Pairwise interact-and-imitate dynamics

Abstract This paper introduces and studies a class of evolutionary dynamics—pairwise interact-and-imitate dynamics (PIID)—in which agents are matched in pairs, engage symmetric game, imitate the opponent with probability that depends on difference their payoffs. We provide condition underlying named supremacy, show population state all play supreme strategy is globally asymptotically stable. extend framework to allow for payoff uncertainty, check robustness our results introduction some heterogeneity revision protocol followed by agents. Finally, we PIID can survival strictly dominated strategies, leads emergence inefficient conventions social dilemmas, makes assortment ineffective promoting cooperation.