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This paper aims to provide a systemic analysis to social opinion dynamics subject to individual biases. As a generalization of the classical DeGroot social interactions, defined by linearly coupled dynamics of peer opinions that evolve over…

Social and Information Networks · Computer Science 2018-02-06 Zihan Chen , Jiahu Qin , Bo Li , Hongsheng Qi , Peter Buchhorn , Guodong Shi

We propose two different schemes of realizing a virtual walk corresponding to a kinetic exchange model of opinion dynamics. The walks are either Markovian or non-Markovian in nature. The opinion dynamics model is characterized by a…

Statistical Mechanics · Physics 2022-06-09 Surajit Saha , Parongama Sen

We study the average long-time behavior of the binary opinions of a social group with peer-to-peer interactions under the influence of an external bias and a persuadable leader, a strongly-biased agent with a dynamic opinion with the…

Statistical Mechanics · Physics 2024-05-30 Tiago S. A. N. Simões , Antonio Coniglio , Hans J. Herrmann , Lucilla de Arcangelis

We study an endogenous opinion (or, belief) dynamics model where we endogenize the social network that models the link (`trust') weights between agents. Our network adjustment mechanism is simple: an agent increases her weight for another…

Social and Information Networks · Computer Science 2013-09-17 Steffen Eger

In this work we study opinion formation on a fully-connected population participating of a public debate with two distinct choices, where the agents may adopt three different attitudes (favorable to either one choice or to the other, or…

Physics and Society · Physics 2014-01-28 Nuno Crokidakis , Victor H. Blanco , Celia Anteneodo

In this work we study the critical behavior of a three-state opinion model in the presence of noise. This noise represents the independent behavior, that plays the role of social temperature. Each agent on a regular D-dimensional lattice…

Physics and Society · Physics 2017-03-14 Nuno Crokidakis

We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges, and this is enough to enable a significantly greater range…

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

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 introduce a stochastic geometry dynamics inspired by opinion dynamics that captures the essence of modern asymmetric social networks with leaders and followers. Points in the Euclidean space represent opinions, and the leader of an agent…

Probability · Mathematics 2026-05-29 Natasa Dragovic , Francois Baccelli

Natural and artificial collectives exhibit heterogeneities across different dimensions, contributing to the complexity of their behavior. We investigate the effect of two such heterogeneities on collective opinion dynamics: heterogeneity of…

Physics and Society · Physics 2024-02-07 Vito Mengers , Mohsen Raoufi , Oliver Brock , Heiko Hamann , Pawel Romanczuk

This paper investigates the spread of infectious diseases within a networked community by integrating epidemic transmission and public opinion dynamics. We propose a novel discrete-time networked SIS (Susceptible-Infectious-Susceptible)…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Qiulin Xu , Tatsuya Masada , Hideaki Ishii

We consider a class of models of opinion formation where the dissemination of individual opinions occurs through the spreading of local consensus and disagreement. We study the emergence of full collective consensus or maximal disagreement…

Physics and Society · Physics 2014-12-23 Andrés Chacoma , Damián H. Zanette

Online social networks have transformed the way in which humans communicate and interact, leading to a new information ecosystem where people send and receive information through multiple channels, including traditional communication media.…

Physics and Society · Physics 2017-01-03 Javier Borge-Holthoefer , Raquel A. Baños , Carlos Gracia-Lázaro , Yamir Moreno

With the rapid growth of online social media, people become increasingly overwhelmed by the volume and the content of the information present in the environment. The threshold model is currently one of the most common methods to capture the…

Social and Information Networks · Computer Science 2020-03-27 Ece C. Mutlu , Ivan Garibay

In many social situations, a discrepancy arises between an individual's private and expressed opinions on a given topic. Motivated by Solomon Asch's seminal experiments on social conformity and other related socio-psychological works, we…

Social and Information Networks · Computer Science 2024-10-25 Mengbin Ye , Yuzhen Qin , Alain Govaert , Brian D. O. Anderson , Ming Cao

This paper considers the consensus problem of a novel opinion dynamics model with group pressure and self-confidence. Different with the most existing paper, the influence of friends of friends in a social network is taken into account,…

Information Theory · Computer Science 2024-06-21 Wenjuan Wang , Zhongmei Wang , Xinmin Song

We present an introduction to a novel model of an individual and group opinion dynamics, taking into account different ways in which different sources of information are filtered due to cognitive biases. The agent based model, using…

Physics and Society · Physics 2017-03-07 Pawel Sobkowicz

We propose a mathematical model to study coupled epidemic and opinion dynamics in a network of communities. Our model captures SIS epidemic dynamics whose evolution is dependent on the opinions of the communities toward the epidemic, and…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Ji Liu , Shreyas Sundaram , Philip E. Paré

Since the information available is fundamental for our perceptions and opinions, we are interested in understanding the conditions allowing for a good information to be disseminated. This paper explores opinion dynamics by means of…

Social and Information Networks · Computer Science 2015-03-17 Walter Quattrociocchi , Rosaria Conte , Elena Lodi

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