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The coalition structure formation problem represents an active research area in multi-agent systems. A coalition structure is defined as a partition of the agents involved in a system into disjoint coalitions. The problem of finding the…

Artificial Intelligence · Computer Science 2010-04-19 Nicola Di Mauro , Teresa M. A. Basile , Stefano Ferilli , Floriana Esposito

Two fundamental algorithm-design paradigms are Tree Search and Dynamic Programming. The techniques used therein have been shown to complement one another when solving the complete set partitioning problem, also known as the coalition…

Multiagent Systems · Computer Science 2018-08-24 Talal Rahwan , Tomasz P. Michalak

We study the classical coalition structure generation (CSG) problem and compare the anytime behavior of three algorithmic paradigms: dynamic programming (DP), MILP branch-and-bound, and sparse relaxations based on greedy or $l_1$-type…

Computer Science and Game Theory · Computer Science 2025-12-29 Angshul Majumdar

Coalition structure generation (CSG), i.e. the problem of optimally partitioning a set of agents into coalitions to maximize social welfare, is a fundamental computational problem in multiagent systems. This problem is important for many…

Multiagent Systems · Computer Science 2025-02-17 Redha Taguelmimt , Samir Aknine , Djamila Boukredera , Narayan Changder , Tuomas Sandholm

Coalition formation is a key capability in multi-agent systems. An important problem in coalition formation is coalition structure generation: partitioning agents into coalitions to optimize the social welfare. This is a challenging problem…

Multiagent Systems · Computer Science 2024-07-24 Redha Taguelmimt , Samir Aknine , Djamila Boukredera , Narayan Changder , Tuomas Sandholm

We present a new Dynamic Programming (DP) formulation of the Coalition Structure Generation (CSG) problem based on imposing a hierarchical organizational structure over the agents. We show the efficiency of this formulation by deriving…

Multiagent Systems · Computer Science 2013-10-25 Meritxell Vinyals , Thomas Voice , Sarvapali Ramchurn , Nicholas R. Jennings

The problem of generating an optimal coalition structure for a given coalition game of rational agents is to find a partition that maximizes their social welfare and is known to be NP-hard. This paper proposes GCS-Q, a novel…

Quantum Physics · Physics 2023-08-08 Supreeth Mysore Venkatesh , Antonio Macaluso , Matthias Klusch

Robotic collectives for military and disaster response applications require coalition formation algorithms to partition robots into appropriate task teams. Collectives' missions will often incorporate tasks that require multiple high-level…

Multiagent Systems · Computer Science 2023-10-20 Grace Diehl , Julie A. Adams

This is a comprehensive review of the Greedy Randomized Adaptive Search Procedure (GRASP) metaheuristic and its hybridization with Path Relinking (PR) over the past two decades. GRASP with PR has become a widely adopted approach for solving…

Optimization and Control · Mathematics 2023-12-21 Manuel Laguna , Rafael Martí , Anna Martinez-Gavara , Sergio Perez-Peló , Mauricio G. C. Resende

Graphs can represent relational information among entities and graph structures are widely used in many intelligent tasks such as search, recommendation, and question answering. However, most of the graph-structured data in practice suffers…

Information Retrieval · Computer Science 2021-12-30 Hanxiong Chen , Yunqi Li , Shaoyun Shi , Shuchang Liu , He Zhu , Yongfeng Zhang

Given an attributed graph $G$ and a query node $q$, \underline{C}ommunity \underline{S}earch over \underline{A}ttributed \underline{G}raphs (CS-AG) aims to find a structure- and attribute-cohesive subgraph from $G$ that contains $q$.…

Social and Information Networks · Computer Science 2024-03-01 Yuxiang Wang , Shuzhan Ye , Xiaoliang Xu , Yuxia Geng , Zhenghe Zhao , Xiangyu Ke , Tianxing Wu

We study coalition structure generation (CSG) when coalition values are not given but must be learned from episodic observations. We model each episode as a sparse linear regression problem, where the realised payoff \(Y_t\) is a noisy…

Computer Science and Game Theory · Computer Science 2026-01-05 Angshul Majumdar

Coalition formation typically involves the coming together of multiple, heterogeneous, agents to achieve both their individual and collective goals. In this paper, we focus on a special case of coalition formation known as Graph-Constrained…

Coalition formation is a fundamental type of interaction that involves the creation of coherent groupings of distinct, autonomous, agents in order to efficiently achieve their individual or collective goals. Forming effective coalitions is…

Multiagent Systems · Computer Science 2014-01-16 Talal Rahwan , Sarvapali Dyanand Ramchurn , Nicholas Robert Jennings , Andrea Giovannucci

In this paper, we study the multi-robot task allocation problem where a group of robots needs to be allocated to a set of tasks so that the tasks can be finished optimally. One task may need more than one robot to finish it. Therefore the…

Multiagent Systems · Computer Science 2022-10-04 Ayan Dutta , Vladimir Ufimtsev , Asai Asaithambi

Randomized Greedy Algorithms (RGAs) are interesting approaches to solve problems whose structures are not well understood as well as problems in combinatorial optimization which incorporate the random processes and the greedy algorithms.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Pham Dinh Thanh , Huynh Thi Thanh Binh , Do Dinh Dac , Nguyen Binh Long , Le Minh Hai Phong

We give the first analysis of the computational complexity of {\it coalition structure generation over graphs}. Given an undirected graph $G=(N,E)$ and a valuation function $v:2^N\rightarrow\RR$ over the subsets of nodes, the problem is to…

Data Structures and Algorithms · Computer Science 2011-02-10 Thomas D. Voice , Maria Polukarov , Nicholas R. Jennings

We give the analysis of the computational complexity of coalition structure generation over graphs. Given an undirected graph G = (N,E) and a valuation function v : P(N) \to R over the subsets of nodes, the problem is to find a partition of…

Data Structures and Algorithms · Computer Science 2014-01-27 Thomas Voice , Maria Polukarov , Nicholas R. Jennings

We propose a universal Graph Neural Network architecture which can be trained as an end-2-end search heuristic for any Constraint Satisfaction Problem (CSP). Our architecture can be trained unsupervised with policy gradient descent to…

Artificial Intelligence · Computer Science 2022-08-23 Jan Tönshoff , Berke Kisin , Jakob Lindner , Martin Grohe

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

Optimization and Control · Mathematics 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang
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