A Note on Four-Players Triple Game

Authors

  • Rentsen Enkhbat National University of Mongolia
  • Sukhee Batbileg National University of Mongolia
  • Anton Anikin Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
  • Natsagdorj Tungalag National University of Mongolia

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

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References

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DATA https://www.dropbox.com/sh/sd84lbisy5vtifn/AAB2PNVWONtK56egStv8c-Vea?dl=0

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Published

2022-02-16

How to Cite

Enkhbat, R., Batbileg, S., Anikin, A., & Tungalag, N. (2022). A Note on Four-Players Triple Game. Contributions to Game Theory and Management, 12. Retrieved from https://gametheory.spbu.ru/article/view/12893

Issue

Vol. 12 (2019)

Section

Articles

License

Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.