The relative interior of the base polyhedron and the core

Jingang Zhao

Economic Theory, 2001, vol. 18, issue 3, 635-648

Abstract: 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.

Keywords: Base polyhedron; Core; Minimum no-blocking payoff; Nucleolus; Sensitivity analysis. (search for similar items in EconPapers)
JEL-codes: C62 C71 D71 (search for similar items in EconPapers)
Date: 2001-06-11
Note: Received: June 25, 1999; revised version: May 8, 2000
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Citations: View citations in EconPapers (10)

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