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Characterization of stable matchings as extreme points of a polytope

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Abstract

The purpose of this paper is to extend a modified version of a recent result of Vande Vate (1989) which characterizes stable matchings as the extreme points of a certain polytope. Our proofs are simpler and more transparent than those of Vande Vate.

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Rothblum, U.G. Characterization of stable matchings as extreme points of a polytope. Mathematical Programming 54, 57–67 (1992). https://doi.org/10.1007/BF01586041

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  • DOI: https://doi.org/10.1007/BF01586041

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