Dynamic Behavior Of Two Kinds Of Cyclic Dominance With Different Behavioral Error Ratios

This article combines the replication equation in the context of alternating donation games with the same behavioral error to provide a return table for 16 strategies in alternating donation games with behavioral error ratios Using the alternative donation game,this paper gives the basic algorithm of the cyclic advantage of the game under different behavior error ratios,and the classification of three cycles and four cycles is listed.In the synchronous prisoner’s dilemma,the central popular theorem is used to prove the existence of limit cycles in the fourcycle dominant system [3,15,10,8],[0,6,15,10].