Existence of equilibrium solution for leader-follower games with fuzzy goals and parameters

被引：2
|
作者：
Liu, Zhenli [1 ]
Wang, Guoling [1 ]
Yang, Guanghui [1 ]
机构：
[1] Guizhou Univ, Coll Math & Stat, Guiyang 550025, Guizhou, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2023年 / 473卷
关键词：
Fuzzy set; Leader-follower game; alpha-FNS equilibrium; MULTIOBJECTIVE BIMATRIX GAMES; NONCOOPERATIVE GAME;
D O I：
10.1016/j.fss.2023.108731
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Firstly, we propose the model of single-leader-multi-follower games with fuzzy goals involving fuzzy parameters and introduce its alpha-FNS equilibrium. Next, we prove the existence of alpha-FNS equilibrium by Kakutani's fixed point theorem. Finally, we illustrate an example to show that the equilibrium existence result is reasonable.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Existence of Equilibrium Solution for Multi-Leader-Follower Games with Fuzzy Goals and Parameters
    Liu, Zhenli
    Wang, Guoling
    Yang, Guanghui
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 200 (02) : 585 - 601
  • [2] Existence of Equilibrium Solution for Multi-Leader–Follower Games with Fuzzy Goals and Parameters
    Zhenli Liu
    Guoling Wang
    Guanghui Yang
    [J]. Journal of Optimization Theory and Applications, 2024, 200 : 585 - 601
  • [3] SOLUTION OF SOME STOCHASTIC QUADRATIC NASH AND LEADER-FOLLOWER GAMES
    PAPAVASSILOPOULOS, GP
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1981, 19 (05) : 651 - 666
  • [4] Existence of robust weak Nash equilibria for leader-follower games with uncertainty
    Wang, Miao
    Yang, Guanghui
    Wang, Guoling
    Liu, Zhenli
    Wang, Chun
    [J]. ANNALS OF OPERATIONS RESEARCH, 2024,
  • [5] ALGORITHMS FOR LEADER-FOLLOWER GAMES.
    Papavassilopoulos, George P.
    [J]. Proceedings - Annual Allerton Conference on Communication, Control, and Computing, 1980, : 851 - 859
  • [6] Frustration, aggression, and anger in leader-follower games
    Battigalli, Pierpaolo
    Dufwenberg, Martin
    Smith, Alec
    [J]. GAMES AND ECONOMIC BEHAVIOR, 2019, 117 : 15 - 39
  • [7] A note on forward contracts in leader-follower games
    Bonacina, Monica
    Creti, Anna
    [J]. ECONOMICS BULLETIN, 2010, 30 (02): : 1539 - 1547
  • [8] An existence theorem for equilibrium points for multi-leader-follower games
    Yu, J.
    Wang, H. L.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1775 - 1777
  • [9] OPTIMAL INCENTIVE STRATEGY FOR LEADER-FOLLOWER GAMES
    LIU, XP
    ZHANG, SY
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (12) : 1957 - 1961
  • [10] Existence and well-posedness of equilibrium for multi-leader-follower games with fuzzy constraint mappings
    Shi, L.
    Yang, Y. L.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2024, 21 (04): : 49 - 59
12345