Template-type: ReDif-Paper 1.0
Author-Name: Csóka Péter 
Author-Name: Herings P. Jean-Jacques 
Author-Name: Kóczy László Á. 
Author-Name: Pintér Miklós 
Author-workplace-name: METEOR
Title: Convex and Exact Games with Non-transferable Utility
Abstract: 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 payoff 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 unified 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.
Keywords: operations research and management science; 
Series: Research Memoranda
Creation-Date: 2009
Number: 031
File-URL: http://edocs.ub.unimaas.nl/loader/file.asp?id=1428
File-Format: application/pdf
File-Size: 363634
Handle: RePEc:unm:umamet:2009031