تقرير
A particle method for continuous Hegselmann-Krause opinion dynamics
| العنوان: | A particle method for continuous Hegselmann-Krause opinion dynamics |
|---|---|
| المؤلفون: | Boghosian, Bruce, Börgers, Christoph, Dragovic, Natasa, Haensch, Anna, Kirshtein, Arkadz |
| سنة النشر: | 2022 |
| المجموعة: | Computer Science Mathematics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Physics - Physics and Society, 91D30, 65M75, G.1.8, J.4 |
| الوصف: | We derive a differential-integral equation akin to the Hegselmann-Krause model of opinion dynamics, and propose a particle method for solving the equation. Numerical experiments demonstrate second-order convergence of the method in a weak sense. We also show that our differential-integral equation can equivalently be stated as a system of differential equations. An integration-by-parts argument that would typically yield an energy dissipation inequality in physical problems then yields a concentration inequality, showing that a natural measure of concentration increases monotonically. Comment: 16 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2211.06265 |
| رقم الأكسشن: | edsarx.2211.06265 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |