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In the well-studied Stable Roommates problem, we seek a stable matching of agents into pairs, where no two agents prefer each other over their assigned partners. However, some instances of this problem are unsolvable, lacking any stable…

Computer Science and Game Theory · Computer Science 2025-07-08 Frederik Glitzner , David Manlove

Considering a group of users, each specifying individual preferences over categorical attributes, the problem of determining a set of objects that are objectively preferable by all users is challenging on two levels. First, we need to…

Databases · Computer Science 2015-10-01 Nikos Bikakis , Karim Benouaret , Dimitris Sacharidis

In the Stable Roommates Problem (SR), a set of $2n$ agents rank one another in a linear order. The goal is to find a matching that is stable: one that has no pair of agents who mutually prefer each other over their assigned partners. We…

Data Structures and Algorithms · Computer Science 2026-05-11 Christine T. Cheng , Will Rosenbaum

A scalable framework is developed to allocate radio resources across a large number of densely deployed small cells with given traffic statistics on a slow timescale. Joint user association and spectrum allocation is first formulated as a…

Information Theory · Computer Science 2017-01-13 Binnan Zhuang , Dongning Guo , Ermin Wei , Michael L. Honig

This paper studies a house allocation problem in a networked housing market, where agents can invite others to join the system in order to enrich their options. Top Trading Cycle is a well-known matching mechanism that achieves a set of…

Computer Science and Game Theory · Computer Science 2023-03-21 Youjia Zhang , Pingzhong Tang

We study the problem of allocating indivisible resources under the connectivity constraints of a graph $G$. This model, initially introduced by Bouveret et al. (published in IJCAI, 2017), effectively encompasses a diverse array of scenarios…

Computer Science and Game Theory · Computer Science 2024-08-27 Halvard Hummel , Ayumi Igarashi

Physical social encounters are governed by a set of socio-psychological behavioral rules with a high degree of uniform validity. Past research has shown how these rules or the resulting properties of the encounters (e.g. the geometry of…

Social and Information Networks · Computer Science 2014-09-30 Daniel Raumer , Christoph Fuchs , Georg Groh

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

Interactions among people or objects are often dynamic in nature and can be represented as a sequence of networks, each providing a snapshot of the interactions over a brief period of time. An important task in analyzing such evolving…

Social and Information Networks · Computer Science 2016-06-17 Leto Peel , Aaron Clauset

Various local search approaches have recently been applied to machine scheduling problems under multiple objectives. Their foremost consideration is the identification of the set of Pareto optimal alternatives. An important aspect of…

Artificial Intelligence · Computer Science 2008-09-02 Martin Josef Geiger

Objects rarely sit in isolation in human environments. As such, we'd like our robots to reason about how multiple objects relate to one another and how those relations may change as the robot interacts with the world. To this end, we…

Robotics · Computer Science 2023-03-20 Yixuan Huang , Adam Conkey , Tucker Hermans

We consider a problem where multiple agents must learn an action profile that maximises the sum of their utilities in a distributed manner. The agents are assumed to have no knowledge of either the utility functions or the actions and…

Systems and Control · Computer Science 2016-03-31 Chithrupa Ramesh , Marius Schmitt , John Lygeros

We consider the problem of collectively delivering some message from a specified source to a designated target location in a graph, using multiple mobile agents. Each agent has a limited energy which constrains the distance it can move.…

Data Structures and Algorithms · Computer Science 2020-08-27 Andreas Bärtschi , Jérémie Chalopin , Shantanu Das , Yann Disser , Barbara Geissmann , Daniel Graf , Arnaud Labourel , Matúš Mihalák

When a large collection of objects (e.g., robots, sensors, etc.) has to be deployed in a given environment, it is often required to plan a coordinated motion of the objects from their initial position to a final configuration enjoying some…

Data Structures and Algorithms · Computer Science 2014-07-03 Davide Bilò Luciano Gualà , Stefano Leucci , Guido Proietti

In the standard model of fair allocation of resources to agents, every agent has some utility for every resource, and the goal is to assign resources to agents so that the agents' welfare is maximized. Motivated by job scheduling, interest…

Computer Science and Game Theory · Computer Science 2024-03-08 Susobhan Bandopadhyay , Aritra Banik , Sushmita Gupta , Pallavi Jain , Abhishek Sahu , Saket Saurabh , Prafullkumar Tale

We study here the social network generated by the asynchronous visits, to a fixed set of sites, of mobile agents modelled as independent random walks on the plane lattice. The social network is constructed by assuming that a group of agents…

Physics and Society · Physics 2025-11-17 Paolo Cermelli , Silvia Marchese , Laura Sacerdote , Cristina Zucca

This work considers the distributed computation of the one-to-one vertex correspondences between two undirected and connected graphs, which is called \textit{graph matching}, over multi-agent networks. Given two \textit{isomorphic} and…

Optimization and Control · Mathematics 2020-02-21 Quoc Van Tran , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

The advent of deep learning and recurrent neural networks revolutionized the field of time-series processing. Therefore, recent research on spectrum prediction has focused on the use of these tools. However, spectrum prediction, which…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Vincent Corlay , Tatsuya Nakazato , Kanako Yamaguchi , Akinori Nakajima

The advent of online social networks has facilitated fast and wide spread of information. However, some users, especially members of minority groups, may be less likely to receive information spreading on the network, due to their…

Social and Information Networks · Computer Science 2025-12-18 Changan Liu , Xiaotian Zhou , Ahad N. Zehmakan , Zhongzhi Zhang

This paper studies a general class of social choice problems in which agents' payoff functions (or types) are privately observable random variables, and monetary transfers are not available. We consider cardinal social choice functions…

Theoretical Economics · Economics 2024-08-20 Kazuya Kikuchi , Yukio Koriyama