Farsighted stability for roommate markets

We study farsighted stability for roommate markets. We show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of indirect dominance, we investigate von Neuman...

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Detalles Bibliográficos
Autores: Klaus, Bettina, Klijn, Flip, Walzl, Markus
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/57731
Acceso en línea:http://hdl.handle.net/10261/57731
Access Level:acceso abierto
Descripción
Sumario:We study farsighted stability for roommate markets. We show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of indirect dominance, we investigate von Neumann-Morgenstern farsightedly stable sets. We show that a singleton is von Neumann-Morgenstern farsightedly stable if and only if the matching is stable (Theorem 1). We also present a roommate market without a von Neumann-Morgenstern farsightedly stable set (Example 1) and a roommate market with a nonsingleton von Neumann-Morgenstern farsightedly stable set (Example 2). © 2011 Wiley Periodicals, Inc.

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