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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, Volume 7, Issue 1, Pages 74–91 (Mi mgta153)  
This article is cited in 12 scientific papers (total in 12 papers)

Pareto-equilibrium strategy profile

Vladislav I. Zhukovskiya, Konstantin N. Kudryavtsevb

a Moscow State University
b South Ural State University
Full-text PDF (481 kB) Citations (12)
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Abstract: In the article the strategy profiles that are the Pareto-optimal the Nash equilibriums are considered. Sufficient conditions for existence of the equilibrium for the pure strategies are found. These conditions use the Germier convolutions of the utility functions. For non-cooperative games with compact strategy sets and with continuous utility functions existence of the Pareto-optimal Nash equilibriums in mixed strategies is proved.
Keywords: non-cooperative game, mixed strategies, Nash equilibrium, Pareto optimums.
English version:
Automation and Remote Control, 2016, Volume 77, Issue 8, Pages 1500–1510
DOI: https://doi.org/10.1134/S0005117916080154
Bibliographic databases:
Document Type: Article
UDC: 519.833
MSC: 22.18
Language: Russian
Citation: Vladislav I. Zhukovskiy, Konstantin N. Kudryavtsev, “Pareto-equilibrium strategy profile”, Mat. Teor. Igr Pril., 7:1 (2015), 74–91; Autom. Remote Control, 77:8 (2016), 1500–1510
Citation in format AMSBIB
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\by Vladislav~I.~Zhukovskiy, Konstantin~N.~Kudryavtsev
\paper Pareto-equilibrium strategy profile
\jour Mat. Teor. Igr Pril.
\yr 2015
\vol 7
\issue 1
\pages 74--91
\mathnet{http://mi.mathnet.ru/mgta153}
\transl
\jour Autom. Remote Control
\yr 2016
\vol 77
\issue 8
\pages 1500--1510
\crossref{https://doi.org/10.1134/S0005117916080154}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382146700015}
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  • https://www.mathnet.ru/eng/mgta/v7/i1/p74
    • This publication is cited in the following 12 articles:
    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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