有限理性与一类群体博弈弱有效Nash均衡的稳定性

摘要/Abstract

摘要：

该文引入了一个参与人具有无限个目标的群体博弈模型, 并且定义了它的弱有效Nash均衡的概念, 进一步又证明了该弱有效Nash均衡的存在性, 最后构造了一个有限理性模型研究了有限理性下该弱有效Nash均衡的稳定性.

关键词: 群体博弈, 无限个目标, 弱有效Nash均衡, 有限理性, 稳定性

Abstract:

In this paper, we first introduce the model of population games with infinitely many criteria, and introduce the notion of weakly efficient Nash equilibria for the infinite-objective population games. Furthermore, we provide existence theorem of weakly efficient Nash equilibria. Finally, by constructing the model of bounded rationality, we study the stability of weakly efficient Nash equilibria under the bounded rationality.

Key words: Population games, Infinitely many criteria, Weakly efficient Nash equilibria, Bounded rationality, Stability.

中图分类号:

O225

张海群. 有限理性与一类群体博弈弱有效Nash均衡的稳定性[J]. 数学物理学报, 2023, 43(4): 1311-1320.

Zhang Haiqun. Bounded Rationality and Stability of Weakly Efficient Nash Equilibria for a Class of Population Games[J]. Acta mathematica scientia,Series A, 2023, 43(4): 1311-1320.

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