On fuzzy coalitions
This paper is an exposition of Chapter 6 and 7 of the book Models in Cooperative Game Theory: Crisp, Fuzzy, and Multi-Choice Games by R. Branzei, D. Dmitriv, and S. Tijs, pp. 77-88 [1]. It focuses on Fuzzy Coalitions, a concept in cooperative game theory dealing with coalitions with participation le...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2009
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/5231 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | This paper is an exposition of Chapter 6 and 7 of the book Models in Cooperative Game Theory: Crisp, Fuzzy, and Multi-Choice Games by R. Branzei, D. Dmitriv, and S. Tijs, pp. 77-88 [1]. It focuses on Fuzzy Coalitions, a concept in cooperative game theory dealing with coalitions with participation levels between 0 and 1. This paper presented the relationship between crisp and fuzzy coalitions, regarding games, imputations and cores. Also, this paper showed how crisp and fuzzy games can be transformed into fuzzy and crisp games, respectively. Furthermore, definitions, examples and other interpretations are thoroughly discussed which include unanimity games, t-restricted games, multilinear extension, imputation set, aubin core, stable sets, proper core, and dominance core. |
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