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

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.

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Year of publication:	2002
Authors:	Jean-Jacques, Herings P. ; Arkadi, Predtetchinski
Institutions:	Graduate School of Business and Economics (GSBE), School of Business and Economics
Subject:	microeconomics

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Extent:	application/pdf
Series:	Research Memorandum.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series Research Memoranda Number 016
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011160455