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A New Approach to Noncooperative Games Under Uncertainty

Author

Listed:
  • Vladislav Iosifovich Zhukovskiy

    (Faculty of Computational Mathematics and Cybernetics, M.V. Lomonosov Moscow State University, Leninskie Gory, Moscow 119991, Russia)

  • Tatiana Vladimirovna Makarkina

    (Faculty of Informatics, State Humanitarian-Technological University, 22, Zelenaya street, Orekhovo-Zuevo, Moscow 142600, Russia)

  • Maria Ivanovna Vysokos

    (Faculty of Informatics, State Humanitarian-Technological University, 22, Zelenaya street, Orekhovo-Zuevo, Moscow 142600, Russia)

Abstract

The novelty of the approach presented in this paper is that each player of a conflict seeks not only to increase his payoff, but also to reduce his risk, taking into account a possible realization of any uncertainty from a given admissible set. A new concept, the so-called strongly guaranteed Nash equilibrium in payoffs and risks, is introduced and its existence in mixed strategies is proved under standard constraints for noncooperative games, i.e., compact sets of players’ strategies and continuous payoff functions.

Suggested Citation

  • Vladislav Iosifovich Zhukovskiy & Tatiana Vladimirovna Makarkina & Maria Ivanovna Vysokos, 2018. "A New Approach to Noncooperative Games Under Uncertainty," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-19, March.
    • Handle: RePEc:wsi:igtrxx:v:20:y:2018:i:01:n:s0219198917500244
    DOI: 10.1142/S0219198917500244
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