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Top Trading Cycles, Consistency, and Acyclic Priorities for House Allocation with Existing Tenants

Bettina Klaus (), Jan Christoph Schlegel and Mehmet Karakaya

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

Abstract: We study the house allocation with existing tenants model (Abdulkadiroglu and Sonmez, 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 satis es our acyclicity condition. Next we give an alternative description of TTC rules based on ownership-adapted acyclic priorities in terms of two speci c rules,YRMH-IGYT (you request my house - I get your turn) and ecient 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 satis es 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)
Pages: 50 pp.
Date: 2019-10
New Economics Papers: this item is included in nep-des and nep-ure
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Citations: View citations in EconPapers (5)

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Related works:
Journal Article: Top trading cycles, consistency, and acyclic priorities for house allocation with existing tenants (2019) Downloads
Working Paper: Top Trading Cycles, Consistency, and Acyclic Priorities for House Allocation with Existing Tenants (2017) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:lau:crdeep:19.06

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