Evolutionary Prisoner's Dilemma on heterogeneous Newman-Watts small-world network |
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Authors: | F Fu L-H Liu L Wang |
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Institution: | (1) Center for Systems and Control, College of Engineering, Peking University, Beijing, 100871, P.R. China |
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Abstract: | We focus on the heterogeneity of social networks and its
role to the emergence of prevailing cooperators and sustainable
cooperation. The social networks are representative of the
interaction relationships between players and their encounters in
each round of games. We study an evolutionary Prisoner's Dilemma
game on a variant of Newman-Watts small-world network, whose
heterogeneity can be tuned by a parameter. It is found that
optimal cooperation level exists at some intermediate topological
heterogeneity for different temptations to defect. That is,
frequency of cooperators peaks at a certain specific value of
degree heterogeneity — neither the most heterogeneous case nor
the most homogeneous one would favor the cooperators. Besides, the
average degree of networks and the adopted update rule also affect
the cooperation level. |
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Keywords: | 02 50 Le Decision theory and game theory 89 75 Hc Networks and genealogical trees 87 23 Ge Dynamics of social systems |
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