Characterizing Convexity of Games using 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 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.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages11
Volume2003-11
Publication statusPublished - 2003

Publication series

NameCentER Discussion Paper
Volume2003-11

Fingerprint

Convexity
TU game

Keywords

  • game theory
  • convexity
  • marginal vectors

Cite this

van Velzen, S., Hamers, H. J. M., & Norde, H. W. (2003). Characterizing Convexity of Games using Marginal Vectors. (CentER Discussion Paper; Vol. 2003-11). Tilburg: Operations research.
van Velzen, S. ; Hamers, H.J.M. ; Norde, H.W. / Characterizing Convexity of Games using Marginal Vectors. Tilburg : Operations research, 2003. (CentER Discussion Paper).
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van Velzen, S, Hamers, HJM & Norde, HW 2003 'Characterizing Convexity of Games using Marginal Vectors' CentER Discussion Paper, vol. 2003-11, Operations research, Tilburg.

Characterizing Convexity of Games using Marginal Vectors. / van Velzen, S.; Hamers, H.J.M.; Norde, H.W.

Tilburg : Operations research, 2003. (CentER Discussion Paper; Vol. 2003-11).

Research output: Working paperDiscussion paperOther research output

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AB - 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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KW - convexity

KW - marginal vectors

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van Velzen S, Hamers HJM, Norde HW. Characterizing Convexity of Games using Marginal Vectors. Tilburg: Operations research. 2003. (CentER Discussion Paper).