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This paper studies the opinion dynamics that result when individuals consecutively discuss a sequence of issues. Specifically, we study how individuals' self-confidence levels evolve via a reflected appraisal mechanism. Motivated by the…

Optimization and Control · Mathematics 2016-03-02 Zhi Xu , Ji Liu , Tamer Basar

We study a DeGroot-like opinion dynamics model in which agents may oppose other agents. As an underlying motivation, in our setup, agents want to adjust their opinions to match those of the agents of their 'in-group' and, in addition, they…

Multiagent Systems · Computer Science 2016-11-02 Steffen Eger

The dynamical origin of opinion polarization in the real world is an interesting topic physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on…

Adaptation and Self-Organizing Systems · Physics 2014-09-03 H. F. Chau , C. Y. Wong , F. K. Chow , C. -H. F. Fung

We study a tractable opinion dynamics model that generates long-run disagreements and persistent opinion fluctuations. Our model involves an inhomogeneous stochastic gossip process of continuous opinion dynamics in a society consisting of…

Social and Information Networks · Computer Science 2012-12-03 Daron Acemoglu , Giacomo Como , Fabio Fagnani , Asuman Ozdaglar

Axelrod model is an opinion dynamics model such that each agent on a square lattice has a finite number of possible nominal opinions on a finite number of issues that are usually called features in the field. Moreover, its dynamics between…

Physics and Society · Physics 2026-05-07 X. Zou , H. F. Chau

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

It is known that individual opinions on different policy issues often align to a dominant ideological dimension (e.g. "left" vs. "right") and become increasingly polarized. We provide an agent-based model that reproduces these two stylized…

Physics and Society · Physics 2020-10-28 Simon Schweighofer , David Garcia , Frank Schweitzer

In this paper we formulate a continuous opinion model that takes into account population growth, i.e. increase with time in the number of interacting agents $N(t)$. In our setting the population growth is governed by a generic growth rate…

Analysis of PDEs · Mathematics 2025-05-27 Ioannis Markou

Motivated by empirical research on bias and opinion formation, we formulate a multidimensional nonlinear opinion-dynamical model where agents have individual biases, which are fixed, as well as opinions, which evolve. The dimensions…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Luka Baković , David Ohlin , Giacomo Como , Emma Tegling

Leadership in social groups is often a dynamic characteristic that emerges from interactions and opinion exchange. Empirical evidence suggests that individuals with strong opinions tend to gain influence, at the same time maintaining…

Physics and Society · Physics 2026-03-26 Martina Alutto , Lorenzo Zino , Karl H. Johansson , Angela Fontan

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 paper deals with continuous-time opinion dynamics that feature the interplay of continuous opinions and discrete behaviours. In our model, the opinion of one individual is only influenced by the behaviours of fellow individuals. The…

Systems and Control · Computer Science 2016-07-07 Francesca Ceragioli , Paolo Frasca

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

We propose an agent-based opinion formation model characterised by a two-fold novelty. First, we realistically assume that each agent cannot measure the opinion of its neighbours with infinite resolution and accuracy, and hence it can only…

Social and Information Networks · Computer Science 2026-01-08 Carlos Andres Devia , Giulia Giordano

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

The emergence of opinion polarization within human communities -- the phenomenon that individuals within a society tend to develop conflicting attitudes related to the greatest diversity of topics -- has been a focus of interest for…

Physics and Society · Physics 2022-10-05 Anna Zafeiris

Trust and distrust are common in the opinion interactions among agents in social networks, and they are described by the edges with positive and negative weights in the signed digraph, respectively. It has been shown in social psychology…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Lei Shi , Yuhua Cheng , Jinliang Shao , Xiaofan Wang , Hanmin Sheng

Modelling other agents' behaviors plays an important role in decision models for interactions among multiple agents. To optimise its own decisions, a subject agent needs to model what other agents act simultaneously in an uncertain…

Artificial Intelligence · Computer Science 2022-03-08 Yinghui Pan , Hanyi Zhang , Yifeng Zeng , Biyang Ma , Jing Tang , Zhong Ming

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

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
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