### Abstract

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.

Original language | English (US) |
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Pages (from-to) | 282-285 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 376 |

Issue number | 4 |

DOIs | |

State | Published - Jan 9 2012 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## Cite this

Yang, H. X., Wang, W. X., Lai, Y-C., & Wang, B. H. (2012). Convergence to global consensus in opinion dynamics under a nonlinear voter model.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*376*(4), 282-285. https://doi.org/10.1016/j.physleta.2011.10.073