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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…

理论经济学 · 经济学 2023-03-15 SangMok Lee

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…

理论经济学 · 经济学 2025-06-16 Josue Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

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…

计算机科学与博弈论 · 计算机科学 2022-02-01 Angelina Brilliantova , Hadi Hosseini

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…

理论经济学 · 经济学 2024-10-18 Minoru Kitahara , Yasunori Okumura

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…

综合经济学 · 经济学 2026-03-27 Mikhail Freer , Thilo Klein , Josué Ortega

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…

计算机科学与博弈论 · 计算机科学 2015-02-24 Haris Aziz , Hans Georg Seedig , Jana Karina von Wedel

Centralized assignment markets have historically relied on Deferred-Acceptance (DA) algorithms, which do not incorporate multiple objectives into the assignment. In this work, we propose an optimization-based many-to-one assignment…

最优化与控制 · 数学 2025-09-19 Dimitris Bertsimas , Carol Gao

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.…

理论经济学 · 经济学 2025-04-15 Peter Doe

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…

理论经济学 · 经济学 2026-04-09 Josué Ortega , R. Pablo Arribillaga

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…

综合经济学 · 经济学 2025-12-24 Yeon-Koo Che , Julien Grenet , Yinghua He

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…

计算机科学与博弈论 · 计算机科学 2017-07-11 Timo Mennle , Sven Seuken

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…

计算机科学与博弈论 · 计算机科学 2026-02-16 Yao Zhang , Makoto Yokoo

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.…

计算机科学与博弈论 · 计算机科学 2024-09-23 Abraham Gale , Amélie Marian , David M. Pennock

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…

理论经济学 · 经济学 2025-10-13 Taylor Knipe , Josue Ortega

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…

理论经济学 · 经济学 2025-05-26 Adriana Amieva , Agustín G. Bonifacio , Pablo Neme

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…

理论经济学 · 经济学 2024-09-13 Gregory Z. Gutin , Daniel Karapetyan , Philip R. Neary , Alexander Vickery , Anders Yeo

In many applications such as rationing medical care and supplies, university admissions, and the assignment of public housing, the decision of who receives an allocation can be justified by various normative criteria. Such settings have…

计算机科学与博弈论 · 计算机科学 2023-05-30 Siddhartha Banerjee , Matthew Eichhorn , David Kempe

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…

理论经济学 · 经济学 2025-05-20 Josue Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

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…

人机交互 · 计算机科学 2021-01-27 Samantha Robertson , Tonya Nguyen , Niloufar Salehi

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…

计算机科学与博弈论 · 计算机科学 2011-05-04 Jian Liu , Dah Ming Chiu
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