Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs

Document Type : Research Paper


1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

2 Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran


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.


Volume 10, Issue 1
November 2019
Pages 99-109
  • Receive Date: 12 June 2017
  • Revise Date: 12 November 2018
  • Accept Date: 20 December 2018