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
N1 - Funding Information:
H.X.Y. and B.H.W. were supported by the National Important Research Project (Grant No. 91024026 ); the National Natural Science Foundation of China (Grant Nos. 11005001 , 10975126 and 10635040 ), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20093402110032 ). W.X.W. and Y.C.L. were supported by AFOSR under Grant No. FA9550-10-1-0083 .
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 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.
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 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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U2 - 10.1016/j.physleta.2011.10.073
DO - 10.1016/j.physleta.2011.10.073
M3 - Article
AN - SCOPUS:84855195686
SN - 0375-9601
VL - 376
SP - 282
EP - 285
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4
ER -