The fuzzy core in games with fuzzy coalitions

Journal of Computational and Applied Mathematics

Volumn 230, Issue 1, 2009, Pages 173-186

  Yu, Xiaohui ^a   Zhang, Qiang ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Cooperative game; Core; Fuzzy coalition; Shapley value

Indexed keywords

COOPERATIVE GAME; CORE; FUZZY COALITION; PARTICIPATION RATE; SHAPLEY FUNCTION; SHAPLEY VALUE;

GAME THEORY;

EID: 67349251887     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.11.004     Document Type: Article

References (10)

1. Aubin J.P. Coeur et valeur des jeux flous à paiements latéraux. Comptes Rendus Hebdomadaires des Séances de 1' Académie des Sciences 279-A (1974) 891-894
2. Aubin J.P. Mathematical Methods of Game and Economic Theory (Revised Edition) (1982), North-Holland, Amsterdam
3. Butnariu D. Fuzzy games: A description of the concept. Fuzzy Sets and Systems 1 (1978) 181-192
4. Butnariu D. Stability and Shapley value for n-persons fuzzy game. Fuzzy Sets and Systems 4 (1980) 63-72
5. Butnariu D., and Kroupa T. Shapley mapping and the cumulative value for n-person games with fuzz coalition. European Journal of Operational Research 186 (2008) 288-299
6. Tsurumi M., Tanino T., and Inuiguchi M. A Shapley function on a class of cooperative fuzzy games. European Journal of Operational Research 129 (2001) 596-618
7. Tijs S., Branzei R., Ishihara S., and Muto S. On cores and stable sets for fuzzy games. Fuzzy Sets and Systems 146 (2004) 285-296
8. Sakawa M., and Nishizaki I. A lexicographical solution concept in an n-person cooperative fuzzy game. Fuzzy Sets and Systems 61 (1994) 265-275
9. Shapley L.S. A value for n-persons games. Annals of Mathematics Studies 28 (1953) 307-318
10. Owen G. Multilinear extensions of games. Management Sciences 18 (1972) 64-79