Collective Behavior and Kin Selection in Evolutionary IPD
Some strategies can be evolutionarily stronger than others although no evolutionarily stable strategy exists in iterated prisoner's dilemma if the long-term payoff for each player is not insignificant. Li and Kendall (2009) introduced a so-called collective strategy for evolutionary iterated prisoner's dilemma which plays a sequence of predefined moves and then identifies the opponent according to the response. It only cooperates with kin members and defects against any other strategies. A group of collective strategies is especially strong in evolution. In this paper, we study a mixed strategy that assigns probabilities to the collective strategy and the strategy that always defects. A population of mixed strategies has the advantage of expelling fake kin members so that other strategies do not have the chance to indirectly invade. Simulations show that it is evolutionarily strong in maintaining a homogeneous population. Kin selection favors collective behavior among group members which is not necessarily cooperation. We find that defection can also be a kin altruism and there is qualitative benefit as well as quantitative benefit from the altruistic behaviors.
collective behavior kin selection evolutionarily stable strategy prisoner's dilemma