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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 7, Pages 1258–1264 (Mi zvmmf444)  

This article is cited in 11 scientific papers (total in 11 papers)

Measure of stability for a finite cooperative game with a parametric optimality principle (from Pareto to Nash)

S. E. Bukhtoyarov, V. A. Emelichev

Belarussian State University, pr. F. Skoriny 4, Minsk, 220050, Belarus
References:
Abstract: A finite cooperative game in normal form is considered. Its optimality principle is specified with the help of a parameter such that Pareto optimality and Nash equilibrium correspond to two extreme parameter values. The limiting level of perturbations in the coefficients of payoff functions that do not give rise to new efficient situations is studied.
Key words: cooperative game, Pareto optimality, Nash equilibrium, stability radius.
Received: 21.02.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 7, Pages 1193–1199
DOI: https://doi.org/10.1134/S0965542506070104
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: S. E. Bukhtoyarov, V. A. Emelichev, “Measure of stability for a finite cooperative game with a parametric optimality principle (from Pareto to Nash)”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006), 1258–1264; Comput. Math. Math. Phys., 46:7 (2006), 1193–1199
Citation in format AMSBIB
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\by S.~E.~Bukhtoyarov, V.~A.~Emelichev
\paper Measure of stability for a~finite cooperative game with a~parametric optimality principle (from Pareto to Nash)
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 7
\pages 1258--1264
\mathnet{http://mi.mathnet.ru/zvmmf444}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500582}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 7
\pages 1193--1199
\crossref{https://doi.org/10.1134/S0965542506070104}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746779990}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i7/p1258
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :132
    References:30
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