Convergence to global consensus in opinion dynamics under a nonlinear voter model

Han-Xin Yang; Wen-Xu Wang; Ying-Cheng Lai; Bing-Hong Wang

doi:10.1016/j.physleta.2011.10.073

Convergence to global consensus in opinion dynamics under a nonlinear voter model

Han-Xin Yang, Wen-Xu Wang, Ying-Cheng Lai, Bing-Hong Wang

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

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 alpha controls the effect of herd behavior on consensus. We find that there exists an optimal value of alpha 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. (C) 2011 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	282-285
Number of pages	4
Journal	Physics Letters A
Volume	376
Issue number	4
DOIs	https://doi.org/10.1016/j.physleta.2011.10.073
Publication status	Published - 9 Jan 2012

Access to Document

10.1016/j.physleta.2011.10.073

Cite this

@article{06281bb7ca3d4208bd8d630d0b12f17c,

title = "Convergence to global consensus in opinion dynamics under a nonlinear voter model",

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 alpha controls the effect of herd behavior on consensus. We find that there exists an optimal value of alpha 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. (C) 2011 Elsevier B.V. All rights reserved.",

author = "Han-Xin Yang and Wen-Xu Wang and Ying-Cheng Lai and Bing-Hong Wang",

year = "2012",

month = jan,

day = "9",

doi = "10.1016/j.physleta.2011.10.073",

language = "English",

volume = "376",

pages = "282--285",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier",

number = "4",

}

TY - JOUR

T1 - Convergence to global consensus in opinion dynamics under a nonlinear voter model

AU - Yang, Han-Xin

AU - Wang, Wen-Xu

AU - Lai, Ying-Cheng

AU - Wang, Bing-Hong

PY - 2012/1/9

Y1 - 2012/1/9

N2 - 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 alpha controls the effect of herd behavior on consensus. We find that there exists an optimal value of alpha 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. (C) 2011 Elsevier B.V. All rights reserved.

AB - 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 alpha controls the effect of herd behavior on consensus. We find that there exists an optimal value of alpha 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. (C) 2011 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.physleta.2011.10.073

DO - 10.1016/j.physleta.2011.10.073

M3 - Article

SN - 0375-9601

VL - 376

SP - 282

EP - 285

JO - Physics Letters A

JF - Physics Letters A

IS - 4

ER -