Coalition configurations and share functions

Albizuri and al. (2006a, 2006b) defined values for games in which the players are organized into a priori coalition configurations. As a difference of coalition structures, introduced by Owen (1977) in games with coalition configuration, it is supposed that players organize themselves into coalitions not necessarily disjoint. In this paper, we redefine coalition configuration values by using the concept of share function. A share function assigns to every player in a game his share in the worth to be distributed. Using this concept, van der Laan and van den Brink (2002, 2005) obtained a general share function for games with coalition structure. As they did it for coalition structures, we define and characterize a general share function for games with coalition configuration. Jel classification: C71