Weak Berge Equilibrium in Finite Three-person Games: Conception and Computation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-12-17 DOI:10.1515/comp-2020-0210

K. Kudryavtsev, U. Malkov

引用次数: 0

Abstract

Abstract The paper proposes the concept of a weak Berge equilibrium. Unlike the Berge equilibrium, the moral basis of this equilibrium is the Hippocratic Oath “First do no harm”. On the other hand, any Berge equilibrium is a weak Berge equilibrium. But, there are weak Berge equilibria, which are not the Berge equilibria. The properties of the weak Berge equilibrium have been investigated. The existence of the weak Berge equilibrium in mixed strategies has been established for finite games. The weak Berge equilibria for finite three-person non-cooperative games are computed.

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有限三人对策中的弱Berge平衡：概念与计算

摘要提出了弱Berge均衡的概念。与Berge均衡不同，这种均衡的道德基础是希波克拉底誓言“首先不伤害”。另一方面，任何贝尔热均衡都是弱贝尔热均衡。但也有弱贝尔热均衡，不是贝尔热均衡。研究了弱Berge平衡的性质。证明了有限对策下混合策略弱Berge均衡的存在性。计算了有限三人非合作对策的弱Berge均衡。

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.