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考虑“君子”参与的三策略博弈模型Smith动态演化分析

Analysis of Smith Dynamic Evolutionary with a Three-Strategy Game Considering the Participation of “Gentleman”
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摘要 根据"穷则独善其身,达则兼济天下"的修身治世哲学,笔者提出一种"君子"行为的演化策略PLRC(穷则保守孤独,富则济世合作),采用Smith动态方法分析了考虑"君子"参与的三策略博弈模型的确定性演化。演化结果显示,考虑"君子"参与的三策略博弈模型存在一个演化中心点,系统的演化终态是良性的,群体中合作者和"君子"共存,没有背叛者,"君子"可以更好地促进合作和提升群体适应度。 According to the self-cultivation philosophy of " Preserve your dignity as a nobody;promote the social welfare as a somebody", a kind of evolutionary strategy PLRC(being conservative and lonely when poor and cooperating with helping the world if rich) is proposed. Using a Smith dynamic method, we analyze the deterministic evolution of the three-strategy game considering the "gentleman" participation. The evolution results show that the three-strategy game with the participation of the "gentleman" has a central point of evolution. The final state of the evolution of the system is benign. In the group, the collaborator and the "gentleman"coexist without defectors. The "gentleman" can be better promote cooperation and improve group fitness.
作者 谢能刚 詹光杰 XIE Nenggang;ZHAN Guangjie(School of Management Science and Engineering,Anhui University of Technology,Ma'anshan Anhui 243002,China)
出处 《信息与电脑》 2021年第19期93-97,共5页 Information & Computer
基金 安徽省哲学社会科学规划项目(项目编号:AHSKF2018D37)。
关键词 三策略博弈模型 演化博弈 Smith动态 a three-strategy game evolutionary game Smith dynamics
作者简介 谢能刚(1971-),男,安徽当涂人,博士研究生,教授。研究方向:博弈论。
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