Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper deals with bimatrix games in uncertainty environment based on several types of ordering, which Maeda proposed.
But Maeda’s models was just made based on symmetrical triangle fuzzy variable.
In this paper, we generalized Maeda’s model to the non-symmetrical environment.
In other words, we investigated the fuzzy bimatrix games based on nonsymmetrical L-R fuzzy variables.
Then the pseudoinverse of a nonconstant monotone function was given and the concept of crisp parametric bimatrix games was introduced.
At last, the existence condition of Nash equilibrium strategies of the fuzzy bimatrix games is proposed and (weak) Pareto equilibrium of the fuzzy bimatrix games was obtained through the Nash equilibrium of the crisp parametric bimatrix.
American Psychological Association (APA)
Li, Cun-lin. 2012. Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993735
Modern Language Association (MLA)
Li, Cun-lin. Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993735
American Medical Association (AMA)
Li, Cun-lin. Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993735
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993735