Partisan Voter Model: Stochastic description and noise-induced transitions

TL;DR

This paper provides a detailed mean-field analysis of the Partisan Voter Model and its noisy variant, revealing how noise influences phase transitions and introduces new phases in the system.

Contribution

It introduces the Noisy Partisan Voter Model and analyzes how noise modifies phase transitions compared to the classic noisy voter model.

Findings

Finite-size noise-induced transition is altered in NPVM.

Emergence of new intermediate phases due to noise.

Both continuous and discontinuous transitions observed.

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.