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The relative interior of the base polyhedron and the core

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  • Jingang Zhao

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

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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Bibliographic 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.;

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Cited by:
  1. Luis Sanchez-Mier, 2005. "A Theory of Political Influence and Economic Organization," Department of Economics and Finance Working Papers EC200504, Universidad de Guanajuato, Department of Economics and Finance.
  2. Jingang Zhao, 2009. "Estimating Merging Costs by Merger Preconditions," Theory and Decision, Springer, vol. 66(4), pages 373-399, April.
  3. Takayuki Watanabe & Nobuo Matsubayashi, 2013. "Note on Stable Mergers in a Market with Asymmetric Substitutability," Economics Bulletin, AccessEcon, vol. 33(3), pages 2024-2033.
  4. Karsten, Frank & Basten, Rob J.I., 2014. "Pooling of spare parts between multiple users: How to share the benefits?," European Journal of Operational Research, Elsevier, vol. 233(1), pages 94-104.

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