Partisan Voter Model: Stochastic description and noise-induced transitions

Abstract

We give a comprehensive mean-field analysis of the Partisan Voter Model (PVM) and report analytical results for exit probabilities, fixation times, and the quasi-stationary distribution. In addition, and similarly to the noisy voter model, we introduce a noisy version of the PVM, named as the Noisy Partisan Voter Model (NPVM) which accounts for the preferences of each agent for the two possible states, as well as for idiosyncratic spontaneous changes of state. We find that the finite-size noise-induced transition of the noisy voter model is modified in the NPVM leading to the emergence of new intermediate phases and both continuous and discontinuous transitions.

References in corpus (6)

• Does a Single Zealot Affect an Infinite Group of Voters ?
• Heterogeneous Voter Models
• Zealots in the mean-field noisy voter model
• Can Partisan Voting Lead to Truth?
• Biased-voter model: how persuasive a small group can be?
• Local and global ordering dynamics in multi-state voter models

Cited by in corpus (5)

• Voter model can accurately predict individual opinions in online populations
• Universality of noise-induced transitions in nonlinear voter models
• Breaking coexistence: Zealotry vs. nonlinear social impact
• Competition between private and expressed opinions in binary choice: the $\alpha$-EPO $q$-voter model
• Polarization-induced stress in the noisy voter model