Solving Bi-Matrix Games Based on Fuzzy Payoffs via Utilizing the Interval Value Function Method

Kaisheng Liu and Yumei Xing
Additional contact information
Kaisheng Liu: School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
Yumei Xing: School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China

Mathematics, 2019, vol. 7, issue 5, 1-10

Abstract: In this article, we introduce a model of bi-matrix games based on crisp parametric payoffs via utilizing the method of interval value function. Then, we get that equilibrium solutions of bi-matrix games on the basis of fuzzy payoffs and equilibrium solutions of the game model are of equal value. Furthermore, it is concluded that equilibrium solutions of the game can be converted to optimal solutions of discrete nonlinear optimization problems with parameters. Lastly, the proposed methodology is illustrated by an example.

Keywords: fuzzy bi-matrix games; equilibrium solutions; non-linear optimization problems; interval value function methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/5/469/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/5/469/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:5:p:469-:d:234129

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().