Hadamard well-posedness of the α-core

被引：10
|
作者：
Yang, Zhe [1 ,2 ]
Meng, Dawen [1 ,2 ]
机构：
[1] Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China
[2] SUFE, Minist Educ, Key Lab Math Econ, Shanghai 200433, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 452卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hadamard well-posedness; alpha-Core; Abstract economy; Pseudocontinuity; Coalitionally C-secure game; Essential stability; ENDOGENOUS SHARING RULES; DISCONTINUOUS GAMES; ESSENTIAL STABILITY; EXISTENCE THEOREM; NASH EQUILIBRIUM; FORM GAMES; PURE;
D O I：
10.1016/j.jmaa.2017.03.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the continuity property of the alpha-core with respect to data perturbations in different environments. We show that some collections of abstract economies (or normal games) with the nonempty alpha-core have the Hadamard well-posedness property. We also show that the alpha-core points of every game in a (dense) residual subset are essential. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：957 / 969
页数：13
相关论文
共 50 条
  • [1] Hadamard well-posedness and stability in set optimization
    Gupta, Meenakshi
    Srivastava, Manjari
    POSITIVITY, 2024, 28 (01)
  • [2] Hadamard well-posedness and stability in set optimization
    Meenakshi Gupta
    Manjari Srivastava
    Positivity, 2024, 28
  • [3] Hadamard and strong well-posedness for convex programs
    Revalski, JP
    SIAM JOURNAL ON OPTIMIZATION, 1997, 7 (02) : 519 - 526
  • [4] On Hadamard well-posedness of families of Pareto optimization problems
    Gutierrez, Cesar
    Lopez, Ruben
    Novo, Vicente
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 444 (02) : 881 - 899
  • [5] Hadamard well-posedness of the gravity water waves system
    Quang-Huy Nguyen
    JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2016, 13 (04) : 791 - 820
  • [6] Hadamard well-posedness for a class of nonlinear shallow shell problems
    Cagnol, John
    Lasiecka, Irena
    Lebiedzik, Catherine
    Marchand, Richard
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (08) : 2452 - 2484
  • [7] Generalized Hadamard well-posedness for infinite vector optimization problems
    Peng, Z. Y.
    Long, X. J.
    Wang, X. F.
    Zhao, Y. B.
    OPTIMIZATION, 2017, 66 (10) : 1563 - 1575
  • [8] Hadamard well-posedness for a set-valued optimization problem
    Zeng, J.
    Li, S. J.
    Zhang, W. Y.
    Xue, X. W.
    OPTIMIZATION LETTERS, 2013, 7 (03) : 559 - 573
  • [9] CONSTRAINED MINIMUM PROBLEMS FOR PREORDERS - TIKHONOV AND HADAMARD WELL-POSEDNESS
    PATRONE, F
    REVALSKI, J
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1991, 5B (03): : 639 - 652
  • [10] Hadamard well-posedness for a set-valued optimization problem
    J. Zeng
    S. J. Li
    W. Y. Zhang
    X. W. Xue
    Optimization Letters, 2013, 7 : 559 - 573
12345