Evolutionary Prisoner's Dilemma Game on small-world network

Abstract

This paper simulates the Prisoner's Dilemma Game on small-world networks. Previous work has paid many attentions to the effect of spatial structures on cooperative behavior. We consider the benefit of the cooperative behavior. It is found that, although at p=0.1 small-world region, neither the total payoffs nor the frequency of cooperators reaches a climax, and these two indicators increase rapidly in this area. Moreover, the standardized payoffs vary with frequency of cooperators positively and proportionally and a line fits well. Randomness is a positive element for cooperation and cooperative behavior brings benefit.