Abstract:
We present a literature review of Berge equilibrium (BE) in normal form static games. The review shows that research on BE has gained momentum in the last few years as this equilibrium is now grounded in game theory, philosophy and social interaction. It captures mutual support, cooperation and coordination, and models altruism and the moral Golden Rule in normal form games. Mathematical investigation of Berge equilibrium is advanced but not complete; more research is needed in the areas related to its existence and computation. Application of BE in real-world socio-economic interactions where players are mutually supportive is an almost unexplored area of research.
Keywords:
Berge equilibrium, mutual support, cooperation, Golden Rule, altruism, determination of BE, existence of BE, computation of BE.
\Bibitem{LarZhu17}
\by M.~Larbani, V.~I.~Zhukovskii
\paper Berge equilibrium in normal form static games: a literature review
\jour Izv. IMI UdGU
\yr 2017
\vol 49
\pages 80--110
\mathnet{http://mi.mathnet.ru/iimi340}
\crossref{https://doi.org/10.20537/2226-3594-2017-49-04}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000430169500004}
\elib{https://elibrary.ru/item.asp?id=29357387}
Linking options:
https://www.mathnet.ru/eng/iimi340
https://www.mathnet.ru/eng/iimi/v49/p80
This publication is cited in the following 13 articles:
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Leandro Chaves Rêgo, Yan Saraiva Cordeiro, “Matrix representations of berge stabilities in the graph model for conflict resolution”, Ann Oper Res, 332:1-3 (2024), 125
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Konstantin Kudryavtsev, Ustav Malkov, 2020 Ural Symposium on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), 2020, 0380
Konstantin Kudryavtsev, Ustav Malkov, Vladislav Zhukovskiy, Communications in Computer and Information Science, 1275, Mathematical Optimization Theory and Operations Research, 2020, 231
Mindia E. Salukvadze, Vladislav I. Zhukovskiy, Static & Dynamic Game Theory: Foundations & Applications, The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, 2020, 175
Konstantin Kudryavtsev, Viktor Ukhobotov, Vladislav Zhukovskiy, Communications in Computer and Information Science, 974, Optimization and Applications, 2019, 415
Jarosław Pykacz, Paweł Bytner, Piotr Frąckiewicz, “Example of a Finite Game with No Berge Equilibria at All”, Games, 10:1 (2019), 7
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