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Related papers: The Zealot Voter Model

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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

The adaptive voter model has been widely studied as a conceptual model for opinion formation processes on time-evolving social networks. Past studies on the effect of zealots, i.e. nodes aiming to spread their fixed opinion throughout the…

Physics and Society · Physics 2017-12-06 Pascal P. Klamser , Marc Wiedermann , Jonathan F. Donges , Reik V. Donner

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

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

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 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

We investigate the coarsening dynamics of a simplified version of the persistent voter model in which an agent can become a zealot -- i.e. resistent to change opinion -- at each step, based on interactions with its nearest neighbors. We…

Statistical Mechanics · Physics 2026-03-17 R. G. de Almeida , J. J. Arenzon , F. Corberi , W. G. Dantas , L. Smaldone

We model an electorate voting on the funding of a public good in a two-party system in an evolutionary game theory framework. Voters adopt one of four strategies: Consensus-makers, Gridlockers, Party 1 Zealots, and Party 2 Zealots, which…

Physics and Society · Physics 2026-03-27 Jonathan Engle , Bryce Morsky

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 study the dynamics of the out-of-equilibrium nonlinear q-voter model with two types of susceptible voters and zealots, introduced in [EPL 113, 48001 (2016)]. In this model, each individual supports one of two parties and is either a…

Physics and Society · Physics 2017-01-06 Andrew Mellor , Mauro Mobilia , R. K. P. Zia

A method for studying exact properties of a class of {\it inhomogeneous} stochastic many-body systems is developed and presented in the framework of a voter model perturbed by the presence of a ``zealot'', an individual allowed to favour an…

Statistical Mechanics · Physics 2007-05-23 Mauro Mobilia

We investigate the coarsening kinetics in a long-range variant of the Persistent Voter Model in space dimension $d=1$ and 2. In this model agents can hold two confidence levels, normal and zealot. If normal, agents take the opinion of…

Statistical Mechanics · Physics 2026-03-17 Jeferson J. Arenzon , F. Corberi , W. G. Dantas , L. Smaldone

In the latent voter model, which models the spread of a technology through a social network, individuals who have just changed their choice have a latent period, which is exponential with rate $\lambda$, during which they will not buy a new…

Probability · Mathematics 2016-05-31 Ran Huo , Rick Durrett

The voter model has been studied extensively as a paradigmatic opinion dynamics' model. However, its ability for modeling real opinion dynamics has not been addressed. We introduce a noisy voter model (accounting for social influence) with…

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

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

Consider the voter model on a box of side length $L$ (in the triangular lattice) with boundary votes fixed forever as type 0 or type 1 on two different halves of the boundary. Motivated by analogous questions in percolation, we study…

Probability · Mathematics 2015-06-22 Mark Holmes , Yevhen Mohylevskyy , Charles M. Newman

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

Models of opinion dynamics describe how opinions are shaped in various environments. While these models are able to replicate general opinion distributions observed in real-world scenarios, their capacity to align with data at the user…

Social and Information Networks · Computer Science 2025-07-01 Antoine Vendeville
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