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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

The celebrated Efficiency-Adjusted Deferred Acceptance mechanism (EADA) improves the efficiency of the DA algorithm via consented priority violations. Notwithstanding its many merits, we show that EADA can improve only two students when an…

Theoretical Economics · Economics 2025-10-13 Taylor Knipe , Josue Ortega

Addressing the large inefficiencies generated by the Deferred Acceptance (DA) mechanism requires priority violations, but which ones are justifiable? The leading approach is to ask individuals if they consent to waive their priority…

Theoretical Economics · Economics 2026-04-09 Josué Ortega , R. Pablo Arribillaga

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

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

We study the distribution of envy in random matching markets under the Deferred Acceptance (DA) algorithm. Using tools from applied probability, we compute the expected number of proposing agents whom nobody envies and those who envy…

Theoretical Economics · Economics 2026-03-25 Josué Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

We conduct the first laboratory school choice experiment in which parents-the relevant decision makers in the field-are the experimental subjects. We compare Deferred Acceptance (DA) with two manipulable but potentially more efficient…

General Economics · Economics 2026-03-27 Mikhail Freer , Thilo Klein , Josué Ortega

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

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

The three most common school choice mechanisms are the Deferred Acceptance mechanism (DA), the classic Boston mechanism (BM), and a variant of the Boston mechanism where students automatically skip exhausted schools, which we call the…

Computer Science and Game Theory · Computer Science 2017-07-11 Timo Mennle , Sven Seuken

In a typical school choice application, the students have strict preferences over the schools while the schools have coarse priorities over the students based on their distance and their enrolled siblings. The outcome of a centralized…

Computer Science and Game Theory · Computer Science 2026-02-12 Haris Aziz , Péter Biró , Gergely Csáji , Tom Demeulemeester

In school choice problems, the motivation for students' welfare (efficiency) is restrained by concerns to respect schools' priorities (fairness). Among the fair matchings, even the best one in terms of welfare (SOSM) is inefficient.…

Theoretical Economics · Economics 2023-09-06 Mustafa Oguz Afacan , Umut Dur , A. Arda Gitmez , Özgür Yılmaz

In this work, we consider a school choice scenario where a student does not exactly know which college is better for her. Although it is hard for a student to obtain an exact preference, she can usually compare specific features of…

Computer Science and Game Theory · Computer Science 2026-02-16 Yao Zhang , Makoto Yokoo

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 stable matching problem sets the economic foundation of several practical applications ranging from school choice and medical residency to ridesharing and refugee placement. It is concerned with finding a matching between two disjoint…

Computer Science and Game Theory · Computer Science 2022-02-01 Angelina Brilliantova , Hadi Hosseini

In considering the college admissions problem, almost fifty years ago, Gale and Shapley came up with a simple abstraction based on preferences of students and colleges. They introduced the concept of stability and optimality; and proposed…

Computer Science and Game Theory · Computer Science 2011-05-04 Jian Liu , Dah Ming Chiu

We conduct an incentivized lab experiment to test participants' ability to understand the DA matching mechanism and the strategyproofness property, conveyed in different ways. We find that while many participants can (using a novel GUI)…

General Economics · Economics 2024-09-30 Yannai A. Gonczarowski , Ori Heffetz , Guy Ishai , Clayton Thomas

Consider a university assigning students to courses and dorms. While many mechanisms are available, they each have their own drawbacks. Running serial dictatorship once for all goods is highly unfair, but running serial dictatorship…

Theoretical Economics · Economics 2026-03-19 Eric Gao

This paper explores many-to-one matching models, both with and without contracts, where doctors' preferences are private and hospitals' preferences are public and substitutable. It is known that any stable-dominating mechanism --which is…

Theoretical Economics · Economics 2024-10-17 R. Pablo Arribillaga , E. Pepa Risma

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
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