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We study stable matching problems with locality of information and control. In our model, each agent is a node in a fixed network and strives to be matched to another agent. An agent has a complete preference list over all other agents it…

Data Structures and Algorithms · Computer Science 2016-11-22 Martin Hoefer , Lisa Wagner

In the celebrated stable-matching problem, there are two sets of agents M and W, and the members of M only have preferences over the members of W and vice versa. It is usually assumed that each member of M and W is a single entity. However,…

Computer Science and Game Theory · Computer Science 2024-08-21 Leora Schmerler , Noam Hazon , Sarit Kraus

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

Several countries successfully use centralized matching schemes for school or higher education assignment, or for entry-level labour markets. In this paper we explore the computational aspects of a possible similar scheme for assigning…

Data Structures and Algorithms · Computer Science 2015-01-26 Katarina Cechlarova , Tamas Fleiner , David F. Manlove , Iain McBride

The stable marriage problem is a well-known problem of matching men to women so that no man and woman, who are not married to each other, both prefer each other. Such a problem has a wide variety of practical applications, ranging from…

Artificial Intelligence · Computer Science 2016-11-25 Maria Silvia Pini , Francesca Rossi , Brent Venable , Toby Walsh

In the stable marriage problem, a set of men and a set of women are given, each of whom has a strictly ordered preference list over the acceptable agents in the opposite class. A matching is called stable if it is not blocked by any pair of…

Discrete Mathematics · Computer Science 2019-07-25 Ágnes Cseh , Klaus Heeger

Focusing on the bipartite Stable Marriage problem, we investigate different robustness measures related to stable matchings. We analyze the computational complexity of computing them and analyze their behavior in extensive experiments on…

Computer Science and Game Theory · Computer Science 2024-08-20 Kimon Boehmer , Niclas Boehmer

A new class of multi agent single machine scheduling problems is introduced, where each job is associated with a self interested agent with a utility function decreasing in completion time. We aim to achieve a fair solution by maximizing…

Computer Science and Game Theory · Computer Science 2026-04-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy

Motivated by group-project distribution, we introduce and study stable matching under the constraint of applicants needing to share a location to be matched with the same institute, which we call the Location-Restricted Stable Matching…

Data Structures and Algorithms · Computer Science 2025-08-05 Garret Castro

Increasing aggregate diversity (or catalog coverage) is an important system-level objective in many recommendation domains where it may be desirable to mitigate the popularity bias and to improve the coverage of long-tail items in…

Information Retrieval · Computer Science 2020-06-09 Farzad Eskandanian , Bamshad Mobasher

We study the Popular Matching problem in multiple models, where the preferences of the agents in the instance may change or may be unknown/uncertain. In particular, we study an Uncertainty model, where each agent has a possible set of…

Computer Science and Game Theory · Computer Science 2025-06-06 Gergely Csáji

We study uncoordinated matching markets with additional local constraints that capture, e.g., restricted information, visibility, or externalities in markets. Each agent is a node in a fixed matching network and strives to be matched to…

Computer Science and Game Theory · Computer Science 2014-09-16 Martin Hoefer , Lisa Wagner

We introduce the {\sc classified stable matching} problem, a problem motivated by academic hiring. Suppose that a number of institutes are hiring faculty members from a pool of applicants. Both institutes and applicants have preferences…

Data Structures and Algorithms · Computer Science 2009-10-25 Chien-Chung Huang

When computing stable matchings, it is usually assumed that the preferences of the agents in the matching market are fixed. However, in many realistic scenarios, preferences change over time. Consequently, an initially stable matching may…

Computer Science and Game Theory · Computer Science 2022-11-09 Niclas Boehmer , Klaus Heeger , Rolf Niedermeier

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

In many circumstances there is a trade off between the number of voters and the time they can be given before having to make a decision since both aspects are costly. An example is the hiring of a committee with a fixed salary budget: more…

Theoretical Economics · Economics 2024-04-16 Gustaf Arrhenius , Klas Markström

The past few years have seen a surge of work on fairness in allocation problems where items must be fairly divided among agents having individual preferences. In comparison, fairness in settings with preferences on both sides, that is,…

Computer Science and Game Theory · Computer Science 2022-05-26 Shivika Narang , Arpita Biswas , Y Narahari

Mutual adaptation can significantly enhance overall task performance in human-robot co-transportation by integrating both the robot's and human's understanding of the environment. While human modeling helps capture humans' subjective…

Robotics · Computer Science 2025-03-13 Al Jaber Mahmud , Weizi Li , Xuan Wang

In a stable matching setting, we consider a query model that allows for an interactive learning algorithm to make precisely one type of query: proposing a matching, the response to which is either that the proposed matching is stable, or a…

Computer Science and Game Theory · Computer Science 2020-09-22 Ehsan Emamjomeh-Zadeh , Yannai A. Gonczarowski , David Kempe

We consider the two-sided stable matching setting in which there may be uncertainty about the agents' preferences due to limited information or communication. We consider three models of uncertainty: (1) lottery model --- in which for each…

Computer Science and Game Theory · Computer Science 2016-07-12 Haris Aziz , Péter Biró , Serge Gaspers , Ronald de Haan , Nicholas Mattei , Baharak Rastegari
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