Title
Weighted nucleoli
Abstract
.   Cooperative games in characteristic function form (TU games) are considered. We allow for variable populations or carriers. Weighted nucleoli are defined via weighted excesses for coalitions. A solution satisfies the Null Player Out (NPO) property, if elimination of a null player does not affect the payoffs of the other players. For any single-valued and efficient solution, the NPO property implies the null player property. We show that a weighted nucleolus has the null player property if and only if the weights of multi-player coalitions are weakly decreasing with respect to coalition inclusion. Weighted nucleoli possessing the NPO-property can be characterized by means of a multiplicative formula for the weights of the multi-player coalitions and a restrictive condition on the weights of one-player coalitions.
Year
DOI
Venue
1999
10.1007/s001820050011
Int. J. Game Theory
Keywords
DocType
Volume
Key words: Cooperative games,weighted nucleoli,null player,Kohlberg condition
Journal
28
Issue
ISSN
Citations 
2
1432-1270
3
PageRank 
References 
Authors
0.54
2
2
Name
Order
Citations
PageRank
Jean Derks17222.89
Hans Haller28019.80