基于演化博弈研究移动和噪声对合作的影响

摘要

To resolve the problem of the selfish behaviour of nodes on regular lattices that it can not be effectively restrained,we propose an evolution of the prisoner’s dilemma game model which combines the individual migration with noise factor.This model analyses the effect of two factors,i.e.individual migration and noise,on cooperative behaviour in evolution game respectively and jointly in combination with four strategies of ALLC,ALLD,TFT and TF2T.According to payoff difference,players in the model can be moved to empty position in neighbour domain that yields higher than in current position,and learn,imitate during repeated gaming process,adjust game strategy constantly,improve the game payoff,and eventually achieve evolutionary stable status.Finally,the simulation is carried out on Matlab platform,experimental results show that the model can promote individual cooperation,and has suppression role on individual ’s cheating actions.%针对规则格子上的节点的自私行为不能有效抑制的问题，提出一个结合个体移动和噪声因素的演化囚徒困境模型。该模型结合 ALLC、ALLD、TFT 和 TF2T 四种策略来分析个体移动和噪声两个因素分别和共同对演化博弈中合作行为的影响。模型中的博弈者根据收益差异，可以移动到比当前位置收益高的邻居域的空位置，并且在反复博弈过程学习、模仿，不断调整博弈策略，提高博弈所得，最后达到进化稳定状态。最后在 Matlab 平台上进行仿真实验，实验结果表明，该模型能够促使个体合作，并且对个体的欺骗行为具有抑制作用。