论文标题
持续的意见动态模型与信念
Continuous model of opinion dynamics with convictions
论文作者
论文摘要
在本说明中，我们研究了一种新的意见动力学模型。该模型结合了两种力量 - 在全能的沟通下，将系统驱动到共识的全部沟通中，以及将每个“玩家”驱动到其固定的定罪价值的雷利型摩擦力。这些力量之间的平衡产生了非平凡的限制结果。 我们建立了一个全球单场状态的存在，从而，每种定罪价值的任何初始分布汇总到集中在单一意见上的狄拉克措施中。我们确定了这种状态独特并不断取决于定罪的初始分布的几种情况。提出了限制意见分布的几种规律性属性。
In this note we study a new kinetic model of opinion dynamics. The model incorporates two forces -- alignment of opinions under all-to-all communication driving the system to a consensus, and Rayleigh type friction force that drives each `player' to its fixed conviction value. The balance between these forces creates a non-trivial limiting outcome. We establish existence of a global mono-opinion state, whereby any initial distribution of opinions for each conviction value aggregates to the Dirac measure concentrated on a single opinion. We identify several cases where such a state is unique and depends continuously on the initial distribution of convictions. Several regularity properties of the limiting distribution of opinions are presented.
