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Título: | Local and Global Consistency Properties for Student Placement |
Autor: | Klaus, Bettina; Klijn, Flip CSIC ORCID | Palabras clave: | Acyclicity Consistency Converse consistency Student placement |
Fecha de publicación: | 11-mar-2011 | Citación: | UFAE and IAE Working Papers ; 866.11 | Resumen: | In the context of resource allocation on the basis of priorities, Ergin (2002) identifies a necessary and sufficient condition on the priority structure such that the student-optimal stable mechanism satisfies a consistency principle. Ergin (2002) formulates consistency as a local property based on a fixed population of agents and fixed resources -- we refer to this condition as local consistency and to his condition on the priority structure as local acyclicity. We identify a related but stronger necessary and sufficient condition (unit acyclicity) on the priority structure such that the student-optimal stable mechanism satisfies a more standard global consistency property. Next, we provide necessary and sufficient conditions for the student-optimal stable mechanism to satisfy converse consistency principles. We identify a necessary and sufficient condition (local shift-freeness) on the priority structure such that the student-optimal stable mechanism satisfies local converse consistency. Interestingly, local acyclicity implies local shift-freeness and hence the student-optimal stable mechanism more frequently satisfies local converse consistency than local consistency. Finally, in order for the student-optimal stable mechanism to be globally conversely consistent, one again has to impose unit acyclicity on the priority structure. Hence, unit acyclicity is a necessary and sufficient condition on the priority structure for the student-optimal stable mechanism to satisfy global consistency or global converse consistency. | Descripción: | JEL classification: D63, C78 | Versión del editor: | http://pareto.uab.es/wp/2011/86611.pdf | URI: | http://hdl.handle.net/10261/35535 |
Aparece en las colecciones: | (IAE) Informes y documentos de trabajo |
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