Convex and Exact Games with Non-Transferable Utility

RM/09/031

19 Pages Posted: 22 Mar 2010

See all articles by Péter Csóka

Péter Csóka

Corvinus University of Budapest; Hungarian Academy of Sciences (HAS) - Research Centre for Economic and Regional Studies (HAS)

P. Jean-Jacques Herings

Maastricht University

Laszlo A. Koczy

Hungarian Academy of Sciences (HAS) - Research Centre for Economic and Regional Studies (HAS); Quantitative Social and Management Sciences Research Group, Budapest University of Technology and Economics

Miklós Pintér

Corvinus University of Budapest

Date Written: June 20, 2009

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 payoffset. 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: NTU Games, Exact Games, Convex Games

JEL Classification: C71

Suggested Citation

Csóka, Péter and Herings, P. Jean-Jacques and Koczy, Laszlo A. and Pintér, Miklós, Convex and Exact Games with Non-Transferable Utility (June 20, 2009). RM/09/031. Available at SSRN: https://ssrn.com/abstract=1491557 or http://dx.doi.org/10.2139/ssrn.1491557

Péter Csóka

Corvinus University of Budapest ( email )

Fővám tér 8.
Budapest, 1093
Hungary

Hungarian Academy of Sciences (HAS) - Research Centre for Economic and Regional Studies (HAS) ( email )

Tóth Kálmán utca 4.
Budapest, 1097
Hungary

P. Jean-Jacques Herings (Contact Author)

Maastricht University ( email )

Department of Economics
P.O. Box 616
6200 MD Maastricht
Netherlands
+31 43 3883636 (Phone)
+31 43 3884878 (Fax)

HOME PAGE: http://www.personeel.unimaas.nl/p.herings/herings.htm

Laszlo A. Koczy

Hungarian Academy of Sciences (HAS) - Research Centre for Economic and Regional Studies (HAS) ( email )

Budaörsi 45
Budapest, H-1112
Hungary

HOME PAGE: http://www.mtakti.hu/en/kutatok/laszlo-a-koczy/276/

Quantitative Social and Management Sciences Research Group, Budapest University of Technology and Economics ( email )

Magyar Tudósok krt. 2.
Budapest, 1117
Hungary

HOME PAGE: http://qsms.mokk.bme.hu/index.php/koczy/

Miklós Pintér

Corvinus University of Budapest ( email )

Hungary

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