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Related papers: Reaching Individually Stable Coalition Structures

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We consider a coalition formation setting where each agent belongs to one of the two types, and agents' preferences over coalitions are determined by the fraction of the agents of their own type in each coalition. This setting differs from…

Computer Science and Game Theory · Computer Science 2019-03-04 Robert Bredereck , Edith Elkind , Ayumi Igarashi

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

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

In many economic, social and political situations individuals carry out activities in groups (coalitions) rather than alone and on their own. Examples range from households and sport clubs to research networks, political parties and trade…

Computer Science and Game Theory · Computer Science 2012-12-12 Gerhard J. Woeginger

Coalition formation is concerned with the question of how to partition a set of agents into disjoint coalitions according to their preferences. Deviating from most of the previous work, we consider an online variant of the problem, where…

Computer Science and Game Theory · Computer Science 2025-03-11 Martin Bullinger , René Romen

We study the formation of stable outcomes via simple dynamics in cardinal hedonic games, where the utilities of agents change over time depending on the history of the coalition formation process. Specifically, we analyze situations where…

Computer Science and Game Theory · Computer Science 2022-12-01 Niclas Boehmer , Martin Bullinger , Anna Maria Kerkmann

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

We consider a class of coalition formation games called hedonic games, i.e., games in which the utility of a player is completely determined by the coalition that the player belongs to. We first define the class of subset-additive hedonic…

Computer Science and Game Theory · Computer Science 2018-04-19 Warut Suksompong

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

Coalition formation over graphs is a well studied class of games whose players are vertices and feasible coalitions must be connected subgraphs. In this setting, the existence and computation of equilibria, under various notions of…

Computer Science and Game Theory · Computer Science 2024-08-22 Angelo Fanelli , Laurent Gourvès , Ayumi Igarashi , Luca Moscardelli

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

We study the computational complexity of finding stable outcomes in hedonic games, which are a class of coalition formation games. We restrict our attention to symmetric additively-separable hedonic games, which are a nontrivial subclass of…

Computer Science and Game Theory · Computer Science 2015-09-18 Martin Gairing , Rahul Savani

We study hedonic coalition formation games in which cooperation among the players is restricted by a graph structure: a subset of players can form a coalition if and only if they are connected in the given graph. We investigate the…

Computer Science and Game Theory · Computer Science 2016-03-22 Ayumi Igarashi , Edith Elkind

We propose an abstract approach to coalition formation that focuses on simple merge and split rules transforming partitions of a group of players. We identify conditions under which every iteration of these rules yields a unique partition.…

Computer Science and Game Theory · Computer Science 2009-03-03 Krzysztof R. Apt , Andreas Witzel

An important aspect in systems of multiple autonomous agents is the exploitation of synergies via coalition formation. In this paper, we solve various open problems concerning the computational complexity of stable partitions in additively…

Computer Science and Game Theory · Computer Science 2015-02-06 Haris Aziz , Felix Brandt , Hans Georg Seedig

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

Hedonic Games (HGs) are a classical framework modeling coalition formation of strategic agents guided by their individual preferences. According to these preferences, it is desirable that a coalition structure (i.e. a partition of agents…

Computer Science and Game Theory · Computer Science 2024-01-17 Simone Fioravanti , Michele Flammini , Bojana Kodric , Giovanna Varricchio

Computing stable partitions in hedonic games is a challenging task because there exist games in which stable outcomes do not exist. Even more, these No-instances can often be leveraged to prove computational hardness results. We make this…

Computer Science and Game Theory · Computer Science 2025-11-17 Valentin Zech , Martin Bullinger

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

A community needs to be partitioned into disjoint groups; each community member has an underlying preference over the groups that they would want to be a member of. We are interested in finding a stable community structure: one where no…

Computer Science and Game Theory · Computer Science 2018-11-13 Ayumi Igarashi , Jakub Sliwinski , Yair Zick
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