论文标题
网络上非线性意见形成的模式
Patterns of Nonlinear Opinion Formation on Networks
论文作者
论文摘要
当沟通代理人就一组可能的选择形成意见时，一致性和分歧都是可能的结果。根据上下文，可能是理想的或不希望的。我们表明，对于网络上的非线性意见动力学以及各种网络结构，基础邻接矩阵的光谱属性完全表征了一致性或分歧的发生。我们进一步展示了相应的特征向量中心性以及网络中的任何对称性如何告知结果形成的舆论形成模式和对代理对触发意见级联的投入的敏感性。
When communicating agents form opinions about a set of possible options, agreement and disagreement are both possible outcomes. Depending on the context, either can be desirable or undesirable. We show that for nonlinear opinion dynamics on networks, and a variety of network structures, the spectral properties of the underlying adjacency matrix fully characterize the occurrence of either agreement or disagreement. We further show how the corresponding eigenvector centrality, as well as any symmetry in the network, informs the resulting patterns of opinion formation and agent sensitivity to input that triggers opinion cascades.
