Matching with Generalized Sequential Choice Rules

Fuente: arXiv
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Autores principales: Aygün, Orhan, Turhan, Bertan
Formato: Preprint
Publicado: 2023
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author Aygün, Orhan
Turhan, Bertan
author_facet Aygün, Orhan
Turhan, Bertan
contents This paper studies a many-to-one matching between individuals and institutions where institutions comprise multiple divisions and face cross-divisional constraints. We introduce a parametrized family of choice rules, which we call generalized sequential (GSq), that encompasses many different choice rules encountered in practice and in market design literature. We show that the cumulative offer mechanism (COM) is the unique stable and strategy-proof mechanism in a matching problem where all institutions have a GSq choice rule. We present two real-world applications in which choice rules in the GSq family emerge naturally: affirmative action in India's public higher educational institutions and government jobs, and high school admissions in China.
format Preprint
id arxiv_https___arxiv_org_abs_2310_02660
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Matching with Generalized Sequential Choice Rules
Aygün, Orhan
Turhan, Bertan
Theoretical Economics
This paper studies a many-to-one matching between individuals and institutions where institutions comprise multiple divisions and face cross-divisional constraints. We introduce a parametrized family of choice rules, which we call generalized sequential (GSq), that encompasses many different choice rules encountered in practice and in market design literature. We show that the cumulative offer mechanism (COM) is the unique stable and strategy-proof mechanism in a matching problem where all institutions have a GSq choice rule. We present two real-world applications in which choice rules in the GSq family emerge naturally: affirmative action in India's public higher educational institutions and government jobs, and high school admissions in China.
title Matching with Generalized Sequential Choice Rules
topic Theoretical Economics
url https://arxiv.org/abs/2310.02660