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Additively separable hedonic games (ASHGs) are a prominent model of coalition formation where agents' preferences are derived from their individual valuations of peers. While social welfare maximization in ASHGs has traditionally focused…

Computer Science and Game Theory · Computer Science 2026-05-20 Marta Pagano , Alexander Schlenga

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

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

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

The additively separable hedonic game (ASHG) is a model of coalition formation games on graphs. In this paper, we intensively and extensively investigate the computational complexity of finding several desirable solutions, such as a Nash…

Computational Complexity · Computer Science 2019-10-23 Tesshu Hanaka , Hironori Kiya , Yasuhide Maei , Hirotaka Ono

Additively Separable Hedonic Game (ASHG) are coalition-formation games where we are given a graph whose vertices represent $n$ selfish agents and the weight of each edge $uv$ denotes how much agent $u$ gains (or loses) when she is placed in…

Data Structures and Algorithms · Computer Science 2024-02-19 Tesshu Hanaka , Noleen Köhler , Michael Lampis

Fractional hedonic games are coalition formation games where a player's utility is determined by the average value they assign to the members of their coalition. These games are a variation of graph hedonic games, which are a class of…

Computer Science and Game Theory · Computer Science 2023-10-10 Tesshu Hanaka , Airi Ikeyama , Hirotaka Ono

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 consider the complexity of maximizing egalitarian welfare in Friends and Enemies Games -- a subclass of hedonic games in which every agent partitions other agents into friends and enemies. We investigate two classic scenarios proposed in…

Computer Science and Game Theory · Computer Science 2025-12-24 Edith Elkind , Michele Flammini , Giovanna Varricchio

In many settings, there is an organizer who would like to divide a set of agents into $k$ coalitions, and cares about the friendships within each coalition. Specifically, the organizer might want to maximize utilitarian social welfare,…

Computer Science and Game Theory · Computer Science 2024-08-15 Hodaya Barr , Yohai Trabelsi , Sarit Kraus , Liam Roditty , Noam Hazon

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 study coalition formation in the framework of fractional hedonic games (FHGs). The objective is to maximize social welfare in an online model where agents arrive one by one and must be assigned to coalitions immediately and irrevocably.…

Computer Science and Game Theory · Computer Science 2025-10-22 Martin Bullinger , René Romen , Alexander Schlenga

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

In this paper, we study a variant of hedonic games, called \textsc{Seat Arrangement}. The model is defined by a bijection from agents with preferences for each other to vertices in a graph $G$. The utility of an agent depends on the…

Computer Science and Game Theory · Computer Science 2025-07-30 Hans L. Bodlaender , Tesshu Hanaka , Lars Jaffke , Hirotaka Ono , Yota Otachi , Tom C. van der Zanden

Consider a setting where selfish agents are to be assigned to coalitions or projects from a fixed set P. Each project k is characterized by a valuation function; v_k(S) is the value generated by a set S of agents working on project k. We…

Computer Science and Game Theory · Computer Science 2015-08-28 Elliot Anshelevich , Shreyas Sekar

We initiate the study of control in hedonic games, where an external actor influences coalition formation by adding or deleting agents. We consider three basic control goals (1) enforcing that an agent is not alone (NA); (2) enforcing that…

Computer Science and Game Theory · Computer Science 2026-02-24 Jiehua Chen , Jakob Guttmann , Merisa Mustajbašić , Sofia Simola

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

We consider an optimal partition of resources (e.g. consumers) between several agents (e.g. experts), given utility functions ("wisdoms") for the agents and their capacities. This problem is a variant of optimal transport…

Optimization and Control · Mathematics 2016-04-07 Gershon Wolansky

The emergence of new communication technologies allows us to expand our understanding of distributed control and consider collaborative decision-making paradigms. With collaborative algorithms, certain local decision-making entities (or…

Computer Science and Game Theory · Computer Science 2023-08-17 Bryce L. Ferguson , Dario Paccagnan , Bary S. R. Pradelski , Jason R. Marden

This paper proposes a novel game-theoretical autonomous decision-making framework to address a task allocation problem for a swarm of multiple agents. We consider cooperation of self-interested agents, and show that our proposed…

Multiagent Systems · Computer Science 2018-11-30 Inmo Jang , Hyo-Sang Shin , Antonios Tsourdos
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