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Home > Convex and Exact Games with Non-transferable Utility

Convex and Exact Games with Non-transferable Utility

Working paper
Author/s: 
Péter Csóka , P. Jean-Jacques Herings , László Á. Kóczy and Miklós Pintér
Issue number: 
RM/09/031
Publisher: 
Maastricht University
Year: 
2009
PDF [1]
We generalize exactness to games with non-transferable utility (NTU). In an exact game for each coalition there is a core allocation on the boundary of its payo® set. Convex games with transferable utility are well-known to be exact. We study five generalizations of convexity in the NTU setting. We show that each of ordinal, coalition merge, individual merge and marginal convexity can be united under NTU exactness. We provide an example of a cardinally convex game which is not NTU exact. Finally, we relate the classes of II-balanced, totally II-balanced, NTU exact, totally NTU exact, ordinally convex, cardinally convex, coalition merge convex, individual merge convex and marginal convex games to one another.
Tags: 
Cooperative Game Theory [2]

Source URL:http://coalitiontheory.net/content/convex-and-exact-games-non-transferable-utility

Links
[1] http://edocs.ub.unimaas.nl/loader/file.asp?id=1428 [2] http://coalitiontheory.net/research-areas/cooperative-game-theory