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Related papers: Course Allocation with Credits via Stable Matching

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We introduce a new two-sided stable matching problem that describes the summer internship matching practice of an Australian university. The model is a case between two models of Kamada and Kojima on matchings with distributional…

Computer Science and Game Theory · Computer Science 2023-10-27 Haris Aziz , Anton Baychkov , Peter Biro

We provide a problem definition of the stable marriage problem for a general number of parties $p$ under a natural preference scheme in which each person has simple lists for the other parties. We extend the notion of stability in a natural…

Computer Science and Game Theory · Computer Science 2015-09-11 Jared D. Lichtman

There are growing concerns that algorithms, which increasingly make or influence important decisions pertaining to individuals, might produce outcomes that discriminate against protected groups. We study such fairness concerns in the…

Computers and Society · Computer Science 2021-11-23 Gili Karni , Guy N. Rothblum , Gal Yona

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 stable marriage and roommates problems, a set of agents is given, each of them having a strictly ordered preference list over some or all of the other agents. A matching is a set of disjoint pairs of mutually accepted agents. If any…

Discrete Mathematics · Computer Science 2016-06-01 Ágnes Cseh , David F. Manlove

Cooperative learning theory has shown that stable membership is a hallmark of effective work teams. According to relation strength and social network centrality, this paper proposes an approach to measure team stability reasons in…

Computers and Society · Computer Science 2014-01-27 Yanqing Wang , Hong Ge , Xiaojing Feng , Jie Yu

We study variants of the stable marriage and college admissions models in which the agents are allowed to express weak preferences over the set of agents on the other side of the market and the option of remaining unmatched. For the…

Computer Science and Game Theory · Computer Science 2017-03-31 Nevzat Onur Domaniç , Chi-Kit Lam , C. Gregory Plaxton

We study the course allocation problem, where universities assign course schedules to students. The current state-of-the-art mechanism, Course Match, has one major shortcoming: students make significant mistakes when reporting their…

Computer Science and Game Theory · Computer Science 2025-01-24 Ermis Soumalias , Behnoosh Zamanlooy , Jakob Weissteiner , Sven Seuken

The Stable Roommates problems are characterized by the preferences of agents over other agents as roommates. A solution is a partition of the agents into pairs that are acceptable to each other (i.e., they are in the preference lists of…

Artificial Intelligence · Computer Science 2025-07-29 Müge Fidan , Esra Erdem

We propose a new fairness notion, motivated by the practical challenge of allocating teaching assistants (TAs) to courses in a department. Each course requires a certain number of TAs and each TA has preferences over the courses they want…

Computer Science and Game Theory · Computer Science 2025-04-15 Pallavi Jain , Palash Jha , Shubham Solanki

Stability is a general notion that quantifies the sensitivity of a learning algorithm's output to small change in the training dataset (e.g. deletion or replacement of a single training sample). Such conditions have recently been shown to…

Machine Learning · Computer Science 2011-08-18 Stephane Ross , J. Andrew Bagnell

Model selection is a major challenge in non-parametric clustering. There is no universally admitted way to evaluate clustering results for the obvious reason that no ground truth is available. The difficulty to find a universal evaluation…

Machine Learning · Computer Science 2023-05-18 Alex Mourer , Florent Forest , Mustapha Lebbah , Hanane Azzag , Jérôme Lacaille

We consider the problem of creating fair course timetables in the setting of a university. Our motivation is to improve the overall satisfaction of individuals concerned (students, teachers, etc.) by providing a fair timetable to them. The…

Artificial Intelligence · Computer Science 2015-05-01 Moritz Mühlenthaler , Rolf Wanka

We introduce a generalized version of the famous Stable Marriage problem, now based on multi-modal preference lists. The central twist herein is to allow each agent to rank its potentially matching counterparts based on more than one…

Multiagent Systems · Computer Science 2018-01-10 Jiehua Chen , Rolf Niedermeier , Piotr Skowron

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

Universities regularly face the challenging task of assigning classes to thousands of students while considering their preferences, along with course schedules and capacities. Ensuring the effectiveness and fairness of course allocation…

Computer Science and Game Theory · Computer Science 2025-02-18 George Bissias , Cyrus Cousins , Paula Navarrete Diaz , Yair Zick

The stable matching problem sets the economic foundation of several practical applications ranging from school choice and medical residency to ridesharing and refugee placement. It is concerned with finding a matching between two disjoint…

Computer Science and Game Theory · Computer Science 2022-02-01 Angelina Brilliantova , Hadi Hosseini

We study the Stable Fixtures problem, a many-to-many generalisation of the classical non-bipartite Stable Roommates matching problem. Building on the foundational work of Tan on stable partitions, we extend his results to this significantly…

Data Structures and Algorithms · Computer Science 2025-07-08 Frederik Glitzner , David Manlove

Decision making is challenging when there is more than one criterion to consider. In such cases, it is common to assign a goodness score to each item as a weighted sum of its attribute values and rank them accordingly. Clearly, the ranking…

Databases · Computer Science 2018-12-20 Abolfazl Asudeh , H. V. Jagadish , Gerome Miklau , Julia Stoyanovich

We study stable matching problems where agents have multilayer preferences: There are $\ell$ layers each consisting of one preference relation for each agent. Recently, Chen et al. [EC '18] studied such problems with strict preferences,…

Computer Science and Game Theory · Computer Science 2022-05-17 Matthias Bentert , Niclas Boehmer , Klaus Heeger , Tomohiro Koana