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Article Dans Une Revue Annals of Operations Research Année : 2015

Coalition configurations and share functions

Résumé

Albizuri et al. (2006a, 2006b) defined values for games in which the players are organized into an a priori coalition configuration. In games with coalition configuration, we suppose that players organize themselves into coalitions that are not necessarily disjoint. A player can belong to more than one a priori coalition. In this paper we redefine coalition configuration values by using the concept of share function, as introduced by van der Laan and van den Brink (1998). A share function assigns to every player in a game its share in the worth to be distributed. We also define and characterize a general class of share function for games with coalition configuration which contains among other values those introduced by Albizuri et al. (2006a, 2006b).
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Dates et versions

hal-00914883 , version 1 (09-12-2013)

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Citer

Nicolas G. Andjiga, Sébastien Courtin. Coalition configurations and share functions. Annals of Operations Research, 2015, 225 (1), pp.3 - 25. ⟨10.1007/s10479-014-1754-8⟩. ⟨hal-00914883⟩
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