-2230	258	7	uct	uct	PROPN
ap-2230	258	8	85.9	85.9	NUM
ap-2230	258	9	(	(	PUNCT
ap-2230	258	10	1.7	1.7	NUM
ap-2230	258	11	)	)	PUNCT
ap-2230	258	12	84.8	84.8	NUM
ap-2230	258	13	(	(	PUNCT
ap-2230	258	14	1.7	1.7	NUM
ap-2230	258	15	)	)	PUNCT
ap-2230	258	16	82.3	82.3	NUM
ap-2230	258	17	(	(	PUNCT
ap-2230	258	18	1.8	1.8	NUM
ap-2230	258	19	)	)	PUNCT
ap-2230	258	20	95.6	95.6	NUM
ap-2230	258	21	(	(	PUNCT
ap-2230	258	22	1.1	1.1	NUM
ap-2230	258	23	)	)	PUNCT
ap-2230	258	24	exp3	exp3	NOUN
ap-2230	258	25	87.2	87.2	NUM
ap-2230	258	26	(	(	PUNCT
ap-2230	258	27	1.6	1.6	NUM
ap-2230	258	28	)	)	PUNCT
ap-2230	258	29	88.1	88.1	NUM
ap-2230	258	30	(	(	PUNCT
ap-2230	258	31	1.5	1.5	NUM
ap-2230	258	32	)	)	PUNCT
ap-2230	258	33	85.3	85.3	NUM
ap-2230	258	34	(	(	PUNCT
ap-2230	258	35	1.6	1.6	NUM
ap-2230	258	36	)	)	PUNCT
ap-2230	258	37	96.6	96.6	NUM
ap-2230	258	38	(	(	PUNCT
ap-2230	258	39	1.0	1.0	NUM
ap-2230	258	40	)	)	PUNCT
ap-2230	258	41	rm	rm	NOUN
ap-2230	258	42	87.7	87.7	NUM
ap-2230	258	43	(	(	PUNCT
ap-2230	258	44	1.6	1.6	NUM
ap-2230	258	45	)	)	PUNCT
ap-2230	258	46	88.1	88.1	NUM
ap-2230	258	47	(	(	PUNCT
ap-2230	258	48	1.4	1.4	NUM
ap-2230	258	49	)	)	PUNCT
ap-2230	258	50	85.2	85.2	NUM
ap-2230	258	51	(	(	PUNCT
ap-2230	258	52	1.5	1.5	NUM
ap-2230	258	53	)	)	PUNCT
ap-2230	258	54	96.0	96.0	NUM
ap-2230	258	55	(	(	PUNCT
ap-2230	258	56	1.0	1.0	NUM
ap-2230	258	57	)	)	PUNCT
ap-2230	258	58	rand	rand	NOUN
ap-2230	258	59	50.5	50.5	NUM
ap-2230	258	60	(	(	PUNCT
ap-2230	258	61	3.0	3.0	NUM
ap-2230	258	62	)	)	PUNCT
ap-2230	258	63	46.1	46.1	NUM
ap-2230	258	64	(	(	PUNCT
ap-2230	258	65	3.0	3.0	NUM
ap-2230	258	66	)	)	PUNCT
ap-2230	258	67	48.0	48.0	NUM
ap-2230	258	68	(	(	PUNCT
ap-2230	258	69	3.0	3.0	NUM
ap-2230	258	70	)	)	PUNCT
ap-2230	258	71	71.4	71.4	NUM
ap-2230	258	72	(	(	PUNCT
ap-2230	258	73	2.7	2.7	NUM
ap-2230	258	74	)	)	PUNCT
ap-2230	258	75	1	1	NUM
ap-2230	258	76	s	s	NOUN
ap-2230	258	77	uct	uct	PROPN
ap-2230	258	78	exp3	exp3	PROPN
ap-2230	258	79	rm	rm	PROPN
ap-2230	258	80	rand	rand	PROPN
ap-2230	258	81	uct	uct	PROPN
ap-2230	258	82	86.5	86.5	NUM
ap-2230	258	83	(	(	PUNCT
ap-2230	258	84	1.8	1.8	NUM
ap-2230	258	85	)	)	PUNCT
ap-2230	258	86	86.3	86.3	NUM
ap-2230	258	87	(	(	PUNCT
ap-2230	258	88	1.7	1.7	NUM
ap-2230	258	89	)	)	PUNCT
ap-2230	258	90	84.0	84.0	NUM
ap-2230	258	91	(	(	PUNCT
ap-2230	258	92	1.8	1.8	NUM
ap-2230	258	93	)	)	PUNCT
ap-2230	258	94	95.2	95.2	NUM
ap-2230	258	95	(	(	PUNCT
ap-2230	258	96	1.1	1.1	NUM
ap-2230	258	97	)	)	PUNCT
ap-2230	258	98	exp3	exp3	NOUN
ap-2230	258	99	88.5	88.5	NUM
ap-2230	258	100	(	(	PUNCT
ap-2230	258	101	1.6	1.6	NUM
ap-2230	258	102	)	)	PUNCT
ap-2230	258	103	88.5	88.5	NUM
ap-2230	258	104	(	(	PUNCT
ap-2230	258	105	1.5	1.5	NUM
ap-2230	258	106	)	)	PUNCT
ap-2230	258	107	87.0	87.0	NUM
ap-2230	258	108	(	(	PUNCT
ap-2230	258	109	1.6	1.6	NUM
ap-2230	258	110	)	)	PUNCT
ap-2230	258	111	96.2	96.2	NUM
ap-2230	258	112	(	(	PUNCT
ap-2230	258	113	1.0	1.0	NUM
ap-2230	258	114	)	)	PUNCT
ap-2230	258	115	rm	rm	NOUN
ap-2230	258	116	90.0	90.0	NUM
ap-2230	258	117	(	(	PUNCT
ap-2230	258	118	1.4	1.4	NUM
ap-2230	258	119	)	)	PUNCT
ap-2230	258	120	87.4	87.4	NUM
ap-2230	258	121	(	(	PUNCT
ap-2230	258	122	1.5	1.5	NUM
ap-2230	258	123	)	)	PUNCT
ap-2230	258	124	85.2	85.2	NUM
ap-2230	258	125	(	(	PUNCT
ap-2230	258	126	1.5	1.5	NUM
ap-2230	258	127	)	)	PUNCT
ap-2230	258	128	96.3	96.3	NUM
ap-2230	258	129	(	(	PUNCT
ap-2230	258	130	1.0	1.0	NUM
ap-2230	258	131	)	)	PUNCT
ap-2230	258	132	rand	rand	NOUN
ap-2230	258	133	52.0	52.0	NUM
ap-2230	258	134	(	(	PUNCT
ap-2230	258	135	3.0	3.0	NUM
ap-2230	258	136	)	)	PUNCT
ap-2230	258	137	48.9	48.9	NUM
ap-2230	258	138	(	(	PUNCT
ap-2230	258	139	3.0	3.0	NUM
ap-2230	258	140	)	)	PUNCT
ap-2230	258	141	46.2	46.2	NUM
ap-2230	258	142	(	(	PUNCT
ap-2230	258	143	2.9	2.9	NUM
ap-2230	258	144	)	)	PUNCT
ap-2230	258	145	70.9	70.9	NUM
ap-2230	258	146	(	(	PUNCT
ap-2230	258	147	2.7	2.7	NUM
ap-2230	258	148	)	)	PUNCT
ap-2230	258	149	table	table	NOUN
ap-2230	258	150	3	3	NUM
ap-2230	258	151	.	.	PUNCT
ap-2230	259	1	win	win	NOUN
ap-2230	259	2	rate	rate	NOUN
ap-2230	259	3	of	of	ADP
ap-2230	259	4	different	different	ADJ
ap-2230	259	5	algorithms	algorithm	NOUN
ap-2230	259	6	on	on	ADP
ap-2230	259	7	full	full	ADJ
ap-2230	259	8	phantom	phantom	ADJ
ap-2230	259	9	tic	tic	ADJ
ap-2230	259	10	-	-	PUNCT
ap-2230	259	11	tac	tac	NOUN
ap-2230	259	12	-	-	NOUN
ap-2230	259	13	toe	toe	NOUN
ap-2230	259	14	.	.	PUNCT
ap-2230	260	1	the	the	DET
ap-2230	260	2	number	number	NOUN
ap-2230	260	3	in	in	ADP
ap-2230	260	4	brackets	bracket	NOUN
ap-2230	260	5	indicates	indicate	VERB
ap-2230	260	6	the	the	DET
ap-2230	260	7	95	95	NUM
ap-2230	260	8	%	%	NOUN
ap-2230	260	9	confidence	confidence	NOUN
ap-2230	260	10	interval	interval	NOUN
ap-2230	260	11	.	.	PUNCT
ap-2230	261	1	position	position	NOUN
ap-2230	261	2	and	and	CCONJ
ap-2230	261	3	loses	lose	VERB
ap-2230	261	4	the	the	DET
ap-2230	261	5	least	least	ADJ
ap-2230	261	6	from	from	ADP
ap-2230	261	7	the	the	DET
ap-2230	261	8	second	second	ADJ
ap-2230	261	9	position	position	NOUN
ap-2230	261	10	.	.	PUNCT
ap-2230	262	1	this	this	PRON
ap-2230	262	2	is	be	AUX
ap-2230	262	3	a	a	DET
ap-2230	262	4	surprising	surprising	ADJ
ap-2230	262	5	result	result	NOUN
ap-2230	262	6	,	,	PUNCT
ap-2230	262	7	as	as	SCONJ
ap-2230	262	8	exp3	exp3	NOUN
ap-2230	262	9	has	have	VERB
ap-2230	262	10	the	the	DET
ap-2230	262	11	slowest	slow	ADJ
ap-2230	262	12	convergence	convergence	NOUN
ap-2230	262	13	.	.	PUNCT
ap-2230	263	1	apparently	apparently	ADV
ap-2230	263	2	,	,	PUNCT
ap-2230	263	3	it	it	PRON
ap-2230	263	4	quickly	quickly	ADV
ap-2230	263	5	reaches	reach	VERB
ap-2230	263	6	a	a	DET
ap-2230	263	7	strategy	strategy	NOUN
ap-2230	263	8	that	that	PRON
ap-2230	263	9	is	be	AUX
ap-2230	263	10	exploitable	exploitable	ADJ
ap-2230	263	11	,	,	PUNCT
ap-2230	263	12	but	but	CCONJ
ap-2230	263	13	performs	perform	VERB
ap-2230	263	14	well	well	ADV
ap-2230	263	15	against	against	ADP
ap-2230	263	16	the	the	DET
ap-2230	263	17	other	other	ADJ
ap-2230	263	18	opponents	opponent	NOUN
ap-2230	263	19	in	in	ADP
ap-2230	263	20	the	the	DET
ap-2230	263	21	tournament	tournament	NOUN
ap-2230	263	22	.	.	PUNCT
ap-2230	264	1	the	the	DET
ap-2230	264	2	game	game	NOUN
ap-2230	264	3	playing	play	VERB
ap-2230	264	4	performance	performance	NOUN
ap-2230	264	5	of	of	ADP
ap-2230	264	6	the	the	DET
ap-2230	264	7	algorithms	algorithm	NOUN
ap-2230	264	8	in	in	ADP
ap-2230	264	9	the	the	DET
ap-2230	264	10	large	large	ADJ
ap-2230	264	11	game	game	NOUN
ap-2230	264	12	of	of	ADP
ap-2230	264	13	imperfect	imperfect	ADJ
ap-2230	264	14	information	information	NOUN
ap-2230	264	15	goofspiel	goofspiel	NOUN
ap-2230	264	16	with	with	ADP
ap-2230	264	17	13	13	NUM
ap-2230	264	18	cards	card	NOUN
ap-2230	264	19	in	in	ADP
ap-2230	264	20	each	each	DET
ap-2230	264	21	deck	deck	NOUN
ap-2230	264	22	and	and	CCONJ
ap-2230	264	23	one	one	NUM
ap-2230	264	24	second	second	NOUN
ap-2230	264	25	of	of	ADP
ap-2230	264	26	computation	computation	NOUN
ap-2230	264	27	per	per	ADP
ap-2230	264	28	move	move	NOUN
ap-2230	264	29	is	be	AUX
ap-2230	264	30	presented	present	VERB
ap-2230	264	31	in	in	ADP
ap-2230	264	32	table	table	NOUN
ap-2230	264	33	2	2	NUM
ap-2230	264	34	.	.	PUNCT
ap-2230	265	1	in	in	ADP
ap-2230	265	2	the	the	DET
ap-2230	265	3	large	large	ADJ
ap-2230	265	4	game	game	NOUN
ap-2230	265	5	,	,	PUNCT
ap-2230	265	6	the	the	DET
ap-2230	265	7	performance	performance	NOUN
ap-2230	265	8	of	of	ADP
ap-2230	265	9	the	the	DET
ap-2230	265	10	is	is	NOUN
ap-2230	265	11	-	-	PUNCT
ap-2230	265	12	mcts	mct	NOUN
ap-2230	265	13	variants	variant	NOUN
ap-2230	265	14	is	be	AUX
ap-2230	265	15	similar	similar	ADJ
ap-2230	265	16	to	to	ADP
ap-2230	265	17	the	the	DET
ap-2230	265	18	performance	performance	NOUN
ap-2230	265	19	on	on	ADP
ap-2230	265	20	the	the	DET
ap-2230	265	21	smaller	small	ADJ
ap-2230	265	22	version	version	NOUN
ap-2230	265	23	.	.	PUNCT
ap-2230	266	1	exp3	exp3	PROPN
ap-2230	266	2	wins	win	VERB
ap-2230	266	3	significantly	significantly	ADV
ap-2230	266	4	the	the	DET
ap-2230	266	5	most	most	ADJ
ap-2230	266	6	against	against	ADP
ap-2230	266	7	uct	uct	PROPN
ap-2230	266	8	,	,	PUNCT
ap-2230	266	9	but	but	CCONJ
ap-2230	266	10	rm	rm	NOUN
ap-2230	266	11	loses	lose	VERB
ap-2230	266	12	less	less	ADJ
ap-2230	266	13	against	against	ADP
ap-2230	266	14	uct	uct	PROPN
ap-2230	266	15	and	and	CCONJ
ap-2230	266	16	itself	itself	PRON
ap-2230	266	17	from	from	ADP
ap-2230	266	18	the	the	DET
ap-2230	266	19	second	second	ADJ
ap-2230	266	20	position	position	NOUN
ap-2230	266	21	.	.	PUNCT
ap-2230	267	1	this	this	PRON
ap-2230	267	2	makes	make	VERB
ap-2230	267	3	it	it	PRON
ap-2230	267	4	hard	hard	ADJ
ap-2230	267	5	to	to	PART
ap-2230	267	6	select	select	VERB
ap-2230	267	7	the	the	DET
ap-2230	267	8	better	well	ADJ
ap-2230	267	9	selection	selection	NOUN
ap-2230	267	10	function	function	NOUN
ap-2230	267	11	between	between	ADP
ap-2230	267	12	exp3	exp3	PROPN
ap-2230	267	13	and	and	CCONJ
ap-2230	267	14	rm	rm	NOUN
ap-2230	267	15	,	,	PUNCT
ap-2230	267	16	but	but	CCONJ
ap-2230	267	17	both	both	PRON
ap-2230	267	18	of	of	ADP
ap-2230	267	19	them	they	PRON
ap-2230	267	20	are	be	AUX
ap-2230	267	21	clearly	clearly	ADV
ap-2230	267	22	better	well	ADJ
ap-2230	267	23	than	than	ADP
ap-2230	267	24	uct	uct	VERB
ap-2230	267	25	in	in	ADP
ap-2230	267	26	this	this	DET
ap-2230	267	27	game	game	NOUN
ap-2230	267	28	.	.	PUNCT
ap-2230	268	1	since	since	SCONJ
ap-2230	268	2	all	all	DET
ap-2230	268	3	the	the	DET
ap-2230	268	4	algorithms	algorithm	NOUN
ap-2230	268	5	seem	seem	VERB
ap-2230	268	6	to	to	PART
ap-2230	268	7	perform	perform	VERB
ap-2230	268	8	very	very	ADV
ap-2230	268	9	well	well	ADV
ap-2230	268	10	even	even	ADV
ap-2230	268	11	in	in	ADP
ap-2230	268	12	the	the	DET
ap-2230	268	13	complete	complete	ADJ
ap-2230	268	14	game	game	NOUN
ap-2230	268	15	of	of	ADP
ap-2230	268	16	phantom	phantom	ADJ
ap-2230	268	17	tic	tic	ADJ
ap-2230	268	18	-	-	PUNCT
ap-2230	268	19	tac	tac	NOUN
ap-2230	268	20	-	-	PUNCT
ap-2230	268	21	toe	toe	NOUN
ap-2230	268	22	,	,	PUNCT
ap-2230	268	23	we	we	PRON
ap-2230	268	24	do	do	AUX
ap-2230	268	25	not	not	PART
ap-2230	268	26	present	present	VERB
ap-2230	268	27	the	the	DET
ap-2230	268	28	evaluation	evaluation	NOUN
ap-2230	268	29	on	on	ADP
ap-2230	268	30	the	the	DET
ap-2230	268	31	smaller	small	ADJ
ap-2230	268	32	game	game	NOUN
ap-2230	268	33	with	with	ADP
ap-2230	268	34	the	the	DET
ap-2230	268	35	enforced	enforce	VERB
ap-2230	268	36	first	first	ADJ
ap-2230	268	37	move	move	NOUN
ap-2230	268	38	here	here	ADV
ap-2230	268	39	.	.	PUNCT
ap-2230	269	1	we	we	PRON
ap-2230	269	2	assume	assume	VERB
ap-2230	269	3	that	that	SCONJ
ap-2230	269	4	the	the	DET
ap-2230	269	5	differences	difference	NOUN
ap-2230	269	6	between	between	ADP
ap-2230	269	7	the	the	DET
ap-2230	269	8	algorithms	algorithm	NOUN
ap-2230	269	9	would	would	AUX
ap-2230	269	10	be	be	AUX
ap-2230	269	11	even	even	ADV
ap-2230	269	12	smaller	small	ADJ
ap-2230	269	13	there	there	ADV
ap-2230	269	14	.	.	PUNCT
ap-2230	270	1	the	the	DET
ap-2230	270	2	results	result	NOUN
ap-2230	270	3	in	in	ADP
ap-2230	270	4	table	table	NOUN
ap-2230	270	5	3	3	NUM
ap-2230	270	6	show	show	VERB
ap-2230	270	7	an	an	DET
ap-2230	270	8	even	even	ADV
ap-2230	270	9	larger	large	ADJ
ap-2230	270	10	imbalance	imbalance	NOUN
ap-2230	270	11	between	between	ADP
ap-2230	270	12	the	the	DET
ap-2230	270	13	results	result	NOUN
ap-2230	270	14	achieved	achieve	VERB
ap-2230	270	15	from	from	ADP
ap-2230	270	16	the	the	DET
ap-2230	270	17	first	first	ADJ
ap-2230	270	18	and	and	CCONJ
ap-2230	270	19	the	the	DET
ap-2230	270	20	second	second	ADJ
ap-2230	270	21	position	position	NOUN
ap-2230	270	22	in	in	ADP
ap-2230	270	23	the	the	DET
ap-2230	270	24	game	game	NOUN
ap-2230	270	25	.	.	PUNCT
ap-2230	271	1	this	this	DET
ap-2230	271	2	time	time	NOUN
ap-2230	271	3	,	,	PUNCT
ap-2230	271	4	it	it	PRON
ap-2230	271	5	is	be	AUX
ap-2230	271	6	not	not	PART
ap-2230	271	7	caused	cause	VERB
ap-2230	271	8	only	only	ADV
ap-2230	271	9	by	by	ADP
ap-2230	271	10	the	the	DET
ap-2230	271	11	disadvantage	disadvantage	NOUN
ap-2230	271	12	of	of	ADP
ap-2230	271	13	larger	large	ADJ
ap-2230	271	14	information	information	NOUN
ap-2230	271	15	sets	set	NOUN
ap-2230	271	16	,	,	PUNCT
ap-2230	271	17	but	but	CCONJ
ap-2230	271	18	also	also	ADV
ap-2230	271	19	by	by	ADP
ap-2230	271	20	the	the	DET
ap-2230	271	21	fact	fact	NOUN
ap-2230	271	22	that	that	SCONJ
ap-2230	271	23	the	the	DET
ap-2230	271	24	game	game	NOUN
ap-2230	271	25	is	be	AUX
ap-2230	271	26	not	not	PART
ap-2230	271	27	balanced	balance	VERB
ap-2230	271	28	on	on	ADP
ap-2230	271	29	its	its	PRON
ap-2230	271	30	own	own	ADJ
ap-2230	271	31	.	.	PUNCT
ap-2230	272	1	when	when	SCONJ
ap-2230	272	2	both	both	DET
ap-2230	272	3	players	player	NOUN
ap-2230	272	4	play	play	VERB
ap-2230	272	5	the	the	DET
ap-2230	272	6	optimal	optimal	ADJ
ap-2230	272	7	strategy	strategy	NOUN
ap-2230	272	8	,	,	PUNCT
ap-2230	272	9	the	the	DET
ap-2230	272	10	player	player	NOUN
ap-2230	272	11	who	who	PRON
ap-2230	272	12	moves	move	VERB
ap-2230	272	13	first	first	ADV
ap-2230	272	14	wins	win	VERB
ap-2230	272	15	83	83	NUM
ap-2230	272	16	%	%	NOUN
ap-2230	272	17	of	of	ADP
ap-2230	272	18	the	the	DET
ap-2230	272	19	games	game	NOUN
ap-2230	272	20	.	.	PUNCT
ap-2230	273	1	we	we	PRON
ap-2230	273	2	computed	compute	VERB
ap-2230	273	3	this	this	DET
ap-2230	273	4	values	value	NOUN
ap-2230	273	5	by	by	ADP
ap-2230	273	6	the	the	DET
ap-2230	273	7	double	double	ADJ
ap-2230	273	8	-	-	PUNCT
ap-2230	273	9	oracle	oracle	NOUN
ap-2230	273	10	algorithm	algorithm	NOUN
ap-2230	273	11	[	[	X
ap-2230	273	12	14	14	NUM
ap-2230	273	13	]	]	PUNCT
ap-2230	273	14	implemented	implement	VERB
ap-2230	273	15	in	in	ADP
ap-2230	273	16	our	our	PRON
ap-2230	273	17	framework	framework	NOUN
ap-2230	273	18	.	.	PUNCT
ap-2230	274	1	with	with	ADP
ap-2230	274	2	0.1	0.1	NUM
ap-2230	274	3	second	second	ADJ
ap-2230	274	4	per	per	ADP
ap-2230	274	5	move	move	NOUN
ap-2230	274	6	(	(	PUNCT
ap-2230	274	7	top	top	NOUN
ap-2230	274	8	)	)	PUNCT
ap-2230	274	9	,	,	PUNCT
ap-2230	274	10	the	the	DET
ap-2230	274	11	performance	performance	NOUN
ap-2230	274	12	of	of	ADP
ap-2230	274	13	rm	rm	PROPN
ap-2230	274	14	and	and	CCONJ
ap-2230	274	15	exp3	exp3	NOUN
ap-2230	274	16	is	be	AUX
ap-2230	274	17	practically	practically	ADV
ap-2230	274	18	identical	identical	ADJ
ap-2230	274	19	from	from	ADP
ap-2230	274	20	the	the	DET
ap-2230	274	21	first	first	ADJ
ap-2230	274	22	position	position	NOUN
ap-2230	274	23	,	,	PUNCT
ap-2230	274	24	but	but	CCONJ
ap-2230	274	25	rm	rm	NOUN
ap-2230	274	26	loses	lose	VERB
ap-2230	274	27	less	less	ADJ
ap-2230	274	28	on	on	ADP
ap-2230	274	29	the	the	DET
ap-2230	274	30	second	second	ADJ
ap-2230	274	31	position	position	NOUN
ap-2230	274	32	,	,	PUNCT
ap-2230	274	33	which	which	PRON
ap-2230	274	34	is	be	AUX
ap-2230	274	35	consistent	consistent	ADJ
ap-2230	274	36	with	with	ADP
ap-2230	274	37	its	its	PRON
ap-2230	274	38	generally	generally	ADV
ap-2230	274	39	lower	low	ADJ
ap-2230	274	40	exploitability	exploitability	NOUN
ap-2230	274	41	over	over	ADP
ap-2230	274	42	the	the	DET
ap-2230	274	43	experiments	experiment	NOUN
ap-2230	274	44	.	.	PUNCT
ap-2230	275	1	uct	uct	PROPN
ap-2230	275	2	generally	generally	ADV
ap-2230	275	3	performs	perform	VERB
ap-2230	275	4	the	the	DET
ap-2230	275	5	worst	bad	ADJ
ap-2230	275	6	.	.	PUNCT
ap-2230	276	1	with	with	ADP
ap-2230	276	2	1	1	NUM
ap-2230	276	3	second	second	NOUN
ap-2230	276	4	per	per	ADP
ap-2230	276	5	move	move	NOUN
ap-2230	276	6	,	,	PUNCT
ap-2230	276	7	the	the	DET
ap-2230	276	8	performance	performance	NOUN
ap-2230	276	9	of	of	ADP
ap-2230	276	10	all	all	DET
ap-2230	276	11	algorithms	algorithm	NOUN
ap-2230	276	12	is	be	AUX
ap-2230	276	13	more	more	ADV
ap-2230	276	14	similar	similar	ADJ
ap-2230	276	15	to	to	ADP
ap-2230	276	16	each	each	DET
ap-2230	276	17	other	other	ADJ
ap-2230	276	18	.	.	PUNCT
ap-2230	277	1	rm	rm	PROPN
ap-2230	277	2	still	still	ADV
ap-2230	277	3	wins	win	VERB
ap-2230	277	4	most	most	ADV
ap-2230	277	5	often	often	ADV
ap-2230	277	6	and	and	CCONJ
ap-2230	277	7	loses	lose	VERB
ap-2230	277	8	least	least	ADV
ap-2230	277	9	often	often	ADV
ap-2230	277	10	against	against	ADP
ap-2230	277	11	uct	uct	PROPN
ap-2230	277	12	,	,	PUNCT
ap-2230	277	13	but	but	CCONJ
ap-2230	277	14	the	the	DET
ap-2230	277	15	mutual	mutual	ADJ
ap-2230	277	16	matches	match	NOUN
ap-2230	277	17	with	with	ADP
ap-2230	277	18	exp3	exp3	NOUN
ap-2230	277	19	are	be	AUX
ap-2230	277	20	more	more	ADV
ap-2230	277	21	balanced	balanced	ADJ
ap-2230	277	22	.	.	PUNCT
ap-2230	278	1	either	either	PRON
ap-2230	278	2	of	of	ADP
ap-2230	278	3	the	the	DET
ap-2230	278	4	algorithms	algorithms	NOUN
ap-2230	278	5	wins	win	VERB
ap-2230	278	6	87	87	NUM
ap-2230	278	7	%	%	NOUN
ap-2230	278	8	of	of	ADP
ap-2230	278	9	matches	match	NOUN
ap-2230	278	10	from	from	ADP
ap-2230	278	11	the	the	DET
ap-2230	278	12	first	first	ADJ
ap-2230	278	13	position	position	NOUN
ap-2230	278	14	against	against	ADP
ap-2230	278	15	each	each	DET
ap-2230	278	16	other	other	ADJ
ap-2230	278	17	.	.	PUNCT
ap-2230	279	1	however	however	ADV
ap-2230	279	2	,	,	PUNCT
ap-2230	279	3	when	when	SCONJ
ap-2230	279	4	the	the	DET
ap-2230	279	5	algorithms	algorithm	NOUN
ap-2230	279	6	play	play	VERB
ap-2230	279	7	against	against	ADP
ap-2230	279	8	themselves	themselves	PRON
ap-2230	279	9	,	,	PUNCT
ap-2230	279	10	rm	rm	PROPN
ap-2230	279	11	loses	lose	VERB
ap-2230	279	12	less	less	ADJ
ap-2230	279	13	from	from	ADP
ap-2230	279	14	the	the	DET
ap-2230	279	15	second	second	ADJ
ap-2230	279	16	position	position	NOUN
ap-2230	279	17	,	,	PUNCT
ap-2230	279	18	which	which	PRON
ap-2230	279	19	makes	make	VERB
ap-2230	279	20	it	it	PRON
ap-2230	279	21	the	the	DET
ap-2230	279	22	more	more	ADV
ap-2230	279	23	suitable	suitable	ADJ
ap-2230	279	24	algorithm	algorithm	NOUN
ap-2230	279	25	for	for	ADP
ap-2230	279	26	this	this	DET
ap-2230	279	27	setting	setting	NOUN
ap-2230	279	28	.	.	PUNCT
ap-2230	280	1	5	5	X
ap-2230	280	2	.	.	X
ap-2230	280	3	conclusions	conclusion	NOUN
ap-2230	280	4	we	we	PRON
ap-2230	280	5	have	have	AUX
ap-2230	280	6	studied	study	VERB
ap-2230	280	7	the	the	DET
ap-2230	280	8	influence	influence	NOUN
ap-2230	280	9	of	of	ADP
ap-2230	280	10	selection	selection	NOUN
ap-2230	280	11	functions	function	NOUN
ap-2230	280	12	on	on	ADP
ap-2230	280	13	the	the	DET
ap-2230	280	14	performance	performance	NOUN
ap-2230	280	15	of	of	ADP
ap-2230	280	16	monte	monte	PROPN
ap-2230	280	17	carlo	carlo	PROPN
ap-2230	280	18	tree	tree	NOUN
ap-2230	280	19	search	search	NOUN
ap-2230	280	20	in	in	ADP
ap-2230	280	21	imperfect	imperfect	ADJ
ap-2230	280	22	information	information	NOUN
ap-2230	280	23	games	game	NOUN
ap-2230	280	24	.	.	PUNCT
ap-2230	281	1	we	we	PRON
ap-2230	281	2	have	have	AUX
ap-2230	281	3	evaluated	evaluate	VERB
ap-2230	281	4	the	the	DET
ap-2230	281	5	most	most	ADV
ap-2230	281	6	standard	standard	ADJ
ap-2230	281	7	uct	uct	PROPN
ap-2230	281	8	selection	selection	NOUN
ap-2230	281	9	along	along	ADP
ap-2230	281	10	with	with	ADP
ap-2230	281	11	the	the	DET
ap-2230	281	12	less	less	ADV
ap-2230	281	13	common	common	ADJ
ap-2230	281	14	exp3	exp3	NOUN
ap-2230	281	15	and	and	CCONJ
ap-2230	281	16	novel	novel	ADJ
ap-2230	281	17	regret	regret	NOUN
ap-2230	281	18	matching	matching	NOUN
ap-2230	281	19	selection	selection	NOUN
ap-2230	281	20	in	in	ADP
ap-2230	281	21	a	a	DET
ap-2230	281	22	unified	unified	ADJ
ap-2230	281	23	framework	framework	NOUN
ap-2230	281	24	on	on	ADP
ap-2230	281	25	two	two	NUM
ap-2230	281	26	different	different	ADJ
ap-2230	281	27	games	game	NOUN
ap-2230	281	28	.	.	PUNCT
ap-2230	282	1	to	to	ADP
ap-2230	282	2	the	the	DET
ap-2230	282	3	best	good	ADJ
ap-2230	282	4	of	of	ADP
ap-2230	282	5	our	our	PRON
ap-2230	282	6	knowledge	knowledge	NOUN
ap-2230	282	7	,	,	PUNCT
ap-2230	282	8	this	this	PRON
ap-2230	282	9	is	be	AUX
ap-2230	282	10	the	the	DET
ap-2230	282	11	first	first	ADJ
ap-2230	282	12	direct	direct	ADJ
ap-2230	282	13	comparison	comparison	NOUN
ap-2230	282	14	of	of	ADP
ap-2230	282	15	the	the	DET
ap-2230	282	16	effect	effect	NOUN
ap-2230	282	17	of	of	ADP
ap-2230	282	18	selection	selection	NOUN
ap-2230	282	19	functions	function	NOUN
ap-2230	282	20	on	on	ADP
ap-2230	282	21	the	the	DET
ap-2230	282	22	performance	performance	NOUN
ap-2230	282	23	of	of	ADP
ap-2230	282	24	mcts	mct	NOUN
ap-2230	282	25	in	in	ADP
ap-2230	282	26	imperfect	imperfect	ADJ
ap-2230	282	27	information	information	NOUN
ap-2230	282	28	games	game	NOUN
ap-2230	282	29	.	.	PUNCT
ap-2230	283	1	we	we	PRON
ap-2230	283	2	show	show	VERB
ap-2230	283	3	that	that	SCONJ
ap-2230	283	4	none	none	NOUN
ap-2230	283	5	of	of	ADP
ap-2230	283	6	the	the	DET
ap-2230	283	7	proposed	propose	VERB
ap-2230	283	8	selection	selection	NOUN
ap-2230	283	9	functions	function	NOUN
ap-2230	283	10	allows	allow	VERB
ap-2230	283	11	the	the	DET
ap-2230	283	12	algorithm	algorithm	NOUN
ap-2230	283	13	to	to	PART
ap-2230	283	14	converge	converge	VERB
ap-2230	283	15	very	very	ADV
ap-2230	283	16	close	close	ADV
ap-2230	283	17	to	to	ADP
ap-2230	283	18	the	the	DET
ap-2230	283	19	nash	nash	NOUN
ap-2230	283	20	equilibrium	equilibrium	NOUN
ap-2230	283	21	,	,	PUNCT
ap-2230	283	22	and	and	CCONJ
ap-2230	283	23	even	even	ADV
ap-2230	283	24	after	after	ADP
ap-2230	283	25	30	30	NUM
ap-2230	283	26	minutes	minute	NOUN
ap-2230	283	27	of	of	ADP
ap-2230	283	28	computation	computation	NOUN
ap-2230	283	29	(	(	PUNCT
ap-2230	283	30	approximately	approximately	ADV
ap-2230	283	31	108	108	NUM
ap-2230	283	32	iterations	iteration	NOUN
ap-2230	283	33	)	)	PUNCT
ap-2230	283	34	,	,	PUNCT
ap-2230	283	35	the	the	DET
ap-2230	283	36	distance	distance	NOUN
ap-2230	283	37	from	from	ADP
ap-2230	283	38	an	an	DET
ap-2230	283	39	equilibrium	equilibrium	NOUN
ap-2230	283	40	was	be	AUX
ap-2230	283	41	still	still	ADV
ap-2230	283	42	larger	large	ADJ
ap-2230	283	43	than	than	ADP
ap-2230	283	44	0.1	0.1	NUM
ap-2230	283	45	.	.	PUNCT
ap-2230	284	1	consistently	consistently	ADV
ap-2230	284	2	in	in	ADP
ap-2230	284	3	both	both	DET
ap-2230	284	4	evaluation	evaluation	NOUN
ap-2230	284	5	domains	domain	NOUN
ap-2230	284	6	,	,	PUNCT
ap-2230	284	7	the	the	DET
ap-2230	284	8	quality	quality	NOUN
ap-2230	284	9	of	of	ADP
ap-2230	284	10	the	the	DET
ap-2230	284	11	strategy	strategy	NOUN
ap-2230	284	12	produced	produce	VERB
ap-2230	284	13	with	with	ADP
ap-2230	284	14	uct	uct	PROPN
ap-2230	284	15	first	first	ADV
ap-2230	284	16	decreased	decrease	VERB
ap-2230	284	17	and	and	CCONJ
ap-2230	284	18	then	then	ADV
ap-2230	284	19	started	start	VERB
ap-2230	284	20	to	to	PART
ap-2230	284	21	increase	increase	VERB
ap-2230	284	22	again	again	ADV
ap-2230	284	23	,	,	PUNCT
ap-2230	284	24	showing	show	VERB
ap-2230	284	25	that	that	SCONJ
ap-2230	284	26	ismcts	ismct	NOUN
ap-2230	284	27	with	with	ADP
ap-2230	284	28	uct	uct	PROPN
ap-2230	284	29	does	do	AUX
ap-2230	284	30	not	not	PART
ap-2230	284	31	have	have	VERB
ap-2230	284	32	the	the	DET
ap-2230	284	33	desirable	desirable	ADJ
ap-2230	284	34	anytime	anytime	NOUN
ap-2230	284	35	property	property	NOUN
ap-2230	284	36	that	that	PRON
ap-2230	284	37	more	more	ADJ
ap-2230	284	38	computation	computation	NOUN
ap-2230	284	39	time	time	NOUN
ap-2230	284	40	yields	yield	VERB
ap-2230	284	41	better	well	ADJ
ap-2230	284	42	results	result	NOUN
ap-2230	284	43	.	.	PUNCT
ap-2230	285	1	this	this	PRON
ap-2230	285	2	is	be	AUX
ap-2230	285	3	also	also	ADV
ap-2230	285	4	the	the	DET
ap-2230	285	5	case	case	NOUN
ap-2230	285	6	with	with	ADP
ap-2230	285	7	exp3	exp3	NOUN
ap-2230	285	8	at	at	ADP
ap-2230	285	9	the	the	DET
ap-2230	285	10	very	very	ADV
ap-2230	285	11	339	339	NUM
ap-2230	285	12	viliam	viliam	NOUN
ap-2230	285	13	lisý	lisý	PROPN
ap-2230	285	14	acta	acta	PROPN
ap-2230	285	15	polytechnica	polytechnica	PROPN
ap-2230	285	16	beginning	beginning	NOUN
ap-2230	285	17	,	,	PUNCT
ap-2230	285	18	but	but	CCONJ
ap-2230	285	19	the	the	DET
ap-2230	285	20	novel	novel	NOUN
ap-2230	285	21	rm	rm	NOUN
ap-2230	285	22	selection	selection	NOUN
ap-2230	285	23	monotonously	monotonously	ADV
ap-2230	285	24	converges	converge	VERB
ap-2230	285	25	towards	towards	ADP
ap-2230	285	26	an	an	DET
ap-2230	285	27	equilibrium	equilibrium	NOUN
ap-2230	285	28	in	in	ADP
ap-2230	285	29	our	our	PRON
ap-2230	285	30	experiments	experiment	NOUN
ap-2230	285	31	.	.	PUNCT
ap-2230	286	1	the	the	DET
ap-2230	286	2	superior	superior	ADJ
ap-2230	286	3	performance	performance	NOUN
ap-2230	286	4	of	of	ADP
ap-2230	286	5	rm	rm	NOUN
ap-2230	286	6	selection	selection	NOUN
ap-2230	286	7	was	be	AUX
ap-2230	286	8	also	also	ADV
ap-2230	286	9	confirmed	confirm	VERB
ap-2230	286	10	in	in	ADP
ap-2230	286	11	head	head	NOUN
ap-2230	286	12	-	-	PUNCT
ap-2230	286	13	to	to	ADP
ap-2230	286	14	-	-	PUNCT
ap-2230	286	15	head	head	NOUN
ap-2230	286	16	matches	match	NOUN
ap-2230	286	17	among	among	ADP
ap-2230	286	18	the	the	DET
ap-2230	286	19	algorithms	algorithm	NOUN
ap-2230	286	20	.	.	PUNCT
ap-2230	287	1	in	in	ADP
ap-2230	287	2	both	both	DET
ap-2230	287	3	domains	domain	NOUN
ap-2230	287	4	used	use	VERB
ap-2230	287	5	for	for	ADP
ap-2230	287	6	evaluation	evaluation	NOUN
ap-2230	287	7	,	,	PUNCT
ap-2230	287	8	uct	uct	PROPN
ap-2230	287	9	performed	perform	VERB
ap-2230	287	10	the	the	DET
ap-2230	287	11	worst	bad	ADJ
ap-2230	287	12	from	from	ADP
ap-2230	287	13	the	the	DET
ap-2230	287	14	evaluated	evaluated	ADJ
ap-2230	287	15	selection	selection	NOUN
ap-2230	287	16	functions	function	NOUN
ap-2230	287	17	.	.	PUNCT
ap-2230	288	1	rm	rm	PROPN
ap-2230	288	2	was	be	AUX
ap-2230	288	3	always	always	ADV
ap-2230	288	4	among	among	ADP
ap-2230	288	5	the	the	DET
ap-2230	288	6	best	good	ADJ
ap-2230	288	7	,	,	PUNCT
ap-2230	288	8	but	but	CCONJ
ap-2230	288	9	in	in	ADP
ap-2230	288	10	some	some	DET
ap-2230	288	11	cases	case	NOUN
ap-2230	288	12	was	be	AUX
ap-2230	288	13	slightly	slightly	ADV
ap-2230	288	14	outperformed	outperform	VERB
ap-2230	288	15	by	by	ADP
ap-2230	288	16	exp3	exp3	PROPN
ap-2230	288	17	.	.	PUNCT
ap-2230	289	1	the	the	DET
ap-2230	289	2	good	good	ADJ
ap-2230	289	3	performance	performance	NOUN
ap-2230	289	4	of	of	ADP
ap-2230	289	5	exp3	exp3	NOUN
ap-2230	289	6	in	in	ADP
ap-2230	289	7	the	the	DET
ap-2230	289	8	matches	match	NOUN
ap-2230	289	9	was	be	AUX
ap-2230	289	10	not	not	PART
ap-2230	289	11	supported	support	VERB
ap-2230	289	12	by	by	ADP
ap-2230	289	13	low	low	ADJ
ap-2230	289	14	exploitability	exploitability	NOUN
ap-2230	289	15	in	in	ADP
ap-2230	289	16	the	the	DET
ap-2230	289	17	convergence	convergence	NOUN
ap-2230	289	18	experiments	experiment	NOUN
ap-2230	289	19	,	,	PUNCT
ap-2230	289	20	which	which	PRON
ap-2230	289	21	indicates	indicate	VERB
ap-2230	289	22	that	that	SCONJ
ap-2230	289	23	even	even	ADV
ap-2230	289	24	though	though	SCONJ
ap-2230	289	25	the	the	DET
ap-2230	289	26	algorithm	algorithm	NOUN
ap-2230	289	27	performed	perform	VERB
ap-2230	289	28	well	well	ADV
ap-2230	289	29	against	against	ADP
ap-2230	289	30	the	the	DET
ap-2230	289	31	tested	test	VERB
ap-2230	289	32	opponents	opponent	NOUN
ap-2230	289	33	,	,	PUNCT
ap-2230	289	34	there	there	PRON
ap-2230	289	35	are	be	VERB
ap-2230	289	36	other	other	ADJ
ap-2230	289	37	opponents	opponent	NOUN
ap-2230	289	38	that	that	PRON
ap-2230	289	39	are	be	AUX
ap-2230	289	40	likely	likely	ADJ
ap-2230	289	41	to	to	PART
ap-2230	289	42	perform	perform	VERB
ap-2230	289	43	much	much	ADV
ap-2230	289	44	better	well	ADJ
ap-2230	289	45	against	against	ADP
ap-2230	289	46	this	this	DET
ap-2230	289	47	algorithm	algorithm	NOUN
ap-2230	289	48	,	,	PUNCT
ap-2230	289	49	but	but	CCONJ
ap-2230	289	50	not	not	PART
ap-2230	289	51	against	against	ADP
ap-2230	289	52	rm	rm	PROPN
ap-2230	289	53	.	.	PUNCT
ap-2230	290	1	acknowledgements	acknowledgement	NOUN
ap-2230	290	2	this	this	DET
ap-2230	290	3	work	work	NOUN
ap-2230	290	4	was	be	AUX
ap-2230	290	5	supported	support	VERB
ap-2230	290	6	by	by	ADP
ap-2230	290	7	the	the	DET
ap-2230	290	8	czech	czech	PROPN
ap-2230	290	9	science	science	NOUN
ap-2230	290	10	foundation	foundation	PROPN
ap-2230	290	11	(	(	PUNCT
ap-2230	290	12	grant	grant	NOUN
ap-2230	290	13	p202/12/2054	p202/12/2054	PROPN
ap-2230	290	14	)	)	PUNCT
ap-2230	290	15	.	.	PUNCT
ap-2230	291	1	access	access	NOUN
ap-2230	291	2	to	to	ADP
ap-2230	291	3	the	the	DET
ap-2230	291	4	computing	computing	NOUN
ap-2230	291	5	and	and	CCONJ
ap-2230	291	6	storage	storage	NOUN
ap-2230	291	7	facilities	facility	NOUN
ap-2230	291	8	owned	own	VERB
ap-2230	291	9	by	by	ADP
ap-2230	291	10	parties	party	NOUN
ap-2230	291	11	and	and	CCONJ
ap-2230	291	12	projects	project	NOUN
ap-2230	291	13	contributing	contribute	VERB
ap-2230	291	14	to	to	ADP
ap-2230	291	15	the	the	DET
ap-2230	291	16	national	national	ADJ
ap-2230	291	17	grid	grid	PROPN
ap-2230	291	18	infrastructure	infrastructure	NOUN
ap-2230	291	19	metacentrum	metacentrum	PROPN
ap-2230	291	20	,	,	PUNCT
ap-2230	291	21	provided	provide	VERB
ap-2230	291	22	under	under	ADP
ap-2230	291	23	the	the	DET
ap-2230	291	24	“	"	PUNCT
ap-2230	291	25	projects	project	NOUN
ap-2230	291	26	of	of	ADP
ap-2230	291	27	large	large	ADJ
ap-2230	291	28	infrastructure	infrastructure	NOUN
ap-2230	291	29	for	for	ADP
ap-2230	291	30	research	research	NOUN
ap-2230	291	31	,	,	PUNCT
ap-2230	291	32	development	development	NOUN
ap-2230	291	33	,	,	PUNCT
ap-2230	291	34	and	and	CCONJ
ap-2230	291	35	innovations	innovation	NOUN
ap-2230	291	36	”	"	PUNCT
ap-2230	291	37	programme	programme	NOUN
ap-2230	291	38	(	(	PUNCT
ap-2230	291	39	lm2010005	lm2010005	PROPN
ap-2230	291	40	)	)	PUNCT
ap-2230	291	41	is	be	AUX
ap-2230	291	42	highly	highly	ADV
ap-2230	291	43	appreciated	appreciated	ADJ
ap-2230	291	44	.	.	PUNCT
ap-2230	292	1	references	reference	NOUN
ap-2230	292	2	[	[	X
ap-2230	292	3	1	1	NUM
ap-2230	292	4	]	]	PUNCT
ap-2230	292	5	s.	s.	PROPN
ap-2230	292	6	gelly	gelly	PROPN
ap-2230	292	7	,	,	PUNCT
ap-2230	292	8	d.	d.	PROPN
ap-2230	292	9	silver	silver	PROPN
ap-2230	292	10	.	.	PUNCT
ap-2230	293	1	monte	monte	PROPN
ap-2230	293	2	-	-	PUNCT
ap-2230	293	3	carlo	carlo	PROPN
ap-2230	293	4	tree	tree	NOUN
ap-2230	293	5	search	search	NOUN
ap-2230	293	6	and	and	CCONJ
ap-2230	293	7	rapid	rapid	ADJ
ap-2230	293	8	action	action	NOUN
ap-2230	293	9	value	value	NOUN
ap-2230	293	10	estimation	estimation	NOUN
ap-2230	293	11	in	in	ADP
ap-2230	293	12	computer	computer	NOUN
ap-2230	293	13	go	go	VERB
ap-2230	293	14	.	.	PUNCT
ap-2230	294	1	artificial	artificial	ADJ
ap-2230	294	2	intelligence	intelligence	NOUN
ap-2230	294	3	175(11):1856–1875	175(11):1856–1875	NUM
ap-2230	294	4	,	,	PUNCT
ap-2230	294	5	2011	2011	NUM
ap-2230	294	6	.	.	PUNCT
ap-2230	295	1	doi:10.1016	doi:10.1016	PROPN
ap-2230	295	2	/	/	SYM
ap-2230	295	3	j.artint.2011.03.007	j.artint.2011.03.007	PROPN
ap-2230	295	4	.	.	PUNCT
ap-2230	296	1	[	[	X
ap-2230	296	2	2	2	X
ap-2230	296	3	]	]	PUNCT
ap-2230	296	4	t.	t.	PROPN
ap-2230	296	5	keller	keller	PROPN
ap-2230	296	6	,	,	PUNCT
ap-2230	296	7	p.	p.	NOUN
ap-2230	296	8	eyerich	eyerich	PROPN
ap-2230	296	9	.	.	PUNCT
ap-2230	297	1	prost	prost	PROPN
ap-2230	297	2	:	:	PUNCT
ap-2230	297	3	probabilistic	probabilistic	ADJ
ap-2230	297	4	planning	planning	NOUN
ap-2230	297	5	based	base	VERB
ap-2230	297	6	on	on	ADP
ap-2230	297	7	uct	uct	PROPN
ap-2230	297	8	.	.	PUNCT
ap-2230	298	1	in	in	ADP
ap-2230	298	2	icaps	icap	NOUN
ap-2230	298	3	.	.	PUNCT
ap-2230	298	4	2012	2012	NUM
ap-2230	298	5	.	.	PUNCT
ap-2230	299	1	[	[	X
ap-2230	299	2	3	3	X
ap-2230	299	3	]	]	X
ap-2230	299	4	p.	p.	NOUN
ap-2230	299	5	i.	i.	PROPN
ap-2230	299	6	cowling	cowling	PROPN
ap-2230	299	7	,	,	PUNCT
ap-2230	299	8	e.	e.	PROPN
ap-2230	299	9	j.	j.	PROPN
ap-2230	299	10	powley	powley	PROPN
ap-2230	299	11	,	,	PUNCT
ap-2230	299	12	d.	d.	PROPN
ap-2230	299	13	whitehouse	whitehouse	PROPN
ap-2230	299	14	.	.	PUNCT
ap-2230	300	1	information	information	NOUN
ap-2230	300	2	set	set	VERB
ap-2230	300	3	monte	monte	PROPN
ap-2230	300	4	carlo	carlo	PROPN
ap-2230	300	5	tree	tree	NOUN
ap-2230	300	6	search	search	NOUN
ap-2230	300	7	.	.	PUNCT
ap-2230	301	1	computational	computational	ADJ
ap-2230	301	2	intelligence	intelligence	NOUN
ap-2230	301	3	and	and	CCONJ
ap-2230	301	4	ai	ai	VERB
ap-2230	301	5	in	in	ADP
ap-2230	301	6	games	game	NOUN
ap-2230	301	7	,	,	PUNCT
ap-2230	301	8	ieee	ieee	NOUN
ap-2230	301	9	transactions	transaction	NOUN
ap-2230	301	10	on	on	ADP
ap-2230	301	11	4(2):120–143	4(2):120–143	NOUN
ap-2230	301	12	,	,	PUNCT
ap-2230	301	13	2012	2012	NUM
ap-2230	301	14	.	.	PUNCT
ap-2230	302	1	doi:10.1109	doi:10.1109	VERB
ap-2230	302	2	/	/	SYM
ap-2230	302	3	tciaig.2012.2200894	tciaig.2012.2200894	NOUN
ap-2230	302	4	.	.	PUNCT
ap-2230	303	1	[	[	X
ap-2230	303	2	4	4	X
ap-2230	303	3	]	]	PUNCT
ap-2230	303	4	m.	m.	NOUN
ap-2230	303	5	ponsen	ponsen	PROPN
ap-2230	303	6	,	,	PUNCT
ap-2230	303	7	s.	s.	PROPN
ap-2230	303	8	de	de	PROPN
ap-2230	303	9	jong	jong	PROPN
ap-2230	303	10	,	,	PUNCT
ap-2230	303	11	m.	m.	NOUN
ap-2230	303	12	lanctot	lanctot	PROPN
ap-2230	303	13	.	.	PUNCT
ap-2230	304	1	computing	compute	VERB
ap-2230	304	2	approximate	approximate	ADJ
ap-2230	304	3	nash	nash	PROPN
ap-2230	304	4	equilibria	equilibrium	NOUN
ap-2230	304	5	and	and	CCONJ
ap-2230	304	6	robust	robust	ADJ
ap-2230	304	7	best	good	ADJ
ap-2230	304	8	-	-	PUNCT
ap-2230	304	9	responses	response	NOUN
ap-2230	304	10	using	use	VERB
ap-2230	304	11	sampling	sample	VERB
ap-2230	304	12	.	.	PUNCT
ap-2230	305	1	journal	journal	NOUN
ap-2230	305	2	of	of	ADP
ap-2230	305	3	artificial	artificial	ADJ
ap-2230	305	4	intelligence	intelligence	NOUN
ap-2230	305	5	research	research	NOUN
ap-2230	305	6	42:575–605	42:575–605	PROPN
ap-2230	305	7	,	,	PUNCT
ap-2230	305	8	2011	2011	NUM
ap-2230	305	9	.	.	PUNCT
ap-2230	306	1	doi:10.1613	doi:10.1613	PROPN
ap-2230	306	2	/	/	SYM
ap-2230	306	3	jair.3402	jair.3402	PROPN
ap-2230	306	4	.	.	PUNCT
ap-2230	307	1	[	[	X
ap-2230	307	2	5	5	NUM
ap-2230	307	3	]	]	PUNCT
ap-2230	307	4	d.	d.	PROPN
ap-2230	307	5	auger	auger	NOUN
ap-2230	307	6	.	.	PUNCT
ap-2230	308	1	multiple	multiple	ADJ
ap-2230	308	2	tree	tree	NOUN
ap-2230	308	3	for	for	ADP
ap-2230	308	4	partially	partially	ADV
ap-2230	308	5	observable	observable	ADJ
ap-2230	308	6	monte	monte	PROPN
ap-2230	308	7	-	-	PUNCT
ap-2230	308	8	carlo	carlo	PROPN
ap-2230	308	9	tree	tree	NOUN
ap-2230	308	10	search	search	NOUN
ap-2230	308	11	.	.	PUNCT
ap-2230	309	1	in	in	ADP
ap-2230	309	2	applications	application	NOUN
ap-2230	309	3	of	of	ADP
ap-2230	309	4	evolutionary	evolutionary	ADJ
ap-2230	309	5	computation	computation	NOUN
ap-2230	309	6	,	,	PUNCT
ap-2230	309	7	pp	pp	ADJ
ap-2230	309	8	.	.	PUNCT
ap-2230	310	1	53–62	53–62	NUM
ap-2230	310	2	.	.	NOUN
ap-2230	310	3	springer	springer	NOUN
ap-2230	310	4	,	,	PUNCT
ap-2230	310	5	2011	2011	NUM
ap-2230	310	6	.	.	PUNCT
ap-2230	311	1	[	[	X
ap-2230	311	2	6	6	NUM
ap-2230	311	3	]	]	PUNCT
ap-2230	311	4	l.	l.	PROPN
ap-2230	311	5	kocsis	kocsis	PROPN
ap-2230	311	6	,	,	PUNCT
ap-2230	311	7	c.	c.	PROPN
ap-2230	311	8	szepesvári	szepesvári	PROPN
ap-2230	311	9	.	.	PUNCT
ap-2230	312	1	bandit	bandit	NOUN
ap-2230	312	2	based	base	VERB
ap-2230	312	3	monte	monte	PROPN
ap-2230	312	4	-	-	PUNCT
ap-2230	312	5	carlo	carlo	PROPN
ap-2230	312	6	planning	planning	NOUN
ap-2230	312	7	.	.	PUNCT
ap-2230	313	1	in	in	ADP
ap-2230	313	2	j.	j.	PROPN
ap-2230	313	3	frnkranz	frnkranz	PROPN
ap-2230	313	4	,	,	PUNCT
ap-2230	313	5	t.	t.	NOUN
ap-2230	313	6	scheffer	scheffer	PROPN
ap-2230	313	7	,	,	PUNCT
ap-2230	313	8	m.	m.	NOUN
ap-2230	313	9	spiliopoulou	spiliopoulou	PROPN
ap-2230	313	10	(	(	PUNCT
ap-2230	313	11	eds	ed	NOUN
ap-2230	313	12	.	.	PUNCT
ap-2230	313	13	)	)	PUNCT
ap-2230	313	14	,	,	PUNCT
ap-2230	313	15	machine	machine	NOUN
ap-2230	313	16	learning	learning	NOUN
ap-2230	313	17	:	:	PUNCT
ap-2230	313	18	ecml	ecml	PROPN
ap-2230	313	19	2006	2006	NUM
ap-2230	313	20	,	,	PUNCT
ap-2230	313	21	vol	vol	NOUN
ap-2230	313	22	.	.	PUNCT
ap-2230	313	23	4212	4212	NUM
ap-2230	313	24	of	of	ADP
ap-2230	313	25	lecture	lecture	NOUN
ap-2230	313	26	notes	note	NOUN
ap-2230	313	27	in	in	ADP
ap-2230	313	28	computer	computer	NOUN
ap-2230	313	29	science	science	NOUN
ap-2230	313	30	,	,	PUNCT
ap-2230	313	31	pp	pp	ADJ
ap-2230	313	32	.	.	PUNCT
ap-2230	314	1	282–293	282–293	NUM
ap-2230	314	2	.	.	PUNCT
ap-2230	314	3	springer	springer	PROPN
ap-2230	314	4	berlin	berlin	PROPN
ap-2230	314	5	heidelberg	heidelberg	PROPN
ap-2230	314	6	,	,	PUNCT
ap-2230	314	7	2006	2006	NUM
ap-2230	314	8	.	.	PUNCT
ap-2230	315	1	doi:10.1007/11871842_29	doi:10.1007/11871842_29	NUM
ap-2230	315	2	.	.	PUNCT
ap-2230	316	1	[	[	X
ap-2230	316	2	7	7	X
ap-2230	316	3	]	]	X
ap-2230	316	4	p.	p.	NOUN
ap-2230	316	5	auer	auer	NOUN
ap-2230	316	6	,	,	PUNCT
ap-2230	316	7	n.	n.	PROPN
ap-2230	316	8	cesa	cesa	PROPN
ap-2230	316	9	-	-	PUNCT
ap-2230	316	10	bianchi	bianchi	PROPN
ap-2230	316	11	,	,	PUNCT
ap-2230	316	12	y.	y.	PROPN
ap-2230	316	13	freund	freund	PROPN
ap-2230	316	14	,	,	PUNCT
ap-2230	316	15	r.	r.	PROPN
ap-2230	316	16	e.	e.	PROPN
ap-2230	316	17	schapire	schapire	PROPN
ap-2230	316	18	.	.	PUNCT
ap-2230	317	1	the	the	DET
ap-2230	317	2	nonstochastic	nonstochastic	ADJ
ap-2230	317	3	multiarmed	multiarmed	ADJ
ap-2230	317	4	bandit	bandit	NOUN
ap-2230	317	5	problem	problem	NOUN
ap-2230	317	6	.	.	PUNCT
ap-2230	318	1	siam	siam	PROPN
ap-2230	318	2	j	j	PROPN
ap-2230	318	3	comput	comput	PROPN
ap-2230	318	4	32(1):48–77	32(1):48–77	NUM
ap-2230	318	5	,	,	PUNCT
ap-2230	318	6	2003	2003	NUM
ap-2230	318	7	.	.	PUNCT
ap-2230	319	1	doi:10.1137	doi:10.1137	NOUN
ap-2230	319	2	/	/	SYM
ap-2230	319	3	s0097539701398375	s0097539701398375	PROPN
ap-2230	319	4	.	.	PUNCT
ap-2230	320	1	[	[	X
ap-2230	320	2	8	8	NUM
ap-2230	320	3	]	]	X
ap-2230	320	4	o.	o.	NOUN
ap-2230	320	5	teytaud	teytaud	PROPN
ap-2230	320	6	,	,	PUNCT
ap-2230	320	7	s.	s.	PROPN
ap-2230	320	8	flory	flory	PROPN
ap-2230	320	9	.	.	PUNCT
ap-2230	321	1	upper	upper	ADJ
ap-2230	321	2	confidence	confidence	NOUN
ap-2230	321	3	trees	tree	NOUN
ap-2230	321	4	with	with	ADP
ap-2230	321	5	short	short	ADJ
ap-2230	321	6	term	term	NOUN
ap-2230	321	7	partial	partial	ADJ
ap-2230	321	8	information	information	NOUN
ap-2230	321	9	.	.	PUNCT
ap-2230	322	1	in	in	ADP
ap-2230	322	2	applications	application	NOUN
ap-2230	322	3	of	of	ADP
ap-2230	322	4	evolutionary	evolutionary	ADJ
ap-2230	322	5	computation	computation	NOUN
ap-2230	322	6	,	,	PUNCT
ap-2230	322	7	vol	vol	NOUN
ap-2230	322	8	.	.	PROPN
ap-2230	322	9	6624	6624	NUM
ap-2230	322	10	of	of	ADP
ap-2230	322	11	lecture	lecture	NOUN
ap-2230	322	12	notes	note	NOUN
ap-2230	322	13	in	in	ADP
ap-2230	322	14	computer	computer	NOUN
ap-2230	322	15	science	science	NOUN
ap-2230	322	16	,	,	PUNCT
ap-2230	322	17	pp	pp	ADP
ap-2230	322	18	.	.	PUNCT
ap-2230	323	1	153–162	153–162	NUM
ap-2230	323	2	.	.	PUNCT
ap-2230	324	1	springer	springer	PROPN
ap-2230	324	2	berlin	berlin	PROPN
ap-2230	324	3	heidelberg	heidelberg	PROPN
ap-2230	324	4	,	,	PUNCT
ap-2230	324	5	2011	2011	NUM
ap-2230	324	6	.	.	PUNCT
ap-2230	325	1	doi:10.1007/978	doi:10.1007/978	ADJ
ap-2230	325	2	-	-	PUNCT
ap-2230	325	3	3	3	NUM
ap-2230	325	4	-	-	PUNCT
ap-2230	325	5	642	642	NUM
ap-2230	325	6	-	-	PUNCT
ap-2230	325	7	20525	20525	NUM
ap-2230	325	8	-	-	SYM
ap-2230	325	9	5_16	5_16	NUM
ap-2230	325	10	.	.	PUNCT
ap-2230	326	1	[	[	X
ap-2230	326	2	9	9	NUM
ap-2230	326	3	]	]	PUNCT
ap-2230	326	4	m.	m.	NOUN
ap-2230	326	5	lanctot	lanctot	PROPN
ap-2230	326	6	,	,	PUNCT
ap-2230	326	7	v.	v.	ADP
ap-2230	326	8	lisý	lisý	NOUN
ap-2230	326	9	,	,	PUNCT
ap-2230	326	10	m.	m.	PROPN
ap-2230	326	11	h.	h.	PROPN
ap-2230	326	12	m.	m.	PROPN
ap-2230	326	13	winands	winand	NOUN
ap-2230	326	14	.	.	PUNCT
ap-2230	327	1	monte	monte	PROPN
ap-2230	327	2	carlo	carlo	PROPN
ap-2230	327	3	tree	tree	NOUN
ap-2230	327	4	search	search	NOUN
ap-2230	327	5	in	in	ADP
ap-2230	327	6	simultaneous	simultaneous	ADJ
ap-2230	327	7	move	move	NOUN
ap-2230	327	8	games	game	NOUN
ap-2230	327	9	with	with	ADP
ap-2230	327	10	applications	application	NOUN
ap-2230	327	11	to	to	PART
ap-2230	327	12	goofspiel	goofspiel	VERB
ap-2230	327	13	.	.	PUNCT
ap-2230	328	1	in	in	ADP
ap-2230	328	2	computer	computer	NOUN
ap-2230	328	3	games	game	NOUN
ap-2230	328	4	workshop	workshop	NOUN
ap-2230	328	5	at	at	ADP
ap-2230	328	6	ijcai	ijcai	NOUN
ap-2230	328	7	2013	2013	NUM
ap-2230	328	8	,	,	PUNCT
ap-2230	328	9	vol	vol	NOUN
ap-2230	328	10	.	.	PROPN
ap-2230	328	11	408	408	NUM
ap-2230	328	12	of	of	ADP
ap-2230	328	13	communications	communication	NOUN
ap-2230	328	14	in	in	ADP
ap-2230	328	15	computer	computer	NOUN
ap-2230	328	16	and	and	CCONJ
ap-2230	328	17	information	information	NOUN
ap-2230	328	18	science	science	NOUN
ap-2230	328	19	(	(	PUNCT
ap-2230	328	20	ccis	ccis	PROPN
ap-2230	328	21	)	)	PUNCT
ap-2230	328	22	,	,	PUNCT
ap-2230	328	23	pp	pp	ADJ
ap-2230	328	24	.	.	PUNCT
ap-2230	329	1	28–43	28–43	NUM
ap-2230	329	2	.	.	PUNCT
ap-2230	329	3	springer	springer	NOUN
ap-2230	329	4	,	,	PUNCT
ap-2230	329	5	2014	2014	NUM
ap-2230	329	6	.	.	PUNCT
ap-2230	330	1	[	[	X
ap-2230	330	2	10	10	NUM
ap-2230	330	3	]	]	X
ap-2230	330	4	s.	s.	PROPN
ap-2230	330	5	hart	hart	PROPN
ap-2230	330	6	,	,	PUNCT
ap-2230	330	7	a.	a.	PROPN
ap-2230	330	8	mas	mas	PROPN
ap-2230	330	9	-	-	NOUN
ap-2230	330	10	colell	colell	NOUN
ap-2230	330	11	.	.	PUNCT
ap-2230	331	1	a	a	DET
ap-2230	331	2	simple	simple	ADJ
ap-2230	331	3	adaptive	adaptive	ADJ
ap-2230	331	4	procedure	procedure	NOUN
ap-2230	331	5	leading	lead	VERB
ap-2230	331	6	to	to	ADP
ap-2230	331	7	correlated	correlate	VERB
ap-2230	331	8	equilibrium	equilibrium	NOUN
ap-2230	331	9	.	.	PUNCT
ap-2230	332	1	econometrica	econometrica	PROPN
ap-2230	332	2	68(5):1127–1150	68(5):1127–1150	NUM
ap-2230	332	3	,	,	PUNCT
ap-2230	332	4	2000	2000	NUM
ap-2230	332	5	.	.	PUNCT
ap-2230	333	1	doi:10.1111/1468	doi:10.1111/1468	NOUN
ap-2230	333	2	-	-	PUNCT
ap-2230	333	3	0262.00153	0262.00153	VERB
ap-2230	333	4	.	.	PUNCT
ap-2230	334	1	[	[	X
ap-2230	334	2	11	11	NUM
ap-2230	334	3	]	]	PUNCT
ap-2230	334	4	m.	m.	NOUN
ap-2230	334	5	osborne	osborne	PROPN
ap-2230	334	6	,	,	PUNCT
ap-2230	334	7	a.	a.	PROPN
ap-2230	334	8	rubinstein	rubinstein	PROPN
ap-2230	334	9	.	.	PUNCT
ap-2230	335	1	a	a	DET
ap-2230	335	2	course	course	NOUN
ap-2230	335	3	in	in	ADP
ap-2230	335	4	game	game	NOUN
ap-2230	335	5	theory	theory	NOUN
ap-2230	335	6	.	.	PUNCT
ap-2230	336	1	mit	mit	PROPN
ap-2230	336	2	press	press	PROPN
ap-2230	336	3	,	,	PUNCT
ap-2230	336	4	1994	1994	NUM
ap-2230	336	5	.	.	PUNCT
ap-2230	337	1	[	[	X
ap-2230	337	2	12	12	NUM
ap-2230	337	3	]	]	PUNCT
ap-2230	337	4	h.	h.	PROPN
ap-2230	337	5	w.	w.	PROPN
ap-2230	337	6	kuhn	kuhn	PROPN
ap-2230	337	7	.	.	PUNCT
ap-2230	338	1	extensive	extensive	ADJ
ap-2230	338	2	games	game	NOUN
ap-2230	338	3	and	and	CCONJ
ap-2230	338	4	the	the	DET
ap-2230	338	5	problem	problem	NOUN
ap-2230	338	6	of	of	ADP
ap-2230	338	7	information	information	NOUN
ap-2230	338	8	.	.	PUNCT
ap-2230	339	1	contributions	contribution	NOUN
ap-2230	339	2	to	to	ADP
ap-2230	339	3	the	the	DET
ap-2230	339	4	theory	theory	NOUN
ap-2230	339	5	of	of	ADP
ap-2230	339	6	games	game	NOUN
ap-2230	339	7	2(28):193–216	2(28):193–216	NUM
ap-2230	339	8	,	,	PUNCT
ap-2230	339	9	1953	1953	NUM
ap-2230	339	10	.	.	PUNCT
ap-2230	340	1	[	[	X
ap-2230	340	2	13	13	NUM
ap-2230	340	3	]	]	PUNCT
ap-2230	340	4	m.	m.	NOUN
ap-2230	340	5	johanson	johanson	PROPN
ap-2230	340	6	,	,	PUNCT
ap-2230	340	7	k.	k.	PROPN
ap-2230	340	8	waugh	waugh	PROPN
ap-2230	340	9	,	,	PUNCT
ap-2230	340	10	m.	m.	NOUN
ap-2230	340	11	bowling	bowling	NOUN
ap-2230	340	12	,	,	PUNCT
ap-2230	340	13	m.	m.	NOUN
ap-2230	340	14	zinkevich	zinkevich	NOUN
ap-2230	340	15	.	.	PUNCT
ap-2230	341	1	accelerating	accelerate	VERB
ap-2230	341	2	best	good	ADJ
ap-2230	341	3	response	response	NOUN
ap-2230	341	4	calculation	calculation	NOUN
ap-2230	341	5	in	in	ADP
ap-2230	341	6	large	large	ADJ
ap-2230	341	7	extensive	extensive	ADJ
ap-2230	341	8	games	game	NOUN
ap-2230	341	9	.	.	PUNCT
ap-2230	342	1	in	in	ADP
ap-2230	342	2	proceedings	proceeding	NOUN
ap-2230	342	3	of	of	ADP
ap-2230	342	4	the	the	DET
ap-2230	342	5	twenty	twenty	NUM
ap-2230	342	6	-	-	PUNCT
ap-2230	342	7	second	second	NOUN
ap-2230	342	8	international	international	ADJ
ap-2230	342	9	joint	joint	ADJ
ap-2230	342	10	conference	conference	NOUN
ap-2230	342	11	on	on	ADP
ap-2230	342	12	artificial	artificial	ADJ
ap-2230	342	13	intelligence	intelligence	NOUN
ap-2230	342	14	volume	volume	NOUN
ap-2230	342	15	volume	volume	NOUN
ap-2230	342	16	one	one	NUM
ap-2230	342	17	,	,	PUNCT
ap-2230	342	18	ijcai’11	ijcai’11	PROPN
ap-2230	342	19	,	,	PUNCT
ap-2230	342	20	pp	pp	ADV
ap-2230	342	21	.	.	PUNCT
ap-2230	343	1	258–265	258–265	NUM
ap-2230	343	2	.	.	PUNCT
ap-2230	344	1	aaai	aaai	PROPN
ap-2230	344	2	press	press	PROPN
ap-2230	344	3	,	,	PUNCT
ap-2230	344	4	2011	2011	NUM
ap-2230	344	5	.	.	PUNCT
ap-2230	345	1	doi:10.5591/978	doi:10.5591/978	PROPN
ap-2230	345	2	-	-	PUNCT
ap-2230	345	3	1	1	NUM
ap-2230	345	4	-	-	PUNCT
ap-2230	345	5	57735	57735	NUM
ap-2230	345	6	-	-	PUNCT
ap-2230	345	7	516	516	NUM
ap-2230	345	8	-	-	PUNCT
ap-2230	345	9	8	8	NUM
ap-2230	345	10	/	/	SYM
ap-2230	345	11	ijcai11	ijcai11	NOUN
ap-2230	345	12	-	-	PUNCT
ap-2230	345	13	054	054	NOUN
ap-2230	345	14	.	.	PUNCT
ap-2230	346	1	[	[	X
ap-2230	346	2	14	14	NUM
ap-2230	346	3	]	]	PUNCT
ap-2230	346	4	b.	b.	PROPN
ap-2230	346	5	bosansky	bosansky	PROPN
ap-2230	346	6	,	,	PUNCT
ap-2230	346	7	c.	c.	PROPN
ap-2230	346	8	kiekintveld	kiekintveld	PROPN
ap-2230	346	9	,	,	PUNCT
ap-2230	346	10	v.	v.	PROPN
ap-2230	346	11	lisy	lisy	PROPN
ap-2230	346	12	,	,	PUNCT
ap-2230	346	13	et	et	PROPN
ap-2230	346	14	al	al	PROPN
ap-2230	346	15	.	.	PROPN
ap-2230	346	16	double	double	ADJ
ap-2230	346	17	-	-	PUNCT
ap-2230	346	18	oracle	oracle	NOUN
ap-2230	346	19	algorithm	algorithm	NOUN
ap-2230	346	20	for	for	ADP
ap-2230	346	21	computing	compute	VERB
ap-2230	346	22	an	an	DET
ap-2230	346	23	exact	exact	ADJ
ap-2230	346	24	nash	nash	NOUN
ap-2230	346	25	equilibrium	equilibrium	NOUN
ap-2230	346	26	in	in	ADP
ap-2230	346	27	zero	zero	NUM
ap-2230	346	28	-	-	PUNCT
ap-2230	346	29	sum	sum	NOUN
ap-2230	346	30	extensive	extensive	ADJ
ap-2230	346	31	-	-	PUNCT
ap-2230	346	32	form	form	NOUN
ap-2230	346	33	games	game	NOUN
ap-2230	346	34	.	.	PUNCT
ap-2230	347	1	in	in	ADP
ap-2230	347	2	proceedings	proceeding	NOUN
ap-2230	347	3	of	of	ADP
ap-2230	347	4	international	international	ADJ
ap-2230	347	5	conference	conference	NOUN
ap-2230	347	6	on	on	ADP
ap-2230	347	7	autonomous	autonomous	ADJ
ap-2230	347	8	agents	agent	NOUN
ap-2230	347	9	and	and	CCONJ
ap-2230	347	10	multiagent	multiagent	NOUN
ap-2230	347	11	systems	system	NOUN
ap-2230	347	12	(	(	PUNCT
ap-2230	347	13	aamas	aamas	PROPN
ap-2230	347	14	)	)	PUNCT
ap-2230	347	15	,	,	PUNCT
ap-2230	347	16	pp	pp	ADP
ap-2230	347	17	.	.	PUNCT
ap-2230	348	1	335–342	335–342	NUM
ap-2230	348	2	.	.	PUNCT
ap-2230	349	1	2013	2013	NUM
ap-2230	349	2	.	.	PUNCT
ap-2230	350	1	[	[	X
ap-2230	350	2	15	15	NUM
ap-2230	350	3	]	]	X
ap-2230	350	4	v.	v.	CCONJ
ap-2230	350	5	lisy	lisy	PROPN
ap-2230	350	6	,	,	PUNCT
ap-2230	350	7	r.	r.	PROPN
ap-2230	350	8	pibil	pibil	PROPN
ap-2230	350	9	,	,	PUNCT
ap-2230	350	10	j.	j.	PROPN
ap-2230	350	11	stiborek	stiborek	PROPN
ap-2230	350	12	,	,	PUNCT
ap-2230	350	13	et	et	PROPN
ap-2230	350	14	al	al	PROPN
ap-2230	350	15	.	.	PROPN
ap-2230	350	16	game	game	NOUN
ap-2230	350	17	-	-	PUNCT
ap-2230	350	18	theoretic	theoretic	NOUN
ap-2230	350	19	approach	approach	NOUN
ap-2230	350	20	to	to	ADP
ap-2230	350	21	adversarial	adversarial	ADJ
ap-2230	350	22	plan	plan	NOUN
ap-2230	350	23	recognition	recognition	NOUN
ap-2230	350	24	.	.	PUNCT
ap-2230	351	1	in	in	ADP
ap-2230	351	2	proceedings	proceeding	NOUN
ap-2230	351	3	of	of	ADP
ap-2230	351	4	the	the	DET
ap-2230	351	5	20th	20th	ADJ
ap-2230	351	6	european	european	ADJ
ap-2230	351	7	conference	conference	NOUN
ap-2230	351	8	on	on	ADP
ap-2230	351	9	artificial	artificial	ADJ
ap-2230	351	10	intelligence	intelligence	NOUN
ap-2230	351	11	(	(	PUNCT
ap-2230	351	12	ecai	ecai	PROPN
ap-2230	351	13	)	)	PUNCT
ap-2230	351	14	,	,	PUNCT
ap-2230	351	15	pp	pp	ADP
ap-2230	351	16	.	.	PUNCT
ap-2230	352	1	546–551	546–551	NUM
ap-2230	352	2	.	.	NOUN
ap-2230	352	3	2012	2012	NUM
ap-2230	352	4	.	.	PUNCT
ap-2230	353	1	doi:10.3233/978	doi:10.3233/978	ADP
ap-2230	353	2	-	-	PUNCT
ap-2230	353	3	1	1	NUM
ap-2230	353	4	-	-	PUNCT
ap-2230	353	5	61499	61499	NUM
ap-2230	353	6	-	-	PUNCT
ap-2230	353	7	098	098	NUM
ap-2230	353	8	-	-	PUNCT
ap-2230	353	9	7	7	NUM
ap-2230	353	10	-	-	NUM
ap-2230	353	11	546	546	NUM
ap-2230	353	12	.	.	PUNCT
ap-2230	354	1	[	[	X
ap-2230	354	2	16	16	NUM
ap-2230	354	3	]	]	X
ap-2230	354	4	p.	p.	NOUN
ap-2230	354	5	auer	auer	PROPN
ap-2230	354	6	,	,	PUNCT
ap-2230	354	7	n.	n.	PROPN
ap-2230	354	8	cesa	cesa	PROPN
ap-2230	354	9	-	-	PUNCT
ap-2230	354	10	bianchi	bianchi	PROPN
ap-2230	354	11	,	,	PUNCT
ap-2230	354	12	p.	p.	NOUN
ap-2230	354	13	fischer	fischer	PROPN
ap-2230	354	14	.	.	PUNCT
ap-2230	355	1	finite	finite	ADJ
ap-2230	355	2	-	-	PUNCT
ap-2230	355	3	time	time	NOUN
ap-2230	355	4	analysis	analysis	NOUN
ap-2230	355	5	of	of	ADP
ap-2230	355	6	the	the	DET
ap-2230	355	7	multiarmed	multiarme	VERB
ap-2230	355	8	bandit	bandit	NOUN
ap-2230	355	9	problem	problem	NOUN
ap-2230	355	10	.	.	PUNCT
ap-2230	356	1	machine	machine	NOUN
ap-2230	356	2	learning	learn	VERB
ap-2230	356	3	47(2	47(2	PROPN
ap-2230	356	4	-	-	PUNCT
ap-2230	356	5	3):235–256	3):235–256	NUM
ap-2230	356	6	,	,	PUNCT
ap-2230	356	7	2002	2002	NUM
ap-2230	356	8	.	.	PUNCT
ap-2230	357	1	doi:10.1023	doi:10.1023	NOUN
ap-2230	357	2	/	/	SYM
ap-2230	358	1	a:1013689704352	a:1013689704352	VERB
ap-2230	358	2	.	.	PUNCT
ap-2230	359	1	[	[	X
ap-2230	359	2	17	17	NUM
ap-2230	359	3	]	]	X
ap-2230	359	4	c.	c.	PROPN
ap-2230	359	5	b.	b.	PROPN
ap-2230	359	6	browne	browne	PROPN
ap-2230	359	7	,	,	PUNCT
ap-2230	359	8	e.	e.	PROPN
ap-2230	359	9	powley	powley	PROPN
ap-2230	359	10	,	,	PUNCT
ap-2230	359	11	d.	d.	PROPN
ap-2230	359	12	whitehouse	whitehouse	PROPN
ap-2230	359	13	,	,	PUNCT
ap-2230	359	14	et	et	PROPN
ap-2230	359	15	al	al	PROPN
ap-2230	359	16	.	.	PUNCT
ap-2230	360	1	a	a	DET
ap-2230	360	2	survey	survey	NOUN
ap-2230	360	3	of	of	ADP
ap-2230	360	4	monte	monte	PROPN
ap-2230	360	5	carlo	carlo	PROPN
ap-2230	360	6	tree	tree	NOUN
ap-2230	360	7	search	search	NOUN
ap-2230	360	8	methods	method	NOUN
ap-2230	360	9	.	.	PUNCT
ap-2230	361	1	computational	computational	ADJ
ap-2230	361	2	intelligence	intelligence	NOUN
ap-2230	361	3	and	and	CCONJ
ap-2230	361	4	ai	ai	VERB
ap-2230	361	5	in	in	ADP
ap-2230	361	6	games	game	NOUN
ap-2230	361	7	,	,	PUNCT
ap-2230	361	8	ieee	ieee	NOUN
ap-2230	361	9	transactions	transaction	NOUN
ap-2230	361	10	on	on	ADP
ap-2230	361	11	4(1):1–43	4(1):1–43	NUM
ap-2230	361	12	,	,	PUNCT
ap-2230	361	13	2012	2012	NUM
ap-2230	361	14	.	.	PUNCT
ap-2230	362	1	doi:10.1109	doi:10.1109	VERB
ap-2230	362	2	/	/	SYM
ap-2230	362	3	tciaig.2012.2186810	tciaig.2012.2186810	NOUN
ap-2230	362	4	.	.	PUNCT
ap-2230	363	1	[	[	X
ap-2230	363	2	18	18	NUM
ap-2230	363	3	]	]	X
ap-2230	363	4	m.	m.	NOUN
ap-2230	363	5	shafiei	shafiei	PROPN
ap-2230	363	6	,	,	PUNCT
ap-2230	363	7	n.	n.	PROPN
ap-2230	363	8	sturtevant	sturtevant	PROPN
ap-2230	363	9	,	,	PUNCT
ap-2230	363	10	j.	j.	PROPN
ap-2230	363	11	schaeffer	schaeffer	PROPN
ap-2230	363	12	.	.	PUNCT
ap-2230	364	1	comparing	compare	VERB
ap-2230	364	2	uct	uct	PROPN
ap-2230	364	3	versus	versus	ADP
ap-2230	364	4	cfr	cfr	PROPN
ap-2230	364	5	in	in	ADP
ap-2230	364	6	simultaneous	simultaneous	ADJ
ap-2230	364	7	games	game	NOUN
ap-2230	364	8	.	.	PUNCT
ap-2230	365	1	in	in	ADP
ap-2230	365	2	ijcai	ijcai	NOUN
ap-2230	365	3	workshop	workshop	NOUN
ap-2230	365	4	on	on	ADP
ap-2230	365	5	general	general	ADJ
ap-2230	365	6	game	game	NOUN
ap-2230	365	7	playing	playing	NOUN
ap-2230	365	8	.	.	PUNCT
ap-2230	366	1	2009	2009	NUM
ap-2230	366	2	.	.	PUNCT
ap-2230	367	1	[	[	X
ap-2230	367	2	19	19	NUM
ap-2230	367	3	]	]	X
ap-2230	367	4	s.	s.	PROPN
ap-2230	367	5	hart	hart	PROPN
ap-2230	367	6	,	,	PUNCT
ap-2230	367	7	a.	a.	PROPN
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ap-2230	370	6	-	-	PUNCT
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