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We explore a method to influence or even control the diversity of opinions within a polarised social group. We leverage the voter model in which users hold binary opinions and repeatedly update their beliefs based on others they connect…

Social and Information Networks · Computer Science 2022-01-07 Antoine Vendeville , Benjamin Guedj , Shi Zhou

The influence of zealots on the noisy voter model is studied theoretically and numerically at the mean-field level. The noisy voter model is a modification of the voter model that includes a second mechanism for transitions between states:…

Physics and Society · Physics 2018-01-31 Nagi Khalil , Maxi San Miguel , Raul Toral

Zealots are the vertices in a social network who do not change their opinions under social pressure, and are crucial to the study of opinion dynamics on complex networks. In this paper, we study the effect of zealots on the polarization…

Social and Information Networks · Computer Science 2019-08-30 Snehal M. Shekatkar

The voter model has been extensive studied as an opinion dynamic model, and the role of the zealots has only been discussed recently. We introduce the adaptive voter model with zealots and show that the final distribution of the magnetism…

Physics and Society · Physics 2021-03-02 Ka Wai Cheung , Chung Him Liu , Kwok Yip Szeto

Social networks are often permeated by agents who promote their opinions without allowing for their own mind to be changed: Understanding how these so-called `zealots' act to increase the prevalence of their promoted opinion over the…

Physics and Society · Physics 2024-10-11 Thomas Tunstall

We study the voter model with a finite density of zealots--voters than never change opinion. For equal numbers of zealots of each species, the distribution of magnetization (opinions) is Gaussian in the mean-field limit as well as in one…

Physics and Society · Physics 2007-08-23 M. Mobilia , A. Petersen , S. Redner

Both humans and social animals live in groups and are frequently faced to choose between options with different qualities. When no leader agents are controlling the group decision, consensus can be achieved through repeated interactions…

Physics and Society · Physics 2024-01-02 Thierry Njougouo , Andreagiovanni Reina , Elio Tuci , Timoteo Carletti

We study the dynamics of the nonlinear $q$-voter model with inflexible zealots in a finite well-mixed population. In this system, each individual supports one of two parties and is either a susceptible voter or an inflexible zealot. At each…

Physics and Society · Physics 2015-07-09 Mauro Mobilia

The noisy voter model is a stylised representation of opinion dynamics. Individuals copy opinions from other individuals, and are subject to spontaneous state changes. In the case of two opinion states this model is known to have a…

Physics and Society · Physics 2021-02-10 Nagi Khalil , Tobias Galla

In this paper, we study influence maximization in the voter model in the presence of biased voters (or zealots) on complex networks. Under what conditions should an external controller with finite budget who aims at maximizing its influence…

Physics and Society · Physics 2020-08-25 Guillermo Romero Moreno , Edoardo Manino , Long Tran-Thanh , Markus Brede

We introduce a variant of the voter model in which agents may have different degrees of confidence on their opinions. Those with low confidence are normal voters whose state can change upon a single contact with a different neighboring…

Statistical Mechanics · Physics 2022-07-27 Luís Carlos F. Latoski , W. G. Dantas , Jeferson J. Arenzon

We consider a general class of three--state models where individuals hold one of two opposite opinions, or are neutral, and exchange opinions in generic pairwise interactions. We show that when opinions spread in a population where a…

Physics and Society · Physics 2016-03-09 Francesca Colaiori , Claudio Castellano

Inspired by the spread of discontent as in the 2016 presidential election, we consider a voter model in which 0's are ordinary voters and 1's are zealots. Thinking of a social network, but desiring the simplicity of an infinite object that…

Probability · Mathematics 2019-01-23 Ran Huo , Rick Durrett

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

Opinion dynamics is crucial for unraveling the complexities of human interaction in the information age. How to speed up consensus without disturbing the fate of the system is key for opinion dynamics. We propose a voter model on adaptive…

Physics and Society · Physics 2023-12-12 Xunlong Wang , Bin Wu

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

We consider the Persistent Voter model (PVM), a variant of the Voter model (VM) that includes transient, dynamically-induced zealots. Due to peer reinforcement, the internal confidence $\eta_i$ of a normal voter increases by steps of size…

Physics and Society · Physics 2025-03-24 Luis Carlos F. Latoski , W. G. Dantas , Jeferson J. Arenzon

The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and fail to capture the intricate social dynamics that arises in…

Physics and Society · Physics 2025-02-04 Anastasia Golovin , Jan Mölter , Christian Kuehn

In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

Analysis of PDEs · Mathematics 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

Probability · Mathematics 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy
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