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Related papers: Non-consensus opinion models on complex networks

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We study the effects of social influences in opinion dynamics. In particular, we define a simple model, based on the majority rule voting, in order to consider the role of conformity. Conformity is a central issue in social psychology as it…

Physics and Society · Physics 2014-08-18 Marco Alberto Javarone

In this paper, and inspired by the recent discrete-time model in [1,2], we study two continuous-time opinion dynamics models (Model 1 and Model 2) where the individuals discuss opinions on multiple logically interdependent topics. The…

Social and Information Networks · Computer Science 2020-01-14 Mengbin Ye , Minh Hoang Trinh , Young-Hun Lim , Brian D. O. Anderson , Hyo-Sung Ahn

In the social, behavioral, and economic sciences, it is an important problem to predict which individual opinions will eventually dominate in a large population, if there will be a consensus, and how long it takes a consensus to form. This…

Physics and Society · Physics 2018-02-28 X. Flora Meng , Robert A. Van Gorder , Mason A. Porter

People often face the challenge of choosing among different options with similar attractiveness. To study the distribution of preferences that emerge in such situations, a useful approach is to simulate opinion dynamics on top of complex…

Physics and Society · Physics 2018-04-27 Vivian Dornelas , Marlon Ramos , Celia Anteneodo

Opinion dynamics on social networks have been received considerable attentions in recent years. Nevertheless, just a few works have theoretically analyzed the condition in which a certain opinion can spread in the whole structured…

Computer Science and Game Theory · Computer Science 2022-08-31 Zhifang Li , Xiaojie Chen , Han-Xin Yang , Attila Szolnoki

Within the framework of a simple model for social influence, the Taylor model, we analytically investigate the role of stubborn agents in the overall opinion dynamics of networked systems. Similar to zealots, stubborn agents are biased…

Physics and Society · Physics 2020-07-07 Fabian Baumann , Igor. M Sokolov , Melvyn Tyloo

We study an opinion dynamics model in which agents reach compromise via pairwise interactions. When the opinions of two agents are sufficiently close, they both acquire the average of their initial opinions; otherwise, they do not interact.…

Statistical Mechanics · Physics 2009-11-07 E. Ben-Naim , P. L. Krapivsky , S. Redner

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

The relationship between the topology of a network and specific types of dynamics unfolding in networks constitutes a subject of substantial interest. One type of dynamics that has attracted increasing attention because of its several…

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

The modeling of opinion dynamics has seen much study in varying academic disciplines. Understanding the complex ways information can be disseminated is a complicated problem for mathematicians as well as social scientists. We present a…

Dynamical Systems · Mathematics 2023-09-29 David N. Reynolds , Francesco Tudisco

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Opinions and beliefs determine the evolution of social systems. This is of particular interest in finance, as the increasing complexity of financial systems is coupled with information overload. Opinion formation, therefore, is not always…

General Finance · Quantitative Finance 2014-08-05 Marco D'Errico , Gulnur Muradoglu , Silvana Stefani , Giovanni Zambruno

The understanding of how users in a network update their opinions based on their neighbours opinions has attracted a great deal of interest in the field of network science, and a growing body of literature recognises the significance of…

Social and Information Networks · Computer Science 2022-08-30 Zahra Ghorbani , Seyed Hossein Khasteh , Saeid Ghafouri

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant

Opinion formation models typically represent each individual as a single variable. However, in practice each individual holds interconnected beliefs whose internal organization may influence collective outcomes. To explore this dependence,…

Physics and Society · Physics 2026-05-21 Irene Ferri , Albert Díaz-Guilera , Hiroki Sayama

The Sznajd model is a sociophysics model that mimics the propagation of opinions in a closed society, where the interactions favour groups of agreeing people. It is based in the Ising and Potts ferromagnetic models and although the original…

Physics and Society · Physics 2012-05-09 André M. Timpanaro , Carmen P. C. Prado

Many empirical networks are intrinsically pluralistic, with interactions occurring within groups of arbitrary agents. Then the agent in the network can be influenced by types of neighbors, common examples include similarity, opposition, and…

Physics and Society · Physics 2020-05-12 Shuo Liu , Xiwang Guan , Shuangling Luo , Haoxiang Xia

We study a nonlinear dynamics of binary opinions in a population of agents connected by a directed network, influenced by two competing forces. On the one hand, agents are stubborn, i.e., have a tendency for one of the two opinions; on the…

Social and Information Networks · Computer Science 2025-11-13 Federico Capannoli , Emilio Cruciani , Hlafo Alfie Mimun , Matteo Quattropani

In this work, we investigate a heterogeneous population in the modified Hegselmann-Krause opinion model on complex networks. We introduce the Shannon information entropy about all relative opinion clusters to characterize the cluster…

Physics and Society · Physics 2020-08-26 Wenchen Han , Yuee Feng , Xiaolan Qian , Qihui Yang , Changwei Huang
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