The relative interior of the base polyhedron and the core
- Jingang Zhao
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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.
- The relative interior of the base polyhedron and the core
Volume 18, Issue 3 , pp 635-648
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- Keywords and Phrases:Base polyhedron, Core, Minimum no-blocking payoff, Nucleolus, Sensitivity analysis.
- JEL Classification Numbers:C62, C71, D71.
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- Jingang Zhao (A1)
- Author Affiliations
- A1. Department of Economics, Iowa State University, 260 Heady Hall, Ames, IA 50011–1070, USA (e-mail: email@example.com), US