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Statistical mechanics has proven to be able to capture the fundamental rules underlying phenomena of social aggregation and opinion dynamics, well studied in disciplines like sociology and psychology. This approach is based on the…

Physics and Society · Physics 2017-03-09 Daniele Vilone , Timoteo Carletti , Franco Bagnoli , Andrea Guazzini

A general model of opinion dynamics is introduced in which each individual's opinion is measured on a bounded continuous spectrum. Each opinion is influenced heterogeneously by every other opinion in the population. It is demonstrated that…

Physics and Society · Physics 2021-10-22 Joseph William Baron

Opinion dynamics is a central subject of computational social science, and various models have been developed to understand the evolution and formulation of opinions. Existing models mainly focus on opinion dynamics on graphs that only…

Social and Information Networks · Computer Science 2023-10-10 Wanyue Xu , Zhongzhi Zhang

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 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 2007-12-07 Timoteo Carletti , Duccio Fanelli , Alessio Guarino , Franco Bagnoli , Andrea Guazzini

Social media has emerged as a significant source of information for people. As agents interact with each other through social media platforms, they create numerous complex social networks. Within these networks, information spread among…

Physics and Society · Physics 2023-03-07 Jiarui Dong , Yi-Cheng Zhang , Yixiu Kong

Opinions are an integral part of how we perceive the world and each other. They shape collective action, playing a role in democratic processes, the evolution of norms, and cultural change. For decades, researchers in the social and natural…

Physics and Society · Physics 2022-12-21 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

Models of opinion dynamics play a major role in various disciplines, including economics, political science, psychology, and social science, as they provide a framework for analysis and intervention. In spite of the numerous mathematical…

Physics and Society · Physics 2021-08-17 Armineh Rahmanian , Sadegh Bolouki , S. Rasoul Etesami , Abolfazl Mohebbi

Recent technological changes have increased connectivity between individuals around the world leading to higher frequency interactions between members of communities that would be otherwise distant and disconnected. This paper examines a…

Social and Information Networks · Computer Science 2020-01-13 Hossein Noorazar , Matthew Sottile , Kevin Vixie

In the so-called bounded confidence model proposed by Deffuant et al, agents can influence each other's opinion provided that opinions are already sufficiently close enough. We here discuss the influence of possible social networks…

Statistical Mechanics · Physics 2009-11-10 Gerard Weisbuch

Information-communication technology promotes collaborative environments like Wikipedia where, however, controversiality and conflicts can appear. To describe the rise, persistence, and resolution of such conflicts we devise an extended…

Physics and Society · Physics 2023-01-05 János Török , Gerardo Iñiguez , Taha Yasseri , Maxi San Miguel , Kimmo Kaski , János Kertész

We develop a dynamic model of discrete choice that incorporates peer effects into random consideration sets. We characterize the equilibrium behavior and study the empirical content of the model. In our setup, changes in the choices of…

Econometrics · Economics 2021-05-19 Nail Kashaev , Natalia Lazzati

Opinion formation models typically represent each individual as a single variable. However, in practice each individual holds interconnected beliefs whose internal organization may influence collective outcomes. To explore this dependence,…

Physics and Society · Physics 2026-05-21 Irene Ferri , Albert Díaz-Guilera , Hiroki Sayama

We introduce a utility-driven bounded-confidence model of opinion dynamics in which opinions associated with higher utility exert stronger social influence. In the regime where all agents belong to a single opinion cluster, we derive a…

Adaptation and Self-Organizing Systems · Physics 2026-05-22 Alex Siebenmorgen , Juan G. Restrepo

We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a…

Probability · Mathematics 2019-09-20 Nina Gantert , Markus Heydenreich , Timo Hirscher

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

In recent years networks have gained unprecedented attention in studying a broad range of topics, among them in complex systems research. In particular, multi-agent systems have seen an increased recognition of the importance of the…

Physics and Society · Physics 2007-05-23 László Gulyás , Elenna R. Dugundji

We introduce new kinetic equations modeling opinion dynamics inside a population of individuals, whose propensity to interact with each other is described by their level of social activity. We show that opinion polarization can arise among…

Analysis of PDEs · Mathematics 2025-11-27 Andrea Bondesan , Jacopo Borsotti

We present an opinion model founded upon the principles of the bounded confidence interaction among agents. Our objective is to explain the polarization effects inherent to vector-valued opinions. The evolutionary process adheres to the…

Multiagent Systems · Computer Science 2023-12-25 Jacek Cyranka , Piotr B. Mucha

We study an opinion formation model by the means of a co-evolving complex network where the vertices represent the individuals, characterised by their evolving opinions, and the edges represent the interactions among them. The network…

Physics and Society · Physics 2015-06-19 Enrique Burgos , Laura Hernandez , Horacio Ceva , Roberto P. J. Perazzo
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