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In this paper, we examine \emph{hedonic coalition formation games} in which each player's preferences over partitions of players depend only on the members of his coalition. We present three main results in which restrictions on the…

Computer Science and Game Theory · Computer Science 2012-01-24 Haris Aziz , Florian Brandl

In this paper, we study non-obvious manipulability (NOM), a relaxed form of strategyproofness, in the context of Hedonic Games (HGs) with Friends Appreciation (FA) preferences. In HGs, the aim is to partition agents into coalitions…

Computer Science and Game Theory · Computer Science 2025-01-03 Michele Flammini , Maria Fomenko , Giovanna Varricchio

Coalition formation studies how to partition a set of agents into disjoint coalitions under consideration of their preferences. We study the classical objective of stability in a variant of additively separable hedonic games where agents…

Computer Science and Game Theory · Computer Science 2026-02-25 Fabian Frank , Matija Novaković , René Romen

Partitioning a large group of employees into teams can prove difficult because unsatisfied employees may want to transfer to other teams. In this case, the team (coalition) formation is unstable and incentivizes deviation from the proposed…

Computer Science and Game Theory · Computer Science 2024-06-04 Martin Bullinger , Sonja Kraiczy

The formal study of coalition formation in multi-agent systems is typically realized in the framework of hedonic games, which originate from economic theory. The main focus of this branch of research has been on the existence and the…

Computer Science and Game Theory · Computer Science 2022-11-18 Felix Brandt , Martin Bullinger , Anaëlle Wilczynski

We continue and extend previous work on the parameterized complexity analysis of the NP-hard Stable Roommates with Ties and Incomplete Lists problem, thereby strengthening earlier results both on the side of parameterized hardness as well…

Computational Complexity · Computer Science 2021-03-09 Robert Bredereck , Klaus Heeger , Dušan Knop , Rolf Niedermeier

A set $S$ of vertices of a graph is a defensive alliance if, for each element of $S$, the majority of its neighbours are in $S$. We study the parameterized complexity of the Defensive Alliance problem, where the aim is to find a minimum…

Computational Complexity · Computer Science 2021-11-11 Ajinkya Gaikwad , Soumen Maity

A set $S$ of vertices of a graph is a defensive alliance if, for each element of $S$, the majority of its neighbours is in $S$. We consider the notion of local minimality in this paper. We are interested in locally minimal defensive…

Computational Complexity · Computer Science 2023-03-06 Ajinkya Gaikwad , Soumen Maity , Shuvam Kant Tripathi

We introduce friend- and enemy-oriented hedonic games with strangers (FOHGS and EOHGS respectively), two classes of hedonic games wherein agents are classified as friends, enemies, or strangers under the assumption that strangers will…

Computer Science and Game Theory · Computer Science 2024-09-26 TJ Schlueter , Makoto Yokoo

Hedonic games are a prominent model of coalition formation, in which each agent's utility only depends on the coalition she resides. The subclass of hedonic games that models the formation of general partnerships, where output is shared…

Computer Science and Game Theory · Computer Science 2022-05-25 Bugra Caskurlu , Fatih Erdem Kizilkaya

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

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

We revisit the complexity of the well-studied notion of Additively Separable Hedonic Games (ASHGs). Such games model a basic clustering or coalition formation scenario in which selfish agents are represented by the vertices of an…

Computer Science and Game Theory · Computer Science 2022-02-15 Tesshu Hanaka , Michael Lampis

Nguyen et al. [1] introduced altruistic hedonic games in which agents' utilities depend not only on their own preferences but also on those of their friends in the same coalition. We propose to extend their model to coalition formation…

Computer Science and Game Theory · Computer Science 2023-01-16 Anna Maria Kerkmann , Simon Cramer , Jörg Rothe

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

We study relationships between different relaxed notions of core stability in hedonic games, which are a class of coalition formation games. Our unified approach applies to a newly introduced family of hedonic games, called $\alpha$-hedonic…

Computer Science and Game Theory · Computer Science 2024-12-10 Tom Demeulemeester , Jannik Peters

We consider coalition formation games in which each player has preferences over the other players and his preferences over coalitions are based on the best player ($\mathcal{B}$-/B-hedonic games) or the worst player ($\mathcal{W}$/W-hedonic…

Computer Science and Game Theory · Computer Science 2011-12-06 Haris Aziz , Paul Harrenstein , Evangelia Pyrga

Partitioning a set of $n$ items or agents while maximizing the value of the partition is a fundamental algorithmic task. We study this problem in the specific setting of maximizing social welfare in additively separable hedonic games.…

Computer Science and Game Theory · Computer Science 2025-03-11 Martin Bullinger , Vaggos Chatziafratis , Parnian Shahkar

Hedonic games formalize coalition formation scenarios where players evaluate an outcome based on the coalition they are contained in. Due to a large number of possible coalitions, compact representations of these games are crucial. We…

Computer Science and Game Theory · Computer Science 2022-02-01 Anja Rey , Lisa Rey

We consider the coalition formation games with an additional component, `noisy preferences'. Moreover, such noisy preferences are available only for a sample of coalitions. We propose a multiplicative noise model and obtain the prediction…

Computer Science and Game Theory · Computer Science 2023-01-25 Prashant Trivedi , Nandyala Hemachandra