Matching with Committee Preferences

Fuente: arXiv
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Autores principales: Song, Haoyu, Nguyen, Thanh, Lin, Young-san
Formato: Preprint
Publicado: 2026
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author Song, Haoyu
Nguyen, Thanh
Lin, Young-san
author_facet Song, Haoyu
Nguyen, Thanh
Lin, Young-san
contents We study a many-to-one matching model inspired by school choice, where schools evaluate applicants using multiple rankings rather than a single priority order. We model each school's evaluation with social choice criteria to reflect the school's internal ranking process. In particular, we define acceptable choices as candidates ranked above a top percentile of the accepted cohort by a sufficient number of evaluators. Stability is then defined in terms of acceptability: accepted candidates must receive strong support, while rejected candidates receive at most weak support. Since exact acceptability and stability may not exist, we construct approximately stable outcomes using a new equilibrium concept that combines matching with a Lindahl equilibrium over ordinal preferences, providing a flexible, equilibrium-based framework for committee-based matching markets.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19009
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Matching with Committee Preferences
Song, Haoyu
Nguyen, Thanh
Lin, Young-san
Computer Science and Game Theory
We study a many-to-one matching model inspired by school choice, where schools evaluate applicants using multiple rankings rather than a single priority order. We model each school's evaluation with social choice criteria to reflect the school's internal ranking process. In particular, we define acceptable choices as candidates ranked above a top percentile of the accepted cohort by a sufficient number of evaluators. Stability is then defined in terms of acceptability: accepted candidates must receive strong support, while rejected candidates receive at most weak support. Since exact acceptability and stability may not exist, we construct approximately stable outcomes using a new equilibrium concept that combines matching with a Lindahl equilibrium over ordinal preferences, providing a flexible, equilibrium-based framework for committee-based matching markets.
title Matching with Committee Preferences
topic Computer Science and Game Theory
url https://arxiv.org/abs/2602.19009