A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs
Fuzzy matrix games, specifically two-person zero-sum games with fuzzy payoffs, are considered. In view of the parametric fuzzy max order relation, a fictitious play algorithm for finding the value of the game is presented. A numerical example to demonstrate the presented algorithm is also given.
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/950482 |
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| _version_ | 1849398177323548672 |
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| author | Emrah Akyar |
| author_facet | Emrah Akyar |
| author_sort | Emrah Akyar |
| collection | DOAJ |
| description | Fuzzy matrix games, specifically two-person zero-sum games with fuzzy payoffs, are considered. In view of the parametric fuzzy max order relation, a fictitious play algorithm for finding the value of the game is presented. A numerical example to demonstrate the presented algorithm is also given. |
| format | Article |
| id | doaj-art-9e82b79e3c1642b8a48ee6cc7c78f05f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9e82b79e3c1642b8a48ee6cc7c78f05f2025-08-20T03:38:42ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/950482950482A Fictitious Play Algorithm for Matrix Games with Fuzzy PayoffsEmrah Akyar0Department of Mathematics, Faculty of Science, Anadolu University, 26470 Eskişehir, TurkeyFuzzy matrix games, specifically two-person zero-sum games with fuzzy payoffs, are considered. In view of the parametric fuzzy max order relation, a fictitious play algorithm for finding the value of the game is presented. A numerical example to demonstrate the presented algorithm is also given.http://dx.doi.org/10.1155/2012/950482 |
| spellingShingle | Emrah Akyar A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs Abstract and Applied Analysis |
| title | A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs |
| title_full | A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs |
| title_fullStr | A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs |
| title_full_unstemmed | A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs |
| title_short | A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs |
| title_sort | fictitious play algorithm for matrix games with fuzzy payoffs |
| url | http://dx.doi.org/10.1155/2012/950482 |
| work_keys_str_mv | AT emrahakyar afictitiousplayalgorithmformatrixgameswithfuzzypayoffs AT emrahakyar fictitiousplayalgorithmformatrixgameswithfuzzypayoffs |