Convergence to global consensus in opinion dynamics under a nonlinear voter model
Applications
2011-12-30 v2 Adaptation and Self-Organizing Systems
Physics and Society
Abstract
We propose a nonlinear voter model to study the emergence of global consensus in opinion dynamics. In our model, agent agrees with one of binary opinions with the probability that is a power function of the number of agents holding this opinion among agent and its nearest neighbors, where an adjustable parameter controls the effect of herd behavior on consensus. We find that there exists an optimal value of 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.
Keywords
Cite
@article{arxiv.1008.0901,
title = {Convergence to global consensus in opinion dynamics under a nonlinear voter model},
author = {Han-Xin Yang and Wen-Xu Wang and Ying-Cheng Lai and Bing-Hong Wang},
journal= {arXiv preprint arXiv:1008.0901},
year = {2011}
}