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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2023 Volume 15, Issue 1, Pages 48–72 (Mi mgta317)

This article is cited 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.

UDC: 518.83
BBK: 185.1

Received: 20.09.2022
Revised: 18.01.2023
Accepted: 20.03.2023



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© Steklov Math. Inst. of RAS, 2026