Effects of social diversity on the emergence of global consensus in opinion dynamics

Han Xin Yang*, Zhi Xi Wu, Changsong ZHOU, Tao Zhou, Bing Hong Wang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

61 Citations (Scopus)


We propose a variant of the voter model by introducing the social diversity in the evolution process. Each individual is assigned a weight that is proportional to the power of its degree, where the power exponent α is an adjustable parameter that controls the level of diversity among individuals in the network. At each time step, a pair of connected individuals, say i and j, are randomly selected to update their opinions. The probability pi of choosing i s opinion as their common opinion is proportional to i s weight. We consider the scale-free topology and concentrate on the efficiency of reaching the final consensus, which is significant in characterizing the self-organized systems. Interestingly, it is found that there exists an optimal value of α, leading to the shortest consensus time. This phenomenon indicates that, although a strong influence of high-degree individuals is helpful for quick consensus achievement, over strong influence inhibits the convergence process. Other quantities, such as the probability of an individual's initial opinion becomes the final opinion as a function of degree, the evolution of the number of opinion clusters, as well as the relationship between average consensus time and the network size, are also studied. Our results are helpful for better understanding the role of degree heterogeneity of the individuals in the opinion dynamics.

Original languageEnglish
Article number046108
JournalPhysical Review E
Issue number4
Publication statusPublished - 14 Oct 2009

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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