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Related papers: Partition-based Stability of Coalitional Games

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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

This paper studies the Nash stability in hedonic coalition formation games. We address the following issue: for a general problem formulation, is there any utility allocation method ensuring a Nash-stable partition? We propose the…

Computer Science and Game Theory · Computer Science 2017-11-02 Cengis Hasan , Jean-Marie Gorce , Eitan Altman

In many situations when people are assigned to coalitions, the utility of each person depends on the friends in her coalition. Additionally, in many situations, the size of each coalition should be bounded. This paper studies such coalition…

Computer Science and Game Theory · Computer Science 2024-02-14 Chaya Levinger , Noam Hazon , Sofia Simola , Amos Azaria

We consider a set of agents who have claims on an endowment that is not large enough to cover all claims. Agents can form coalitions but a minimal coalition size $\theta$ is required to have positive coalitional funding that is proportional…

Theoretical Economics · Economics 2024-09-02 Oihane Gallo , Bettina Klaus

A solution concept on a class of transferable utility coalitional games is a multifunction satisfying given criteria of economic rationality. Every solution associates a set of payoff allocations with a coalitional game. This general…

Combinatorics · Mathematics 2020-10-13 Tomáš Kroupa

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

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

Coalitional games are mathematical models suited to analyze scenarios where players can collaborate by forming coalitions in order to obtain higher worths than by acting in isolation. A fundamental problem for coalitional games is to single…

Computer Science and Game Theory · Computer Science 2013-07-19 Gianluigi Greco , Enrico Malizia , Luigi Palopoli , Francesco Scarcello

Competition and cooperation are inherent features of any multi-echelon supply chain. The interactions among the agents across the same echelon and that across various echelons influence the percolation of market demand across echelons. The…

Theoretical Economics · Economics 2024-01-11 Gurkirat Wadhwa , Tushar Shankar Walunj , Veeraruna Kavitha

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

We revisit games in partition function form, i.e. cooperative games where the payoff of a coalition depends on the partition of the entire set of players. We assume that each coalition computes its worth having probabilistic beliefs over…

Computer Science and Game Theory · Computer Science 2026-05-05 Paraskevas V. Lekeas , Giorgos Stamatopoulos

This article explores the coalitional stability of a new cooperative control policy for freeways and parallel queuing facilities with multiple servers. Based on predicted future delays per queue or lane, a VOT-heterogeneous population of…

Computer Science and Game Theory · Computer Science 2018-03-06 Roger Lloret-Batlle , R. Jayakrishnan

The matching game is a cooperative game where the value of every coalition is the maximum revenue of players in the coalition can make by forming pairwise disjoint partners. The multiple partners matching game generalizes the matching game…

Computer Science and Game Theory · Computer Science 2021-10-26 Han Xiao , Tianhang Lu , Qizhi Fang

We study coalitional games with exogenous uncertainty in the coalition value, in which each agent is allowed to have private samples of the uncertainty. As a consequence, the agents may have a different perception of stability of the grand…

Optimization and Control · Mathematics 2023-12-15 George Pantazis , Filiberto Fele , Filippo Fabiani , Sergio Grammatico , Kostas Margellos

Traditionally social sciences are interested in structuring people in multiple groups based on their individual preferences. This pa- per suggests an approach to this problem in the framework of a non- cooperative game theory. Definition of…

Optimization and Control · Mathematics 2017-05-02 Dmitry Levando

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

The core is a central solution concept in cooperative game theory, defined as the set of feasible allocations or payments such that no subset of agents has incentive to break away and form their own subgroup or coalition. However, it has…

We propose a class of cooperative games, called d Partitioned Compbinatorial Optimization Games (PCOGs). The input of PCOG consists of a set of agents and a combinatorial structure (typically a graph) with a fixed optimization goal on this…

Computer Science and Game Theory · Computer Science 2025-08-27 Jiehua Chen , Christian Hatschka , Sofia Simola

We consider a wireless network in which there is a transmitter and a set of users, all of whom want to download a popular file from the transmitter. Using the framework of cooperative game theory, we investigate conditions under which users…

Networking and Internet Architecture · Computer Science 2025-12-03 Anjali Yadav , Arya Agarwal , Alok Kumar , Tushar S. Muratkar , Gaurav S. Kasbekar

In networked communications nodes choose among available actions and benefit from exchanging information through edges, while continuous technological progress fosters system functionings that increasingly often rely on cooperation. Growing…

Computer Science and Game Theory · Computer Science 2018-09-10 Giovanni Rossi