OxTalks will soon move to the new Halo platform and will become 'Oxford Events.' There will be a need for an OxTalks freeze. This was previously planned for Friday 14th November – a new date will be shared as soon as it is available (full details will be available on the Staff Gateway).
In the meantime, the OxTalks site will remain active and events will continue to be published.
If staff have any questions about the Oxford Events launch, please contact halo@digital.ox.ac.uk
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docs.google.com/spreadsheets/d/1t147hTaa3u0f4TcsAmhz2TXceVzEh6×73LrUVIYxHDM/edit?usp=sharing
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:
