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Information Journal Paper

Title

CONSTRAINED BIMATRIX GAMES WITH FUZZY GOALS AND ITS APPLICATION IN NUCLEAR NEGOTIATIONS

Pages

  81-109

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 programming 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.

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    APA: Copy

    BIGDELI, H., HASSANPOUR, H., & Tayyebi, J.. (2018). CONSTRAINED BIMATRIX GAMES WITH FUZZY GOALS AND ITS APPLICATION IN NUCLEAR NEGOTIATIONS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 8(1 (SERIAL NUMBER 13) ), 81-109. SID. https://sid.ir/paper/260847/en

    Vancouver: Copy

    BIGDELI H., HASSANPOUR H., Tayyebi J.. CONSTRAINED BIMATRIX GAMES WITH FUZZY GOALS AND ITS APPLICATION IN NUCLEAR NEGOTIATIONS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2018;8(1 (SERIAL NUMBER 13) ):81-109. Available from: https://sid.ir/paper/260847/en

    IEEE: Copy

    H. BIGDELI, H. HASSANPOUR, and J. Tayyebi, “CONSTRAINED BIMATRIX GAMES WITH FUZZY GOALS AND ITS APPLICATION IN NUCLEAR NEGOTIATIONS,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 8, no. 1 (SERIAL NUMBER 13) , pp. 81–109, 2018, [Online]. Available: https://sid.ir/paper/260847/en

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