Solving bimatrix games with fuzzy payoffs by introducing Nature as a third player

被引：32

作者：

Larbani, Moussa ^{[1
,2
]}

机构：

[1] Kianan Univ, Dept Business Adm, Luchu 33857, Taoyuan County, Taiwan

[2] HUM Univ, Fac Econ & Management Sci, Dept Business Adm, Jalan Gombak 53100, Malaysia

来源：

FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 05期

关键词：

Bimatrix game; Fuzzy payoff; Belief; Fuzzy intervals; Nash equilibrium; ZERO-SUM GAMES; EQUILIBRIUM STRATEGY; MATRIX GAMES;

D O I：

10.1016/j.fss.2008.06.010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The paper elaborates on the fuzzy bimatrix games. The payoffs are assumed to be fuzzy intervals with bounded support as defined by Dubois and Prade. A new equilibrium concept is defined for this game by introducing 'Nature' as a third player and using alpha-cuts. Sufficient conditions for its existence and a procedure for its computation are provided, (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：657 / 666

页数：10

共 23 条

[1]

[Anonymous], 2004, Fuzzy Optim. Decis. Mak

[2]

[Anonymous], MANAG SCI

[3]

[Anonymous], 2005, FUZZY MATH PROGRAMMI

[4]

[Anonymous], 2001, Fuzzy and multiobjective games for conflict resolution