论文标题
多体互动的意见动态
Opinion Dynamics with Multi-Body Interactions
论文作者
论文摘要
我们介绍并分析了三体共识模型（3cm），以实现超图上的非线性共识动力学。我们的模型结合了加强群体效应，即使在基础图完成（对应于平均场相互作用）的情况下，也可能导致系统平均状态的变化，该现象可以解释为一种类型的同伴压力。我们进一步证明，对于有两个聚类群体的系统，我们的动态中已经有一个小的不对称性会导致一个群体显然占主导地位的看法。我们表明，模型中的非线性是使这种组动力学出现的必要成分，并证明了如何将我们的系统否则可以写入重新定制的网络上的线性，成对的相互作用系统。
We introduce and analyse a three-body consensus model (3CM) for non-linear consensus dynamics on hypergraphs. Our model incorporates reinforcing group effects, which can cause shifts in the average state of the system even in if the underlying graph is complete (corresponding to a mean-field interaction), a phenomena that may be interpreted as a type of peer pressure. We further demonstrate that for systems with two clustered groups, already a small asymmetry in our dynamics can lead to the opinion of one group becoming clearly dominant. We show that the nonlinearity in the model is the essential ingredient to make such group dynamics appear, and demonstrate how our system can otherwise be written as a linear, pairwise interaction system on a rescaled network.
