Polarization-induced stress in the noisy voter model

Abstract

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 intrinsic mechanism affected by the degree of polarization in the system. It also takes into account whether the agents enhance or reduce their intrinsic mechanism upon increasing polarization. Four phases or shapes of the steady-state probability of a fraction of agents in a given state are found (unimodal, bimodal, W and M). In the unimodal (resp. bimodal) phase, the copying (resp. intrinsic) mechanism is globally dominant, while in the W (resp. M) phase the copying (resp. intrinsic) mechanism is the relevant one close to the consensus states while it reduces its influence as approaching coexistence. In the thermodynamic limit, the bimodal and W phases disappear, while the unimodal and M phases prevail. The theoretical results, obtained analytically from the master equation, and the numerical simulations are in good agreement.

arXiv comment12 pages, 6 figures

References in corpus (27)

• Statistical physics of social dynamics
• Modeling echo chambers and polarization dynamics in social networks
• Social Influence and the Collective Dynamics of Opinion Formation
• On the Role of Zealotry in the Voter Model
• Voter model dynamics in complex networks: Role of dimensionality, disorder and degree distribution
• Analytical Solution of the Voter Model on Disordered Networks
• The noisy voter model on complex networks
• Statistical Physics Of Opinion Formation: is it a SPOOF?
• Zealots in the mean-field noisy voter model
• Analytical and numerical study of the non-linear noisy voter model on complex networks
• Emergence of polarization in a voter model with personalized information
• Stochastic pair approximation treatment of the noisy voter model
• The noisy voter model under the influence of contrarians
• Markets, herding and response to external information
• Consensus and diversity in multi-state noisy voter models
• Ordering dynamics in the voter model with aging
• Aging-induced continuous phase transition
• Herding and idiosyncratic choices: Nonlinearity and aging-induced transitions in the noisy voter model
• Continuous transition from the extensive to the non-extensive statistics in an agent-based herding model
• Zealots in multi-state noisy voter models
• Transitions between polarization and radicalization in a temporal bilayer echo chambers model
• Reduction from non-Markovian to Markovian dynamics: The case of aging in the noisy-voter model
• Local and global ordering dynamics in multi-state voter models
• Partisan Voter Model: Stochastic description and noise-induced transitions
• Deterministic and stochastic cooperation transitions in evolutionary games on networks
• Approach to consensus in models of continuous-opinion dynamics: a study inspired by the physics of granular gases
• Cooperation transitions in social games induced by aspiration-driven players