Voter model
View article: Joint effect of ageing and multilayer structure prevents ordering in the voter model
Joint effect of ageing and multilayer structure prevents ordering in the voter model Open
The voter model rules are simple, with agents copying the state of a random neighbor, but they lead to non-trivial dynamics. Besides opinion processes, the model has also applications for catalysis and species competition. Inspired by the …
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Reality-inspired voter models: A mini-review Open
This mini-review presents extensions of the voter model that incorporate various plausible features of real decision-making processes by individuals. Although these generalizations are not calibrated by empirical data, the resulting dynami…
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Adaptive voter model on simplicial complexes Open
Collective decision making processes lie at the heart of many social, political, and economic challenges. The classical voter model is a well-established conceptual model to study such processes. In this work, we define a form of adaptive …
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Zealots in the mean-field noisy voter model Open
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:…
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Pair approximation for the-voter model with independence on complex networks Open
We investigate the q-voter model with stochastic noise arising from independence on complex networks. Using the pair approximation, we provide a comprehensive, mathematical description of its behavior and derive a formula for the critical …
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Analytical and numerical study of the non-linear noisy voter model on complex networks Open
We study the noisy voter model using a specific non-linear dependence of the rates that takes into account collective interaction between individuals. The resulting model is solved exactly under the all-to-all coupling configuration and ap…
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Emergence of polarization in a voter model with personalized information Open
The flourishing of fake news is favored by recommendation algorithms of\nonline social networks which, based on previous users activity, provide content\nadapted to their preferences and so create filter bubbles. We introduce an\nanalytica…
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Conformity, anticonformity and polarization of opinions: insights from a mathematical model of opinion dynamics Open
This jupyter notebook and its pdf version are a suplementary material to the manuscript *Conformity, anticonformity and polarization of opinions: insights from a mathematical model of opinion dynamics* (preprint available at https://arxiv.…
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Voter preferences, voter manipulation, voter analytics: policy options for less surveillance and more autonomy Open
Researchers in psychology have long known that preferences are constructed in the decision-making process, influenced by choice environments that trigger unconscious biases and heuristics. As a result, choices, including those of voters, c…
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Characterization of the nonequilibrium steady state of a heterogeneous nonlinear q-voter model with zealotry Open
We introduce an heterogeneous nonlinear $q$-voter model with zealots and two\ntypes of susceptible voters, and study its non-equilibrium properties when the\npopulation is finite and well mixed. In this two-opinion model, each individual\n…
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The abiding voter: The lengthy horizon of retrospective evaluations Open
Although the theory of retrospective voting receives wide support in the literature on voting behaviour, less agreement exists on voters’ time horizon when assessing the government's performance – that is, whether voters are myopic . Previ…
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Interacting opinion and disease dynamics in multiplex networks: Discontinuous phase transition and nonmonotonic consensus times Open
Opinion formation and disease spreading are among the most studied dynamical processes on complex networks. In real societies, it is expected that these two processes depend on and affect each other. However, little is known about the effe…
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Opinion Diffusion and Campaigning on Society Graphs Open
We study the effects of campaigning, where the society is partitioned into voter clusters and a diffusion process propagates opinions in a network connecting those clusters. Our model is very general and can incorporate many campaigning ac…
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Zealotry effects on opinion dynamics in the adaptive voter model Open
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…
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Consensus and diversity in multistate noisy voter models Open
We study a variant of the voter model with multiple opinions; individuals can imitate each other and also change their opinion randomly in mutation events. We focus on the case of a population with all-to-all interaction. A noise-driven tr…
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Homogeneous Symmetrical Threshold Model with Nonconformity: Independence versus Anticonformity Open
We study two variants of the modified Watts threshold model with a noise (with nonconformity, in the terminology of social psychology) on a complete graph. Within the first version, a noise is introduced via so‐called independence, whereas…
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The Interplay Between Conformity and Anticonformity and its Polarizing Effect on Society Open
Simmering debates leading to polarization are observed in many domains. Although empirical findings show a strong correlation between this phenomenon and modularity of a social network, still little is known about the actual mechanisms dri…
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Pair approximation for the noisy threshold-voter model Open
In the standard q-voter model, a given agent can change its opinion only if there is a full consensus of the opposite opinion within a group of influence of size q. A more realistic extension is the threshold q voter, where a minimal agree…
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Herding and idiosyncratic choices: Nonlinearity and aging-induced transitions in the noisy voter model Open
We consider the herding-to-non-herding transition caused by idiosyncratic choices or imperfect imitation in the context of the Kirman Model for financial markets, or equivalently the Noisy Voter Model for opinion formation. In these origin…
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Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model? Open
We ask a question about the possibility of a discontinuous phase transition and the related social hysteresis within the q-voter model with anticonformity. Previously, it was claimed that within the q-voter model the social hysteresis can …
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Robust distributed decision-making in robot swarms: Exploiting a third truth state Open
In this paper, we investigate the best-of-n distributed decision problem in robot swarms. In this context, we compare the weighted voter model with a three-valued model that incorporates an intermediate belief state meaning either 'uncerta…
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Multistate voter model with imperfect copying Open
The voter model with multiple states has found applications in areas as diverse as population genetics, opinion formation, species competition, and language dynamics, among others. In a single step of the dynamics, an individual chosen at …
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Pair approximation for the -voter model with independence on multiplex networks Open
The q-voter model with independence is investigated on multiplex networks with full overlap of nodes in the layers. The layers are various complex networks corresponding to different levels of social influence. Detailed studies are perform…
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Generalized voterlike model on activity-driven networks with attractiveness Open
We study the behavior of a generalized consensus dynamics on a temporal network of interactions, the activity-driven network with attractiveness. In this temporal network model, agents are endowed with an intrinsic activity a, ruling the r…
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Anomalous diffusion in nonlinear transformations of the noisy voter model Open
Voter models are well known in the interdisciplinary community, yet they have not been studied from the perspective of anomalous diffusion. In this paper, we show that the original voter model exhibits a ballistic regime. Nonlinear transfo…
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Zealots in multistate noisy voter models Open
The noisy voter model is a stylized 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 noise-d…
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Best of both worlds? Independent lists and voter turnout in local elections Open
How does the presence of independent lists influence voter turnout in municipal and sub-municipal elections? Despite the persistence of independent lists in local elections of European countries, this question has remained underexplored. O…
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Cross-inhibition leads to group consensus despite the presence of strongly opinionated minorities and asocial behaviour Open
Strongly opinionated minorities can have a dramatic impact on the opinion dynamics of a large population. Two factions of inflexible minorities, polarised into two competing opinions, could lead the entire population to persistent indecisi…
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Conformity in numbers—Does criticality in social responses exist? Open
Within this paper we explore the idea of a critical value representing the proportion of majority members within a group that affects dramatic changes in influence targets' conformity. We consider the threshold q-voter model when the respo…
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Phase transition and power-law coarsening in an Ising-doped voter model Open
We examine an opinion formation model, which is a mixture of Voter and Ising agents. Numerical simulations show that even a very small fraction (∼1%) of the Ising agents drastically changes the behavior of the Voter model. The Voter agents…