Co-evolution of payoff strategy and interaction strategy in prisoner's dilemma game

Co-evolutionary dynamical models, providing a realistic paradigm for investigating complex system, have been extensively studied. In this paper, the co-evolution of payoff strategy and interaction strategy is studied. Starting with an initial Gaussian distribution of payoff strategy r with the mean u and the variance q, we focus on the final distribution of the payoff strategy. We find that final distribution of the payoff strategy may display different structures depending on parameters. In the ranges u<−1 and u>3, the distribution displays a single-peak structure which is symmetric about r=u. The distribution manifests itself as a double-peak structure in the range −1