A Minimal Test for Convex Games and the Shapley Value
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.
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|Date of creation:||2001|
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"On Three Shapley-Like Solutions for Cooperative Games with Random Payoffs,"
2000-73, Tilburg University, Center for Economic Research.
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