A note on stability for parametric equilibrium problems

被引:67
|
作者
Bianchi, M
Pini, R
机构
[1] Univ Cattolica Sacro Cuore, Ist Econometria & Matemat Applicaz Econ Finanziar, I-20123 Milan, Italy
[2] Univ Milano Bicocca, Dipartimento Metodi Quantitat Econ, I-20126 Milan, Italy
关键词
parametric equilibrium problems; regularity of the solution map;
D O I
10.1016/S0167-6377(03)00051-8
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper we consider equilibrium problems in vector metric spaces where the function f and the set K are perturbed by the parameters epsilon, eta. We study the stability of the solutions, providing some results in the peculiar framework of generalized monotone functions, first in the particular case where K is fixed, then under both data perturbation. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:445 / 450
页数:6
相关论文
共 50 条
  • [21] Some regularities for parametric equilibrium problems
    M. Bogdan
    J. Kolumbán
    [J]. Journal of Global Optimization, 2009, 44 : 481 - 492
  • [22] STABILITY ON PARAMETRIC STRONG SYMMETRIC QUASI-EQUILIBRIUM PROBLEMS VIA NONLINEAR SCALARIZATION
    Peng, Zai-Yun
    Wang, Jing-Jing
    Zhao, Yong
    Liang, Ren-Li
    [J]. JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, 6 (04): : 393 - 406
  • [23] A Note on Fenchel Duality for Equilibrium Problems
    Bianchi, Monica
    Pini, Rita
    [J]. MINIMAX THEORY AND ITS APPLICATIONS, 2023, 8 (02): : 409 - 422
  • [24] A note on quasi-equilibrium problems
    Cotrina, John
    Zuniga, Javier
    [J]. OPERATIONS RESEARCH LETTERS, 2018, 46 (01) : 138 - 140
  • [25] Continuity of Solution Maps to Parametric Set Optimization Problems via Parametric Equilibrium Problems
    Lam Quoc Anh
    Nguyen Huu Danh
    Tran Ngoc Tam
    [J]. ACTA MATHEMATICA VIETNAMICA, 2020, 45 (02) : 383 - 395
  • [26] Continuity of Solution Maps to Parametric Set Optimization Problems via Parametric Equilibrium Problems
    Lam Quoc Anh
    Nguyen Huu Danh
    Tran Ngoc Tam
    [J]. Acta Mathematica Vietnamica, 2020, 45 : 383 - 395
  • [27] A note on evolutionary stability of Bertrand equilibrium
    Burkhard Hehenkamp
    Wolfgang Leininger
    [J]. Journal of Evolutionary Economics, 1999, 9 : 367 - 371
  • [28] A note on evolutionary stability of Bertrand equilibrium
    Hehenkamp, B
    Leininger, W
    [J]. JOURNAL OF EVOLUTIONARY ECONOMICS, 1999, 9 (03) : 367 - 371
  • [29] STABILITY OF FULL EMPLOYMENT EQUILIBRIUM - NOTE
    FREVERT, P
    [J]. REVIEW OF ECONOMIC STUDIES, 1971, 38 (114): : 269 - 270
  • [30] A note on the structural stability of the equilibrium manifold
    Loi, Andrea
    Matta, Stefano
    [J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2010, 46 (04) : 591 - 594