NICI > Publications > 1997 > Restricted component additive games
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Reference
Curiel, I.J., Hamers, H.J.M., Tijs, S.H., & Potters, J.A.M. (1997). Restricted component additive games. Mathematical Methods of Operations Research, 45 (3), 213-220.
Abstract
Curiel et al. (1993) introduced component additive games which are cooperative TU-games that arise by imposing an order on the player set. Furthermore, they introduced the beta-rule which assigns a core element to each component additive game. In this paper we consider the class of restricted component additive games that arise by restricting the possible coalitions to head-tail coalitions. The extreme points of the corresponding restricted core are characterized and it is shown that the beta-rule gives the barycenter of the restricted core. This allocation is also the nucleolus of the restricted game.