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CyberAgent,	Inc.	
How	Do	Newcomers		
	Blend	into	a	Group?:		
Study	on	a	Social	Network	Game	
CyberAgent.	Inc,		
	Technical	Dept.	Akihabara	Laboratory		
	 	M.	Takano,	K.	Wada,	and	I.	Fukuda	
1	
DOCMAS	&	WEIN	2015	Workshop	@	WI-IAT
CyberAgent,	Inc.	
CooperaTve	Behavior	
Coopera've	behavior	
	requires	actors'	costs,	
	but	give	benefits	to	recipients.	
Important	factors	for		
	human	society.	
Big	Ques'on	in	Evolu'on.	
2
CyberAgent,	Inc.	
Problem	of	CooperaTon	
Mutual	cooperaTon	increases	our	benefit.	
Why	is	its	evoluTon	the	quesTon?	
3	
CooperaTng	each	other	
The	both	get	benefits	
Cooperate	
Cooperate
CyberAgent,	Inc.	
Problem	of	CooperaTon	
Mutual	cooperaTon	increases	our	benefit.	
Why	is	this	evoluTon	the	quesTon?	
4	
But	if	one	defects	
The	defector	gets	higher	benefit		
than	another	(cooperator).	
Defect	
Cooperate
CyberAgent,	Inc.	
Problem	of	CooperaTon	
Mutual	cooperaTon	make	benefit	for	all.	
But	unilateral	defecTon	make	more	benefits	to	defectors.	
→	Coopera've	popula'on	will	become	defec've	popula'on	
5	
High	Benefit	
Low	Benefit	
Good	relaTonship,		
but	unstable.	
Stable,		
but	bad	relaTonship
CyberAgent,	Inc.	
Problem	of	CooperaTon	
However,	humans	
	cooperate	each	other	
	
Human	should	have	goen	
	coopera'on	mechanisms	
	during	the	evoluTonary	 	
	process	 6
CyberAgent,	Inc.	
Mechanisms	of	CooperaTon	
ü Kin	SelecTon	
ü Direct	Reciprocity	
ü Indirect	Reciprocity	
ü SpaTal	SelecTon	
ü MulT-level	SelecTon	
	ref.	David	G	Rand,	et	al.,	Human	cooperaTon.		Trends	in	cogniTve	sciences,	Vol.	17,	No.	8,	pp.	413-25,	2013.	
	
These	mechanisms	generate	assortments	between	
cooperators	and	defectors	to	keep	interacTon	among	
cooperators	by	excluding	strangers.	
i.e.,	cooperaTon	mechanisms	exclude	strangers	from	
cooperaTve	groups.	
7
CyberAgent,	Inc.	
Problem	of	CooperaTon	Mechanisms	
ü  Kin	SelecTon	
ü  Direct	Reciprocity	
ü  Indirect	Reciprocity	
ü  SpaTal	SelecTon	
ü  MulT-level	SelecTon	
The	reciprocal	mechanisms	require	coopera've	interac'on		
in	first	'me	mee'ng,	because	reciprocal	cooperators	cooperate	others	as	the	
reacTon	of	their	cooperaTon	to	avoid	to	cooperate	defectors.	
ü  i.e.,	to	increase	reciprocal	relaTonships,	in	first	Tme	meeTng,	they	should	
cooperate	(not	exclude)	strangers	to	construct	good	relaTonships.	
	
There	are	interac'on	risks,	because	they	are	unfamiliar	each	other.	
→	How	do	humans	construct	reciprocal	rela'onships		
	with	strangers?	
8
CyberAgent,	Inc.	
Our	Approach	
We	approached	this	problem		
based	on	data	analysis	of	a	social	network	game.	
Social	Network	Game	(SNG):		
ü One	type	of	the	Online	Games.	
ü A	lot	of	players,	and	their	all	behavior	was	stored	as	
log	data.	
ü Players	cooperate	and	compete	each	other.	
→	We	can	observe	their	social	behavior	in	detail.	
9
CyberAgent,	Inc.	
Previous	Studies	and	Our	Approach	
10	
ParTal	and	Biased	Data	
Hard	to	Understand	
Clean	and	Detailed	Data	
Easy	to	Understand	
MathemaTcal	Model	
SimulaTon	
Experiments		
in	Lab	
✊	 ✋	
Data Analysis of SNGs
ObservaTon		
Study	
The	data	analysis	of	the	game	data	catch	up	other	approaches.	
ü We	can	observe	detail	behavior	data	of	massive	players	like	
mathemaTcal	models	and	simulaTons.	
ü The	data	is	more	detail	than	observaTon	studies.	
ü The	game	environment	is	more	open-ended	than	others.
CyberAgent,	Inc.	
Social	Network	Game	
11	
•  URL:	hp://vcard.ameba.jp	
•  Lang:	Japanese	
•  Since	2012/10	
We	analyzed	this	game	data	for	2	weeks	(2013/03/25	to	2013/04/08).
CyberAgent,	Inc.	
The	Minimum	Set	of	Game	Rules	
12	
•  Players	aim	to	get	points	and	to	rise	a	ranking	based	on	the	points		
•  Each	player	belonged	to	a	group(The	group	size:	1〜50	players)	
•  The	game	system	support	joint	works	in	groups.	
•  Players	get	advantages	when	they	do	joint	work	with	their	group	
members	
•  A	player	can	migrate	from	a	group	to	another	group	at	any	Tme.	
•  Players	communicate	by	sending	simple	message	(30	Japanese	characters). 		
•  Messaging:	no-cost	and	non-beneficial	behavior.	
→	We	analyzed	2	types	social	interacTon:	cooperaTon	and	messaging	
1:	Smith(12040pt)	
2:	MarTn(11010pt)	
3:	Anderson(11005pt)	
4:	Ken(9015pt)	
・・・	
Migra'on	
Ranking	
Simple	messaging	
Coopera'on
CyberAgent,	Inc.	
CooperaTve	Behavior	
ü We	focus	on	a	specific	game	situaTon	like	Leader	game	
ü In	the	SNG,	players	behave	variously.	
ü We	cannot	track	all	cooperaTve	behavior.	
→	We	regarded	
			A	player's	this	cooperaTon	frequency	in	the	SNG	
	 	≒	the	player's	cooperaTveness	
ü Payoff	Matrix	of	the	situaTon	like	Leader	game	
13	
Cooperate	 Defect	
Cooperate	 -,	-	 1,	3	
Defect	 3,	1	 0,	0	
Cooperator	get	1	point.	
Defector	get	3	point.
CyberAgent,	Inc.	
InteracTon	of	First	Time	MeeTng	
ü We	try	to	observe	the	construcTon	process	of	reciprocal	
relaTonships.	
ü In	this	SNG,	players	constructed	the	relaTonships.	
ü ref:	Masanori	Takano,	Kazuya	Wada,	and	Ichiro	Fukuda,	"Reciprocal	Altruism-
based	CooperaTon	in	a	Social	Network	Game",	New	GeneraTon	CompuTng	(in	
press).		hp://arxiv.org/abs/1510.06197	
ü We	observed	players'	behavior	at	the	amer	migraTon	
ü Did	the	newcomers	and	group	members	cooperate	each	
other?	
ü How	was	the	difference	in	social	interacTon	between	the	
newcomers	and	the	group	members?	
14	
Migra'on
CyberAgent,	Inc.	
Analysis	and	
Results	
15	
DOCMAS	&	WEIN	2015	Workshop	@	WI-IAT
CyberAgent,	Inc.	
Two	Regression	Models	
ü A	Model	for	Coopera'on	to	others	
ü Were	newcomers	cooperaTve?	
ü How	was	coopera'on	to	others	influenced	by	recipients'	
behavior?	
ü A	Model	for	Coopera'on	from	others	
ü Were	newcomers	cooperated?	
ü How	was	coopera'on	from	others	influenced	by	actors'	
behavior?	
16
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
17	
A	Model	for	CooperaTon	to	Others	
ü This	model	is	intended	to	explain	the	number	of	coopera'on	
by	players'	experiences	and	aVributes	
Response	Variable:		
		Number	of	CooperaTon	to	Others	
Explanatory	Variables:		
	Experiences	and	Aributes	
Sample	Size:	400,000
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
18	
A	Model	for	CooperaTon	to	Others	
ü Did	newcomers	cooperate?	
f:	Newcomer	Flag	(0	or	1)	
•  f=1:	Newcomer	(first	day	of	migraTon)	
•  f=0:	ExisTng	Group	Members	
If	β4	>	0	then		
	it	shows	that	newcomers	more	omen	
	 	cooperate	than	exis'ng	group	members.	
Response	Variable:		
		Number	of	CooperaTon	to	Others
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
19	
A	Model	for	CooperaTon	to	Others	
ü How	did	newcomers	react	others	coopera'on?	
C'	(1-f):		
		(Exis'ng	Group	Member's	)	Number	of	CooperaTon	from	Others	
If	β6	>	β5	>	0	then	
		it	shows	newcomers	were	influenced	by	cooperaTon		
		from	others	more	than	exis'ng	group	members.	
C'	f:		
		(Newcomer's)	Number	of	CooperaTon	from	Others	
Response	Variable:		
		Number	of	CooperaTon	to	Others
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
20	
A	Model	for	CooperaTon	to	Others	
ü How	did	newcomers	react	others	messaging?	
g'	(1-f):		
		(Exis'ng	Group	Member's	)	Number	of	Messaging	from	Others	
If	β8	>	β7	>	0	then	
		it	shows	newcomers	were	influenced	by	messaging	
		from	others	more	than	exis'ng	group	members.	
g'	f:		
		(Newcomer's)	Number	of	Messaging	from	Others	
Response	Variable:		
		Number	of	CooperaTon	to	Others
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
21	
A	Model	for	CooperaTon	to	Others	
ü The	others	were	entered	as	covariates	to	control	for	
the	other	effects.	
The	others	are	covariates	
Response	Variable:		
		Number	of	CooperaTon	to	Others
CyberAgent,	Inc.	
Results	–	Model	for	CooperaTon	to	Others	
•  Newcomers	tended	to	cooperate	others	without	
others	cooperaTon	and	messaging.	
•  Newcomers	omen	cooperated	group	members.	
ü β4	>	0	
•  In	comparison	between	newcomers	and	group	members	
ü Newcomers	didn't	tend	to	be	influenced	by	others	social	behavior.	
ü β5	>	β6	>	0,	β7	>	β8	>	0	
22	
β4	
β5	
β6	
β7	
β8
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
23	
A	Model	for	CooperaTon	from	others	
ü This	model	is	intended	the	number	of	coopera'on	from	
others	by	behavior	and	aVributes	
Response	Variable:		
					Number	of	CooperaTon	from	Others	
Explanatory	Variables:		
	Behaviors	and	Aributes	
Sample	Size:	400,000
CyberAgent,	Inc.	
Response	Variable:		
					Number	of	CooperaTon	from	Others	
NegaTve	Binomial	Regression	Model	(GLM)	
24	
A	Model	for	CooperaTon	from	others	
ü Were	newcomers	cooperated?	
f:	Newcomer	Flag	(0	or	1)	
•  f=1:	Newcomer	(first	day	of	migraTon)	
•  f=0:	ExisTng	Group	Members	
If	β4	>	0	then		
		it	shows	that	newcomers	were	more	omen	
	cooperated	than	exis'ng	group	members.
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
25	
A	Model	for	CooperaTon	from	others	
ü How	did	newcomers	react	others	coopera'on?	
C	(1-f):		
		(Exis'ng	Group	Member's)	Number	of	CooperaTon	to	Others	
If	β6	>	β5	>	0	then	
		it	shows	Players	were	more	sensiTve	newcomers'		
	cooperaTon	than	exis'ng	members'	cooperaTon.	
C	f:		
		(Newcomer's)	Number	of	CooperaTon	to	Others	
Response	Variable:		
					Number	of	CooperaTon	from	Others
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
26	
A	Model	for	CooperaTon	from	others	
ü How	did	newcomers	react	others	messaging?	
g	(1-f):		
	(Exis'ng	Group	Member's)	Number	of	Messaging	to	Others	
If	β8	>	β7	>	0	then 		
		it	shows	Players	were	more	sensiTve	newcomers'		
	messaging	than	exis'ng	members'	messaging.	
g	f:		
	(Newcomer's)	Number	of	Messaging	to	Others	
Response	Variable:		
					Number	of	CooperaTon	from	Others
CyberAgent,	Inc.	
NegaTve	Binomial	Regression	Model	(GLM)	
27	
A	Model	for	CooperaTon	from	others	
ü The	others	were	entered	as	covariates	to	control	for	
the	other	factors.	
The	others	are	covariates	
Response	Variable:		
					Number	of	CooperaTon	from	Others
CyberAgent,	Inc.	
Results	–	Model	for	CooperaTon	from	Others	
ü Newcomers	tended	to	be	cooperated,		
newcomers	messaging	is	important	to	get	cooperaTon.	
ü  Newcomers	were	omen	cooperated	by	group	members.	
ü  β4	>	0		
ü  Players	were	less	sensiTve	to	newcomers'	cooperaTon	than		
exis'ng	group	members'	cooperaTon.	
ü  β5	>	β6	>	0	
ü  Players	were	more	sensiTve	to	newcomers'	messages	than	exis'ng	group	members'	
messages.	
ü  β8	>	β7	>	0	
28	
β4	
β5	
β6	
β7	
β8
CyberAgent,	Inc.	
Summary	
ü The	SNG	players	resolved	interacTon	risk	in	
first	Tme	meeTng.	
ü In	first	'me	mee'ng,	they	o]en	cooperated	
each	other.	
→	They	may	have	constructed	reciprocal		
	relaTonships.	
ü ref.	Reciprocal	relaTonships	in	this	SNG.	
ü Masanori	Takano,	Kazuya	Wada,	and	Ichiro	Fukuda,		
"Reciprocal	Altruism-based	CooperaTon	in	a	Social	Network	Game",		
New	GeneraTon	CompuTng	(in	press).		hp://arxiv.org/abs/1510.06197	
29
CyberAgent,	Inc.	
Summary	
ü The	difference	between	newcomers	and	exis'ng	group	
members	in	messaging		
ü Players	were	more	sensiTve	newcomers'	messaging	than	
exis'ng	members'	messaging.	
ü Messaging	is	not	risky		
ü Messaging:	no-cost	and	non-beneficial	behavior		
ü In	the	risky	situaTon	(first	Tme	meeTng),		
players	may	have	use	non-risky	interacTon	to	construct	
reciprocal	cooperaTon.	
30
CyberAgent,	Inc.	
Appendix	
31
CyberAgent,	Inc.	
Game	Rule	–	Raid	Bale	
32	
①Search Enemies
Player	
⑤Their	point	gain	
increase	by	1.5	Tmes	
⑥Ranking	
Group	Members	
②Find	an	Enemy	
 →	Bale	Start	
③Call	for	Help	
④Aack	
1:	Smith(12040pt)	
2:	MarTn(11010pt)	
3:	Anderson(11005pt)	
4:	Ken(9015pt)	
・・・	
Players	bale	with	enemies	to	get	event	point	for	the	ranking	
•  Players	acquire	Event	Point	in	proporTon	to	their	power.	
•  The	number	of	aack	is	finite.	
	→	Players	have	to	effec'vely	get	the	points	for	the	ranking.
CyberAgent,	Inc.	
Test	Scenario	
33	
Aack	 Wait	
Aack	 -	 1,	3	
Wait	 3,	1	 0,	0	
To	simplify	this,	consider	that	two	players	baled	the	enemy	
A	player	wait	another's	aack	to	use	effecTvely	their	
resource.	
We	regarded	the	AVack	behavior	as	coopera'on.	
When	the	enemy's		hit	points	are	very	few	
Aack	
HP	
Players	acquire	smaller	points	when	
"Aack	power	>	Enemy's	HP"	than	when	
"Aack	power	≦	Enemy's	HP"
CyberAgent,	Inc.	
Assortment	Cooperators	and	Defectors	
Density	distribu'on	of	the	propor'on	of	
cooperators	in	each	group.	
34	
0.0
0.1
0.2
0.3
0.00 0.25 0.50 0.75 1.00
Proportion of Cooperators
Density
Masanori	Takano,	Kazuya	Wada,	and	Ichiro	Fukuda,	"Environmentally	Driven	
MigraTon	in	a	Social	Network	Game",	ScienTfic	Reports,	5,	12481;	doi:	
10.1038/srep12481	(2015).

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