Title of article
Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs
Author/Authors
Madandar, F Department of Mathematics - Karaj Branch Islamic Azad University, Karaj, Iran , Haghayegi, S Department of Mathematics - Karaj Branch Islamic Azad University, Karaj, Iran , Vaezpour, S.M Department of Mathematics and Computer Sciences - Amirkabir University of Technology, Tehran, Iran
Pages
11
From page
99
To page
109
Abstract
In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the
fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the
existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last,
based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak
Pareto Nash equilibrium strategies of the fuzzy bi-matrix games.
Keywords
Bi-matrix game , Nash equilibrium , L-R fuzzy variable
Serial Year
2019
Record number
2493504
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