Evolution of mixed strategies for social dilemmas on structured networks

Cooperation in social dilemma games has been shown to be favored through evolution by various means such as topological heterogeneities or high benefit to cost ratio. As an extension to the previous studies with pure strategies, we incorporate the mixed strategies in the evolutionary dynamics and provide a higher resolution for the quantitative comparison of different scenarios with varying network topologies or game parameters. We show that this extension helps to reveal more information about the cooperation tendencies of different networks which can not be obtained from the pure strategy analysis. Comparison of steady state behaviors for different networks and game parameters are presented through simulation results.