Evolutionary games on scale-free networks with a preferential selection mechanism

Wen-Bo Du, Xian-Bin Cao, Lin Zhao and Mao-Bin Hu

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 20, 4509-4514

Abstract: Considering the heterogeneity of individuals’ influence in the real world, we introduce a preferential selection mechanism to evolutionary games (the Prisoner’s Dilemma Game and the Snowdrift Game) on scale-free networks and focus on the cooperative behavior of the system. In every step, each agent chooses an individual from all its neighbors with a probability proportional to kα indicating the influence of the neighbor, where k is the degree. Simulation results show that the cooperation level has a non-trivial dependence on α. To understand the effect of preferential selection mechanism on the evolution of the system, we investigate the time series of the cooperator frequency in detail. It is found that the cooperator frequency is greatly influenced by the initial strategy of hub nodes when α>0. This observation is confirmed by investigating the system behavior when some hub nodes’ strategies are fixed.

Keywords: Evolutionary games; Cooperation; Scale-free networks; Prisoner’s Dilemma Game; Snowdrift Game (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (33)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:20:p:4509-4514

DOI: 10.1016/j.physa.2009.07.012

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