Ordering stability of Nash equilibria for a class of differential games

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-21 DOI:10.1515/math-2023-0132

Keke Jia, Shihuang Hong, Jieqing Yue

引用次数: 0

Abstract

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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一类微分对策纳什均衡的序稳定性

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.