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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 9, Pages 1576–1587 (Mi zvmmf9536)  
This article is cited in 8 scientific papers (total in 8 papers)

Extraproximal method for solving two-person saddle-point games

A. S. Antipina, L. A. Artem'evab, F. P. Vasil'evb

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992 Russia
Full-text PDF (710 kB) Citations (8)
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Abstract: An equilibrium model is proposed for a two-person saddle-point game with partially coincident or conflicting interests. Meaningful interpretations of such a game are discussed. Three variants of the extraproximal method for finding an equilibrium point are proposed, and their convergence is proved.
Key words: saddle point, two-person saddle-point game, equilibrium point, extraproximal method.
Received: 31.03.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 9, Pages 1472–1482
DOI: https://doi.org/10.1134/S0965542511090041
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Extraproximal method for solving two-person saddle-point games”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011), 1576–1587; Comput. Math. Math. Phys., 51:9 (2011), 1472–1482
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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