A New Approach to Noncooperative Games Under Uncertainty

Vladislav Iosifovich Zhukovskiy (), Tatiana Vladimirovna Makarkina () and Maria Ivanovna Vysokos ()
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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

International Game Theory Review (IGTR), 2018, vol. 20, issue 01, 1-19

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.

Keywords: Nash equilibrium; Pareto minimality; guaranteed decisions (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0219198917500244

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