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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

We introduce a statistical physics model for opinion dynamics on random networks where agents adopt the opinion held by the majority of their direct neighbors only if the fraction of these neighbors exceeds a certain threshold, p_u. We find…

Physics and Society · Physics 2009-11-13 Peter Klimek , Renaud Lambiotte , Stefan Thurner

Recently, social phenomena have received a lot of attention not only from social scientists, but also from physicists, mathematicians and computer scientists, in the emerging interdisciplinary field of complex system science. Opinion…

Physics and Society · Physics 2016-05-23 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

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

We propose a simple theory for the dynamics of model glass-forming fluids, which should be solvable using a mean-field-like approach. The theory is based on transparent physical assumptions, which can be tested in computer simulations. The…

Disordered Systems and Neural Networks · Physics 2017-10-18 Grzegorz Szamel

We study numerically the ordering process of two very simple dynamical models for a two-state variable on several topologies with increasing levels of heterogeneity in the degree distribution. We find that the zero-temperature Glauber…

Statistical Mechanics · Physics 2009-11-11 Claudio Castellano , Vittorio Loreto , Alain Barrat , Federico Cecconi , Domenico Parisi

Social media platforms have played a key role in weaponizing the polarization of social, political, and democratic processes. This is, mainly, because they are a medium for opinion formation. Opinion dynamic models are a tool for…

Logic in Computer Science · Computer Science 2024-02-15 Carlos Olarte , Carlos Ramírez , Camilo Rocha , Frank Valencia

The Sznajd model, where two people having the same opinion can convince their neighbours on the square lattice, is modified in the sense of Deffuant et al and Hegselmann, that only neighbours of similar opinions can be convinced. Then…

Statistical Mechanics · Physics 2009-11-07 D. Stauffer

A universal formula is shown to predict the dynamics of public opinion including eventual sudden and unexpected outbreaks of minority opinions within a generic parameter space of five dimensions. The formula is obtained combining and…

Physics and Society · Physics 2020-12-04 Serge Galam , Taksu Cheon

We study a DeGroot-like opinion dynamics model in which agents may oppose other agents. As an underlying motivation, in our setup, agents want to adjust their opinions to match those of the agents of their 'in-group' and, in addition, they…

Multiagent Systems · Computer Science 2016-11-02 Steffen Eger

We present a renormalization approach to solve the Sznajd opinion formation model on complex networks. For the case of two opinions, we present an expression of the probability of reaching consensus for a given opinion as a function of the…

Statistical Mechanics · Physics 2015-06-25 M. C. Gonzalez , A. O. Sousa , H. J. Herrmann

Thermodynamics and information have intricate inter-relations. The justification of the fact that information is physical, is done by inter-linking information and thermodynamics - through Landauer's principle. This modern approach towards…

Quantum Physics · Physics 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein

The weighted median mechanism provides a robust alternative to weighted averaging in opinion dynamics. Existing models, however, are predominantly formulated on pairwise interaction graphs, which limits their ability to represent…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Lingrui Chen , Xu Zhang , Fanpeng Song , Fang Wang , Cunquan Qu , Zhixin Liu

The dynamics of opinion is a complex and interesting process, especially for the systems with large number individuals. It is usually hard to describe the evolutionary features of these systems. In this paper, we study the self excitation…

Probability · Mathematics 2018-09-28 Lifu Wang , Bo Shen

We investigate opinion dynamics in a fully-connected system, consisting of $n$ identical and anonymous agents, where one of the opinions (which is called correct) represents a piece of information to disseminate. In more detail, one source…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-20 Luca Becchetti , Andrea Clementi , Amos Korman , Francesco Pasquale , Luca Trevisan , Robin Vacus

In this paper we study a novel model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process. We refer to this…

Systems and Control · Computer Science 2013-04-09 Paolo Frasca , Chiara Ravazzi , Roberto Tempo , Hideaki Ishii

Information-communication technology promotes collaborative environments like Wikipedia where, however, controversiality and conflicts can appear. To describe the rise, persistence, and resolution of such conflicts we devise an extended…

Physics and Society · Physics 2023-01-05 János Török , Gerardo Iñiguez , Taha Yasseri , Maxi San Miguel , Kimmo Kaski , János Kertész

The Glauber-Exclusion process is a superposition of a Glauber dynamics and the Symmetric Simple Exclusion Process (SSEP) on the lattice. The model was shown to admit a reaction-diffusion equation as the hydrodynamic limit. In this article,…

Probability · Mathematics 2023-10-25 Hong-Quan Tran

Information diffusion on social networks has been described as a collective outcome of threshold behaviors in the framework of threshold models. However, since the existing models do not take into account individuals' optimization problem,…

Physics and Society · Physics 2022-09-08 Teruyoshi Kobayashi