Compartmental voter model

Abstract

Numerous models in opinion dynamics focus on the temporal dynamics within a single electoral unit (e.g., country). The empirical observations, on the other hand, are often made across multiple electoral units (e.g., polling stations) at a single point in time (e.g., elections). Aggregates of these observations, while quite useful in many applications, neglect the underlying heterogeneity in opinions. To address this issue we build a simple agent-based model in which all agents have fixed opinions, but are able to change their electoral units. We demonstrate that this model is able to generate rank-size distributions consistent with the empirical data.

13 pages, 8 figures

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• Zealots in multi-state noisy voter models
• Anomalous diffusion in nonlinear transformations of the noisy voter model
• Binary-state dynamics on complex networks: Stochastic pair approximation and beyond
• Anomalous diffusion and long-range memory in the scaled voter model
• Understanding the nature of the long-range memory phenomenon in socioeconomic systems
• Universal Statistics of Competition in Democratic Elections
• Scaling of variability measures in hierarchical demographic data