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Following up on purely theoretical work of Bredereck et al. [AAAI 2020], we contribute further theoretical insights into adapting stable two-sided matchings to change. Moreover, we perform extensive empirical studies hinting at numerous…

Computer Science and Game Theory · Computer Science 2021-12-14 Niclas Boehmer , Klaus Heeger , Rolf Niedermeier

Romantic courtship is often described as taking place in a dating market where men and women compete for mates, but the detailed structure and dynamics of dating markets have historically been difficult to quantify for lack of suitable…

Social and Information Networks · Computer Science 2018-08-20 Elizabeth E. Bruch , M. E. J. Newman

Caseworkers in foster care systems match waiting children to adoptive homes. We use dynamic matching market design to characterize a class of mechanisms that incentivize expedient matches that homes can accept or decline. We design…

Theoretical Economics · Economics 2025-08-18 Terence Highsmith

In discrete matching markets, substitutes and complements can be unidirectional between two groups of workers when members of one group are more important or competent than those of the other group for firms. We show that a stable matching…

Theoretical Economics · Economics 2021-08-31 Chao Huang

We revisit the discrete heterogeneous two-facility location problem, in which there is a set of agents that occupy nodes of a line graph, and have private approval preferences over two facilities. When the facilities are located at some…

Computer Science and Game Theory · Computer Science 2021-09-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

In this work we introduce an alternative model for the design and analysis of strategyproof mechanisms that is motivated by the recent surge of work in "learning-augmented algorithms". Aiming to complement the traditional approach in…

Computer Science and Game Theory · Computer Science 2022-04-05 Priyank Agrawal , Eric Balkanski , Vasilis Gkatzelis , Tingting Ou , Xizhi Tan

Bipartite matching problem is to study two disjoint groups of agents who need to be matched pairwise. It can be applied to many real-world scenarios and explain many social phenomena. In this article, we study the effect of competition on…

Physics and Society · Physics 2018-11-15 Yi-Xiu Kong , Guang-Hui Yuan , Lei Zhou , Rui-Jie Wu , Gui-Yuan Shi

A two-sided market consists of two sets of agents, each of whom have preferences over the other (Airbnb, Upwork, Lyft, Uber, etc.). We propose and analyze a repeated matching problem, where some set of matches occur on each time step, and…

Computer Science and Game Theory · Computer Science 2020-09-22 Sreenivas Gollapudi , Kostas Kollias , Benjamin Plaut

In two-sided matching market, when the regional constraints are present, the deferred acceptance (DA) algorithm suffers from undesirable inefficiency due to the artificial allocation of the regional caps among hospitals. We show that, given…

Theoretical Economics · Economics 2025-04-25 Elizabeth Nanami Aoi

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…

Optimization and Control · Mathematics 2025-09-19 Dimitris Bertsimas , Carol Gao

We study the classical problem of matching $n$ agents to $n$ objects, where the agents have ranked preferences over the objects. We focus on two popular desiderata from the matching literature: Pareto optimality and rank-maximality. Instead…

Computer Science and Game Theory · Computer Science 2021-04-15 Hadi Hosseini , Vijay Menon , Nisarg Shah , Sujoy Sikdar

We study truthful mechanisms for welfare maximization in online bipartite matching. In our (multi-parameter) setting, every buyer is associated with a (possibly private) desired set of items, and has a private value for being assigned an…

Computer Science and Game Theory · Computer Science 2024-02-20 Michal Feldman , Federico Fusco , Stefano Leonardi , Simon Mauras , Rebecca Reiffenhäuser

We consider a discrete-time bipartite matching model with random arrivals of units of supply and demand that can wait in queues located at the nodes in the network. A control policy determines which are matched at each time. The focus is on…

Discrete Mathematics · Computer Science 2016-06-28 Ana Bušić , Sean Meyn

This paper considers a scenario within the field of mechanism design without money where a mechanism designer is interested in selecting items with maximum total value under a knapsack constraint. The items, however, are controlled by…

Computer Science and Game Theory · Computer Science 2024-10-10 Javier Cembrano , Max Klimm , Martin Knaack

The standard two-sided and one-sided matching problems, and the closely related school choice problem, have been widely studied from an axiomatic viewpoint. A small number of algorithms dominate the literature. For two-sided matching, the…

Computer Science and Game Theory · Computer Science 2017-03-14 Jacky Lo , Mark C. Wilson

We propose a numerical algorithm for computing approximately optimal solutions of the matching for teams problem. Our algorithm is efficient for problems involving large number of agent categories and allows for non-discrete agent type…

Optimization and Control · Mathematics 2025-05-27 Ariel Neufeld , Qikun Xiang

Suppose that each member of a set of agents has a preference list of a subset of houses, possibly involving ties and each agent and house has their capacity denoting the maximum number of correspondingly agents/houses that can be matched to…

Data Structures and Algorithms · Computer Science 2011-01-04 Katarzyna Paluch

Our work introduces the effect of supply/demand imbalances into the literature on online matching with stochastic rewards in bipartite graphs. We provide a parameterized definition that characterizes instances as over- or undersupplied (or…

Data Structures and Algorithms · Computer Science 2025-02-12 Benjamin Barrientos , Daniel Freund , Daniela Saban

In many matching markets, one side "applies" to the other, and these applications are often expensive and time-consuming (e.g. students applying to college). It is tempting to think that making the application process easier should benefit…

Computer Science and Game Theory · Computer Science 2016-12-30 S. Matthew Weinberg , James Zou

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

Machine Learning · Computer Science 2026-05-14 Michael Vitali , Pierre Pinson