基于奖励因子的囚徒困境博弈模型研究

Research on Prisoner's Dilemma Game Based on Reward Factor

针对合作演化问题,通过引入奖励因子。根据演化博弈论,研究在空间囚徒困境博弈中,奖励因子和记忆长度对策略改变的影响。先后分析了合作率与对背叛诱惑之间的关系图,合作率与记忆长度的关系图以及临界值和奖励因子变化的关系图等。研究发现,与传统囚徒困境博弈模型相比,增加奖励因子或减少记忆长度能有效促进合作的演化。

The evolution of cooperation is discussed according to the evolutionary game theory. We study the reward factor and memory during the strategy update process by introducing the reward factor in the spatial Prisoner＇s Dilemma Game. Firstly,we analyze the rate of cooperation and the temptation of betrayal,the relationship cooperative rate and memory length,and the relationship diagram of critical value and reward factor. A comparison with traditional Prisoner＇s Dilemma Game Model shows that increasing the reward factor or reducing the memory length effectively promotes the evolution of cooperation.