Constrained Bimatrix Games with Fuzzy Goals and its Application in Nuclear Negotiations
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAO-8-1_004
تاریخ نمایه سازی: 6 آذر 1397
Abstract:
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.
Authors
h bigdeli
Researcher, Institute for the Study of War, Command and Staff University, Tehran, I.R.Iran army
h Hassanpour
Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, I.R. Iran
j Tayyebi
Department of Industrial Engineering, Faculty of Industrial and Computer Engineering, Birjand University of Technology, Birjand, I.R. Iran