Elena Inarra () (UPV/EHU) Concepción Larrea () (UPV/EHU) Elena Molis () (UPV/EHU)
Abstract
The lack of stability in some matching problems suggets that alternative solution concepts to the core migth be applied to find predictable matchings. We propose the absorbing sets as a solution for the class of roommate problems with strict preferences. This solution, wich always exists, either gives the matchings in the core or predicts some other matchings when the core is empty. Furthermore, it satisfies an intersting property of outer stability. We also characterize the absorbing sets, determine their number and, in case of multiplicity, we find that they all share a similar structure.
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Publisher Info
Paper provided by Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number
200730.
Order Information: Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain Email:
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