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This article is cited in 5 scientific papers (total 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.
Received: 17.02.2021
Citation:
R. Enkhbat, “A note on anti-Berge equilibrium for bimatrix game”, Bulletin of Irkutsk State University. Series Mathematics, 36 (2021), 3–13
Linking options:
https://www.mathnet.ru/eng/iigum448 https://www.mathnet.ru/eng/iigum/v36/p3
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