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 finite strategies and fuzzy goals when some additional linear constraints are imposed on the strategies. We consider constrained two-person nonzero s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ferdowsi University of Mashhad
2018-03-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_24646_7b7194323e0c5d6e3c6fb44c53081a7f.pdf |
| Summary: | 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. |
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| ISSN: | 2423-6977 2423-6969 |