Extended Pair Approximation of Evolutionary Game on Complex Networks

Abstract

We investigate how network structure influences evolutionary games on networks. We extend the pair approximation to study the effects of degree fluctuation and clustering of the network. We find that a larger fluctuation of the degree is equivalent to a larger mobility of the players. In addition, a larger clustering coefficient is equivalent to a smaller number of neighbors.

to be published in Progress of Theoretical Physics

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• Optimization of institutional incentives for cooperation in structured populations
• A Condition for Cooperation in a Game on Complex Networks
• Methods for approximating stochastic evolutionary dynamics on graphs
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• Moran-evolution of cooperation: From well-mixed to heterogeneous complex networks
• Evolutionary game on networks with high clustering coefficient