论文标题
连续Hegselmann-Krause意见动态的粒子方法
A particle method for continuous Hegselmann-Krause opinion dynamics
论文作者
论文摘要
我们得出类似于Hegselmann-Krause舆论动力学模型的差分综合方程，并提出了求解方程的粒子方法。数值实验证明了该方法在弱意义上的二阶收敛性。我们还表明，我们的差分综合方程可以等效地表示为微分方程系统。逐个综合的论点通常会在物理问题中产生能量耗散不平等，然后产生浓度不平等，表明自然的浓度量度可以单调地增加。
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.
