Restricted component additive games |
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| Authors: | Imma Curiel Herbert Hamers Stef Tijs Jos Potters |
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| Institution: | (1) Department of Mathematics and Statistics, University of Maryland, 21228 Baltimore County, MD, USA;(2) Center and Department of Econometrics, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands;(3) Department of Mathematics, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands |
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| Abstract: | Curiel, Potters, Prasad, Tijs and Veltman (1993) introduced component additive games which are cooperative TU games that arise by imposing an order on the player set. Further, they introduced the  -rule which allocates 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 attention to head-tail coalitions. The extreme points of the corresponding restricted core are characterized. Further, it is shown that the -rule is the barycenter of the corresponding restricted core and that the -rule coincides with the nucleolus of this restricted game. |
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