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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…

物理与社会 · 物理学 2007-08-23 M. Mobilia , A. Petersen , S. Redner

We consider the dynamics of the voter model and of the monomer-monomer catalytic process in the presence of many ``competing'' inhomogeneities and show, through exact calculations and numerical simulations, that their presence results in a…

统计力学 · 物理学 2007-05-23 Mauro Mobilia , Ivan T. Georgiev

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…

物理与社会 · 物理学 2021-03-02 Ka Wai Cheung , Chung Him Liu , Kwok Yip Szeto

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…

物理与社会 · 物理学 2007-10-23 R. Lambiotte , S. Redner

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…

物理与社会 · 物理学 2021-02-10 Nagi Khalil , Tobias Galla

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:…

物理与社会 · 物理学 2018-01-31 Nagi Khalil , Maxi San Miguel , Raul Toral

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…

统计力学 · 物理学 2026-03-17 R. G. de Almeida , J. J. Arenzon , F. Corberi , W. G. Dantas , L. Smaldone

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…

概率论 · 数学 2019-01-23 Ran Huo , Rick Durrett

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…

物理与社会 · 物理学 2015-07-09 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…

统计力学 · 物理学 2026-03-17 Jeferson J. Arenzon , F. Corberi , W. G. Dantas , L. Smaldone

A new model for the dynamics of opinion formation is proposed and analysed at the mean-field level. It can be regarded as a generalization of the noisy voter model in which agents update their binary states by copying others and by an…

统计力学 · 物理学 2024-10-29 Miguel Aguilar-Janita , Andres Blanco-Alonso , Nagi Khalil

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…

物理与社会 · 物理学 2017-01-06 Andrew Mellor , Mauro Mobilia , R. K. P. Zia

We study the effect of latency on binary-choice opinion formation models. Latency is introduced into the models as an additional dynamic rule: after a voter changes its opinion, it enters a waiting period of stochastic length where no…

物理与社会 · 物理学 2013-05-29 Renaud Lambiotte , Jari Saramaki , Vincent D. Blondel

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…

统计力学 · 物理学 2022-07-27 Luís Carlos F. Latoski , W. G. Dantas , Jeferson J. Arenzon

Research on the causes of political polarization points towards multiple drivers of the problem, from social and psychological to economic and technological. However, political institutions stand out, because -- while capable of…

物理与社会 · 物理学 2026-02-10 Daria Boratyn , Dariusz Stolicki

We introduce a simple model of opinion dynamics in which binary-state agents evolve due to the influence of agents in a local neighborhood. In a single update step, a fixed-size group is defined and all agents in the group adopt the state…

统计力学 · 物理学 2009-11-10 M. Mobilia , S. Redner

We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting…

数据分析、统计与概率 · 物理学 2008-04-23 R. Lambiotte , S. Redner

We propose a modified voter model with locally conserved magnetization and investigate its phase ordering dynamics in two dimensions in numerical simulations. Imposing a local constraint on the dynamics has the surprising effect of speeding…

统计力学 · 物理学 2015-06-11 Fabio Caccioli , Luca Dall'Asta , Tobias Galla , Tim Rogers

The adaptive voter model allows for studying the interplay between homophily, the tendency of like-minded individuals to attract each other, and social influence, the tendency for connected individuals to influence each other. However, it…

物理与社会 · 物理学 2023-03-21 Nikos Papanikolaou , Renaud Lambiotte , Giacomo Vaccario

We introduce an heterogeneous nonlinear $q$-voter model with zealots and two types of susceptible voters, and study its non-equilibrium properties when the population is finite and well mixed. In this two-opinion model, each individual…

物理与社会 · 物理学 2016-03-10 Andrew Mellor , Mauro Mobilia , R. K. P. Zia
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