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research article : The relative interior of the base polyhedron and the core

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Author Info
Jingang Zhao () (Department of Economics, Iowa State University, 260 Heady Hall, Ames, IA 50011-1070, USA)

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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.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 18 (2001)
Issue (Month): 3 ()
Pages: 635-648
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Handle: RePEc:spr:joecth:v:18:y:2001:i:3:p:635-648

Note: Received: June 25, 1999; revised version: May 8, 2000
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Related research
Keywords: Base polyhedron; Core; Minimum no-blocking payoff; Nucleolus; Sensitivity analysis.;

Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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