Geodesic
A note on anti-Berge equilibrium for bimatrix game
The Bulletin of Irkutsk State University. Series Mathematics, Tome 36 (2021), pp. 3-13

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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
Mots-clés : bimatrix game, Anti-Berge equlibrium. 
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     author = {R. Enkhbat},
     title = {A note on {anti-Berge} equilibrium for bimatrix game},
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R. Enkhbat. A note on anti-Berge equilibrium for bimatrix game. The Bulletin of Irkutsk State University. Series Mathematics, Tome 36 (2021), pp. 3-13. http://geodesic.mathdoc.fr/item/IIGUM_2021_36_a0/