A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory

被引：0
|
作者：
Berenguer, Maria Isabel [1 ]
Gamez, Domingo [1 ]
Garralda-Guillem, Ana Isabel [1 ]
Galan, Manuel Ruiz [1 ]
机构：
[1] Univ Granada, Inst Math IMAG, Dept Appl Math, ETS Ingn Edificac, Granada 18071, Spain
来源：
AXIOMS | 2023年 / 12卷 / 07期
关键词：
equilibrium problems; game theory; minimax inequalities; MINIMAX INEQUALITY; FIXED-POINT; EXISTENCE; CONVEXITY; PRINCIPLE;
D O I：
10.3390/axioms12070666
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We state a characterization of the existence of equilibrium in terms of certain finite subsets under compactness and transfer upper semicontinuity conditions. In order to derive some consequences on game theory-Nash equilibrium and minimax inequalities-we introduce a weak convexity concept.
引用
收藏
页数：12
相关论文
共 50 条
  • [41] Evolutionary game theory model and its application in the credit market
    Mao, Qili
    BioTechnology: An Indian Journal, 2014, 10 (07) : 2239 - 2244
  • [42] Introduction to game theory and its application in electric power markets
    Singh, H
    IEEE COMPUTER APPLICATIONS IN POWER, 1999, 12 (04): : 18 - +
  • [43] Game Refinement Theory and Its Application to Score Limit Games
    Nossal, Nathan
    Iida, Hiroyuki
    2014 IEEE GAMES, MEDIA, ENTERTAINMENT (GEM), 2014,
  • [44] Game theory and its application to field crops in Antalya Province
    Özkan, Burhan
    Vurus Akçaöz, Handan
    Turkish Journal of Agriculture and Forestry, 2002, 26 (05) : 303 - 309
  • [45] Binary equilibrium optimizer: Theory and application in building optimal control problems
    Faramarzi, Afshin
    Mirjalili, Seyedali
    Heidarinejad, Mohammad
    ENERGY AND BUILDINGS, 2022, 277
  • [46] METHODOLOGICAL PROBLEMS OF GAME THEORY
    WOROBJOW, NN
    SOWJETWISSENSCHAFT GESELLSCHAFTS WISSENSCHAFTLICHE BEITRAGE, 1967, (05): : 520 - 532
  • [47] PROBLEMS IN APPLICATIONS OF GAME THEORY
    MORGENST.O
    OPERATIONS RESEARCH, 1966, S 14 : B190 - &
  • [48] Inequality Problems of Equilibrium Problems with Application
    Hashoosh, Ayed Eleiwis
    Alimohammady, Mohsen
    Buite, Haiffa Mohsen
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2018, 12 (01): : 15 - 26
  • [49] How is the equilibrium of continuous strategy game different from that of discrete strategy game?
    Zhong, Weicai
    Kokubo, Satoshi
    Tanimoto, Jun
    BIOSYSTEMS, 2012, 107 (02) : 88 - 94
  • [50] Yet Another Strong Equilibrium for Game Problems
    Smol'yakov, E. R.
    DOKLADY MATHEMATICS, 2010, 82 (01) : 655 - 658
12345