群体博弈与多目标群体博弈的逼近定理

Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (3): 913-920.

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Approximation Theorem of Population Games and Multi-objective Population Games

Wang Chun,Yang Hui^*(),GuangYang Hui,Wang Guoling

College of Mathematics and Statistics, Guizhou University, Guiyang 550025; Guizhou Provincial Key Laboratory for Games Decision-Making and Control Systems, Guiyang 550025

Received:2022-04-25 Revised:2023-02-12 Online:2023-06-26 Published:2023-06-01
Contact: Hui Yang E-mail:huiyang@gzu.edu.cn
Supported by:
NSFC(11271098);Guizhou Provincial Science and Technology Foundation([2019]1067);Educational Reform Foundation of Guizhou Procince(201908);Guizhou Provincial Science and Technology Projects(ZK[2022]General168)

Abstract

Abstract:

In population games and multi-objective population games, by perturbation of strategies, we relax rationality of agents further, which is represented by an approximate solution called approximate Nash equilibria and approximate weakly Pareto-Nash equilibria. And we prove their approximation theorem. They not only realistically weaken the condition of approximation theorem, but they also improve the theoretical support for the algorithm of population games.

Key words: Population games, Bounded rationality, Approximation theorem

CLC Number:

O225

Wang Chun,Yang Hui,GuangYang Hui,Wang Guoling. Approximation Theorem of Population Games and Multi-objective Population Games[J].Acta mathematica scientia,Series A, 2023, 43(3): 913-920.

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Approximation Theorem of Population Games and Multi-objective Population Games

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