Top Trading Cycles, Consistency, and Acyclic Priorities for House Allocation with Existing Tenants
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Abstract
We study the house allocation with existing tenants model (introduced by Abdulkadiroglu and Sonmez, 1999) and consider rules that allocate houses based on priorities. We introduce a new acyclicity requirement for the underlying priority structure which is based on the acyclicity conditions by Ergin (2002) and Kesten (2006) for house allocation with quotas and without existing tenants. We show that for house allocation with existing tenants a top trading cycles rules is consistent if and only if its underlying priority structure satisfies our acyclicity condition. 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, reallocation-proofness, and consistency.
Link to paper:
ideas.repec.org/p/lau/crdeep/17.12.html
Date:
11 May 2018, 14:15
Venue:
Manor Road Building, Manor Road OX1 3UQ
Venue Details:
IT Room
Speaker:
Bettina klaus (University of Lausanne)
Organising department:
Department of Economics
Organisers:
Anne Pouliquen (University of Oxford),
Erin Saunders (University of Oxford)
Part of:
Nuffield Economic Theory Seminar
Booking required?:
Not required
Audience:
Members of the University only
Editors:
Erin Saunders,
Anne Pouliquen,
Melis Clark
