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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2022, Volume 14, Issue 2, Pages 64–75
(Mi mgta302)
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This article is cited in 1 scientific paper (total in 1 paper)
Choice of mixed strategy in matrix game with nature by Hurwitz criterion
Stepan Yu. Ponomareva, Alexandr B. Khutoretskiib a National Research University ''Higher School of Economics''
b Novosibirsk National Research University
Abstract:
The article solves the problem of choosing an optimal, by the Hurwitz criterion, mixed strategy for arbitrary matrix game against nature. We reduce the problem to solving $n$ linear programming problems (where $n$ is the number of scenarios). As far as we know, this is a new result. It can be used to make decisions in uncertain environments, if the game situation is repeated many times, or physical mixture of pure strategies is realizable.
Keywords:
uncertainty, decision making, game against nature, Hurwitz criterion, mixed strategy, linear programming.
Received: 13.11.2021 Revised: 22.02.2022 Accepted: 16.05.2022
Citation:
Stepan Yu. Ponomarev, Alexandr B. Khutoretskii, “Choice of mixed strategy in matrix game with nature by Hurwitz criterion”, Mat. Teor. Igr Pril., 14:2 (2022), 64–75
Linking options:
https://www.mathnet.ru/eng/mgta302 https://www.mathnet.ru/eng/mgta/v14/i2/p64
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Statistics & downloads: |
Abstract page: | 90 | Full-text PDF : | 126 | References: | 21 |
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