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Public opinion is subject to peer interaction via social networks and external pressure from the media, advertising, and other actors. In this paper, we study the interaction between external and peer influence on the stochastic opinion…

Physics and Society · Physics 2024-07-31 Niels Van Santen , Jan Ryckebusch , Luis E. C. Rocha

In this paper, we present an empirical study of the opinion dynamics of a large-scale sample of online social network users. We estimate opinions of users as continuous scalars based on their subscriptions to information sources and analyze…

Social and Information Networks · Computer Science 2022-01-26 Ivan V. Kozitsin

The process of opinion expression and exchange is a critical component of democratic societies. As people interact with large language models (LLMs) in the opinion shaping process different from traditional media, the impacts of LLMs are…

Social and Information Networks · Computer Science 2023-08-29 Chao Li , Xing Su , Haoying Han , Cong Xue , Chunmo Zheng , Chao Fan

DeGroot-style opinion formation presumes a continuous interaction among agents of a social network. Hence, it cannot handle agents external to the social network that interact only temporarily with the permanent ones. Many real-world…

Multiagent Systems · Computer Science 2022-06-01 Zhiqiang Zhuang , Kewen Wang , Zhe Wang , Junhu Wang , Yinong Yang

Social media platforms have transformed the dynamics of collective opinion formation, enabling rapid, large-scale interactions while simultaneously exposing online discourse to polarization and manipulation. Traditional models of opinion…

Physics and Society · Physics 2025-11-18 Shigefumi Hata , Renaud Lambiotte , Hiroya Nakao , Ryota Kobayashi

In this paper, we investigate the self-affirmation effect on formation of public opinion in a directed small-world social network. The system presents a non-equilibrium phase transition from a consensus state to a disordered state with…

Physics and Society · Physics 2009-11-13 Luo-Luo Jiang , Da-Yin Hua , Jun-Fang Zhu , Bing-Hong Wang , Tao Zhou

The proliferation of public networks has enabled instantaneous and interactive communication that transcends temporal and spatial constraints. The vast amount of textual data on the Web has facilitated the study of quantitative analysis of…

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

We study a two states opinion formation model driven by PageRank node influence and report an extensive numerical study on how PageRank affects collective opinion formations in large-scale empirical directed networks. In our model the…

Physics and Society · Physics 2015-06-09 Young-Ho Eom , Dima L. Shepelyansky

Empirical studies suggest a deep intertwining between opinion formation and decision-making processes, but these have been treated as separate problems in the study of dynamical models for social networks. In this paper, we bridge the gap…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Hassan Dehghani Aghbolagh , Mengbin Ye , Lorenzo Zino , Ming Cao , Zhiyong Chen

We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell, the continuum model that we propose aims at approximating…

Analysis of PDEs · Mathematics 2026-03-16 Gianluca Favre , Gaspard Jankowiak , Sara Merino-Aceituno , Lara Trussardi

Agent-based models are versatile tools for studying how societal opinion change, including political polarization and cultural diffusion, emerges from individual behavior. This study expands agents' psychological realism using…

Multiagent Systems · Computer Science 2017-02-22 Peter Duggins

The formation of opinions in a large population is governed by endogenous (human interactions) and exogenous (media influence) factors. In the analysis of opinion evolution in a large population, decision making rules can be approximated…

Dynamical Systems · Mathematics 2012-05-08 Anahita Mirtabatabaei , Peng Jia , Francesco Bullo

After the recent COVID-19 outbreaks, it became increasingly evident that individuals' thoughts and beliefs can have a strong impact on disease transmission. It becomes therefore important to understand how information and opinions on…

Physics and Society · Physics 2024-09-27 Giacomo Albi , Elisa Calzola , Giacomo Dimarco , Mattia Zanella

This paper studies targeted opinion formation in multi-agent systems evolving over signed, time-varying directed graphs. The dynamics of each agent's state follow a Laplacian-based update rule driven by both cooperative and antagonistic…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Swati Priya , Twinkle Tripathy

This article presents a rigorous mathematical analysis of the Friedkin--Johnsen model of social influence on networks. We frame the opinion dynamics as a discrete boundary-value problem on a network, emphasizing the role of stubborn…

Social and Information Networks · Computer Science 2026-02-10 Moses Boudourides

Public opinion is often affected by the presence of committed groups of individuals dedicated to competing points of view. Using a model of pairwise social influence, we study how the presence of such groups within social networks affects…

Physics and Society · Physics 2012-04-24 J. Xie , J. Emenheiser , M. Kirby , S. Sreenivasan , B. K. Szymanski , G. Korniss

Traditional models of opinion dynamics, in which the nodes of a network change their opinions based on their interactions with neighboring nodes, consider how opinions evolve either on time-independent networks or on temporal networks with…

Physics and Society · Physics 2023-03-13 Weiqi Chu , Mason A. Porter

It has been observed people tend to have opinions that are far more internally consistent than it would be reasonable to expect. Here, we study how that observation might emerge from changing how agents trust the opinions of their peers in…

Physics and Society · Physics 2020-07-15 Marcelo V. Maciel , André C. R. Martins

The information system (T.V., newspapers, blogs, social network platforms) and its inner dynamics play a fundamental role on the evolution of collective debates and thus on the public opinion. In this work we address such a process focusing…

Physics and Society · Physics 2013-07-17 Walter Quattrociocchi , Guido Caldarelli , Antonio Scala

In this paper, a model about the evolution of opinion on small world networks is proposed. We studied the macro-behavior of the agents' opinion and the relative change rate as time elapses. The external field was found to play an important…

Pattern Formation and Solitons · Physics 2009-11-11 YunFeng Chang , Long Guo , Xu Cai