Characterization of the equilibrium strategy of the bimatrix game with fuzzy payoff

被引：82

作者：

Maeda, T ^{[1
]}

机构：

[1] Kanazawa Univ, Fac Econ, Kanazawa, Ishikawa 9201192, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 251卷 / 02期

关键词：

bimatrix game; Nash equilibrium strategy; fuzzy number; possibility measure; possible Nash equilibrium strategy;

D O I：

10.1006/jmaa.2000.7142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider fuzzy bimatrix games, which mean bimatrix games with fuzzy payoff matrices. We define two types of concepts of equilibrium strategy and investigate their relationships. Moreover, we prove that these Nash equilibrium strategies exist in any fuzzy bimatrix games. (C) 2000 Academic Press.

引用

页码：885 / 896

页数：12

共 13 条

[1]

[Anonymous], 1982, GAME THEORY

[2]

Aubin J.-P., 1979, MATH METHODS GAMES E

[3] COOPERATIVE FUZZY GAMES [J].

AUBIN, JP .

MATHEMATICS OF OPERATIONS RESEARCH, 1981, 6 (01) :1-13

[4] MULTIPLE GOAL NON-COOPERATIVE CONFLICTS UNDER UNCERTAINTY - A FUZZY SET APPROACH [J].

BUCKLEY, JJ .

FUZZY SETS AND SYSTEMS, 1984, 13 (02) :107-124

[5] FUZZY LINEAR-PROGRAMMING MODELS TO SOLVE FUZZY MATRIX GAMES [J].

CAMPOS, L .

FUZZY SETS AND SYSTEMS, 1989, 32 (03) :275-289

[6] RANKING FUZZY NUMBERS IN THE SETTING OF POSSIBILITY THEORY [J].

DUBOIS, D ;

PRADE, H .

INFORMATION SCIENCES, 1983, 30 (03) :183-224

[7]

Fundenberg Drew., 1991, GAME THEORY

[8]

HARSANYI J. C., 1967, Management Science, V14, P159, DOI [10.1287/mnsc.14.3.159, DOI 10.1287/MNSC.1040.0270]

[9] GAMES WITH INCOMPLETE INFORMATION PLAYED BY BAYESIAN PLAYERS .3. BASIC PROBABILITY DISTRIBUTION OF THE GAME [J].

HARSANYI, JC .

MANAGEMENT SCIENCE, 1968, 14 (07) :486-502

[10] GAMES WITH INCOMPLETE INFORMATION PLAYED BY BAYESIAN PLAYERS .2. BAYESIAN EQUILIBRIUM POINTS [J].

HARSANYI, JC .

MANAGEMENT SCIENCE, 1968, 14 (05) :320-334

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