Convexity and marginal vectors

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Convexity and marginal vectors

Author Info

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

Additional information is available for the following registered author(s):

Henk Norde

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.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 53.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:200253

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This paper has been announced in the following NEP Reports:

NEP-ALL-2002-06-13 (All new papers)

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.:

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.

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(explanations, 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.)

Velzen, B. van & Hamers, H. & Norde, H., 2003. "Characterizing convexity of games using marginal vectors," Discussion Paper 11, Tilburg University, Center for Economic Research. [Downloadable!]

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