A Note on Permutationally Convex Games
CentER Discussion Paper No. 2005-83
17 Pages Posted: 9 Sep 2005
Date Written: July 2005
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.
Keywords: Cooperative game theory, marginal vectors, permutational convexity
JEL Classification: C71
Suggested Citation: Suggested Citation