连续Hegselmann-Krause意见动力学的质点方法
A particle method for continuous Hegselmann-Krause opinion dynamics
摘要：
我们推导了一个类似于Hegselmann-Krause意见动力学模型的微分-积分方程，并提出了求解该方程的粒子方法。数值实验证明了该方法在弱意义下的二阶收敛性。我们还证明了微分积分方程可以等价地表示为一个微分方程系统.在物理问题中，一个通常会产生能量耗散不等式的逐部分积分的论点会产生一个浓度不等式，表明浓度的自然度量单调增加。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
