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Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 12, Pages 2143–2157 (Mi zvmmf9583)  

This article is cited in 5 scientific papers (total in 5 papers)

Extragradient method for searching for an equilibrium point in two-person saddle-point games

L. A. Artem'eva

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992 Russia

Abstract: A two-person saddle-point game with partially coincident or conflicting interests is examined. An extragradient method with prediction for finding an equilibrium point is proposed. Three variants of this method are discussed, and their convergence is studied.

Key words: saddle point, saddle-point game, saddle-point mapping, equilibrium point, fixed point, extragradient method.

Full text: PDF file (307 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2011, 51:12, 2017–2030

Bibliographic databases:

UDC: 519.658.4
Received: 17.06.2011

Citation: L. A. Artem'eva, “Extragradient method for searching for an equilibrium point in two-person saddle-point games”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2143–2157; Comput. Math. Math. Phys., 51:12 (2011), 2017–2030

Citation in format AMSBIB
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\pages 2143--2157
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\pages 2017--2030
\crossref{https://doi.org/10.1134/S0965542511120050}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. L. A. Artem'eva, “Regularized extragradient method for searching for an equilibrium point in two-person saddle-point games”, Comput. Math. Math. Phys., 52:4 (2012), 495–511  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib
    2. A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Regularized extraproximal method for finding equilibrium points in two-person saddle-point games”, Comput. Math. Math. Phys., 52:7 (2012), 1007–1016  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib
    3. Vasilyev F.P. Antipin A.S. Artemyeva L.A., “Regularization Method for Searching for an Equilibrium Point in Two-Person Saddle-Point Games with Approximate Input Data”, Dokl. Math., 89:1 (2014), 49–53  crossref  mathscinet  zmath  isi  elib  scopus
    4. F. P. Vasil'ev, A. S. Antipin, L. A. Artem'eva, “Extragradient method for finding a saddle point in a multicriteria problem with dynamics”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 203–210  mathnet  crossref  crossref  mathscinet  isi  elib
    5. A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Extragradient method for solving an optimal control problem with implicitly specified boundary conditions”, Comput. Math. Math. Phys., 57:1 (2017), 64–70  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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