%0 Journal Article
%T Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Madandar, Fatemeh
%A Haghayeghi, Somayeh
%A Vaezpour, S.Mansour
%D 2019
%\ 11/01/2019
%V 10
%N 1
%P 99-109
%! Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs
%K Bi-matrix game
%K Nash equilibrium
%K L-R fuzzy variable
%R 10.22075/ijnaa.2018.13073.1674
%X 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.
%U https://ijnaa.semnan.ac.ir/article_4055_8ed4b87793f9dc8aa68d20d0f30da122.pdf