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JOURNALS // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta // Archive

Izv. IMI UdGU, 2017 Volume 49, Pages 80–110 (Mi iimi340)

This article is cited 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

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.

UDC: 517.958, 530.145.6

MSC: 93C15, 49N30, 49N35

Received: 01.02.2017

Language: English

DOI: 10.20537/2226-3594-2017-49-04



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