A Note on Permutationally Convex Games

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

Research output: Working paperDiscussion paperOther research output

378 Downloads (Pure)


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
Publication statusPublished - 2005

Publication series

NameCentER Discussion Paper


  • Cooperative game theory
  • marginal vectors
  • permutational convexity


Dive into the research topics of 'A Note on Permutationally Convex Games'. Together they form a unique fingerprint.

Cite this