Characterizing Convexity of Games Using Marginal Vectors
CentER Working Paper No. 2003-11
Posted: 26 May 2004
Date Written: February 2003
In this paper we study the relation between convexity of TU games and marginal vectors. We show that if specfic marginal vectors are core elements, then the game is convex. We characterize sets of marginal vectors satisfying this property, and we derive the formula for the minimum number of marginal vectors in such sets.
Keywords: Convexity, marginal vector, TU game
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