The core and the Weber set for bicooperative games
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DOI: 10.1007/s00182-006-0066-x
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- Derks, Jean J M & Gilles, Robert P, 1995. "Hierarchical Organization Structures and Constraints on Coalition Formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(2), pages 147-163.
- Vincent C. H. Chua & H. C. Huang, 2003. "The Shapley-Shubik index, the donation paradox and ternary games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 387-403, June.
- Tijs, S.H. & Brânzei, R. & Ishihara, S. & Muto, S., 2004. "On cores and stable sets for fuzzy games," Other publications TiSEM 66dd20be-cb4b-4b6d-937e-0, Tilburg University, School of Economics and Management.
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Cited by:
- Bilbao, J.M. & Jiménez, N. & López, J.J., 2010. "The selectope for bicooperative games," European Journal of Operational Research, Elsevier, vol. 204(3), pages 522-532, August.
- Drechsel, J. & Kimms, A., 2010. "Computing core allocations in cooperative games with an application to cooperative procurement," International Journal of Production Economics, Elsevier, vol. 128(1), pages 310-321, November.
- Margarita Domènech & José Miguel Giménez & María Albina Puente, 2022. "Weak null, necessary defender and necessary detractor players: characterizations of the Banzhaf and the Shapley bisemivalues," Annals of Operations Research, Springer, vol. 318(2), pages 889-910, November.
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Keywords
91A12; Bicooperative games; Core; Weber set; Bisupermodular games;All these keywords.
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