A Win-Stay-lose-learn Mechanism Based on Aspiration Can Promote Cooperation in a Multigame

A major current focus in solving social dilemmas is how to ensure the sustainability of cooperation. In this work, we extend the traditional aspiration-based win-stay-lose-learn updating rule. Specifically, players maintain not only the strategy but also the game type if their payoffs are larger than the aspiration; otherwise, they synchronously change the game type and adopt a new strategy. We find that the present rule remarkably facilitates the evolution of cooperation and can maintain high cooperation given a large temptation to defect. The potential reason can be explained by the game transition caused by each player's aspiration.