论文标题
Graphon上的意见动态：分段常量情况
Opinion Dynamics on Graphon: the piecewise constant case
论文作者
论文摘要
在过去几年中，对大量自主代理的网络支持动态的研究吸引了人们越来越多的兴趣。在本文中，我们提出了使用最新的Graphon理论来建模和模拟相互作用的系统，以描述单个观点在任意大小网络上的演变。具体而言，我们证明了极限问题的存在和唯一性，该问题近似于均匀群体的非常大的网络。在分段常数Graphon的情况下，重要的新示例是从Graphon限制系统中得出的平均场分析。
The study of network supported opinion dynamics in large groups of autonomous agents is attracting an increasing interest during the last years. In this paper, we proposed the use of the recent graphon theory to model and simulate an interacting system describing the evolution of individual opinions over an arbitrary size networks. Specifically, we prove the existence and uniqueness of the limit problem that approximates a very large networks made by homogeneous groups of agents. The significant new example is the mean field analysis deduced from the graphon limit systems in the case of piecewise constant graphon.
