Constrained Bimatrix Games With Fuzzy Goals and Its Application in Nuclear Negotiations

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 nite 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.