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It is typical to assume that there is no conflict of interest among leaders. Under such assumption, it is known that, for a multi-agent system with two leaders, if the followers' interaction subgraph is undirected and connected, then…

Systems and Control · Computer Science 2014-10-28 Jingying Ma , Yuanshi Zheng , Bin Wu , Long Wang

We study a simple but compelling model of $n$ interacting agents via time-dependent, unidirectional communication. The model finds wide application in a variety of fields including synchronization, swarming and distributed decision making.…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau

We propose a model of mobile agents to construct social networks, based on a system of moving particles by keeping track of the collisions during their permanence in the system. We reproduce not only the degree distribution, clustering…

Physics and Society · Physics 2009-11-11 M. C. Gonzalez , P. G. Lind , H. J. Herrmann

We investigate consensus formation and flocking behavior in multi-agent systems subject to two distinct types of delays: a transmission delay accounting for information exchange between agents, and a reaction delay representing the…

Dynamical Systems · Mathematics 2026-04-22 Elisa Continelli , Jan Haskovec , Cristina Pignotti

We consider systems of agents interacting through topological interactions. These have been shown to play an important part in animal andhuman behavior. Precisely, the system consists of a finite number of particles characterized by their…

Mathematical Physics · Physics 2017-11-22 Adrien Blanchet , Pierre Degond

We study resilient leader-follower consensus of multi-agent systems (MASs) in the presence of adversarial agents, where agents' communication is modeled by time-varying topologies. The objective is to develop distributed algorithms for the…

Multiagent Systems · Computer Science 2024-11-18 Liwei Yuan , Hideaki Ishii

We present preliminary results on the problem of driving the dynamics of a group of agents, the herders, so as to steer the collective behaviour of another group of agents, the targets, interacting with them. We define this problem as the…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Andrea Lama , Mario Di Bernardo

All intelligence is collective intelligence, in the sense that it is made of parts which must align with respect to system-level goals. Understanding the dynamics which facilitate or limit navigation of problem spaces by aligned parts thus…

Statistical Mechanics · Physics 2026-05-18 Francesco Sacco , Dalton A R Sakthivadivel , Michael Levin

Collaborative decision making in multi-agent systems typically requires a predefined communication protocol among agents. Usually, agent-level observations are locally processed and information is exchanged using the predefined protocol,…

Multiagent Systems · Computer Science 2019-11-12 Homagni Saha , Vijay Venkataraman , Alberto Speranzon , Soumik Sarkar

In this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent systems. We formally show that for large graphs and specific…

Physics and Society · Physics 2026-05-15 Marco Nurisso , Matteo Raviola , Andrea Tosin

Most existing works on transportation dynamics focus on networks of a fixed structure, but networks whose nodes are mobile have become widespread, such as cell-phone networks. We introduce a model to explore the basic physics of…

Physics and Society · Physics 2015-05-30 Han-Xin Yang , Wen-Xu Wang , Yan-Bo Xie , Ying-Cheng Lai , Bing-Hong Wang

Fish, birds, insects and robots frequently swim or fly in groups. During their 3 dimensional collective motion, these agents do not stop, they avoid collisions by strong short-range repulsion, and achieve group cohesion by weak long-range…

Soft Condensed Matter · Physics 2018-07-04 Illes J. Farkas , Shuo-Hong Wang

In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent…

Probability · Mathematics 2025-07-24 Giuseppe D'Onofrio , Anderson Melchor Hernandez

A multiagent based model for a system of cooperative agents aiming at growth is proposed. This is based on a set of generalized Verhulst-Lotka-Volterra differential equations. In this study, strong cooperation is allowed among agents having…

Physics and Society · Physics 2016-06-08 L. F. Caram , C. F. Caiafa , M. Ausloos , A. N. Proto

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant

In complex financial systems, the sector structure and volatility clustering are respectively important features of the spatial and temporal correlations. However, the microscopic generation mechanism of the sector structure is not yet…

General Finance · Quantitative Finance 2015-04-09 Jun-Jie Chen , Lei Tan , Bo Zheng

A social choice procedure is modeled as a repeated Nash game between the social agents, who are communicating with each other through a social communication network modeled by an undirected graph. The agents' criteria for this game are…

Systems and Control · Computer Science 2021-03-02 Athanasios-Rafail Lagos , George P. Papavassilopoulos

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

Multiagent Systems · Computer Science 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

The dynamics of competing opinions in social network play an important role in society, with many applications in diverse social contexts as consensus, elections, morality and so on. Here we study a model of interacting agents connected in…

Physics and Society · Physics 2022-09-29 Antonio Mihara , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira
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