A Necessary and Sufficient Condition for Non-Emptiness of the Core of a Non-Transferable Utility Game

METEOR Working Paper No. RM/02/019

10 Pages Posted: 20 Jul 2002

See all articles by P. Jean-Jacques Herings

P. Jean-Jacques Herings

Tilburg University

Arkadi Predtetchinski

Maastricht University - Department of Economics

Date Written: July 1, 2002

Abstract

It is well-known that a transferable utility game has a non-empty core if and only if it is balanced. In the class of non-transferable utility games balancedness or the more general pi-balancedness due to Billera (1970) is a sufficient, but not a necessary condition for the core to be non-empty. This paper gives a natural extension of the pi-balancedness condition that is both necessary and sufficient non-emptiness of the core.

Keywords: cooperative games, core, balancedness

JEL Classification: C71

Suggested Citation

Herings, P. Jean-Jacques and Predtetchinski, Arkadi, A Necessary and Sufficient Condition for Non-Emptiness of the Core of a Non-Transferable Utility Game (July 1, 2002). METEOR Working Paper No. RM/02/019, Available at SSRN: https://ssrn.com/abstract=319062 or http://dx.doi.org/10.2139/ssrn.319062

P. Jean-Jacques Herings (Contact Author)

Tilburg University ( email )

Department of Econometrics and Operations Research
P.O. Box 90153
Tilburg, 5000 LE
Netherlands
+31 13 4668797 (Phone)
5000 LE (Fax)

HOME PAGE: http://https://sites.google.com/view/jean-jacques-herings/home

Arkadi Predtetchinski

Maastricht University - Department of Economics ( email )

P.O. Box 616
Maastricht, 6200 MD
Netherlands
+31-43-3883636 (Phone)
+31-43-3884878 (Fax)

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