Supportive interactions in the noisy voter model
arXiv:2001.11066 · doi:10.1016/j.chaos.2020.110627
Abstract
Latane social impact theory predicts recruitment and supportive interactions being responsible for opinion formation. So far only recruitment interactions were considered in the voter models. Here we consider a noisy voter model with supportive interactions, which make voters less likely to change their opinions. This is similar to the voter models with freezing, but instead of interacting with their past selves voters get the support from their peers. We examine two different ways in which the support could be implemented: support deterring imitation as well as independence, support deterring imitation only. Both assumptions introduce strong drift into the model, which almost always overcomes the diffusion caused by the imitative behavior. The first assumption introduces strong attraction to a full consensus state, unless the support becomes too strong. The latter assumption promotes partial consensus, with surviving minority group.
arXiv comment12 pages, 6 figures
References in corpus (22)
- Statistical physics of social dynamics
- On the Role of Zealotry in the Voter Model
- The non-linear q-voter model
- Reality Inspired Voter Models: A Mini-Review
- The Emergence of Consensus: A Primer
- Decelerating microdynamics can accelerate macrodynamics in the voter model
- Statistical Physics Of Opinion Formation: is it a SPOOF?
- Zealots in the mean-field noisy voter model
- A Biased Review of Sociophysics
- Analytical and numerical study of the non-linear noisy voter model on complex networks
- Public debates driven by incomplete scientific data: the cases of evolution theory, global warming and H1N1 pandemic influenza
- Agent based reasoning for the non-linear stochastic models of long-range memory
- Conformity, anticonformity and polarization of opinions: insights from a mathematical model of opinion dynamics
- Consentaneous agent-based and stochastic model of the financial markets
- The noisy voter model under the influence of contrarians
- Aging-induced continuous phase transition
- Complex dynamics of a nonlinear voter model with contrarian agents
- Continuous transition from the extensive to the non-extensive statistics in an agent-based herding model
- Empirical analysis and agent-based modeling of Lithuanian parliamentary elections
- A multi-state voter model with imperfect copying
- Multi-choice opinion dynamics model based on Latane theory
- Spurious memory in non-equilibrium stochastic models of imitative behavior