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We address the following dynamic version of the school choice question: a city, named City, admits students in two temporally-separated rounds, denoted $\mathcal{R}_1$ and $\mathcal{R}_2$. In round $\mathcal{R}_1$, the capacity of each…

Computer Science and Game Theory · Computer Science 2020-07-24 Karthik Gajulapalli , James Liu , Tung Mai , Vijay V. Vazirani

Proportional ranking rules aggregate approval-style preferences of agents into a collective ranking such that groups of agents with similar preferences are adequately represented. Motivated by the application of live Q&A platforms, where…

Computer Science and Game Theory · Computer Science 2021-05-18 Jonas Israel , Markus Brill

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

Stable matching in a community consisting of men and women is a classical combinatorial problem that has been the subject of intense theoretical and empirical study since its introduction in 1962 in a seminal paper by Gale and Shapley, who…

Data Structures and Algorithms · Computer Science 2021-12-14 Hugo Gimbert , Claire Mathieu , Simon Mauras

Ranking has always been one of the top concerns in information retrieval researches. For decades, the lexical matching signal has dominated the ad-hoc retrieval process, but solely using this signal in retrieval may cause the vocabulary…

Information Retrieval · Computer Science 2021-04-19 Jingtao Zhan , Jiaxin Mao , Yiqun Liu , Jiafeng Guo , Min Zhang , Shaoping Ma

We introduce a new algorithm for finding stable matchings in multi-sided matching markets. Our setting is motivated by a PhD market of students, advisors, and co-advisors, and can be generalized to supply chain networks viewed as $n$-sided…

Computer Science and Game Theory · Computer Science 2021-07-07 Maximilian Mordig , Riccardo Della Vecchia , Nicolò Cesa-Bianchi , Bernhard Schölkopf

In this paper, we study the problem of eliciting preferences of agents in the house allocation model. For this we build on a recent model of Hosseini et al.[AAAI'21] and focus on the task of eliciting preferences to find matchings which are…

Computer Science and Game Theory · Computer Science 2021-12-09 Jannik Peters

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 present a silent, self-stabilizing ranking protocol for the population protocol model of distributed computing, where agents interact in randomly chosen pairs to solve a common task. We are given $n$ anonymous agents, and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Petra Berenbrink , Robert Elsässer , Thorsten Götte , Lukas Hintze , Dominik Kaaser

In modern data center networks, thousands of hosts contend for shared link capacity; the scale of these systems makes centralized scheduling impractical. This article models such scheduling as a bipartite matching problem under…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Moonmoon Mohanty , Gautham Bolar , Preetam Patil , Ayalvadi Ganesh , Jean-Francois Chamberland , Parimal Parag

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

This paper introduces a novel measurement of informational size to school choice problems, which inherits its ideas from Mount and Reiter (1974). This concept measures a matching mechanism's information size by counting the maximal relevant…

Theoretical Economics · Economics 2024-07-17 Di Feng , Yun Liu

The assignment game models a housing market where buyers and sellers are matched, and transaction prices are set so that the resulting allocation is stable. Shapley and Shubik showed that every stable allocation is necessarily built on a…

Computer Science and Game Theory · Computer Science 2026-02-23 Emile Martinez , Felipe Garrido-Lucero , Umberto Grandi

In the past few years, several new matching models have been proposed and studied that take into account complex distributional constraints. Relevant lines of work include (1) school choice with diversity constraints where students have…

Computer Science and Game Theory · Computer Science 2020-02-18 Haris Aziz , Serge Gaspers , Zhaohong Sun , Toby Walsh

This paper studies decentralized re-equilibration following population shocks, such as worker exits or firm entries, in many-to-many matching markets with contracts under substitutable preferences. We show that restricting any pre-shock…

Theoretical Economics · Economics 2026-05-06 Yi-You Yang

Peer-to-peer ride-sharing platforms like Uber, Lyft, and DiDi have revolutionized the transportation industry and labor market. At its essence, these systems tackle the bipartite matching problem between two populations: riders and drivers.…

Multiagent Systems · Computer Science 2024-03-21 Rhea Acharya , Jessica Chen , Helen Xiao

Using school choice as a motivating example, we introduce a stylized model of a many-to-one matching market where the clearinghouse aims to implement contingent priorities, i.e., priorities that depend on the current assignment, to…

Computer Science and Game Theory · Computer Science 2024-09-10 Ignacio Rios , Federico Bobbio , Margarida Carvalho , Alfredo Torrico

Recently, preference optimization methods such as DPO have significantly enhanced large language models (LLMs) in wide tasks including dialogue and question-answering. However, current methods fail to account for the varying difficulty…

Computation and Language · Computer Science 2024-12-31 Jingyuan Ma , Rui Li , Zheng Li , Lei Sha , Zhifang Sui

Many-to-many matching with contracts is studied in the framework of revealed preferences. All preferences are described by choice functions that satisfy natural conditions. Under a no-externality assumption individual preferences can be…

Computer Science and Game Theory · Computer Science 2020-03-05 Daniel Lehmann

We focus on an online 2-stage problem, motivated by the following situation: consider a system where students shall be assigned to universities. There is a first round where some students apply, and a first (stable) matching $M_1$ has to be…

Data Structures and Algorithms · Computer Science 2023-05-03 Evripidis Bampis , Bruno Escoffier , Paul Youssef
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