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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 11, Pages 2001–2008 (Mi zvmmf381)  
This article is cited in 2 scientific papers (total in 2 papers)

Reductions of interval noncooperative games

L. T. Ashchepkov, D. V. Davydov

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
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Abstract: Noncooperative games of a finite number of persons with interval-valued payoff functions are considered. The concept of an equilibrium situation is introduced. A reduction of such games to deterministic noncooperative games is proposed. Properties of the reduced games are discussed. Interval antagonistic and bimatrix games are examined, and illustrative examples are considered.
Key words: interval noncooperative games, interval-valued payoff functions, equilibrium situation, reduction to deterministic noncooperative games, interval bimatrix games.
Received: 20.03.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 11, Pages 1910–1917
DOI: https://doi.org/10.1134/S0965542506110078
Bibliographic databases:
Document Type: Article
UDC: 519.626:519.833
Language: Russian
Citation: L. T. Ashchepkov, D. V. Davydov, “Reductions of interval noncooperative games”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006), 2001–2008; Comput. Math. Math. Phys., 46:11 (2006), 1910–1917
Citation in format AMSBIB
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\by L.~T.~Ashchepkov, D.~V.~Davydov
\paper Reductions of interval noncooperative games
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 11
\pages 2001--2008
\mathnet{http://mi.mathnet.ru/zvmmf381}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304072}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 11
\pages 1910--1917
\crossref{https://doi.org/10.1134/S0965542506110078}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845337092}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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