Polarization-induced stress in the noisy voter model
Fecha
2024-05-20
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Elsevier
Resumen
A new model for the dynamics of opinion formation is proposed and analysed at the mean-field level. It can be
regarded as a generalization of the noisy voter model in which agents update their binary states by copying others and
by an intrinsic mechanism affected by the degree of polarization in the system. It also takes into account whether the
agents enhance or reduce their intrinsic mechanism upon increasing polarization. Four phases or shapes of the steady-
state probability of a fraction of agents in a given state are found (unimodal, bimodal, W and M). In the unimodal
(resp. bimodal) phase, the copying (resp. intrinsic) mechanism is globally dominant, while in the W (resp. M) phase
the copying (resp. intrinsic) mechanism is the relevant one close to the consensus states while it reduces its influence
as approaching coexistence. In the thermodynamic limit, the bimodal and W phases disappear, while the unimodal
and M phases prevail. The theoretical results, obtained analytically from the master equation, and the numerical
simulations are in good agreement.
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Citación
Miguel Aguilar-Janita, Andres Blanco-Alonso, Nagi Khalil, Polarization-induced stress in the noisy voter model, Physica A: Statistical Mechanics and its Applications, 2024, 129840, ISSN 0378-4371, https://doi.org/10.1016/j.physa.2024.129840.
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