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
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: 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
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