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In this paper we consider stable matchings subject to assignment constraints. These are matchings that require certain assigned pairs to be included, insist that some other assigned pairs are not, and, importantly, are stable. Our main…

Theoretical Economics · Economics 2024-06-14 Gregory Gutin , Philip R. Neary , Anders Yeo

In a stable matching problem there are two groups of agents, with agents on one side having their individual preferences for agents on another side as a potential match. It is assumed silently that agents can freely and costlessly ``switch"…

Combinatorics · Mathematics 2025-07-22 Boris Pittel , Kirill Rudov

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

Optimization and Control · Mathematics 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

Stable matching is a fundamental problem studied both in economics and computer science. The task is to find a matching between two sides of agents that have preferences over who they want to be matched with. A matching is stable if no pair…

Computer Science and Game Theory · Computer Science 2024-03-11 Juho Hirvonen , Sara Ranjbaran

In this paper, we study the fundamental problem of finding a stable matching in two-sided matching markets. In the classic variant, it is assumed that both sides of the market submit a ranked list of all agents on the other side. However,…

Computer Science and Game Theory · Computer Science 2026-02-03 Samuel McCauley , Benjamin Moseley , Helia Niaparast , Shikha Singh

We introduce the problem of adapting a stable matching to forced and forbidden pairs. Specifically, given a stable matching $M_1$, a set $Q$ of forced pairs, and a set $P$ of forbidden pairs, we want to find a stable matching that includes…

Computer Science and Game Theory · Computer Science 2022-11-23 Niclas Boehmer , Klaus Heeger

We initiate the study of external manipulations in Stable Marriage by considering several manipulative actions as well as several manipulation goals. For instance, one goal is to make sure that a given pair of agents is matched in a stable…

Computer Science and Game Theory · Computer Science 2021-08-23 Niclas Boehmer , Robert Bredereck , Klaus Heeger , Rolf Niedermeier

I study how organisations choose selection procedures in a competitive environment. Two firms compete to hire candidates of unknown productivity from a common pool. Firms simultaneously post a selection procedure which consists of a test…

Theoretical Economics · Economics 2026-05-01 Nathan Hancart

Although many fairness criteria have been proposed for decision making, their long-term impact on the well-being of a population remains unclear. In this work, we study the dynamics of population qualification and algorithmic decisions…

Machine Learning · Computer Science 2020-10-24 Xueru Zhang , Ruibo Tu , Yang Liu , Mingyan Liu , Hedvig Kjellström , Kun Zhang , Cheng Zhang

The way that people make choices or exhibit preferences can be strongly affected by the set of available alternatives, often called the choice set. Furthermore, there are usually heterogeneous preferences, either at an individual level…

Computer Science and Game Theory · Computer Science 2020-08-04 Kiran Tomlinson , Austin R. Benson

In several two-sided markets, including labor and dating, agents typically have limited information about their preferences prior to mutual interactions. This issue can result in matching frictions, as arising in the labor market for…

Data Structures and Algorithms · Computer Science 2025-01-23 Itai Ashlagi , Jiale Chen , Mohammad Roghani , Amin Saberi

We consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

Computer Science and Game Theory · Computer Science 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

We use the reconfiguration framework to analyze problems that involve the rearrangement of items among groups. In various applications, a group of items could correspond to the files or jobs assigned to a particular machine, and the goal of…

Data Structures and Algorithms · Computer Science 2024-10-29 Jeffrey Kam , Shahin Kamali , Avery Miller , Naomi Nishimura

Flexibility is a cornerstone of operations management, crucial to hedge stochasticity in product demands, service requirements, and resource allocation. In two-sided platforms, flexibility is also two-sided and can be viewed as the…

General Economics · Economics 2026-03-24 Daniel Freund , Sébastien Martin , Jiayu Kamessi Zhao

In the context of decision making under explorable uncertainty, scheduling with testing is a powerful technique used in the management of computer systems to improve performance via better job-dispatching decisions. Upon job arrival, a…

Performance · Computer Science 2025-02-13 Jonatha Anselmi , Josu Doncel

Adaptive workloads can change on--the--fly the configuration of their jobs, in terms of number of processes. In order to carry out these job reconfigurations, we have designed a methodology which enables a job to communicate with the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Sergio Iserte , Rafael Mayo , Enrique S. Quintana-Orti , Vicenc Beltran , Antonio J. Peña

We study the existence of stable matchings when agents have choice correspondences instead of preference relations. We extend the framework of \cite{chambers2017choice} by weakening the path independence assumption. For many-to-many…

Theoretical Economics · Economics 2026-05-20 Varun Bansal , Mihir Bhattacharya , Ojasvi Khare

Assemblies of modular subsystems are being pressed into service to perform sensing, reasoning, and decision making in high-stakes, time-critical tasks in such areas as transportation, healthcare, and industrial automation. We address the…

Machine Learning · Computer Science 2019-05-15 Aditya Modi , Debadeepta Dey , Alekh Agarwal , Adith Swaminathan , Besmira Nushi , Sean Andrist , Eric Horvitz

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

Computer Science and Game Theory · Computer Science 2021-07-13 Vijay Menon , Kate Larson

Adding a capacity constraint to a hidden-action principal-agent problem results in the same set of Pareto optimal contracts as the unconstrained problem where output is scaled down by a constant factor. This scaling factor is increasing in…

Theoretical Economics · Economics 2024-12-03 Aubrey Clark