摘要
在分组总体模型中,利用转移概率公式分别推导了弱选择下基于Moran过程、成对比较过程和局部更新过程的一般策略进化条件;然后基于成对比较过程,利用组内方差和组间离差的近似公式,得到了合作策略进化的条件,并进一步将突变、惩罚和报复机制引入分组总体模型中,讨论合作策略进化的条件.
Based on grouping populations,in this paper the evolutionary conditions of strategies under weak selection for Moran process,pairwise comparison process,and local update process,are obtained by using transition probabilities.Then the conditions for the evolution of cooperation based on pairwise comparison process are derived from the approximate formulas of within-group variances and between-group variances.Finally,mutation,punishment and revenge mechanism are introduced, and the conditions for the evolution of cooperation are discussed.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2012年第1期1-11,共11页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(10971097
10732040)
国家973计划(2007CB936204)
