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Characterizing convexity of games using marginal vectors

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Author Info
Velzen, B. van
Hamers, H.
Norde, H. (Tilburg University, Center for Economic Research)

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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.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 11.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:200311

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Related research
Keywords: convexity; marginal vectors;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Rafels, Carles & Ybern, Neus, 1995. "Even and Odd Marginal Worth Vectors, Owen's Multilinear Extension and Convex Games," International Journal of Game Theory, Springer, vol. 24(2), pages 113-26.
  2. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August. [Downloadable!] (restricted)
  3. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June. [Downloadable!] (restricted)
  4. Velzen, B. van & Hamers, H. & Norde, H., 2002. "Convexity and marginal vectors," Discussion Paper 53, Tilburg University, Center for Economic Research. [Downloadable!]
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