Restricted component additive games

Imma Curiel, Herbert Hamers, Stef Tijs and Jos Potters

Mathematical Methods of Operations Research, 1997, vol. 45, issue 2, 213-220

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 β-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 β-rule is the barycenter of the corresponding restricted core and that the β-rule coincides with the nucleolus of this restricted game. Copyright Physica-Verlag 1997

Date: 1997
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DOI: 10.1007/BF01193861

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