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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

The research on coalitional games has focused on how to share the reward among a coalition such that players are incentivised to collaborate together. It assumes that the (deterministic or stochastic) characteristic function is known in…

Computer Science and Game Theory · Computer Science 2019-10-28 Dengji Zhao , Yiqing Huang , Liat Cohen , Tal Grinshpoun

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

Federated learning is a setting where agents, each with access to their own data source, combine models from local data to create a global model. If agents are drawing their data from different distributions, though, federated learning…

Computer Science and Game Theory · Computer Science 2020-12-18 Kate Donahue , Jon Kleinberg

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

Boolean games are a succinct representation of strategic games wherein a player seeks to satisfy a formula of propositional logic by selecting a truth assignment to a set of propositional variables under his control. The framework has…

Computer Science and Game Theory · Computer Science 2017-02-14 Egor Ianovski

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

In this paper we address the problem of coalition formation in hedonic context. Our modelling tries to be as realistic as possible. In previous models, once an agent joins a coalition it would not be able to leave the coalition and join the…

Multiagent Systems · Computer Science 2013-08-16 Ahmadreza Ghaffarizadeh , Vicki H. Allan

We consider a setting where one has to organize one or several group activities for a set of agents. Each agent will participate in at most one activity, and her preferences over activities depend on the number of participants in the…

Computer Science and Game Theory · Computer Science 2014-02-03 Andreas Darmann , Edith Elkind , Sascha Kurz , Jérôme Lang , Joachim Schauer , Gerhard Woeginger

The preference graph is a combinatorial representation of the structure of a normal-form game. Its nodes are the strategy profiles, with an arc between profiles if they differ in the strategy of a single player, where the orientation…

Computer Science and Game Theory · Computer Science 2025-02-07 Oliver Biggar , Iman Shames

We introduce Boolean Observation Games, a subclass of multi-player finite strategic games with incomplete information and qualitative objectives. In Boolean observation games, each player is associated with a finite set of propositional…

Computer Science and Game Theory · Computer Science 2024-02-09 Hans van Ditmarsch , Sunil Simon

Data analytics allows an analyst to gain insight into underlying populations through the use of various computational approaches, including Monte Carlo methods. This paper discusses an approach to apply Monte Carlo methods to hedonic games.…

Theoretical Economics · Economics 2020-07-24 Andrew J. Collins , Sheida Etemadidavan , Wael Khallouli

In cooperative games, the core is the most popular solution concept, and its properties are well known. In the classical setting of cooperative games, it is generally assumed that all coalitions can form, i.e., they are all feasible. In…

Computer Science and Game Theory · Computer Science 2013-04-04 Michel Grabisch

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

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

Artificial agents are typically oriented to the realization of an externally assigned task and try to optimize over secondary aspects of plan execution such time lapse or power consumption, technically displaying a quasi-dichotomous…

Computer Science and Game Theory · Computer Science 2013-11-15 Paolo Turrini

Coalitional voting games appear in different forms in multi-agent systems, social choice and threshold logic. In this paper, the complexity of comparison of influence between players in coalitional voting games is characterized. The…

Computer Science and Game Theory · Computer Science 2008-09-04 Haris Aziz

In this work, we consider the design of Non-Obviously Manipulable (NOM) mechanisms, mechanisms that bounded rational agents may fail to recognize as manipulable, for two relevant classes of succinctly representable Hedonic Games: Additively…

Computer Science and Game Theory · Computer Science 2025-05-21 Diodato Ferraioli , Giovanna Varricchio

In cooperative game theory, games in partition function form are real-valued function on the set of so-called embedded coalitions, that is, pairs $(S,\pi)$ where $S$ is a subset (coalition) of the set $N$ of players, and $\pi$ is a…

Discrete Mathematics · Computer Science 2010-02-22 Michel Grabisch

Cooperative interval games are a generalized model of cooperative games in which the worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of…

Optimization and Control · Mathematics 2018-07-26 Jan Bok , Milan Hladík