Convexity and Marginal Vectors

S. van Velzen, H.J.M. Hamers, H.W. Norde

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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.An other result is that the relative number of marginals needed to characterize convexity converges to zero.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages8
Volume2002-53
Publication statusPublished - 2002

Publication series

NameCentER Discussion Paper
Volume2002-53

Keywords

  • game theory
  • convexity
  • marginal vectors

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  • Cite this

    van Velzen, S., Hamers, H. J. M., & Norde, H. W. (2002). Convexity and Marginal Vectors. (CentER Discussion Paper; Vol. 2002-53). Operations research.