Economic Theory

, Volume 18, Issue 3, pp 635–648

The relative interior of the base polyhedron and the core

  • Jingang Zhao
Research Article

DOI: 10.1007/PL00004203

Cite this article as:
Zhao, J. Econ Theory (2001) 18: 635. doi:10.1007/PL00004203


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 and Phrases:Base polyhedron, Core, Minimum no-blocking payoff, Nucleolus, Sensitivity analysis.
JEL Classification Numbers:C62, C71, D71.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jingang Zhao
    • 1
  1. 1.Department of Economics, Iowa State University, 260 Heady Hall, Ames, IA 50011–1070, USA (e-mail: US