Characterizing Convexity of Games Using Marginal Vectors

CentER Working Paper No. 2003-11

Posted: 26 May 2004

See all articles by Bas van Velzen

Bas van Velzen

affiliation not provided to SSRN

Herbert Hamers

Tilburg University - Center for Economic Research (CentER); Tilburg University - Department of Econometrics & Operations Research

Henk Norde

Tilburg University - Center For Economic Research; Tilburg University - Department of Econometrics & Operations Research

Date Written: February 2003

Abstract

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

Suggested Citation

Velzen, Bas van and Hamers, Herbert and Norde, Henk W., Characterizing Convexity of Games Using Marginal Vectors (February 2003). CentER Working Paper No. 2003-11. Available at SSRN: https://ssrn.com/abstract=550104

Bas van Velzen

affiliation not provided to SSRN ( email )

No Address Available

Herbert Hamers (Contact Author)

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands
+31 13 4666 2660 (Phone)

Tilburg University - Department of Econometrics & Operations Research

Tilburg, 5000 LE
Netherlands

Henk W. Norde

Tilburg University - Center For Economic Research ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands
+31 13 466 3245 (Phone)

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands

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