Opinion models, data, and politics

Fuente: arXiv
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Hauptverfasser: Gsänger, Matthias, Hösel, Volker, Mohamad-Klotzbach, Christoph, Müller, Johannes
Format: Preprint
Veröffentlicht: 2024
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author Gsänger, Matthias
Hösel, Volker
Mohamad-Klotzbach, Christoph
Müller, Johannes
author_facet Gsänger, Matthias
Hösel, Volker
Mohamad-Klotzbach, Christoph
Müller, Johannes
contents We investigate the connection between Potts (Curie-Weiss) models and stochastic opinion models in the view of the Boltzmann distribution and stochastic Glauber dynamics. We particularly find that the q-voter model can be considered as a natural extension of the Zealot model which is adapted by Lagrangian parameters. We also discuss weak and strong effects continuum limits for the models. We then fit four models (Curie-Weiss, strong and weak effects limit for the q-voter model, and the reinforcement model) to election data from United States, United Kingdom, France and Germany. We find that particularly the weak effects models are able to fit the data (Kolmogorov-Smirnov test), where the weak effects reinforcement model performs best (AIC). The resulting estimates are interpreted in the view of political sciences, and also the importance of this kind of model-based approaches to election data for the political sciences is discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2402_06910
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Opinion models, data, and politics
Gsänger, Matthias
Hösel, Volker
Mohamad-Klotzbach, Christoph
Müller, Johannes
Physics and Society
91D30, 60J70
We investigate the connection between Potts (Curie-Weiss) models and stochastic opinion models in the view of the Boltzmann distribution and stochastic Glauber dynamics. We particularly find that the q-voter model can be considered as a natural extension of the Zealot model which is adapted by Lagrangian parameters. We also discuss weak and strong effects continuum limits for the models. We then fit four models (Curie-Weiss, strong and weak effects limit for the q-voter model, and the reinforcement model) to election data from United States, United Kingdom, France and Germany. We find that particularly the weak effects models are able to fit the data (Kolmogorov-Smirnov test), where the weak effects reinforcement model performs best (AIC). The resulting estimates are interpreted in the view of political sciences, and also the importance of this kind of model-based approaches to election data for the political sciences is discussed.
title Opinion models, data, and politics
topic Physics and Society
91D30, 60J70
url https://arxiv.org/abs/2402.06910