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Related papers: Capacity Modification in the Stable Matching Probl…

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We investigate how robust approval-based multiwinner voting rules are to small perturbations in the votes. In particular, we consider the extent to which a committee can change after we add/remove/swap one approval, and we consider the…

Computer Science and Game Theory · Computer Science 2026-01-28 Piotr Faliszewski , Grzegorz Gawron , Bartosz Kusek

Motivated by our collaboration with a major refugee resettlement agency in the U.S., we study a dynamic matching problem where each new arrival (a refugee case) must be matched immediately and irrevocably to one of the static resources (a…

Data Structures and Algorithms · Computer Science 2025-07-03 Kirk Bansak , Soonbong Lee , Vahideh Manshadi , Rad Niazadeh , Elisabeth Paulson

When consequential decisions are informed by algorithmic input, individuals may feel compelled to alter their behavior in order to gain a system's approval. Models of agent responsiveness, termed "strategic manipulation," analyze the…

Machine Learning · Computer Science 2019-05-13 Lily Hu , Nicole Immorlica , Jennifer Wortman Vaughan

An instance $I$ of the Stable Matching Problem (SMP) is given by a bipartite graph with a preference list of neighbors for every vertex. A swap in $I$ is the exchange of two consecutive vertices in a preference list. A swap can be viewed as…

Data Structures and Algorithms · Computer Science 2022-11-16 Eduard Eiben , Gregory Gutin , Philip R. Neary , Clément Rambaud , Magnus Wahlström , Anders Yeo

Automatic matching of job offers and job candidates is a major problem for a number of organizations and job applicants that if it were successfully addressed could have a positive impact in many countries around the world. In this context,…

Other Computer Science · Computer Science 2023-05-08 Jorge Martinez-Gil , Alejandra Lorena Paoletti , Mario Pichler

Motivated by data on coauthorships in scientific publications, we analyze a team formation process that generalizes matching models and network formation models, allowing for overlapping teams of heterogeneous size. We apply different…

Theoretical Economics · Economics 2022-11-29 Leonardo Boncinelli , Alessio Muscillo , Paolo Pin

The standard practice for training large language models involves packing multiple documents together to optimize computational efficiency. However, the impact of this process on the models' capabilities remains largely unexplored. To…

Computation and Language · Computer Science 2025-12-17 Gabriele Prato , Shagun Sodhani , Alessandro Sordoni , Sarath Chandar

In a carsharing system, a fleet of cars is distributed at stations in an urban area, customers can take and return cars at any time and station. For operating such a system in a satisfactory way, the stations have to keep a good ratio…

Data Structures and Algorithms · Computer Science 2015-11-10 Sahar Bsaybes , Sven O. Krumke , Alain Quilliot , Annegret K. Wagler , Jan-Thierry Wegener

In many two-sided markets, the parties to be matched have incomplete information about their characteristics. We consider the settings where the parties engaged are extremely patient and are interested in long-term partnerships. Hence, once…

Computer Science and Game Theory · Computer Science 2019-08-30 Kartik Ahuja , Mihaela van der Schaar

We study a practical two-sided matching problem of allocating children to daycare centers, which has significant social implications. We are cooperating with several municipalities in Japan and our goal is to devise a reliable and…

Computer Science and Game Theory · Computer Science 2024-01-17 Zhaohong Sun , Naoyuki Yamada , Yoshihiro Takenami , Daisuke Moriwaki , Makoto Yokoo

Configuration is a successful application area of Artificial Intelligence. In the majority of the cases, configuration systems focus on configuring one solution (configuration) that satisfies the preferences of a single user or a group of…

We study deviations by a group of agents in the three main types of matching markets: the house allocation, the marriage, and the roommates models. For a given instance, we call a matching $k$-stable if no other matching exists that is more…

Discrete Mathematics · Computer Science 2023-07-11 Haris Aziz , Gergely Csáji , Ágnes Cseh

We study the problem of matching agents who arrive at a marketplace over time and leave after d time periods. Agents can only be matched while they are present in the marketplace. Each pair of agents can yield a different match value, and…

Data Structures and Algorithms · Computer Science 2018-03-06 Itai Ashlagi , Maximilien Burq , Patrick Jaillet , Amin Saberi

In this work, we analyze the influence of a single strategic agent on the quality of the other agents' matchings in a matching market. We consider a stable matching problem with $n$ men and $n$ women when preferences are drawn uniformly…

Computer Science and Game Theory · Computer Science 2020-10-12 Ron Kupfer

We propose stochastic optimization methodologies for a staffing and capacity planning problem arising from home care practice. Specifically, we consider the perspective of a home care agency that must decide the number of caregivers to hire…

Optimization and Control · Mathematics 2022-03-29 Ridong Wang , Karmel S. Shehadeh , Xiaolei Xie , Lefei Li

We study the problem of finding solutions to the stable matching problem that are robust to errors in the input and we obtain a polynomial time algorithm for a special class of errors. In the process, we also initiate work on a new…

Data Structures and Algorithms · Computer Science 2018-12-17 Tung Mai , Vijay V. Vazirani

We introduce the framework of qualitative optimization problems (or, simply, optimization problems) to represent preference theories. The formalism uses separate modules to describe the space of outcomes to be compared (the generator) and…

Logic in Computer Science · Computer Science 2011-12-06 Wolfgang Faber , Mirosław Truszczyński , Stefan Woltran

This work addresses challenges in evaluating adaptive artificial intelligence (AI) models for medical devices, where iterative updates to both models and evaluation datasets complicate performance assessment. We introduce a novel approach…

Artificial Intelligence · Computer Science 2026-04-07 Alexis Burgon , Berkman Sahiner , Nicholas A Petrick , Gene Pennello , Ravi K Samala

We present a polynomial-time $\frac{3}{2}$-approximation algorithm for the problem of finding a maximum-cardinality stable matching in a many-to-many matching model with ties and laminar constraints on both sides. We formulate our problem…

Data Structures and Algorithms · Computer Science 2021-10-06 Yu Yokoi

In AI-assisted decision-making, effective hybrid (human-AI) teamwork is not solely dependent on AI performance alone, but also on its impact on human decision-making. While prior work studies the effects of model accuracy on humans, we…

Human-Computer Interaction · Computer Science 2022-02-25 Andi Peng , Besmira Nushi , Emre Kiciman , Kori Inkpen , Ece Kamar
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