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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, Volume 7, Issue 3, Pages 16–47 (Mi mgta162)  
This article is cited in 17 scientific papers (total in 17 papers)

Mathematical foundations of the Golden Rule. I. Static variant

Vladislav I. Zhukovskiya, Konstantin N. Kudryavtsevb

a Moscow State University
b South Ural State University
Full-text PDF (638 kB) Citations (17)
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Abstract: The Berge equilibrium concept was suggested by Russian mathematician K. Vaisman in 1994. In the presented paper, we offer to use this concept as a mathematical model of the Golden Rule. The Berge–Pareto equilibrium is formalized, sufficient conditions for the existence of the equilibrium are found. For mixed strategies, the existence of the equilibrium is proved.
Keywords: non-cooperative game, Berge equilibrium, Pareto maximum.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-90408 Укр_а
National Academy of Sciences of Ukraine 03-01-14
English version:
Automation and Remote Control, 2017, Volume 78, Issue 10, Pages 1920–1940
DOI: https://doi.org/10.1134/S0005117917100149
Document Type: Article
UDC: 519.833
BBC: 91АД, 49Л35
Language: Russian
Citation: Vladislav I. Zhukovskiy, Konstantin N. Kudryavtsev, “Mathematical foundations of the Golden Rule. I. Static variant”, Mat. Teor. Igr Pril., 7:3 (2015), 16–47; Autom. Remote Control, 78:10 (2017), 1920–1940
Citation in format AMSBIB
\Bibitem{ZhuKud15}
\by Vladislav~I.~Zhukovskiy, Konstantin~N.~Kudryavtsev
\paper Mathematical foundations of the Golden Rule. I. Static variant
\jour Mat. Teor. Igr Pril.
\yr 2015
\vol 7
\issue 3
\pages 16--47
\mathnet{http://mi.mathnet.ru/mgta162}
\transl
\jour Autom. Remote Control
\yr 2017
\vol 78
\issue 10
\pages 1920--1940
\crossref{https://doi.org/10.1134/S0005117917100149}
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    Cycle of papers
    This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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