Top trading cycles, consistency, and acyclic priorities for house allocation with existing tenants

Mehmet Karakaya, Bettina Klaus () and Jan Christoph Schlegel

Journal of Economic Theory, 2019, vol. 184, issue C

Abstract: We study the house allocation with existing tenants model (Abdulkadiroğlu and Sönmez, 1999) and consider rules that allocate houses based on priorities. We introduce a new acyclicity requirement and show that for house allocation with existing tenants a top trading cycles (TTC) rule is consistent if and only if its underlying priority structure satisfies our acyclicity condition. Next we give an alternative description of TTC rules based on ownership-adapted acyclic priorities in terms of two specific rules, YRMH-IGYT (you request my house - I get your turn) and efficient priority rules, that are applied in two steps. Moreover, even if no priority structure is a priori given, we show that a rule is a top trading cycles rule based on ownership-adapted acyclic priorities if and only if it satisfies Pareto-optimality, individual-rationality, strategy-proofness, consistency, and either reallocation-proofness or non-bossiness.

Keywords: Consistency; House allocation; Matching; Strategy-proofness; Top trading cycles (search for similar items in EconPapers)
JEL-codes: C78 D47 D70 D78 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Related works:
Working Paper: Top Trading Cycles, Consistency, and Acyclic Priorities for House Allocation with Existing Tenants (2019)
Working Paper: Top Trading Cycles, Consistency, and Acyclic Priorities for House Allocation with Existing Tenants (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:184:y:2019:i:c:s0022053119300997

DOI: 10.1016/j.jet.2019.104948

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