Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 9, Pages 1576–1587 (Mi zvmmf9536)  

This article is cited in 7 scientific papers (total in 7 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

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.

Full text: PDF file (710 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2011, 51:9, 1472–1482

Bibliographic databases:

UDC: 519.626
Received: 31.03.2011

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
\Bibitem{AntArtVas11}
\by A.~S.~Antipin, L.~A.~Artem'eva, F.~P.~Vasil'ev
\paper Extraproximal method for solving two-person saddle-point games
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2011
\vol 51
\issue 9
\pages 1576--1587
\mathnet{http://mi.mathnet.ru/zvmmf9536}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2907138}
\transl
\jour Comput. Math. Math. Phys.
\yr 2011
\vol 51
\issue 9
\pages 1472--1482
\crossref{https://doi.org/10.1134/S0965542511090041}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000297344500002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052870726}


Linking options:
  • http://mi.mathnet.ru/eng/zvmmf9536
  • http://mi.mathnet.ru/eng/zvmmf/v51/i9/p1576

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    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, “Extragradient method for searching for an equilibrium point in two-person saddle-point games”, Comput. Math. Math. Phys., 51:12 (2011), 2017–2030  mathnet  crossref  mathscinet  isi
    2. 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
    3. 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
    4. L. A. Artem'eva, “Regularized differential extragradient method for searching for an equilibrium point in two-person saddle-point games with approximate input data”, Comput. Math. Math. Phys., 52:9 (2012), 1203–1220  mathnet  crossref  mathscinet  isi  elib  elib
    5. Vasilev F.P., Antipin A.S., Artemeva L.A., “Regulyarizovannyi differentsialnyi ekstraproksimalnyi metod poiska tochki ravnovesiya v sedlovykh igrakh dvukh lits”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 13:1 (2012), 149–160  mathnet  elib
    6. 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
    7. Lyashko S.I. Semenov V.V., “A New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium Programming”, Optimization and Its Applications in Control and Data Sciences: in Honor of Boris T. Polyak'S 80Th Birthday, Springer Optimization and Its Applications, 115, ed. Goldengorin B., Springer International Publishing Ag, 2016, 315–325  crossref  mathscinet  zmath  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Number of views:
    This page:299
    Full text:73
    References:36
    First page:12

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021