School Choice with Multiple Priorities

Fuente: arXiv
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Hauptverfasser: Kitahara, Minoru, Okumura, Yasunori
Format: Preprint
Veröffentlicht: 2023
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author Kitahara, Minoru
Okumura, Yasunori
author_facet Kitahara, Minoru
Okumura, Yasunori
contents This study considers a model where schools may have multiple priority orders on students, which may be inconsistent with each other. For example, in school choice systems, since the sibling priority and the walk zone priority coexist, the priority orders based on them would be conflicting. We introduce a weaker fairness notion called M-fairness to examine such markets. Further, we focus on a more specific situation where all schools have only two priority orders, and for a certain group of students, a priority order of each school is an improvement of the other priority order of the school. An illustrative example is the school choice matching market with a priority-based affirmative action policy. We introduce a mechanism that utilizes the efficiency adjusted deferred acceptance algorithm and show that the mechanism satisfies properties called responsiveness to improvements and improved-group optimally M-stability, which is stronger than student optimally M-stability.
format Preprint
id arxiv_https___arxiv_org_abs_2308_04780
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle School Choice with Multiple Priorities
Kitahara, Minoru
Okumura, Yasunori
Theoretical Economics
This study considers a model where schools may have multiple priority orders on students, which may be inconsistent with each other. For example, in school choice systems, since the sibling priority and the walk zone priority coexist, the priority orders based on them would be conflicting. We introduce a weaker fairness notion called M-fairness to examine such markets. Further, we focus on a more specific situation where all schools have only two priority orders, and for a certain group of students, a priority order of each school is an improvement of the other priority order of the school. An illustrative example is the school choice matching market with a priority-based affirmative action policy. We introduce a mechanism that utilizes the efficiency adjusted deferred acceptance algorithm and show that the mechanism satisfies properties called responsiveness to improvements and improved-group optimally M-stability, which is stronger than student optimally M-stability.
title School Choice with Multiple Priorities
topic Theoretical Economics
url https://arxiv.org/abs/2308.04780