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The stable admissions polytope
Authors:Mourad Baïou  Michel Balinski
Affiliation:(1) Laboratoire d’économétrie, école Polytechnique, Paris, and Departamento de Ingenieria Matematica, Universidad de Chile, Santiago, Chile, CL;(2) CNRS and Laboratoire d’économétrie, école Polytechnique, Paris, France, FR
Abstract:
The stable admissions polytope– the convex hull of the stable assignments of the university admissions problem – is described by a set of linear inequalities. It depends on a new characterization of stability and arguments that exploit and extend a graphical approach that has been fruitful in the analysis of the stable marriage problem. Received: April 10, 1998 / Accepted: June 3, 1999?Published online January 27, 2000
Keywords:: stable assignment –   stable marriage –   two-sided market –   polytopes –   graphs –   many-to-one matching
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