Abstract | ||
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. 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 |
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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 Derks | 1 | 72 | 22.89 |
Hans Haller | 2 | 80 | 19.80 |