CHARACTERIZATION OF NASH EQUILIBRIUM STRATEGY FOR HEPTAGONAL FUZZY GAMES

被引：0
|
作者：
Madandar, F. [1 ]
Haghayeghi, S. [1 ]
Vaezpour, S. M. [2 ]
机构：
[1] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran
[2] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2018年 / 16卷 / 03期
关键词：
zero-sum matrix game; fuzzy payoffs; Nash equilibrium; heptagonal fuzzy number;
D O I：
10.28924/2291-8639-16-2018-353
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the Nash equilibrium strategy of two-person zero-sum games with heptagonal fuzzy payoffs is considered and the existence of Nash equilibrium strategy is studied. Also, based on the fuzzy max order several models in heptagonal fuzzy environment is constructed and the existence of their equilibrium strategies is proposed. In the sequel, the existence of Pareto Nash equilibrium strategies and weak Pareto Nash equilibrium strategies is investigated for fuzzy matrix games. Finally, the relation between Pareto Nash equilibrium strategy and parametric bi-matrix games is established.
引用
收藏
页码：353 / 367
页数：15
相关论文
共 50 条
  • [1] Nash equilibrium strategy for fuzzy non-cooperative games
    Li Cunlin
    Zhang Qiang
    [J]. FUZZY SETS AND SYSTEMS, 2011, 176 (01) : 46 - 55
  • [2] Fuzzy Nash Equilibrium in Fuzzy Games Using Ranking Fuzzy Numbers
    Chakeri, Alireza
    Sadati, Nasser
    Sharifian, Setareh
    [J]. 2010 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2010), 2010,
  • [3] Existence of Risk Strategy Equilibrium in Games Having No Pure Strategy Nash Equilibrium
    Lam, Ka-man
    Leung, Ho-Fung
    [J]. AGENT COMPUTING AND MULTI-AGENT SYSTEMS, 2009, 5044 : 1 - 12
  • [4] A Characterization of Nash Equilibrium for the Games with Random Payoffs
    Singh, Vikas Vikram
    Lisser, Abdel
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 178 (03) : 998 - 1013
  • [5] A Characterization of Nash Equilibrium for the Games with Random Payoffs
    Vikas Vikram Singh
    Abdel Lisser
    [J]. Journal of Optimization Theory and Applications, 2018, 178 : 998 - 1013
  • [6] Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs
    Madandar, F.
    Haghayegi, S.
    Vaezpour, S. M.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2019, 10 (01): : 99 - 109
  • [7] Nash Equilibrium in Fuzzy Random Bi-Matrix Games
    Achemine, Farida
    Larbani, Moussa
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2023, 31 (06) : 1005 - 1031
  • [8] On Nash Equilibrium Strategy of Two-person Zero-sum Games with Trapezoidal Fuzzy Payoffs
    Dutta, Bapi
    Gupta, S. K.
    [J]. FUZZY INFORMATION AND ENGINEERING, 2014, 6 (03) : 299 - 314
  • [9] Nash equilibrium strategy for non-cooperative games with interval type-2 fuzzy payoffs
    Chakravorty, Subrato
    Ghosh, Debdas
    [J]. 2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2018,
  • [10] Geometric Characterization of Nash Equilibrium in Certain Quantum Games
    Khan, Faisal Shah
    [J]. WMSCI 2010: 14TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL I, 2010, : 381 - 384
12345