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Understanding the evolution of collective beliefs is of critical importance to get insights on the political trends as well as on social tastes and opinions. In particular, it is pivotal to develop analytical models that can predict the…

Social and Information Networks · Computer Science 2019-10-25 Alessandro Nordio , Alberto Tarable , Carla Fabiana Chiasserini , Emilio Leonardi

In some social networks, the opinion forming is based on its own and neighbors' (initial) opinions, whereas the evolution of the individual opinions is also influenced by the individual's past opinions in the real world. Unlike existing…

Physics and Society · Physics 2021-08-10 Qingsong Liu , Li Chai

Today's society faces widening disagreement and conflicts among constituents with incompatible views. Escalated views and opinions are seen not only in radical ideology or extremism but also in many other scenes of our everyday life. Here…

Physics and Society · Physics 2020-07-08 Hiroki Sayama

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

We consider a stochastic, continuous state and time opinion model where each agent's opinion locally interacts with other agents' opinions in the system, and there is also exogenous randomness. The interaction tends to create clusters of…

Social and Information Networks · Computer Science 2016-02-29 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

We study the effects of social influences in opinion dynamics. In particular, we define a simple model, based on the majority rule voting, in order to consider the role of conformity. Conformity is a central issue in social psychology as it…

Physics and Society · Physics 2014-08-18 Marco Alberto Javarone

Opinion dynamics of a group of individuals is the change in the members' opinions through mutual interaction with each other. The related literature contains works in which the dynamics is modeled as a continuous system, of which behavioral…

Dynamical Systems · Mathematics 2018-01-01 F. Ataş , A. Demirci , C. Özemir

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

For a group of autonomous communicating agents, the ability to distinguish a meaningful input from disturbance, and come to collective agreement or disagreement in response to that input, is paramount for carrying out coordinated…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Timothy Sorochkin , Alessio Franci , Naomi Ehrich Leonard

The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology, we study opinion formation using a…

Physics and Society · Physics 2026-05-19 Tim Mauch , Thilo Gross

We use Gaussian mixtures to model formation and evolution of multi-modal beliefs and opinion uncertainty across social networks. In this model, opinions evolve by Bayesian belief update when incorporating exogenous factors (signals from…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Yijun Chen , Farhad Farokhi , Yutong Bu , Nicholas Kah Yean Low , Jarra Horstman , Julian Greentree , Robin Evans , Andrew Melatos

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model,…

Physics and Society · Physics 2009-11-13 I. J. Benczik , S. Z. Benczik , B. Schmittmann , R. K. P. Zia

We study the evolution of opinions on a directed network with community structure. Individuals update their opinions synchronously based on a weighted average of their neighbors' opinions, their own previous opinions, and external media…

Probability · Mathematics 2024-01-17 Panagiotis Andreou , Mariana Olvera-Cravioto

We present a model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. High thresholds yield convergence of opinions towards…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard , Jean Pierre Nadal

Opinion formation is one of the most fascinating phenomena observed in human communities, and the ability to predict and to control the dynamics of this process is interesting from the theoretical as well as practical point of view.…

Physics and Society · Physics 2022-11-23 Krzysztof Domino , Jarosław Adam Miszczak

This review outlines the major approaches to modelling opinion formation and manipulation in mathematics and computer science. Key tools such as ordinary and partial differential equations, stochastic models, control theory, and interaction…

Optimization and Control · Mathematics 2026-01-13 Luisa Estrada , Sasha Glendinning , Andrew Nugent

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

Under certain circumstances such as lack of information or bounded rationality, human players can take decisions on which strategy to choose in a game on the basis of simple opinions. These opinions can be modified after each round by…

Physics and Society · Physics 2015-06-05 Floriana Gargiulo , Jose J. Ramasco

The focus of this work is on designing influencing strategies to shape the collective opinion of a network of individuals. We consider a variant of the voter model where opinions evolve in one of two ways. In the absence of external…

Social and Information Networks · Computer Science 2020-02-04 Anmol Gupta , Sharayu Moharir , Neeraja Sahasrabudhe

We present a model that explores the influence of persuasion in a population of agents with positive and negative opinion orientations. The opinion of each agent is represented by an integer number $k$ that expresses its level of agreement…

Physics and Society · Physics 2014-05-30 C. E. La Rocca , L. A. Braunstein , F. Vazquez