基于综合理性的N(N≥2)囚徒困境问题

N(N≥2) Prisoner's Dilemma Problem Based on the Comprehensive Rationality

基于人性中利己主义和利他主义兼具的特征,在理想的个人理性和集体理性基础上,提出综合理性。在博弈目标中采用利己因子和利他因子反映自身得益和他人得益的受关注程度,对基于综合理性的N(N≥2)囚徒困境问题进行分析,提出共赢因子概念,定量分析判决规则和囚徒人数对博弈结果的影响,得到了一些有益的结论。

Since human nature has both the characteristic of egoism and altruism, the comprehensive rationality theory is raised, which is based on the ideal individual rationality and collective rationality. In the process of dealing with players in game, the egoism-gene and altruism-gene are adopted to reflect the attractiveness to self payoff and others payoff. Analyzes the N （N≥2） prisoner＇s dilemma problem based on comprehensive rationality, and advances the conception of the co-win gene. Finally, quantitative analysis is used to study the influence of judgment rule and prisoner＇s number on game results. Some beneficial conclusions are obtained.