Geodesic
A note on four-players triple game
Contributions to game theory and management, Tome 12 (2019), pp. 100-112

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We introduce so-called four-players triple game and define Nash equilibrium. The problem of numerical finding of a Nash equilibrium in a four-players triple game has been examined. Such a game can be completely described by twelve matrices, and it turns out to be equivalent to the solving a nonconvex optimization problem. Special methods of local and global search for the optimization problem are proposed. The proposed algorithm was implemented on test problems by "GAMUT" (http://gamut.stanford.edu).
Keywords: nonconvex optimization, four-players triple game, local and global search algorithm, Nash equilibrium. 
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     author = {Rentsen Enkhbat and Sukhee Batbileg and Anton Anikin and Natsagdorj Tungalag and Alexander Gornov},
     title = {A note on four-players triple game},
     journal = {Contributions to game theory and management},
     pages = {100--112},
     publisher = {mathdoc},
     volume = {12},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2019_12_a4/}
}
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Rentsen Enkhbat; Sukhee Batbileg; Anton Anikin; Natsagdorj Tungalag; Alexander Gornov. A note on four-players triple game. Contributions to game theory and management, Tome 12 (2019), pp. 100-112. http://geodesic.mathdoc.fr/item/CGTM_2019_12_a4/