The relative interior of the base polyhedron and the core

This note provides two necessary and sufficient conditions for the relative interior of the core (and the base polyhedron) to be non-empty: (i) the second largest excess of the prenucleolus is negative; (ii) the grand coalition's payoff is greater than the minimum no-blocking payoff. Such conditions imply an intuitive method in proving core existence, they also imply results on the sensitivity of the base polyhedron and the core.

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Year of publication:	2001-06-11
Authors:	Zhao, Jingang
Published in:	Economic Theory. - Springer. - Vol. 18.2001, 3, p. 635-648
Publisher:	Springer
Subject:	Base polyhedron \| Core \| Minimum no-blocking payoff \| Nucleolus \| Sensitivity analysis

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Extent:	application/pdf
Type of publication:	Article
Notes:	Received: June 25, 1999; revised version: May 8, 2000
Classification:	C62 - Existence and Stability Conditions of Equilibrium ; C71 - Cooperative Games ; D71 - Social Choice; Clubs; Committees; Associations
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005147364