and Sofia Grahn
Mark Voorneveld: CentER and Department of Econometrics, Postal: Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands,
Sofia Grahn: Department of Economics, Postal: Uppsala University, P.O. Box 513, SE-751 20 Uppsala, Sweden
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.
8 pages, February 1, 2001
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