A Necessary and Sufficient Condition for the Non-emptiness of the Core of a Non-transferable Utility Game

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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 p-balancedness due to billera (siam j. Appl. Math. 18 (1970) 567) is a sufficient, but not a necessary condition for the core to be non-empty. This paper gives a natural extension of the p-balancedness condition that is both necessary and sufficient for non-emptiness of the core.
Original languageEnglish
Pages (from-to)84-92
JournalJournal of Economic Theory
Volume116
DOIs
Publication statusPublished - 1 Jan 2004

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