Constrained Bimatrix Games with Fuzzy Goals and its Application in Nuclear Negotiations

• Main Authors: H. Bigdeli, H. Hassanpour, J. Tayyebi
• Format: Article
• Language: English
• Published: Ferdowsi University of Mashhad 2018-03-01
• Series: Iranian Journal of Numerical Analysis and Optimization
• Subjects: multiobjective game; constrained game; fuzzy constrained game; nuclear negotiations
• Online Access: https://ijnao.um.ac.ir/article_24646_7b7194323e0c5d6e3c6fb44c53081a7f.pdf

Solving constrained bimatrix games in the fuzzy environment is the aim of this research. This class of two-person nonzero-sum games is considered with finite strategies and fuzzy goals when some additional linear constraints are imposed on the strategies. We consider constrained two-person nonzero sum games with single and multiple payoffs. It is shown that an equilibrium solution of single-objective case can be characterized by solving a quadratic programming problem with linear constraints. Some mathematical program ming problems are also introduced to obtain the equilibrium points in multi objective case with crisp and fuzzy constraints. Finally, a political application of such games is presented which is about nuclear negotiations between two countries.