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A Note on Four-Players Triple Game

Авторы: Enkhbat R., Batbileg S., Anikin A., Tungalag N., Gornov A.

Журнал: Contributions to Game Theory and Management

Том: 12

Номер:

Год: 2019

Отчётный год: 2019

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Аннотация: 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).

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