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In this paper, we will review some of the issues that have been raised by opinion dynamics theory to date. In particular, we conducted a hypothesis-based simulation using a socio-physical approach regarding the filter bubble phenomenon that…

Physics and Society · Physics 2024-04-23 Yasuko Kawahata

We propose a simple model to explore an educational phenomenon where the correct answer emerges from group discussion. We construct our model based on several plausible assumptions: (i) We tend to follow peers' opinions. However, if a…

Physics and Society · Physics 2025-05-27 Jibeom Seo , Beom Jun Kim

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

We investigate a dynamical model of opinion formation in which an individual's opinion is influenced by interactions with a group of other agents. We introduce a bias towards one of the opinions in a manner not considered earlier to the…

Physics and Society · Physics 2024-09-17 Pratik Mullick , Parongama Sen

We analyze the Sznajd opinion formation model, where a pair of neighboring individuals sharing the same opinion on a square lattice convince its six neighbors to adopt their opinions, when a fraction of the individuals is updated according…

Statistical Mechanics · Physics 2009-11-11 Tu Yu-Song , A. O. Sousa , Kong Ling-Jiang , Liu Mu-Ren

We consider a coupled Polya's urn scheme for social dynamics on networks. Agents hold continuum-valued opinions on a two-state issue and randomly converse with their neighbors on a graph, agreeing on one of the two states. The probability…

Probability · Mathematics 2023-07-04 Andrew Melchionna

We introduce kinetic models to simulate epidemic spread while accounting for individuals' opinions on protective behaviors. Opinion exchanges occur on a social network represented by a graphon, leading to scenarios with or without opinion…

Analysis of PDEs · Mathematics 2026-04-14 Andrea Bondesan , Jacopo Borsotti , Mattia Fontana

A two state model for opinion forming, which has proven heuristic power, is reviewed with a novel emphasis on the existence or absence of a threshold for the dynamics. Monitored by repeated small groups discussions floater agents update…

Physics and Society · Physics 2008-03-18 Serge Galam

A combination of control Lyapunov functions (CLFs) and control barrier functions (CBFs) forms an efficient framework for addressing control challenges in safe stabilization. In our previous research, we developed an analytical control…

Systems and Control · Electrical Eng. & Systems 2023-12-06 Ming Li , Zhiyong Sun

The Hegselmann--Krause model is a prototypical model for opinion dynamics. It models the stochastic time evolution of an agent's or voter's opinion in response to the opinion of other like-minded agents. The Hegselmann--Krause model only…

Physics and Society · Physics 2025-02-26 Patrick H. Cahill , Georg A. Gottwald

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

The effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a…

Physics and Society · Physics 2017-02-08 Pablo Balenzuela , Juan Pablo Pinasco , Viktoriya Semeshenko

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

Opinion diffusion is a crucial phenomenon in social networks, often underlying the way in which a collective of agents develops a consensus on relevant decisions. The voter model is a well-known theoretical model to study opinion spreading…

Multiagent Systems · Computer Science 2024-03-14 Luca Becchetti , Vincenzo Bonifaci , Emilio Cruciani , Francesco Pasquale

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

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

In this paper we investigate the model of opinion dynamics with anticonformity on a complete graph. We show that below some threshold value of anticonformal behavior spontaneous reorientations occur between two stable states. Dealing with a…

Adaptation and Self-Organizing Systems · Physics 2015-05-27 Piotr Nyczka , Jerzy Cisło , Katarzyna Sznajd-Weron

Interaction with others influences our opinions and behaviours. Our activities within various social circles lead to different opinions expressed in various situations, groups, and ways of communication. Earlier studies on agent-based…

Social and Information Networks · Computer Science 2024-03-08 Stanisław Stępień , Jarosław Jankowski , Piotr Bródka , Radosław Michalski

Predicting the stable phase configuration in a liquid-gas system becomes a fundamental challenge when the stratification favored by gravity conflicts with arrangements induced by heat flow, particularly because standard equilibrium…

Statistical Mechanics · Physics 2025-12-29 Naoko Nakagawa , Shin-ichi Sasa

Opinion dynamics - the research field dealing with how people's opinions form and evolve in a social context - traditionally uses agent-based models to validate the implications of sociological theories. These models encode the causal…

Social and Information Networks · Computer Science 2020-06-03 Corrado Monti , Gianmarco De Francisci Morales , Francesco Bonchi