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Contributions to Game Theory and Management, 2019, Volume 12, Pages 100–112 (Mi cgtm337)  
A note on four-players triple game

Rentsen Enkhbata, Sukhee Batbilegb, Anton Anikinc, Natsagdorj Tungalaga, Alexander Gornovc

a National University of Mongolia, School of Business, Ikh toiruu-4, Ulaanbaatar, Mongolia
b National University of Mongolia, School of Engineering and Applied Sciences, Ikh Surguuliin-1 P.O.BOX-46A/523, 14201, Ulaanbaatar, Mongolia
c Matrosov Institute for System Dynamics and Control, Theory of Siberian Branch of Russian Academy of Sciences, Russia, 664033, Irkutsk, Lermontova st., 134
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Abstract: 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.
Funding agency Grant number
National University of Mongolia P2018-3588
This work was under the project P2018-3588 of National University of Mongolia.
Document Type: Article
Language: English
Citation: Rentsen Enkhbat, Sukhee Batbileg, Anton Anikin, Natsagdorj Tungalag, Alexander Gornov, “A note on four-players triple game”, Contributions to Game Theory and Management, 12 (2019), 100–112
Citation in format AMSBIB
\Bibitem{EnkBatAni19}
\by Rentsen~Enkhbat, Sukhee~Batbileg, Anton~Anikin, Natsagdorj~Tungalag, Alexander~Gornov
\paper A note on four-players triple game
\jour Contributions to Game Theory and Management
\yr 2019
\vol 12
\pages 100--112
\mathnet{http://mi.mathnet.ru/cgtm337}
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