Patterns of Nonlinear Opinion Formation on Networks
Patterns of Nonlinear Opinion Formation on Networks
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DOI：
10.23919/acc50511.2021.9482811
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发表时间：
2020-09
期刊：
影响因子：
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通讯作者：
Anastasia S. Bizyaeva;Ayanna Matthews;Alessio Franci;Naomi Ehrich Leonard
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文献类型：
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作者：
Anastasia S. Bizyaeva;Ayanna Matthews;Alessio Franci;Naomi Ehrich Leonard
当沟通主体对一组可能的选项形成意见时，同意和不同意都是可能的结果。根据具体情况，两者都可以是可取的，也可以是不可取的。我们发现，对于网络上的非线性意见动力学，以及各种网络结构，底层邻接矩阵的谱特性完全表征了协议或不一致的发生。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，如何通知所产生的模式的意见形成和代理的敏感性输入，触发意见级联。
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.