title: A fast approach to bimatrix games with intuitionistic fuzzy payoffs.
abstract: The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it showed the validity, applicability, and superiority.
authors.affiliation: Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China ; Faculty of Management and Economic, Kunming University of Science and Technology, Kunming 650500, China.
authors.forename: Min
authors.initials: M
authors.lastname: Fan
authors.affiliation: Faculty of Management and Economic, Kunming University of Science and Technology, Kunming 650500, China.
authors.forename: Ping
authors.initials: P
authors.lastname: Zou
authors.affiliation: Faculty of Economic, Peking University, Beijing 100083, China.
authors.forename: Shao-Rong
authors.initials: SR
authors.lastname: Li
authors.affiliation: Department of Statistics, Feng Chia University, Taichung 407, Taiwan.
authors.forename: Chin-Chia
authors.identifier: 0000-0002-1598-5127
authors.initials: CC
authors.lastname: Wu
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D017143:Fuzzy Logic; D005716:Game Theory; D005717:Games, Experimental; D006801:Humans; D019545:Intuition; D008962:Models, Theoretical; D012201:Reward