The strong core of housing markets with partial order preferences

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Authors: Ildikó Schlotter, Lydia Mirabel Mendoza-Cadena
Cited by: 0
References: 53

Abstract

We study the strong core of housing markets when agents' preferences over houses are expressed as partial orders. We provide a structural characterization of the strong core, and propose an efficient algorithm that finds an allocation in the strong core or decides that it is empty, even in the presence of forced and forbidden arcs. The algorithm satisfies the property of group-strategyproofness. Additionally, we show that certain results known for the strong core in the case when agents' preferences are weak orders can be extended to the setting with partial order preferences; among others, we show that the strong core in such housing markets satisfies the property of respecting improvements.

Fields of Study & Subjects

Housing Market and Economics

Publication details

Journal / source
Journal of Mathematical Economics
Publisher
Elsevier BV
Volume
126
Pages
103288–103288
Publication date
10 August 2026
Language
EN