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American Economic Review Vol. 114 No. 8 2024

Crowding in School Choice

William Phan1; Ryan Tierney2; Yu Zhou3

1 Department of Economics, North Carolina State University (email: ) · 2 Department of Economics, University of Southern Denmark (email: ) · 3 Graduate School of Economics, Nagoya University (email: )

Abstract

We consider the market design problem of matching students to schools in the presence of crowding effects. These effects are salient in parents’ decision-making and the empirical literature; however, they cause difficulties in the design of satisfactory mechanisms and, as such, are not currently considered. We propose a new framework and an equilibrium notion that accommodates crowding, no-envy, and respect for priorities. The equilibrium has a student-optimal element that induces an incentive-compatible mechanism and is implementable via a novel algorithm. Moreover, analogs of fundamental structural results of the matching literature (the rural hospitals theorem, welfare lattice, etc.) survive.

DOI
10.1257/aer.20220626
Volume
114
Issue
8
Pages
2526-2552
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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