Equilibrium in Secure Strategies As a Development of the Concept of Nash Equilibrium

As its main goal, the article advocates 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-theory problems through Nash equilibrium. The article examines in d...

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Published inDoklady. Mathematics Vol. 108; no. Suppl 1; pp. S66 - S74
Main Authors Iskakov, M. B., Iskakov, A. B.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2023
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
existence theorems
Nash equilibrium
equilibrium in secure strategies
rationality theory
competitive deviations
noncompetitive deviations
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Summary:As its main goal, the article advocates 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-theory problems through Nash equilibrium. The article examines in detail the system of EinSS definitions through the prism of the Nash equilibrium concept. Based on this analogy, the connection between the existence of EinSS and the existence of a Nash equilibrium is established.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562423600744