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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2023, Volume 15, Issue 1, Pages 48–72
(Mi mgta317)
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This article is cited in 1 scientific paper (total in 1 paper)
Equilibrium in sequre strategies as a development of the concept of Nash equilibrium
Mikhail B. Iskakov, Aleksei B. Iskakov V.A. Trapeznikov Institute of Control Sciences of RAS
Abstract:
As its main goal, the paper defends the rationality of the concept of equilibrium in secure strategies (EinSS) and the organic proximity of the logic of this concept to the logic underlying the classical approach to solving game problems through Nash equilibrium. The article deals in detail with the system of EinSS definitions through the prism of the Nash equilibrium concept. On the basis of this analogy the connection between the existence of EinSS and the existence of Nash equilibrium is established.
Keywords:
equilibrium in secure strategies, Nash equilibrium, competitive deviations, noncompetitive deviations, rationality theory, existence theorems.
Received: 20.09.2022 Revised: 18.01.2023 Accepted: 20.03.2023
Citation:
Mikhail B. Iskakov, Aleksei B. Iskakov, “Equilibrium in sequre strategies as a development of the concept of Nash equilibrium”, Mat. Teor. Igr Pril., 15:1 (2023), 48–72
Linking options:
https://www.mathnet.ru/eng/mgta317 https://www.mathnet.ru/eng/mgta/v15/i1/p48
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Abstract page: | 111 | Full-text PDF : | 89 | References: | 27 |
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