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Related papers: Opinion dynamics on non-sparse networks with commu…

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We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…

Probability · Mathematics 2024-10-29 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

We study a time-delayed variant of the Hegselmann-Krause opinion formation model featuring a small group of leaders and a large group of non-leaders. In this model, leaders influence all agents but only interact among themselves. At the…

Analysis of PDEs · Mathematics 2026-03-31 Young-Pil Choi , Chiara Cicolani , Cristina Pignotti

We analyze a model designed to describe the spread and accumulation of opinions in a population. Inspired by the social contagion paradigm, our model is built on the classical SIR model of Kermack and McKendrick and consists in a system of…

Analysis of PDEs · Mathematics 2024-12-16 Romain Ducasse , Samuel Tréton

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams

The issue of opinion sharing and formation has received considerable attention in the academic literature, and a few models have been proposed to study this problem. However, existing models are limited to the interactions among nearest…

Social and Information Networks · Computer Science 2024-08-15 Zuobai Zhang , Wanyue Xu , Zhongzhi Zhang , Guanrong Chen

Online social networks have become an integral part of modern society, profoundly influencing how individuals form and exchange opinions across diverse domains ranging from politics to public health. The Friedkin-Johnsen model serves as a…

Social and Information Networks · Computer Science 2025-11-05 Gengyu Wang , Runze Zhang , Zhongzhi Zhang

The complexity of human behaviour can lead to very unpredictable patterns in social activity and structure. Here we demonstrate the instability of a community network controlled by majority ruling, where an element adopts the most popular…

Cellular Automata and Lattice Gases · Physics 2016-05-17 V. F. Kusmartsev , F. V. Kusmartsev

The study of network supported opinion dynamics in large groups of autonomous agents is attracting an increasing interest during the last years. In this paper, we proposed the use of the recent graphon theory to model and simulate an…

Classical Analysis and ODEs · Mathematics 2022-06-22 Giacomo Aletti , Giovanni Naldi

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

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

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

Social influence is the process by which individuals adapt their opinion, revise their beliefs, or change their behavior as a result of social interactions with other people. In our strongly interconnected society, social influence plays a…

Physics and Society · Physics 2013-11-15 Mehdi Moussaid , Juliane E. Kaemmer , Pantelis P. Analytis , Hansjoerg Neth

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

We investigate the two-word Naming Game on two-dimensional random geometric graphs. Studying this model advances our understanding of the spatial distribution and propagation of opinions in social dynamics. A main feature of this model is…

Dynamical Systems · Mathematics 2014-07-30 Weituo Zhang , Chjan Lim , G. Korniss , B. K. Szymanski

Opinions are an integral part of how we perceive the world and each other. They shape collective action, playing a role in democratic processes, the evolution of norms, and cultural change. For decades, researchers in the social and natural…

Physics and Society · Physics 2022-12-21 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

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

We investigate opinion spreading by a threshold model in a situation where the influence of people is heterogeneously distributed. We focus on the response of the average opinion as a function between the trend between out-degree (number of…

Physics and Society · Physics 2017-07-26 Eun Lee , Petter Holme

Opinion dynamics concerns social processes through which populations or groups of individuals agree or disagree on specific issues. As such, modelling opinion dynamics represents an important research area that has been progressively…

Physics and Society · Physics 2013-09-06 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

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

In this paper, we propose a Boltzmann-type kinetic description of opinion formation on social networks, which takes into account a general connectivity distribution of the individuals. We consider opinion exchange processes inspired by the…

Physics and Society · Physics 2022-04-12 Nadia Loy , Matteo Raviola , Andrea Tosin
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