EQUILIBRIUM SOLUTIONS FOR MULTIOBJECTIVE BIMATRIX GAMES INCORPORATING FUZZY GOALS -- Web of Science 5.0

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EQUILIBRIUM SOLUTIONS FOR MULTIOBJECTIVE BIMATRIX GAMES INCORPORATING FUZZY GOALS
NISHIZAKI I, SAKAWA M
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 86 (2): 433-457 AUG 1995

Document type: Article

Language: English

Cited References: 15

Times Cited: 2

Abstract:
Equilibrium solutions in terms of the degree of attainment of a fuzzy goal for games in fuzzy and multiobjective environments are examined. We introduce a fuzzy goal for a payoff in order to incorporate ambiguity of human judgments and assume that a player tries to maximize his degree of attainment of the fuzzy goal. A fuzzy goal for a payoff and the equilibrium solution with respect to the degree of attainment of a fuzzy goal are defined. Two basic methods, one by weighting coefficients and the other by a minimum component, are employed to aggregate multiple fuzzy goals. When the membership functions are linear, computational methods for the equilibrium solutions are developed. It is shown that the equilibrium solutions are equal to the optimal solutions of mathematical programming problems in both cases. The relations between the equilibrium solutions for multiobjective bimatrix games incorporating fuzzy goals and the Pareto-optimal equilibrium solutions are considered.

Author Keywords:
BIMATRIX GAMES, MULTIPLE PAYOFF MATRICES, EQUILIBRIUM SOLUTIONS, PARETO OPTIMALITY, MATHEMATICAL PROGRAMMING PROBLEMS

Addresses:
NISHIZAKI I, SETSUNAN UNIV,FAC BUSINESS ADM & INFORMAT,OSAKA,JAPAN
HIROSHIMA UNIV,FAC ENGN,DEPT IND & SYST ENGN,HIGASHIHIROSHIMA 724,JAPAN

Publisher:
PLENUM PUBL CORP, NEW YORK

IDS Number:
RU663

ISSN:
0022-3239

Article 29 of 40

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