Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables

Author

Li, Cun-lin

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

Mathematics

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