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
Link To Document :
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