Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions
Statistical Mechanics
2021-09-24 v3
Abstract
We study SDE and PDE models for opinion dynamics under bounded confidence, for a range of different boundary conditions, with and without the inclusion of a radical population. We perform exhaustive numerical studies with pseudospectral methods to determine the effects of the boundary conditions, suggesting that the no-flux case most faithfully reproduce the underlying mechanisms in the associated deterministic models of Hegselmann and Krause. We also compare the SDE and PDE models, and use tools from analysis to study phase transitions, including a systematic description of an order parameter.
Keywords
Cite
@article{arxiv.2009.03131,
title = {Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions},
author = {Benjamin D. Goddard and Beth Gooding and Grigoris A. Pavliotis and Hannah Short},
journal= {arXiv preprint arXiv:2009.03131},
year = {2021}
}