English
Related papers

Related papers: The consensus problem for opinion dynamics with lo…

200 papers

This paper studies a consensus problem in multidimensional networks having the same agent-to-agent interaction pattern under both intra- and cross-layer time delays. Several conditions for the agents to asymptotically reach a consensus are…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Hoang Huy Vu , Quyen Ngoc Nguyen , Tuynh Van Pham , Chuong Van Nguyen , Minh Hoang Trinh

We study a stochastic model for the coevolution of a process of opinion formation in a population of agents and the network which underlies their interaction. Interaction links can break when agents fail to reach an opinion agreement. The…

Statistical Mechanics · Physics 2009-11-11 Santiago Gil , Damian H. Zanette

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

A hybrid model for opinion dynamics in complex multi-agent networks is introduced, wherein some continuous-valued agents average neighbors' opinions to update their own, while other discrete-valued agents use stochastic copying and voting…

Systems and Control · Computer Science 2019-04-01 Mengran Xue , Sandip Roy

We here discuss the process of opinion formation in an open community where agents are made to interact and consequently update their beliefs. New actors (birth) are assumed to replace individuals that abandon the community (deaths). This…

Physics and Society · Physics 2008-07-28 Timoteo Carletti , Duccio Fanelli , Alessio Guarino , Franco Bagnoli , Andrea Guazzini

We introduce a DeGroot-based model for opinion dynamics in social networks. A community of agents is represented as a weighted directed graph whose edges indicate how much agents influence one another. The model is formalized using labeled…

Social and Information Networks · Computer Science 2024-09-09 Jesús Aranda , Sebastián Betancourt , Juan Fco. Díaz , Frank Valencia

In opinion dynamics, time delays in agent-to-agent interactions are ubiquitous, which can substantially disrupt the dynamical processes rooted in agents' opinion exchange, decision-making, and feedback mechanisms. However, a thorough…

Optimization and Control · Mathematics 2025-01-22 Lingling Yao , Aming Li

We propose an agent-based model of collective opinion formation to study the wisdom of crowds under social influence. The opinion of an agent is a continuous positive value, denoting its subjective answer to a factual question. The wisdom…

Physics and Society · Physics 2020-08-25 Pavlin Mavrodiev , Frank Schweitzer

We introduce a 2-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of…

Statistical Mechanics · Physics 2009-11-10 P. L. Krapivsky , S. Redner

We study a process of opinion formation in a population of agents whose interaction pattern is defined on the basis of randomly distributed groups of three agents, or triplets -in contrast to networks, which are defined on the basis of…

Physics and Society · Physics 2015-05-13 Damian H. Zanette

We study the continuum opinion dynamics of the compromise model of Krause and Hegselmann for a community of mutually interacting agents, by solving numerically a rate equation. The opinions are here represented by bidimensional vectors with…

Physics and Society · Physics 2009-11-11 Santo Fortunato , Vito Latora , Alessandro Pluchino , Andrea Rapisarda

We propose an opinion dynamics model in which agents gradually increase their own self-confidence while interacting with each other. The relations between the newly proposed model and existing works of social learning, inertial opinion…

Optimization and Control · Mathematics 2016-09-20 Chu Wang

We study a time-delayed variant of the Hegselmann-Krause opinion formation model featuring a small group of leaders and a large group of non-leaders. In this model, leaders influence all agents but only interact among themselves. At the…

Analysis of PDEs · Mathematics 2026-03-31 Young-Pil Choi , Chiara Cicolani , Cristina Pignotti

In this paper, we propose a new model for continuous time opinion dynamics on an evolving network. As opposed to existing models, in which the network typically evolves by discretely adding or removing edges, we instead propose a model for…

Physics and Society · Physics 2023-05-17 Andrew J. Nugent , Susana N. Gomes , Marie-Therese Wolfram

In this paper, we consider the consensus problem of dynamical multiple agents that communicate via a directed moving neighborhood random network. Each agent performs random walk on a weighted directed network. Agents interact with each…

Multiagent Systems · Computer Science 2015-05-14 Yilun Shang

In this paper consensus in second-order multi-agent systems with a non-periodic sampled-data exchange among agents is investigated. The sampling is random with bounded inter-sampling intervals. It is assumed that each agent has exact…

Systems and Control · Computer Science 2016-11-17 Mehran Zareh , Dimos V. Dimarogonas , Mauro Franceschelli , Karl Henrik Johansson , Carla Seatzu

This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution of social media contacts depend on agents' popularity and the prominence of their views.…

Optimization and Control · Mathematics 2026-03-04 Giacomo Albi , Elisa Calzola , Matteo Piu

This article deals with the consensus problem involving agents with time-varying singularities in the dynamics or communication in undirected graph networks. Existing results provide control laws which guarantee asymptotic consensus. These…

Systems and Control · Computer Science 2014-04-07 Nilanjan Roy Chowdhury , Srikant Sukumar

The rise of digital social media has strengthened the coevolution of public opinions and social interactions, that shape social structures and collective outcomes in increasingly complex ways. Existing literature often explores this…

Physics and Society · Physics 2024-09-20 Nataša Djurdjevac Conrad , Nhu Quang Vu , Sören Nagel

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