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We study binary opinion formation in a large population where individuals are influenced by the opinions of other individuals. The population is characterised by the existence of (i) communities where individuals share some similar…

Probability · Mathematics 2023-06-30 Delia Coculescu , Médéric Motte , Huyên Pham

In this work, it is pointed out that in the mean-field version of majority-rule opinion dynamics, the dependence of the consensus time on the population size exhibits two regimes. This is determined by the size distribution of the groups…

Physics and Society · Physics 2009-10-16 Damián H. Zanette

We study the ordering dynamics of nonlinear voter models with multiple states, also providing a discussion of the two-state model. The rate with which an individual adopts an opinion scales as the $q$-th power of the number of the…

Physics and Society · Physics 2023-11-01 Lucía Soledad Ramirez , Federico Vazquez , Maxi San Miguel , Tobias Galla

Rapid advances in large language models (LLMs) have not only empowered autonomous agents to generate social networks, communicate, and form shared and diverging opinions on political issues, but have also begun to play a growing role in…

Social and Information Networks · Computer Science 2025-05-22 Jinghua Piao , Zhihong Lu , Chen Gao , Fengli Xu , Qinghua Hu , Fernando P. Santos , Yong Li , James Evans

We introduce the vacillating voter model in which each voter consults two neighbors to decide its state, and changes opinion if it disagrees with either neighbor. This irresolution leads to a global bias toward zero magnetization. In…

Physics and Society · Physics 2007-10-23 R. Lambiotte , S. Redner

We present a new two-state {+-} opinion dynamics model which defines a general frame to include all local dynamics in two-state spin systems. Agents evolve by probabilistic local rules. In each update, groups of various sizes k are formed…

Disordered Systems and Neural Networks · Physics 2007-05-23 Serge Galam

Users online tend to join polarized groups of like-minded peers around shared narratives, forming echo chambers. The echo chamber effect and opinion polarization may be driven by several factors including human biases in information…

Social and Information Networks · Computer Science 2023-05-15 Carlo Michele Valensise , Matteo Cinelli , Walter Quattrociocchi

We study a Hegselmann-Krause type opinion formation model for a system of two populations. The two groups interact with each other via subsets of individuals, namely the leaders, and natural time delay effects are considered. By using…

Optimization and Control · Mathematics 2024-04-11 Chiara Cicolani , Cristina Pignotti

Opinion diffusion is a crucial phenomenon in social networks, often underlying the way in which a collective of agents develops a consensus on relevant decisions. The voter model is a well-known theoretical model to study opinion spreading…

Multiagent Systems · Computer Science 2024-03-14 Luca Becchetti , Vincenzo Bonifaci , Emilio Cruciani , Francesco Pasquale

One of the fundamental principles driving diversity or homogeneity in domains such as cultural differentiation, political affiliation, and product adoption is the tension between two forces: influence (the tendency of people to become…

Computer Science and Game Theory · Computer Science 2015-10-28 David Kempe , Jon Kleinberg , Sigal Oren , Aleksandrs Slivkins

We measure polarization in the United States Congress using the network science concept of modularity. Modularity provides a conceptually-clear measure of polarization that reveals both the number of relevant groups and the strength of…

Physics and Society · Physics 2011-07-26 Andrew Scott Waugh , Liuyi Pei , James H. Fowler , Peter J. Mucha , Mason A. Porter

We analyze the structure of the disagreement among a population of voters over a set of alternatives. Surveys typically ask either for pairwise comparisons, simple and intuitive for participants, or full rankings over alternatives,…

Artificial Intelligence · Computer Science 2026-05-20 Mohamed Ouaguenouni , Felipe Garrido-Lucero , Umberto Grandi , César Hidalgo , Magdalena Tydrichova

Complex institutions are typically characterized by meso-scale structures which are fundamental for the successful coordination of multiple agents. Here we introduce a framework to study the temporal dynamics of the node-community…

Social and Information Networks · Computer Science 2014-11-05 Gabriele Lami , Marco Cristoforetti , Giuseppe Jurman , Cesare Furlanello , Tommaso Furlanello

We study the Consensus problem among $n$ agents, defined as follows. Initially, each agent holds one of two possible opinions. The goal is to reach a consensus configuration in which every agent shares the same opinion. To this end, agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-18 Petra Berenbrink , Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Dominik Kaaser , Malin Rau

We study the bidimensional voter model on a square lattice with numerical simulations. We demonstrate that the evolution takes place in two distinct dynamic regimes; a first approach towards critical site percolation and a further approach…

Statistical Mechanics · Physics 2015-10-14 Alessandro Tartaglia , Leticia F. Cugliandolo , Marco Picco

Starting from a symmetrical multiple choice individual I build a sociophysics model of decision making. Reducing the choices to two and interactions to pairs recover the Ising model from physics at zero temperature. The associated…

Physics and Society · Physics 2024-10-04 Serge Galam

The dynamics of opinion formation in a society is a complex phenomenon where many variables play an important role. Recently, the influence of algorithms to filter which content is fed to social networks users has come under scrutiny.…

Online social networks have become primary means of communication. As they often exhibit undesirable effects such as hostility, polarisation or echo chambers, it is crucial to develop analytical tools that help us better understand them. In…

Social and Information Networks · Computer Science 2024-02-22 Antoine Vendeville , Shi Zhou , Benjamin Guedj

Polarization is a ubiquitous phenomenon in social systems. Empirical studies document substantial evidence for opinion polarization across social media, showing a typical bipolarized pattern devising individuals into two groups with…

Physics and Society · Physics 2023-01-19 Jiazhen Liu , Shengda Huang , Nathan Aden , Neil Johnson , Chaoming Song

In modern democracies, the outcome of elections and referendums is often remarkably tight. The repetition of these divisive events are the hallmark of a split society; to the physicist, however, it is an astonishing feat for such large…

Statistical Mechanics · Physics 2024-02-20 Olivier Devauchelle , Piotr Szymczak , Piotr Nowakowski
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