English
Related papers

Related papers: Continuous opinion dynamics of multidimensional al…

200 papers

This paper introduces a heterogeneous multidimensional bounded confidence (BC) opinion dynamics with random pairwise interactions, whereby each pair of agents accesses each other's opinions with a specific probability. This revised model is…

Optimization and Control · Mathematics 2024-12-05 Jiangjiang Cheng , Ge Chen , Wenjun Mei , Francesco Bullo

People's opinions change with time as they interact with each other. In a bounded-confidence model (BCM) of opinion dynamics, individuals (which are represented by the nodes of a network) have continuous-valued opinions and are influenced…

Social and Information Networks · Computer Science 2024-07-30 Grace J. Li , Jiajie Luo , Mason A. Porter

In this work we study the coupled dynamics of social balance and opinion formation. We propose a model where agents form opinions under bounded confidence, but only considering the opinions of their friends. The signs of social ties…

Physics and Society · Physics 2016-10-11 Antonio Parravano , Ascención Andina-Díaz , Miguel A Meléndez-Jiménez

We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by less than 1. We give a new proof of…

Multiagent Systems · Computer Science 2009-03-13 Vincent D. Blondel , Julien M. Hendrickx , John N. Tsitsiklis

The original Hegselmann-Krause (HK) model comprises a set of $n$ agents characterized by their opinion, a number in $[0,1]$. Agent $i$ updates its opinion $x_i$ via taking the average opinion of its neighbors whose opinion differs by at…

Probability · Mathematics 2021-03-05 Hsin-Lun Li

Opinion spreading in a society decides the fate of elections, the success of products, and the impact of political or social movements. The model by Hegselmann and Krause is a well-known theoretical model to study such opinion formation…

Data Structures and Algorithms · Computer Science 2024-04-16 Petra Berenbrink , Martin Hoefer , Dominik Kaaser , Pascal Lenzner , Malin Rau , Daniel Schmand

This paper introduces a new multidimensional extension of the Hegselmann-Krause (HK) opinion dynamics model, where opinion proximity is not determined by a norm or metric. Instead, each agent trusts opinions within the Minkowski sum…

Multiagent Systems · Computer Science 2025-10-09 Iryna Zabarianska , Anton V. Proskurnikov

The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions…

Probability · Mathematics 2011-04-19 Javier Gómez-Serrano , Carl Graham , Jean-Yves Le Boudec

We explore the possibilities of enforcing and preventing consensus in continuous opinion dynamics that result from modifications in the communication rules. We refer to the model of Weisbuch and Deffuant, where $n$ agents adjust their…

Physics and Society · Physics 2011-01-18 Jan Lorenz , Diemo Urbig

We consider a continuous version of the Hegselmann-Krause model of opinion dynamics. Interaction between agents either leads to a state of consensus, where agents converge to a single opinion as time evolves, or to a fragmented state with…

Pattern Formation and Solitons · Physics 2017-04-28 Matt Holzer , Ratna Khatri

We study Hegselmann-Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two different agents. Moreover, we explore two cases in which such an…

Optimization and Control · Mathematics 2024-07-25 Chiara Cicolani , Badis Ouahab , Cristina Pignotti

A stabilization theorem for processes of opinion dynamics is presented. The theorem is applicable to a wide class of models of continuous opinion dynamics based on averaging (like the models of Hegselmann-Krause and Weisbuch-Deffuant). The…

Physics and Society · Physics 2007-08-23 Jan Lorenz

Bounded confidence models of opinion dynamics have been actively studied in recent years, in particular, opinion formation and extremism propagation along with other aspects of social dynamics. In this work, after an analysis of limitations…

Physics and Society · Physics 2015-05-27 Evguenii Kurmyshev , Héctor A. Juárez , Ricardo A. González-Silva

We study a Hegselmann-Krause type opinion formation model for a system of two populations. The two groups interact with each other via subsets of individuals, namely the leaders, and natural time delay effects are considered. By using…

Optimization and Control · Mathematics 2024-04-11 Chiara Cicolani , Cristina Pignotti

This paper studies the opinion dynamics model recently introduced by Hegselmann and Krause: each agent in a group maintains a real number describing its opinion; and each agent updates its opinion by averaging all other opinions that are…

Mathematical Physics · Physics 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

This paper presents a theoretical convergence analysis for an opinion-action coevolution model that integrates the opinion updating rule of the Hegselmann-Krause model with a utility-based decision-making mechanism. The model is…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Chen Song , Angela Fontan , Rong Su , Julien M. Hendrickx , Vladimir Cvetkovic , Karl H. Johansson

We study the Hegselmann-Krause model of opinion dynamics on sparse, unbiased networks generated via Wilson's algorithm, unveiling how network connectivity and confidence bounds jointly determine collective behavior. By systematically…

Physics and Society · Physics 2025-07-22 Paolo Molignini

Bounded confidence opinion dynamics model the propagation of information in social networks. However in the existing literature, opinions are only viewed as abstract quantities without semantics rather than as part of a decision-making…

Social and Information Networks · Computer Science 2015-06-17 Kush R. Varshney

The ability of a small set of coordinated actors to manipulate opinions in online social networks poses a serious challenge to the fairness and integrity of public debate. We investigate this problem by studying how targeted stubborn agents…

Social and Information Networks · Computer Science 2026-05-15 Paolo Tarantino , Fabio Mazza , Carlo Piccardi , Francesco Pierri

We study a continuous-time version of the Hegselmann-Krause model describing the opinion dynamics of interacting agents subject to random perturbations. Mathematically speaking, the opinion of agents is modelled by an interacting particle…

Probability · Mathematics 2024-11-25 Li Chen , Paul Nikolaev , David J. Prömel