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Convexity and marginal vectors
Authors:Bas van Velzen  Herbert Hamers  Henk Norde
Institution:(1) CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands (E-mail: S.vanVelzen@uvt.nl,H.J.M.Hamers@uvt.nl,H.Norde@uvt.nl), NL
Abstract:In this paper we construct sets of marginal vectors of a TU game with the property that if the marginal vectors from these sets are core elements, then the game is convex. This approach leads to new upperbounds on the number of marginal vectors needed to characterize convexity. Another result is that the relative number of marginals needed to characterize convexity converges to zero. Received: May 2002
Keywords:: convexity  marginal vectors  TU game
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