A Note on Permutationally Convex Games

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

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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.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages18
Volume2005-83
Publication statusPublished - 2005

Publication series

NameCentER Discussion Paper
Volume2005-83

Keywords

  • Cooperative game theory
  • marginal vectors
  • permutational convexity

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    van Velzen, S., Hamers, H. J. M., & Norde, H. W. (2005). A Note on Permutationally Convex Games. (CentER Discussion Paper; Vol. 2005-83). Operations research.