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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 13 scientific papers (total in 13 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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  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
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