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.
|Place of Publication||Tilburg|
|Number of pages||18|
|Publication status||Published - 2005|
|Name||CentER Discussion Paper|
- Cooperative game theory
- marginal vectors
- permutational convexity