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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2023, Volume 15, Issue 1, Pages 48–72 (Mi mgta317)  

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
Full-text PDF (377 kB) Citations (1)
References:
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
Bibliographic databases:
Document Type: Article
UDC: 518.83
BBC: 185.1
Language: Russian
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
Citation in format AMSBIB
\Bibitem{IskIsk23}
\by Mikhail~B.~Iskakov, Aleksei~B.~Iskakov
\paper Equilibrium in sequre strategies as a development of the concept of Nash equilibrium
\jour Mat. Teor. Igr Pril.
\yr 2023
\vol 15
\issue 1
\pages 48--72
\mathnet{http://mi.mathnet.ru/mgta317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4575349}
Linking options:
  • https://www.mathnet.ru/eng/mgta317
  • https://www.mathnet.ru/eng/mgta/v15/i1/p48
  • This publication is cited in the following 1 articles:
    1. M. B. Iskakov, A. B. Iskakov, “Teorema suschestvovaniya ravnovesiya v bezopasnykh strategiyakh po Reni”, UBS, 111 (2024), 6–65  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическая теория игр и её приложения
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    Abstract page:111
    Full-text PDF :89
    References:27
     
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