有限理性与一类群体博弈弱有效Nash均衡的稳定性

Abstract

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.

CLC Number:

O225

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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References 20

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Bounded Rationality and Stability of Weakly Efficient Nash Equilibria for a Class of Population Games

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