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We study the decentralized multi-agent multi-armed bandit problem for agents that communicate with probability over a network defined by a $d$-regular graph. Every edge in the graph has probabilistic weight $p$ to account for the…

Machine Learning · Statistics 2021-10-12 Udari Madhushani , Naomi Ehrich Leonard

Random graphs offer a useful mathematical representation of a variety of real world complex networks. Exponential random graphs, for example, are particularly suited towards generating random graphs constrained to have specified statistical…

Statistical Mechanics · Physics 2026-02-09 Alessio Catanzaro , Diego Garlaschelli , Subodh P. Patil

We consider random-access networks where nodes represent servers with a queue and can be either active or inactive. A node deactivates at unit rate, while it activates at a rate that depends on its queue length, provided none of its…

Probability · Mathematics 2023-09-13 Sem C. Borst , Frank den Hollander , Francesca R. Nardi , Matteo Sfragara

Graphs are used in many disciplines to model the relationships that exist between objects in a complex discrete system. Researchers may wish to compare a network of interest to a "typical" graph from a family (or ensemble) of graphs which…

Combinatorics · Mathematics 2025-08-08 Catherine Greenhill

Cooperative multi-agent reinforcement learning faces significant challenges in effectively organizing agent relationships and facilitating information exchange, particularly when agents need to adapt their coordination patterns dynamically.…

Multiagent Systems · Computer Science 2025-05-26 Chiqiang Liu , Dazi Li

This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear dynamics. Two distributed adaptive dynamic consensus protocols are proposed, based on the relative output information of…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Xiangdong Liu , Wei Ren , Lihua Xie

We study the robustness properties of multiplex networks consisting of multiple layers of distinct types of links, focusing on the role of correlations between degrees of a node in different layers. We use generating function formalism to…

Physics and Society · Physics 2014-05-02 Byungjoon Min , Su Do Yi , Kyu-Min Lee , K. -I. Goh

This paper studies decentralized risk-sharing on networks. In particular, we consider a model where agents are nodes in a given network structure. Agents directly connected by edges in the network are referred to as friends. We study…

Optimization and Control · Mathematics 2026-03-13 Heather N. Fogarty , Sooie-Hoe Loke , Nicholas F. Marshall , Enrique A. Thomann

The rapid advancement of large language models (LLMs) has enabled the development of multi-agent systems where multiple LLM-based agents collaborate on complex tasks. However, existing systems often rely on centralized coordination, leading…

Multiagent Systems · Computer Science 2025-06-02 Yingxuan Yang , Huacan Chai , Shuai Shao , Yuanyi Song , Siyuan Qi , Renting Rui , Weinan Zhang

It has been recently proposed that the natural connectivity can be used to characterize efficiently the robustness of complex networks. The natural connectivity quantifies the redundancy of alternative routes in the network by evaluating…

Statistical Mechanics · Physics 2009-12-19 Jun Wu , Mauricio Barahona , Yuejin Tan , Hongzhong Deng

This paper addresses the distributed consensus design problem for linear multi-agent systems with directed communication graphs and external disturbances. Both the cases with strongly connected communication graphs and leader-follower…

Systems and Control · Computer Science 2015-02-03 Zhongkui Li , Zhisheng Duan

Large-scale multi-agent communication has long faced a scalability bottleneck: fully connected networks require quadratic complexity, yet existing sparse topologies rely on hand-crafted rules. This paper treats the communication graph…

Networking and Internet Architecture · Computer Science 2026-04-14 Jingkai Luo , Yulin Shao

A networked dynamical system is composed of subsystems interconnected through prescribed interactions. In many engineering applications, however, one subsystem can also affect others through "unintended" interactions that can significantly…

Systems and Control · Electrical Eng. & Systems 2020-09-10 Yili Qian , Domitilla Del Vecchio

We develop random graph models where graphs are generated by connecting not only pairs of vertices by edges but also larger subsets of vertices by copies of small atomic subgraphs of arbitrary topology. This allows the for the generation of…

Statistics Theory · Mathematics 2021-04-21 Anatol E. Wegner , Sofia Olhede

The necessary integration of renewable energy sources, combined with the expanding scale of power networks, presents significant challenges in controlling modern power grids. Traditional control systems, which are human and…

Machine Learning · Computer Science 2025-09-04 Carlo Fabrizio , Gianvito Losapio , Marco Mussi , Alberto Maria Metelli , Marcello Restelli

In multi-agent reinforcement learning, a commonly considered paradigm is centralized training with decentralized execution. However, in this framework, decentralized execution restricts the development of coordinated policies due to the…

Multiagent Systems · Computer Science 2024-12-30 Wenzhe Fan , Zishun Yu , Chengdong Ma , Changye Li , Yaodong Yang , Xinhua Zhang

Modern communication networks are inherently complex in nature. First of all, they have a large number of heterogeneous components. Secondly, their connectivity is extremely dynamic. Nodes can come and go, links can be removed and added…

Social and Information Networks · Computer Science 2017-08-08 Bisma S. Khan , Muaz A. Niazi

In this paper we investigate phenomena of spontaneous emergence or purposeful formation of highly organized structures in networks of related agents. We show that the formation of large organized structures requires exponentially large, in…

Cryptography and Security · Computer Science 2023-04-11 V. Liagkou , P. E. Nastou , P. Spirakis , Y. C. Stamatiou

We consider data with multiple observations or reports on a network in the case when these networks themselves are connected through some form of network ties. We could take the example of a cognitive social structure where there is another…

Social and Information Networks · Computer Science 2021-11-16 Johan Koskinen , Pete Jones , Darkhan Medeuov , Artem Antonyuk , Kseniia Puzyreva , Nikita Basov

We conduct a series of experiments designed to empirically demonstrate the effects of varying the structural features of a multi-agent emergent communication game framework. Specifically, we model the interactions (edges) between individual…

Artificial Intelligence · Computer Science 2020-08-04 Nicole Fitzgerald , Jacopo Tagliabue