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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 6, Pages 983–997 (Mi zvmmf637)  
This article is cited in 12 scientific papers (total in 12 papers)

Numerical search for equilibria in bimatrix games

A. V. Orlov, A. S. Strekalovskii

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (2251 kB) Citations (12)
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Abstract: Numerical search for Nash equilibria in a bimatrix game is analyzed by applying the variational approach. To solve an associated nonconvex mathematical programming problem, a modified global search algorithm is proposed that is based on global optimality conditions for this problem. The efficiency of the algorithm is demonstrated by numerical results.
Key words: bimatrix games, Nash equilibrium point, global search algorithm, bilinear problems of mathematical programming.
Received: 27.12.2004
Bibliographic databases:
Document Type: Article
UDC: 519.6:519.833.2
Language: Russian
Citation: A. V. Orlov, A. S. Strekalovskii, “Numerical search for equilibria in bimatrix games”, Zh. Vychisl. Mat. Mat. Fiz., 45:6 (2005), 983–997; Comput. Math. Math. Phys., 45:6 (2005), 947–960
Citation in format AMSBIB
\Bibitem{OrlStr05}
\by A.~V.~Orlov, A.~S.~Strekalovskii
\paper Numerical search for equilibria in bimatrix games
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 6
\pages 983--997
\mathnet{http://mi.mathnet.ru/zvmmf637}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2193415}
\zmath{https://zbmath.org/?q=an:1086.91006}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 6
\pages 947--960
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  • https://www.mathnet.ru/eng/zvmmf/v45/i6/p983
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:65
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