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

Author(s):

F. Madandar , S. Haghayegi , S. M. Vaezpour

Article Type:
Research/Original Article (دارای رتبه معتبر)
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.2010 MSC: 91A05

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:10 Issue: 1, Summer-Autumn 2019
Pages:
99 to 109
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