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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2017, Volume 49, Pages 80–110
DOI: https://doi.org/10.20537/2226-3594-2017-49-04
(Mi iimi340)
 

This article is cited in 12 scientific papers (total in 12 papers)

Berge equilibrium in normal form static games: a literature review

M. Larbania, V. I. Zhukovskiib

a International Islamic University Malaysia, Kuala Lumpur, 53100, Malaysia
b Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow, 119991, Russia
References:
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.
Received: 01.02.2017
Bibliographic databases:
Document Type: Article
UDC: 517.958, 530.145.6
MSC: 93C15, 49N30, 49N35
Language: English
Citation: M. Larbani, V. I. Zhukovskii, “Berge equilibrium in normal form static games: a literature review”, Izv. IMI UdGU, 49 (2017), 80–110
Citation in format AMSBIB
\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}
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  • https://www.mathnet.ru/eng/iimi/v49/p80
  • This publication is cited in the following articles:
    1. Konstantin Kudryavtsev, Viktor Ukhobotov, Vladislav Zhukovskiy, Communications in Computer and Information Science, 974, Optimization and Applications, 2019, 415  crossref
    2. Jarosław Pykacz, Paweł Bytner, Piotr Frąckiewicz, “Example of a Finite Game with No Berge Equilibria at All”, Games, 10:1 (2019), 7  crossref
    3. V. I. Zhukovskiy, L. V. Zhukovskaya, K. N. Kudryavtsev, M. Larbani, “Strong coalitional equilibria in games under uncertainty”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 30:2 (2020), 189–207  mathnet  crossref
    4. V. I. Zhukovskiy, A. S. Gorbatov, K. N. Kudryavtsev, “Berge and Nash Equilibria in a Linear-Quadratic Differential Game”, Autom Remote Control, 81:11 (2020), 2108  crossref
    5. 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, 61  crossref
    6. Konstantin Kudryavtsev, Ustav Malkov, 2020 Ural Symposium on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), 2020, 0380  crossref
    7. Konstantin Kudryavtsev, Ustav Malkov, Vladislav Zhukovskiy, Communications in Computer and Information Science, 1275, Mathematical Optimization Theory and Operations Research, 2020, 231  crossref
    8. 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  crossref
    9. Vladimir Mazalov, Elena Parilina, Jiangjing Zhou, Lecture Notes in Computer Science, 12755, Mathematical Optimization Theory and Operations Research, 2021, 326  crossref
    10. Konstantin Kudryavtsev, Ustav Malkov, “Weak Berge Equilibrium in Finite Three-person Games: Conception and Computation”, Open Computer Science, 11:1 (2021), 127  crossref
    11. A. Zapata, A. M. Mármol, L. Monroy, “Berge equilibria and the equilibria of the altruistic game”, TOP, 32:1 (2024), 83  crossref
    12. 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  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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