Respecting priorities versus respecting preferences in school choice: when is there a trade-off?

Cantillon, Estelle - Chen, Li - Pereyra, Juan

Resumen:

A classic trade-off that school districts face when deciding which matching algorithm to use is that it is not possible to always respect both priorities and preferences. The student-proposing deferred acceptance algorithm (DA) respects priorities but can lead to inefficient allocations. We identify a new condition on school choice markets under which DA is efficient. Our condition generalizes earlier conditions by placing restrictions on how preferences and priorities relate to one another only on the parts that are relevant for the assignment. Whenever there is a unique allocation that respects priorities, our condition captures all the environments for which DA is efficient. We show through stylized examples and simulations that our condition significantly expands the range of known environments for which DA is efficient. We also discuss how our condition sheds light on existing empirical findings.


Detalles Bibliográficos
2024
Matching
Envyfreeness
Fairness
Efficiency
Priorities
Preferences
Mutually best pairs.
Inglés
Universidad de Montevideo
REDUM
https://hdl.handle.net/20.500.12806/2640
https://doi.org/10.1016/j.geb.2024.08.012
Acceso embargado
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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author Cantillon, Estelle
author2 Chen, Li
Pereyra, Juan
author2_role author
author
author_facet Cantillon, Estelle
Chen, Li
Pereyra, Juan
author_role author
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bitstream.checksumAlgorithm.fl_str_mv MD5
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bitstream.url.fl_str_mv http://redum.um.edu.uy/bitstream/20.500.12806/2640/1/2212.02881v3.pdf
http://redum.um.edu.uy/bitstream/20.500.12806/2640/2/license_rdf
http://redum.um.edu.uy/bitstream/20.500.12806/2640/3/license.txt
collection REDUM
dc.contributor.filiacion.es.fl_str_mv Pereyra, Juan S. Universidad de Montevideo, Uruguay
dc.creator.none.fl_str_mv Cantillon, Estelle
Chen, Li
Pereyra, Juan
dc.date.accessioned.none.fl_str_mv 2024-10-02T18:37:02Z
dc.date.available.none.fl_str_mv 2024-10-02T18:37:02Z
dc.date.embargoEnd.es.fl_str_mv 2026-12-01
dc.date.issued.es.fl_str_mv 2024
dc.description.abstract.none.fl_txt_mv A classic trade-off that school districts face when deciding which matching algorithm to use is that it is not possible to always respect both priorities and preferences. The student-proposing deferred acceptance algorithm (DA) respects priorities but can lead to inefficient allocations. We identify a new condition on school choice markets under which DA is efficient. Our condition generalizes earlier conditions by placing restrictions on how preferences and priorities relate to one another only on the parts that are relevant for the assignment. Whenever there is a unique allocation that respects priorities, our condition captures all the environments for which DA is efficient. We show through stylized examples and simulations that our condition significantly expands the range of known environments for which DA is efficient. We also discuss how our condition sheds light on existing empirical findings.
dc.format.extent.es.fl_str_mv pp. 82-96
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.doi.es.fl_str_mv https://doi.org/10.1016/j.geb.2024.08.012
dc.identifier.issn.es.fl_str_mv 0899-8256
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12806/2640
dc.language.iso.none.fl_str_mv eng
dc.publisher.es.fl_str_mv ScienceDirect
dc.relation.ispartof.es.fl_str_mv Games and Economic Behavior, vol. 148, 82-96
dc.rights.es.fl_str_mv Embargado
dc.rights.license.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source.none.fl_str_mv reponame:REDUM
instname:Universidad de Montevideo
instacron:Universidad de Montevideo
dc.subject.keyword.es.fl_str_mv Matching
Envyfreeness
Fairness
Efficiency
Priorities
Preferences
Mutually best pairs.
dc.title.none.fl_str_mv Respecting priorities versus respecting preferences in school choice: when is there a trade-off?
dc.type.es.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.es.fl_str_mv Aceptada
dc.type.version.none.fl_str_mv info:eu-repo/semantics/acceptedVersion
description A classic trade-off that school districts face when deciding which matching algorithm to use is that it is not possible to always respect both priorities and preferences. The student-proposing deferred acceptance algorithm (DA) respects priorities but can lead to inefficient allocations. We identify a new condition on school choice markets under which DA is efficient. Our condition generalizes earlier conditions by placing restrictions on how preferences and priorities relate to one another only on the parts that are relevant for the assignment. Whenever there is a unique allocation that respects priorities, our condition captures all the environments for which DA is efficient. We show through stylized examples and simulations that our condition significantly expands the range of known environments for which DA is efficient. We also discuss how our condition sheds light on existing empirical findings.
eu_rights_str_mv embargoedAccess
format article
id REDUM_0b85d0be5e28f9018fed462f04d51c5c
identifier_str_mv 0899-8256
instacron_str Universidad de Montevideo
institution Universidad de Montevideo
instname_str Universidad de Montevideo
language eng
network_acronym_str REDUM
network_name_str REDUM
oai_identifier_str oai:redum.um.edu.uy:20.500.12806/2640
publishDate 2024
reponame_str REDUM
repository.mail.fl_str_mv nolascoaga@um.edu.uy
repository.name.fl_str_mv REDUM - Universidad de Montevideo
repository_id_str 10501
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Embargado
http://creativecommons.org/licenses/by-nc-nd/4.0/
spelling Attribution-NonCommercial-NoDerivatives 4.0 InternacionalEmbargadohttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/embargoedAccess821e92a3-a572-48c7-a66c-5fd9aef50d316a4c7460-4261-44ad-a8ba-face254d3a7ef117db58-bcc8-4ad0-a55c-816ab5052a01Pereyra, Juan S. Universidad de Montevideo, Uruguay2024-10-02T18:37:02Z2024-10-02T18:37:02Z20242026-12-010899-8256https://hdl.handle.net/20.500.12806/2640https://doi.org/10.1016/j.geb.2024.08.012pp. 82-96application/pdfengScienceDirectGames and Economic Behavior, vol. 148, 82-96Respecting priorities versus respecting preferences in school choice: when is there a trade-off?ArtículoAceptadainfo:eu-repo/semantics/acceptedVersioninfo:eu-repo/semantics/articleA classic trade-off that school districts face when deciding which matching algorithm to use is that it is not possible to always respect both priorities and preferences. The student-proposing deferred acceptance algorithm (DA) respects priorities but can lead to inefficient allocations. We identify a new condition on school choice markets under which DA is efficient. Our condition generalizes earlier conditions by placing restrictions on how preferences and priorities relate to one another only on the parts that are relevant for the assignment. Whenever there is a unique allocation that respects priorities, our condition captures all the environments for which DA is efficient. We show through stylized examples and simulations that our condition significantly expands the range of known environments for which DA is efficient. We also discuss how our condition sheds light on existing empirical findings.MatchingEnvyfreenessFairnessEfficiencyPrioritiesPreferencesMutually best pairs.reponame:REDUMinstname:Universidad de Montevideoinstacron:Universidad de MontevideoCantillon, EstelleChen, LiPereyra, JuanORIGINAL2212.02881v3.pdf2212.02881v3.pdfapplication/pdf849130http://redum.um.edu.uy/bitstream/20.500.12806/2640/1/2212.02881v3.pdf189f0c5f3000c092c7f8ce5b82ca8ecdMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://redum.um.edu.uy/bitstream/20.500.12806/2640/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82117http://redum.um.edu.uy/bitstream/20.500.12806/2640/3/license.txt691ed290c8bf8671811a9242b7fc04b6MD5320.500.12806/26402024-10-02 15:37:02.249oai:redum.um.edu.uy:20.500.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Universidadhttps://um.edu.uy/https://redum.um.edu.uy/oai/requestnolascoaga@um.edu.uyUruguayopendoar:105012024-10-02T18:37:02REDUM - Universidad de Montevideofalse
spellingShingle Respecting priorities versus respecting preferences in school choice: when is there a trade-off?
Cantillon, Estelle
Matching
Envyfreeness
Fairness
Efficiency
Priorities
Preferences
Mutually best pairs.
status_str acceptedVersion
title Respecting priorities versus respecting preferences in school choice: when is there a trade-off?
title_full Respecting priorities versus respecting preferences in school choice: when is there a trade-off?
title_fullStr Respecting priorities versus respecting preferences in school choice: when is there a trade-off?
title_full_unstemmed Respecting priorities versus respecting preferences in school choice: when is there a trade-off?
title_short Respecting priorities versus respecting preferences in school choice: when is there a trade-off?
title_sort Respecting priorities versus respecting preferences in school choice: when is there a trade-off?
topic Matching
Envyfreeness
Fairness
Efficiency
Priorities
Preferences
Mutually best pairs.
url https://hdl.handle.net/20.500.12806/2640
https://doi.org/10.1016/j.geb.2024.08.012