Axioms for the Shapley value on convex geometries

Axioms for the Shapley value on convex geometries

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Article ID: iaor19993081
Country: Netherlands
Volume: 110
Issue: 2
Start Page Number: 368
End Page Number: 376
Publication Date: Oct 1998
Journal: European Journal of Operational Research
Authors:
Abstract:

The purpose of this article is an extension of Shapley's value for games with restricted cooperation. The classical model of cooperative game where every subset of players is a feasible coalition may be unrealistic. The feasible coalitions in our model will be the convex sets, i.e., those subsets of players belonging to a convex geometry L. In the last section, we apply this model to several examples about the power in the Council of Ministers of the European Union.

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