Noisy voter model for the anomalous diffusion of parliamentary presence

Abstract

We examine parliamentary presence data of the 2008-2012 and the 2012-2016 legislatures of Lithuanian parliament. We consider cumulative presence series of each individual representative in the data set. These series exhibit superdiffusive behavior. We propose a modified noisy voter model as a model for the parliamentary presence. We provide detailed analysis of anomalous diffusion of the individual agent trajectories and show that the modified model is able to reproduce empirical statistical properties.

11 pages, 9 figures

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• Zealots in multi-state noisy voter models
• Anomalous diffusion and long-range memory in the scaled voter model
• Understanding the nature of the long-range memory phenomenon in socioeconomic systems
• Mean First Passage Time of the Symmetric Noisy Voter Model with Arbitrary Initial and Boundary Conditions
• Heterogeneous Cattaneo-Vernotte equation connection to the noisy voter model