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This chapter surveys the application of matching theory to school choice, motivated by the shift from neighborhood assignment systems to choice-based models. Since educational choice is not mediated by price, the design of allocation…

General Economics · Economics 2025-12-24 Yeon-Koo Che , Julien Grenet , Yinghua He

A vast majority of the school choice literature focuses on designing mechanisms to simultaneously assign students to many schools, and employs a "make it up as you go along" approach when it comes to each school's admissions policy. An…

Theoretical Economics · Economics 2021-04-20 Battal Dogan

We examine a controlled school choice model where students are categorized into different types, and the distribution of these types within a school influences its priority structure. This study provides a general framework that integrates…

Theoretical Economics · Economics 2025-03-25 Minoru Kitahara , Yasunori Okumura

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…

Theoretical Economics · Economics 2024-10-18 Minoru Kitahara , Yasunori Okumura

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

Machine Learning · Computer Science 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

In school choice, policymakers consolidate a district's objectives for a school into a priority ordering over students. They then face a trade-off between respecting these priorities and assigning students to more-preferred schools.…

Theoretical Economics · Economics 2025-04-15 Peter Doe

This article proposes a characterization of admissions markets that can predict the distribution of students at each school or college under both centralized and decentralized admissions paradigms. The characterization builds on recent…

Theoretical Economics · Economics 2021-07-06 Max Kapur

The school choice problem concerns the design and implementation of matching mechanisms that produce school assignments for students within a given public school district. In this note we define a simple student-optimal criterion that is…

Optimization and Control · Mathematics 2013-04-30 Sinan Aksoy , Adam Azzam , Chaya Coppersmith , Julie Glass , Gizem Karaali , Xueying Zhao , Xinjing Zhu

We introduce a novel family of mechanisms for constrained allocation problems which we call local priority mechanisms. These mechanisms are parameterized by a function which assigns a set of agents, the local compromisers, to every…

Theoretical Economics · Economics 2024-03-01 Joseph Root , David S. Ahn

Several countries successfully use centralized matching schemes for school or higher education assignment, or for entry-level labour markets. In this paper we explore the computational aspects of a possible similar scheme for assigning…

Data Structures and Algorithms · Computer Science 2015-01-26 Katarina Cechlarova , Tamas Fleiner , David F. Manlove , Iain McBride

This paper surveys the literature on theories of discrimination, focusing mainly on new contributions. Recent theories expand on the traditional taste-based and statistical discrimination frameworks by considering specific features of…

Theoretical Economics · Economics 2026-01-01 Paula Onuchic

Many schools in large urban districts have more applicants than seats. Centralized school assignment algorithms ration seats at over-subscribed schools using randomly assigned lottery numbers, non-lottery tie-breakers like test scores, or…

Econometrics · Economics 2021-01-05 Atila Abdulkadiroglu , Joshua D. Angrist , Yusuke Narita , Parag Pathak

This paper proposes a novel school choice system where schools are grouped into hierarchical bundles and offered to students as options for preference reports. By listing a bundle, a student seeks admission to any school within it without…

Theoretical Economics · Economics 2025-11-27 Lingbo Huang , Jun Zhang

We extend the seminal model of Pathak and S\"onmez (2008) to a setting with multiple school districts, each running its own separate centralized match, and focus on the case of two districts. In our setting, in addition to each student…

Computer Science and Game Theory · Computer Science 2025-11-18 Yannai A. Gonczarowski , Michael Yin , Shirley Zhang

The vast majority of US public school districts use school attendance boundaries to determine which student addresses are assigned to which schools. Existing work shows how redrawing boundaries can be a powerful policy lever for increasing…

The paper presents a study of local search heuristics in general and variable neighborhood search in particular for the resolution of an assignment problem studied in the practical work of universities. Here, students have to be assigned to…

Artificial Intelligence · Computer Science 2008-09-08 Martin Josef Geiger , Wolf Wenger

We evaluate the goal of maximizing the number of individuals matched to acceptable outcomes. We show that it implies incentive, fairness, and implementation impossibilities. Despite that, we present two classes of mechanisms that maximize…

Theoretical Economics · Economics 2020-12-03 Mustafa Oğuz Afacan , Inácio Bó , Bertan Turhan

In school choice, students make decisions based on their expectations of particular schools' suitability, and the decision to gather information about schools is influenced by the acceptance odds determined by the mechanism in place. We…

Theoretical Economics · Economics 2023-03-15 SangMok Lee

Across the United States, a growing number of school districts are turning to matching algorithms to assign students to public schools. The designers of these algorithms aimed to promote values such as transparency, equity, and community in…

Human-Computer Interaction · Computer Science 2021-01-27 Samantha Robertson , Tonya Nguyen , Niloufar Salehi

We provide optimal solutions to an institution that has distributional objectives when choosing from a set of applications based on merit (or priority). For example, in college admissions, administrators may want to admit a diverse class in…

Theoretical Economics · Economics 2025-06-05 Isa E. Hafalir , Fuhito Kojima , M. Bumin Yenmez , Koji Yokote
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