Consistency and its Converse for Roommate Markets

Bettina Klaus ()

Cahiers de Recherches Economiques du Département d'économie from Université de Lausanne, Faculté des HEC, Département d’économie

Abstract: For classical marriage markets with equal numbers of men and women and where all men find all women acceptable and all women find all men acceptable, Sasaki and Toda (1992) characterized the core by same-side anonymity for marriage markets, Pareto optimality, consistency, and converse consistency. Nizamogullari and Ozkal-Sanver (2014) generalized this result to the domain of classical marriage markets by adding individual rationality and replacing same-side anonymity for marriage markets with a stronger property called gender fairness. We generalize both results by characterizing the core on the domain of solvable roommate markets without so-called ``3-rings'' (and on the domain of marriage markets) by individual rationality, anonymity, Pareto optimality, consistency, and converse consistency. We also prove that extending this characterization to the domain of solvable roommate markets is not possible.

Keywords: Converse Consistency; Core; Marriage and Roommate Markets (search for similar items in EconPapers)
JEL-codes: C78 D63 (search for similar items in EconPapers)
Pages: 33 pp.
Date: 2017-03
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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Related works:
Journal Article: Consistency and its converse for roommate markets (2017)
Working Paper: Consistency and its Converse for Roommate Markets (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:lau:crdeep:17.03

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