A survey of the stable marriage problem and its variants

K Iwama, S Miyazaki - International conference on informatics …, 2008 - ieeexplore.ieee.org
The stable marriage problem is to find a matching between men and women, considering
preference lists in which each person expresses his/her preference over the members of the …

Geometric stable roommates

EM Arkin, SW Bae, A Efrat, K Okamoto… - Information Processing …, 2009 - Elsevier
We consider instances of the Stable Roommates problem that arise from geometric
representation of participants' preferences: a participant is a point in a metric space, and his …

Multidimensional stable roommates with master list

R Bredereck, K Heeger, D Knop… - … Conference on Web and …, 2020 - Springer
Since the early days of research in algorithms and complexity, the computation of stable
matchings is a core topic. While in the classic setting the goal is to match up two agents …

The three-dimensional stable roommates problem with additively separable preferences

M McKay, D Manlove - International Symposium on Algorithmic Game …, 2021 - Springer
Abstract The Stable Roommates problem involves matching a set of agents into pairs based
on the agents' strict ordinal preference lists. The matching must be stable, meaning that no …

Stable roommate problem with diversity preferences

N Boehmer, E Elkind - arXiv preprint arXiv:2004.14640, 2020 - arxiv.org
In the multidimensional stable roommate problem, agents have to be allocated to rooms and
have preferences over sets of potential roommates. We study the complexity of finding good …

Multi-dimensional stable roommates in 2-dimensional Euclidean space

J Chen, S Roy - arXiv preprint arXiv:2108.03868, 2021 - arxiv.org
We investigate the Euclidean $ d $-Dimensional Stable Roommates problem, which asks
whether a given set~ $ V $ of $ d\cdot n $ points from the 2-dimensional Euclidean space …

Optimum versus Nash-equilibrium in taxi ridesharing

L Foti, J Lin, O Wolfson - GeoInformatica, 2021 - Springer
Abstract In recent years, Transportation Network Companies (TNC) such as Uber and Lyft
have embraced ridesharing: a passenger who requests a ride may decide to save money in …

A roommate problem and room allocation in dormitories using mathematical modeling and multi-attribute decision-making techniques

A Khalili-Fard, R Tavakkoli-Moghaddam… - Journal of Modelling in …, 2024 - emerald.com
Purpose In recent decades, the student population in dormitories has increased notably,
primarily attributed to the growing number of international students. Dormitories serve as …

Solving the team composition problem in a classroom

F Manyà, S Negrete, C Roig… - Fundamenta …, 2020 - content.iospress.com
Given a classroom containing a fixed number of students and a fixed number of tables that
can be of different sizes, as well as a list of preferred classmates to sit with for each student …

Envy-freeness in 3D hedonic games

M McKay, Á Cseh, D Manlove - Autonomous Agents and Multi-Agent …, 2024 - Springer
We study the problem of fairly partitioning a set of agents into coalitions based on the agents'
additively separable preferences, which can also be viewed as a hedonic game. We study …