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Bulletin of Irkutsk State University. Series Mathematics, 2021 Volume 36, Pages 3–13 (Mi iigum448)

This article is cited in 5 papers

Dynamic systems and optimal control

A note on anti-Berge equilibrium for bimatrix game

R. Enkhbat

Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, Ulaanbaatar, Mongolia

Abstract: We introduce a new concept of equilibrium based on Nash and Berge equilibriums. This equilibrium is called Anti-Berge equilibrium. We prove an existence of Anti-Berge equilibrium in the game. Based on Mills theorem [9], we reduce finding Anti-Berge equilibrium to a quadratic programming problem with linear constraints. The proposed approach has been illustrated on an example.

Keywords: Berge equilibrium, optimization, bimatrix game, Anti-Berge equlibrium.

UDC: 519.832

MSC: 91A05, 91A10

Received: 17.02.2021

Language: English

DOI: 10.26516/1997-7670.2021.36.3



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