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Belief dynamics are fundamental to human behavior and social coordination. Individuals rely on accurate beliefs to make decisions, and shared beliefs form the basis of successful cooperation. Traditional studies often examined beliefs in…

Physics and Society · Physics 2024-10-11 Joshua T. S. Hewson , Ke Fang

Investigation of social influence dynamics requires mathematical models that are "simple" enough to admit rigorous analysis, and yet sufficiently "rich" to capture salient features of social groups. Thus, the mechanism of iterative opinion…

Systems and Control · Computer Science 2019-09-20 Anton V. Proskurnikov , Roberto Tempo , Ming Cao , Noah E. Friedkin

In this paper, the influence of the social media on the opinion formation process is modeled during an election campaign. In the proposed model, peer- to-peer interactions and targeted online propaganda messages are assumed to be the…

Physics and Society · Physics 2021-03-16 Semra Gunduc

A long line of work in social psychology has studied variations in people's susceptibility to persuasion -- the extent to which they are willing to modify their opinions on a topic. This body of literature suggests an interesting…

Social and Information Networks · Computer Science 2018-01-29 Rediet Abebe , Jon Kleinberg , David Parkes , Charalampos E. Tsourakakis

We propose a discrete model for how opinion about a given phenomenon, about which various groups of a population have different degrees of enthusiasm, such as fanaticism and extreme social and political positions, including terrorism, may…

Physics and Society · Physics 2007-05-23 Dietrich Stauffer , Muhammad Sahimi

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

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

We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and…

Physics and Society · Physics 2024-07-04 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

We have presented a numerical model of a collective opinion formation procedure to explain political phenomena such as two-party and multi-party systems in politics, political unrest, military coup d'etats and netizen revolutions. Nonlinear…

Physics and Society · Physics 2009-11-11 Soo Yong Kim , Chung Hyun Park , Kyungsik Kim

Many models of opinion dynamics include measures of distance between opinions. Such models are susceptible to boundary effects where the choice of the topology of the opinion space may influence the dynamics. In this paper we study an…

Physics and Society · Physics 2026-03-06 Frank P. Pijpers , Benedikt V. Meylahn , Michel R. H. Mandjes

We extend a classical model of continuous opinion formation to explicitly include an age-structured population. We begin by considering a stochastic differential equation model which incorporates ageing dynamics and birth/death processes,…

Analysis of PDEs · Mathematics 2026-01-14 Andrew Nugent , Susana N. Gomes , Marie-Therese Wolfram

In recent years, numerous mathematical models of opinion formation have been developed, incorporating diverse interaction mechanisms such as imitation and majority rule. However, limited attention has been given to models grounded in…

Physics and Society · Physics 2024-12-24 Lucía Pedraza , Nicolas Saintier , Juan Pablo Pinasco , Pablo Balenzuela , Celia Anteneodo

The Ising model, originally developed for understanding magnetic phase transitions, has become a cornerstone in the study of collective phenomena across diverse disciplines. In this review, we explore how Ising and Ising-like models have…

Physics and Society · Physics 2025-07-01 Pratik Mullick , Parongama Sen

Opinion Dynamics is an interdisciplinary area of research. Psychology and Sociology have proposed models of how individuals form opinions and how social interactions influence this process. Socio-Physicists have interpreted patterns in…

Multiagent Systems · Computer Science 2024-07-03 Sudhakar Krisharao , Shaja Arul Selvamani

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

The human capacity for working together and with tools builds on cognitive abilities that, while not unique to humans, are most developed in humans both in scale and plasticity. Our capacity to engage with collaborators and with technology…

Physics and Society · Physics 2025-03-17 M. Burgess , R. I. M. Dunbar

The simulations in this paper are based on the theory of opinion dynamics, which incorporates both Opinion A and Opinion B, a case that is the inverse of Opinion A, in human relationships. It was confirmed that aspects of consensus building…

Physics and Society · Physics 2024-04-22 Yasuko Kawahata

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

Interpersonal influence estimation from empirical data is a central challenge in the study of social structures and dynamics. Opinion dynamics theory is a young interdisciplinary science that studies opinion formation in social networks and…

Systems and Control · Electrical Eng. & Systems 2020-07-27 Chiara Ravazzi , Fabrizio Dabbene , Constantino Lagoa , Anton V. Proskurnikov

Statistical physicists have become interested in models of collective social behavior such as opinion formation, where individuals change their inherently preferred opinion if their friends disagree. Real preferences often depend on…

Statistical Mechanics · Physics 2015-01-27 Michael T. Gastner , Nikolitsa Markou , Gunnar Pruessner , Moez Draief