Journal
FUZZY INFORMATION AND ENGINEERING
Volume 6, Issue 3, Pages 299-314Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fiae.2014.12.003
Keywords
Fuzzy numbers; Two-person zero-sum games; Fuzzy payoffs; Parametricbi-matrix game; Pareto Nash equilibrium strategy
Categories
Funding
- Council of Scientific and Industrial Research, New Delhi, India [09/1023(007)/2011-EMR-I]
Ask authors/readers for more resources
In this paper, we investigate Nash equilibrium strategy of two-person zero-sum games with fuzzy payoffs. Based on fuzzy max order, Maeda and Cunlin constructed several models in symmetric triangular and asymmetric triangular fuzzy environment, respectively. We extended their models in trapezoidal fuzzy environment and proposed the existence of equilibrium strategies for these models. We also established the relation between Pareto Nash equilibrium strategy and parametric bimatrix game. In addition, numerical examples are presented to fmd Pareto Nash equilibrium strategy and weak Pareto Nash equilibrium strategy from bi-matrix game.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available