Characterization of the equilibrium strategy of the bimatrix game with fuzzy payoff
type: Item
instance of: scholarly article
title: Characterization of the equilibrium strategy of the bimatrix game with fuzzy payoff
zbMATH Open document ID: 0974.91004
author: Takashi Maeda
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-03-29T00:00:00Z
review text: This paper deals with bimatrix games with fuzzy payoff matrices. Two concepts of Nash equilibrium strategies are introduced and their properties are investigated. Finally the author gives an existence theorem of these Nash equilibrium strategies in any bimatrix game with fuzzy payoff.
reviewed by: Samir Kumar Neogy
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1556949
zbMATH Keywords: fuzzy bimatrix game
zbMATH Keywords: Nash equilibium strategy
zbMATH Keywords: fuzzy payoff
zbMATH Keywords: fuzzy number
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7142
OpenAlex ID: W2060362965
cites work: Cooperative Fuzzy Games
cites work: Mathematical methods of game and economic theory
cites work: Multiple goal non-cooperative conflicts under uncertainty: A fuzzy set approach
cites work: Fuzzy linear programming models to solve fuzzy matrix games
cites work: Ranking fuzzy numbers in the setting of possibility theory
cites work: Game theory
cites work: Games with Incomplete Information Played by “Bayesian” Players, I–III Part I. The Basic Model
cites work: Two-person nonzero-sum games and quadratic programming
cites work: Q5545175
cites work: Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
DOI: 10.1006/JMAA.2000.7142
description: scientific article; zbMATH DE number 1556949