Efficiency and stability of probabilistic assignments in marriage problems

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dc.citation.epage58en_US
dc.citation.spage47en_US
dc.citation.volumeNumber95en_US
dc.contributor.authorDoğan, B.en_US
dc.contributor.authorYıldız, K.en_US
dc.date.accessioned2016-02-08T10:16:07Z
dc.date.available2016-02-08T10:16:07Zen_US
dc.date.issued2016en_US
dc.departmentDepartment of Economicsen_US
dc.description.abstractWe study marriage problems where two groups of agents, men and women, match each other and probabilistic assignments are possible. When only ordinal preferences are observable, stochastic dominance efficiency (sd-efficiency) is commonly used. First, we provide a characterization of sd-efficient allocations in terms of a property of an order relation defined on the set of man-woman pairs. Then, using this characterization, we constructively prove that for each probabilistic assignment that is sd-efficient for some ordinal preferences, there is a von Neumann-Morgenstern utility profile consistent with the ordinal preferences for which the assignment is Pareto efficient. Second, we show that when the preferences are strict, for each ordinal preference profile and each ex-post stable probabilistic assignment, there is a von Neumann-Morgenstern utility profile, consistent with the ordinal preferences, for which the assignment belongs to the core of the associated transferable utility game. © 2015 Elsevier Inc.en_US
dc.identifier.doi10.1016/j.geb.2015.12.001en_US
dc.identifier.eissn1090-2473
dc.identifier.issn0899-8256
dc.identifier.urihttp://hdl.handle.net/11693/23591en_US
dc.language.isoEnglishen_US
dc.publisherAcademic Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.geb.2015.12.001en_US
dc.source.titleGames and Economic Behavioren_US
dc.subjectEfficiencyen_US
dc.subjectMarriage problemsen_US
dc.subjectProbabilistic assignmenten_US
dc.subjectStabilityen_US
dc.titleEfficiency and stability of probabilistic assignments in marriage problemsen_US
dc.typeArticleen_US

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