Imitation, Local Interaction, and Coordination: Part I

This paper analyzes players’ long run behavior in evolutionary coordination games with local interaction and imitation. Players are assumed to interact only with their neighbors, and to imitate the successful actions taken by their neighbors or themselves. It is found that the payoff-dominant equilibrium could prevail in the long run. We also derive the conditions under which both risk–dominant-strategy and payoff-dominantstrategy takers would coexist in the long run. And the risk-dominant equilibrium is the unique long run equilibrium for the rest cases. Moreover, the convergence rates to all the equilibria are reported.