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A Note on Permutationally Convex Games

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Author Info

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

    (Tilburg University, Center for Economic Research)

Abstract

In this paper we generalise marginal vectors and permutational convexity.We show that if a game is generalised permutationally convex, then the corresponding generalised marginal vector is a core element.Furthermore we refine the concept of permutational convexity and show that this refinement yields a sufficient condition for the corresponding marginal vector to be a core element.Finally, we prove that permutational convexity is equivalent to a restricted set of inequalities and that if a game is permutationally convex with respect to an order, then it is permutationally convex with respect to a related order as well. Series: CentER Discussion Paper

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2005-83.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:200583

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Web page: http://center.uvt.nl

Related research

Keywords: Cooperative game theory; marginal vectors; permutational convexity;

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  1. Meca, Ana & Timmer, Judith & Garcia-Jurado, Ignacio & Borm, Peter, 2004. "Inventory games," European Journal of Operational Research, Elsevier, vol. 156(1), pages 127-139, July.
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Cited by:
  1. Velzen, S. van, 2005. "Cooperation in Networks and Scheduling," Open Access publications from Tilburg University urn:nbn:nl:ui:12-170234, Tilburg University.

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