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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.2 P.271~278


Strategic games on a hierarchical network model

Author(s):  Yi-xiao LI, Xiao-gang JIN, Fan-sheng KONG, Hui-lan LUO

Affiliation(s):  Institute of Artificial Intelligence, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   xiaogangj@cise.zju.edu.cn

Key Words:  Complex network, Hierarchical network model, Barabá, si-Albert (BA) model, Prisoner&rsquo, s dilemma (PD) game, Snowdrift game (SG)

Yi-xiao LI, Xiao-gang JIN, Fan-sheng KONG, Hui-lan LUO. Strategic games on a hierarchical network model[J]. Journal of Zhejiang University Science A, 2008, 9(2): 271~278.

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author="Yi-xiao LI, Xiao-gang JIN, Fan-sheng KONG, Hui-lan LUO",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

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%T Strategic games on a hierarchical network model
%A Yi-xiao LI
%A Xiao-gang JIN
%A Fan-sheng KONG
%A Hui-lan LUO
%J Journal of Zhejiang University SCIENCE A
%V 9
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%P 271~278
%@ 1673-565X
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A071331

T1 - Strategic games on a hierarchical network model
A1 - Yi-xiao LI
A1 - Xiao-gang JIN
A1 - Fan-sheng KONG
A1 - Hui-lan LUO
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 2
SP - 271
EP - 278
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A071331

Among complex network models, the hierarchical network model is the one most close to such real networks as world trade web, metabolic network, WWW, actor network, and so on. It has not only the property of power-law degree distribution, but also the scaling clustering coefficient property which barabá;si-Albert (BA) model does not have. BA model is a model of network growth based on growth and preferential attachment, showing the scale-free degree distribution property. In this paper, we study the evolution of cooperation on a hierarchical network model, adopting the prisoner&rsquo;s dilemma (PD) game and snowdrift game (SG) as metaphors of the interplay between connected nodes. BA model provides a unifying framework for the emergence of cooperation. But interestingly, we found that on hierarchical model, there is no sign of cooperation for PD game, while the frequency of cooperation decreases as the common benefit decreases for SG. By comparing the scaling clustering coefficient properties of the hierarchical network model with that of BA model, we found that the former amplifies the effect of hubs. Considering different performances of PD game and SG on complex network, we also found that common benefit leads to cooperation in the evolution. Thus our study may shed light on the emergence of cooperation in both natural and social environments.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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