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Related papers: Stability in Online Coalition Formation

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Hedonic games are an archetypal problem in coalition formation, where a set of selfish agents want to partition themselves into stable coalitions. In this work, we focus on two natural constraints on the possible outcomes. First, we require…

Computer Science and Game Theory · Computer Science 2026-03-24 Foivos Fioravantes , Harmender Gahlawat , Nikolaos Melissinos , Šimon Schierreich

In coalition formation games self-organized coalitions are created as a result of the strategic interactions of independent agents. For each couple of agents $(i,j)$, weight $w_{i,j}=w_{j,i}$ reflects how much agents $i$ and $j$ benefit…

Computer Science and Game Theory · Computer Science 2018-04-19 Gianpiero Monaco , Luca Moscardelli , Yllka Velaj

Additively separable hedonic games and fractional hedonic games have received considerable attention. They are coalition forming games of selfish agents based on their mutual preferences. Most of the work in the literature characterizes the…

Artificial Intelligence · Computer Science 2017-06-29 Michele Flammini , Gianpiero Monaco , Qiang Zhang

We study stability in additively separable hedonic games when coalition sizes have to respect fixed size bounds. We consider four classic notions of stability based on single-agent deviations, namely, Nash stability, individual stability,…

Computer Science and Game Theory · Computer Science 2025-10-15 Martin Bullinger , Adam Dunajski , Edith Elkind , Matan Gilboa

We revisit the coalition structure generation problem in which the goal is to partition the players into exhaustive and disjoint coalitions so as to maximize the social welfare. One of our key results is a general polynomial-time algorithm…

Computer Science and Game Theory · Computer Science 2011-06-21 Haris Aziz , Bart de Keijzer

Team formation is a core problem in AI. Remarkably, little prior work has addressed the problem of mechanism design for team formation, accounting for the need to elicit agents' preferences over potential teammates. Coalition formation in…

Computer Science and Game Theory · Computer Science 2015-01-06 Mason Wright , Yevgeniy Vorobeychik

Large Language Model (LLM) agents are increasingly deployed in multi-agent systems requiring strategic coordination. While recent work has analyzed LLM behavior in two-player games, coalition formation, where $n$ agents dynamically form…

Computer Science and Game Theory · Computer Science 2026-04-17 Dongxin Guo , Jikun Wu , Siu-Ming Yiu

Hedonic games provide a natural model of coalition formation among self-interested agents. The associated problem of finding stable outcomes in such games has been extensively studied. In this paper, we identify simple conditions on…

Computer Science and Game Theory · Computer Science 2015-07-14 Dominik Peters , Edith Elkind

Coalition formation is a fundamental type of interaction that involves the creation of coherent groupings of distinct, autonomous, agents in order to efficiently achieve their individual or collective goals. Forming effective coalitions is…

Multiagent Systems · Computer Science 2014-01-16 Talal Rahwan , Sarvapali Dyanand Ramchurn , Nicholas Robert Jennings , Andrea Giovannucci

Hedonic games are fundamental models for investigating the formation of coalitions among a set of strategic agents, where every agent has a certain utility for every possible coalition of agents it can be part of. To avoid the…

Computer Science and Game Theory · Computer Science 2026-02-17 Merlin de la Haye , Pascal Lenzner , Farehe Soheil , Marcus Wunderlich

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 two agents strictly prefer each other to their assigned partners. A…

Computer Science and Game Theory · Computer Science 2021-07-12 Michael McKay , David Manlove

Self-organization is a process where a stable pattern is formed by the cooperative behavior between parts of an initially disordered system without external control or influence. It has been introduced to multi-agent systems as an internal…

Artificial Intelligence · Computer Science 2021-05-27 Jieting Luo , Beishui Liao , John-Jules Meyer

Competing bimodal coalitions among a group of actors are discussed. First, a model from political sciences is revisited. Most of the model statements are found not to be contained in the model. Second, a new coalition model is built. It…

Condensed Matter · Physics 2015-06-25 Serge Galam

Hedonic games provide a general model of coalition formation, in which a set of agents is partitioned into coalitions, with each agent having preferences over which other players are in her coalition. We prove that with additively separable…

Computer Science and Game Theory · Computer Science 2017-06-05 Dominik Peters

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

Optimization and Control · Mathematics 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

The assignment of personnel to teams is a fundamental and ubiquitous managerial function, typically involving several objectives and a variety of idiosyncratic practical constraints. Despite the prevalence of this task in practice, the…

Optimization and Control · Mathematics 2018-04-03 Hoda Atef Yekta , David Bergman , Robert Day

We study coalition formation in the framework of hedonic games. There, a set of agents needs to be partitioned into disjoint coalitions, where agents have a preference order over coalitions. A partition is called popular if it does not lose…

Computer Science and Game Theory · Computer Science 2024-11-11 Martin Bullinger , Matan Gilboa

We study uncoordinated matching markets with additional local constraints that capture, e.g., restricted information, visibility, or externalities in markets. Each agent is a node in a fixed matching network and strives to be matched to…

Computer Science and Game Theory · Computer Science 2014-09-16 Martin Hoefer , Lisa Wagner

We consider a team formation setting where agents have varying levels of expertise in a global set of required skills, and teams are ranked with respect to how well the expertise of teammates complement each other. We model this setting as…

Computer Science and Game Theory · Computer Science 2020-11-04 Bugra Caskurlu , Fatih Erdem Kizilkaya , Berkehan Ozen

Incentive mechanism design is crucial for enabling federated learning. We deal with clustering problem of agents contributing to federated learning setting. Assuming agents behave selfishly, we model their interaction as a stable coalition…

Computer Science and Game Theory · Computer Science 2021-05-10 Cengis Hasan