演化博弈在资源配置中的应用

Li Zhi-jie
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引用次数: 0

摘要

由于用户的有限理性,资源配置不能直接达到完全理性下的纳什均衡。提出了一种基于进化博弈的资源分配策略,从动态角度研究用户群体的进化过程。利用复制动力学方法,提出了一种进化稳定的资源分配策略。特别讨论了不同条件下的演化稳定点、评价函数特征和复制动态图。结果表明,采用进化博弈方法,用户可以通过重复博弈不断学习和调整策略,达到进化稳定均衡,从而实现资源的最优配置。
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THE APPLICATION OF EVOLUTIONARY GAME IN RESOURCE ALLOCATION
Resource allocation could not arrive at Nash equilibrium directly as that under completed rationality, due to bounded rationality of users. A resource allocation strategy based on evolutionary game is proposed to investigate the evolutionary process of user colony from the dynamic viewpoint. Using the method of replicated dynamics, an evolutionary stable strategy is produced to allocate resource. In particular, the evolutionary stable point, evaluation function characteristics, and replicated dynamic diagrams are discussed under different conditions. The results show that using evolutionary game approach, users could study and adjust strategy constantly through repeated games to achieve evolutionary stable equilibrium, which leads to an optimal allocation of resource. 
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