Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions

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.

References in corpus (7)

• Novel type of phase transition in a system of self-driven particles
• Statistical physics of social dynamics
• Opinion dynamics: rise and fall of political parties
• Opinion control in complex networks
• Diffusing opinions in bounded confidence processes
• Pseudospectral methods for density functional theory in bounded and unbounded domains
• Well-Posedness and Equilibrium Behaviour of Overdamped Dynamic Density Functional Theory

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• Co-evolving networks for opinion and social dynamics in agent-based models
• Approach to consensus in models of continuous-opinion dynamics: a study inspired by the physics of granular gases
• Opinion Dynamics with Continuous Age Structure