一类微分对策纳什均衡的序稳定性

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2023-11-21 DOI:10.1515/math-2023-0132

Keke Jia, Shihuang Hong, Jieqing Yue

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引用次数: 0

摘要

研究一类n n人非合作微分对策的纳什均衡的稳定性。更准确地说，由于凸锥在实线性赋范空间上的预序性，我们定义了微分对策在状态方程右侧函数扰动下平衡点的有序稳定性。利用集值分析理论，给出了这类微分对策序稳定的充分条件。

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Ordering stability of Nash equilibria for a class of differential games

This study is concerned with the stability of Nash equilibria for a class of

-person noncooperative differential games. More precisely, due to a preorder induced by a convex cone on a real linear normed space, we define a new concept called ordering stability of equilibria against the perturbation of the right-hand side functions of state equations for the differential game. Moreover, using the set-valued analysis theory, we present the sufficient conditions of the ordering stability for such differential games.

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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: