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A classic trade-off that school districts face when deciding which matching algorithm to use is that it is not possible to always respect both priorities and preferences. The student-proposing deferred acceptance algorithm (DA) respects…

Theoretical Economics · Economics 2024-09-20 Estelle Cantillon , Li Chen , Juan S. Pereyra

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

The Deferred Acceptance algorithm is a popular school allocation mechanism thanks to its strategy proofness. However, with application costs, strategy proofness fails, leading to an identification problem. In this paper, I address this…

General Economics · Economics 2020-11-02 Shanjukta Nath

Who gains and who loses from a manipulable school-choice mechanism? Studying the outcomes of sincere and sophisticated students under the manipulable Boston Mechanism as compared with the strategy-proof Deferred Acceptance, we provide…

Computer Science and Game Theory · Computer Science 2020-06-12 Moshe Babaioff , Yannai A. Gonczarowski , Assaf Romm

The Deferred Acceptance Algorithm (DAA) is the most widely accepted and used algorithm to match students, workers, or residents to colleges, firms or hospitals respectively. In this paper, we consider for the first time, the complexity of…

Computer Science and Game Theory · Computer Science 2015-02-24 Haris Aziz , Hans Georg Seedig , Jana Karina von Wedel

Recent literature shows that dynamic matching mechanisms may outperform the standard mechanisms to deliver desirable results. We highlight an under-explored design dimension, the time constraints that students face under such a dynamic…

Theoretical Economics · Economics 2022-07-26 Li Chen , Juan S. Pereyra , Min Zhu

Many two-sided matching markets, from labor markets to school choice programs, use a clearinghouse based on the applicant-proposing deferred acceptance algorithm, which is well known to be strategy-proof for the applicants. Nonetheless, a…

Computer Science and Game Theory · Computer Science 2018-07-19 Itai Ashlagi , Yannai A. Gonczarowski

The Deferred Acceptance (DA) algorithm is stable and strategy-proof, but can produce outcomes that are Pareto-inefficient for students, and thus several alternative mechanisms have been proposed to correct this inefficiency. However, we…

Theoretical Economics · Economics 2025-06-16 Josue Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

School choice is the two-sided matching market where students (on one side) are to be matched with schools (on the other side) based on their mutual preferences. The classical algorithm to solve this problem is the celebrated deferred…

Computer Science and Game Theory · Computer Science 2021-09-21 Hugo Gimbert , Claire Mathieu , Simon Mauras

A run of the deferred acceptance (DA) algorithm may contain proposals that are sure to be rejected. We introduce the accelerated deferred acceptance algorithm that proceeds in a similar manner to DA but with sure-to-be rejected proposals…

Theoretical Economics · Economics 2024-09-13 Gregory Z. Gutin , Daniel Karapetyan , Philip R. Neary , Alexander Vickery , Anders Yeo

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

The Deferred Acceptance (DA) mechanism can generate inefficient placements. Although Pareto-dominant mechanisms exist, it remains unclear which and how many students could improve. We characterize the set of unimprovable students and show…

Theoretical Economics · Economics 2025-05-20 Josue Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

We study the design of information acquisition games-environments where a designer contracts their action on Sender's choice of experiment and the realized signals about some state-and identify which predictions can be made absent knowledge…

Theoretical Economics · Economics 2026-01-22 Eric Gao , Daniel Luo

In many reserve-based affirmative action systems, admission cutoffs are publicly disclosed to enable students to verify whether reserved seats are correctly assigned. We introduce a verifiability criterion: each student must be able to…

Theoretical Economics · Economics 2026-05-26 Xinquan Hu , Jun Zhang

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

Real-life applications of deferred-acceptance (DA) matching algorithms sometimes exhibit errors or changes to the matching inputs that are discovered only after the algorithm has been run and the results are announced to participants.…

Computer Science and Game Theory · Computer Science 2024-09-23 Abraham Gale , Amélie Marian , David M. Pennock

Inferring applicant preferences is fundamental in many analyses of school-choice data. Application mistakes make this task challenging. We propose a novel approach to deal with the mistakes in a deferred-acceptance matching environment. The…

General Economics · Economics 2023-09-26 Yeon-Koo Che , Dong Woo Hahm , YingHua He

In many machine learning applications, there are multiple decision-makers involved, both automated and human. The interaction between these agents often goes unaddressed in algorithmic development. In this work, we explore a simple version…

Machine Learning · Statistics 2018-09-10 David Madras , Toniann Pitassi , Richard Zemel

We examine the problem of assigning teachers to public schools over time when teachers have tenured positions and can work simultaneously in multiple schools. To do this, we investigate a dynamic many-to-many school choice problem where…

Theoretical Economics · Economics 2025-05-26 Adriana Amieva , Agustín G. Bonifacio , Pablo Neme

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
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