Convexity and Marginal Vectors

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

Research output: Working paperDiscussion paperOther research output

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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

Fingerprint

Convexity
TU Game
Game
Converge
Zero

Keywords

  • game theory
  • convexity
  • marginal vectors

Cite this

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

Convexity and Marginal Vectors. / van Velzen, S.; Hamers, H.J.M.; Norde, H.W.

Tilburg : Operations research, 2002. (CentER Discussion Paper; Vol. 2002-53).

Research output: Working paperDiscussion paperOther research output

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AU - van Velzen, S.

AU - Hamers, H.J.M.

AU - Norde, H.W.

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N2 - 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.

AB - 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.

KW - game theory

KW - convexity

KW - marginal vectors

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van Velzen S, Hamers HJM, Norde HW. Convexity and Marginal Vectors. Tilburg: Operations research. 2002. (CentER Discussion Paper).