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Orderings, excess functions, and the nucleolus. (English) Zbl 0930.91006

Summary: The nucleolus of a cooperative game can be described with the aid of the leximin ordering but also on the basis of two other orderings. In this note the relation between these orderings is studied in a more general framework. The results are applied to the nucleolus corresponding to so-called normal excess functions. Also the Kohlberg criterion is extended to this more general case.

MSC:

91A12 Cooperative games
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