非线性选民模型下意见动力学的全局一致收敛性
Convergence to global consensus in opinion dynamics under a nonlinear voter model
摘要：
我们提出了一个非线性的选民模型来研究意见动力学中的全球共识的出现。在我们的模型中，主体$i$同意二元意见中的一个的概率是主体$i$及其最近邻中持有该意见的主体数量的幂函数，其中可调参数$α$控制羊群行为对共识的影响.我们发现，存在一个最佳值的$α$导致最快的共识的格子，随机图，小世界网络和无标度网络。通过研究意见簇的时空演变获得定性的见解。
英文摘要：
We propose a nonlinear voter model to study the emergence of global consensus in opinion dynamics. In our model, agent $i$ agrees with one of binary opinions with the probability that is a power function of the number of agents holding this opinion among agent $i$ and its nearest neighbors, where an adjustable parameter $α$ controls the effect of herd behavior on consensus. We find that there exists an optimal value of $α$ leading to the fastest consensus for lattices, random graphs, small-world networks and scale-free networks. Qualitative insights are obtained by examining the spatiotemporal evolution of the opinion clusters.
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