Insurance Strategy Can Promote Cooperation in the Presence of Antisocial Punishment in Public Goods Game

Previous researches have well demonstrated the importance of costly punishment for promoting the evolution of cooperation, while it remains unconsidered sides about the punishment. Recent evidences highlight that punishment cannot promote cooperation when punishment can be targeted at cooperators. In this paper, we study the evolutionary process of cooperation in the well-mixed population when the presence of antisocial punishment. Here cooperator can optionally adopt an insurance strategy which incurs an extra cost to resist the threat of antisocial punishment, and she will obtain compensation when being punished by antisocial punisher in the future. With this strategy, cooperators can opportunistically adjust their behavior, which makes cooperators evolve advantageously, and improve individuals´ average payoff in population.