A Minimal Test for Convex Games and the Shapley Value

Abstract

A set of necessary and sufficient conditions for convexity of a transferable utility game in terms of its decomposition into unanimity games is shown to be minimal: none of the conditions is redundant. The result is used to provide an axiomatization of the Shapley value on the set of convex games.

Cite this paper

@inproceedings{Voorneveld2001AMT, title={A Minimal Test for Convex Games and the Shapley Value}, author={Mark Voorneveld}, year={2001} }