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社会系统中存在大量各种形式的合作关系,群体中的合作行为一直是社会学尤其是经济学中的重要问题。本文以一定概率将个体间的关系设定为非活跃的,分析具有空间结构的合作行为是如何演化的,以此刻画系统中合作的产生和发展。基于典型的博弈模型——囚徒困境模型得到的研究结果如下:在系统结构固定的情况下存在一个临界的活跃关系概率,此时系统的局域性会被打破而向全局化演变;在系统结构变化的情况下,合作行为的表现与前者完全不同;若报偿较少或少量关系被冷冻,则系统中的合作行为会被极大地加强。
There are many forms of cooperative relations in the social system. Cooperative behavior among groups has always been an important issue in sociology, especially in economics. In this paper, the relationship between individuals is set to be inactive with a certain probability, and how the cooperative behavior with spatial structure evolves is analyzed in order to characterize the emergence and development of cooperation in the system. Based on the typical game model - Prisoners Dilemma, the research results are as follows: In the case of a fixed system structure, there is a critical probability of active relations, at this time, the local area of the system will be broken and the global evolution will be made. In the system structure In the case of change, the performance of the cooperative behavior is completely different from the former; if the compensation is small or a small amount of the relationship is frozen, the cooperative behavior in the system will be greatly strengthened.