Abstract

Based on the prisoner's dilemma(PD) game, we study the effect of network structure on the evolution of cooperation. Among various statistical properties of network, we focus on the network structure entropy, which can assess how complex the structure of complex networks is. In this paper, we analyze and discuss the Prisoner's Dilemma Game Model based on Dynamic topology (PDG-DT) and Static topology (PDG-ST) under small world network and scale-free network respectively. There are no significant differences in experimental results on the BA and NW networks. For the PDG-ST and PDG-DT, there are appropriate network structure entropy values, which makes the density of the cooperator peak. Simulation results show that the network structure entropy plays an universal role in the cooperation of these networks and can effectively describe the influence of network structure on cooperation.

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