The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON SYSTEMS
Transactions ID Number: 89-492
Full Name: André A. Keller
Position: Professor
Age: ON
Sex: Male
Address: Université de Lille 1 Sciences et Technologies CLERSE- UMR8019/CNRS Cité Scientifique 59655 Villeneuve d'Ascq Cedex
Country: FRANCE
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E-mail address: andre.keller@univ-lille1.fr
Other E-mails: andre-keller@orange.fr
Title of the Paper: fuzzy bimatrix games with single and multiple objective: introduction to the computational techniques
Authors as they appear in the Paper: André A. Keller
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Number of paper pages: 14
Abstract: This paper introduces to the computational techniques of non-cooperative bimatrix games in an uncertain environment. Both single and multiple objective fuzzy-valued bimatrix games are considered theoretically with one numerical example. The presentation is centered on the Nishizaki and Sakawa models. These models are based on the maxmin and minmax principles of the classical matrix game theory. Equivalent nonlinear (possibly quadratic) programming problems are giving optimal solutions. The equilibrium solutions correspond to players maximizing a degree of attainment of the fuzzy goals. Besides the Nash equilibrium, the concept of $\alpha$-Nash equilibrium supposes Nature be the third Player. The aggregation of all the fuzzy sets in the multiobjective models use the fuzzy decision rule by Bellman and Zadeh. This `aggregation by a minimum component' consists in the intersection of the fuzzy sets, the fuzzy expected payoffs and the fuzzy goals. Numerical examples of t!
wo-players nonzero sum games are solved using the \emph{MATHEMATICA 7.0.1} software. The numerical solutions are possibly local by using iterative methods.
Keywords: Fuzzy bimatrix game, Singleobjective game, Multipleobjective game, Degree of attainment, Quadratic programming
EXTENSION of the file: .pdf
Special (Invited) Session: fuzzy multiobjective bimatrix games: introduction to the computational techniques
Organizer of the Session: 618-450
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