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

被引:2
作者
Artem'eva, L. A. [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia
基金
俄罗斯基础研究基金会;
关键词
saddle point; equilibrium point; extragradient method; regularization method; regularizing operator;
D O I
10.1134/S0965542512040033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A two-person saddle-point game with approximately given input data is examined. Since, in games of this type, the search for an equilibrium point is unstable with respect to perturbations in the input data, two variants of the regularized extragradient method are proposed. Their convergence is analyzed, and a regularizing operator is constructed.
引用
收藏
页码:495 / 511
页数:17
相关论文
共 13 条
  • [1] [Anonymous], 1977, NEW YORK
  • [2] [Anonymous], 1995, Nonlinear Ill-Posed Problems
  • [3] [Anonymous], 1986, SOLUTIONS ILL POSED
  • [4] Extraproximal Method for Solving Two-Person Saddle-Point Games
    Antipin, A. S.
    Artem'eva, L. A.
    Vasil'ev, F. P.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (09) : 1472 - 1482
  • [5] [Антипин Анатолий Сергеевич Antipin A.S.], 2009, [Известия Иркутского государственного университета. Серия: Математика, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya: Matematika], V2, P8
  • [6] Equilibrium model of a credit market: Statement of the problem and solution methods
    Antipin, A. S.
    Popova, O. A.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2009, 49 (03) : 450 - 465
  • [7] METHODS OF SOLVING SYSTEMS OF CONVEX-PROGRAMMING PROBLEMS
    ANTIPIN, AS
    [J]. USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1987, 27 (3-4): : 30 - 35
  • [8] Extragradient method for searching for an equilibrium point in two-person saddle-point games
    Artem'eva, L. A.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (12) : 2017 - 2030
  • [9] Bakushinskii A., 1989, Iterative Methods for the Solution of Incorrect Problems
  • [10] Tikhonov A. N., 1997, NONLINEAR ILL POSED