Voter model with non-Poissonian interevent intervals

Taro Takaguchi*, Naoki Masuda

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

35 Citations (Scopus)

Abstract

Recent analysis of social communications among humans has revealed that the interval between interactions for a pair of individuals and for an individual often follows a long-tail distribution. We investigate the effect of such a non-Poissonian nature of human behavior on dynamics of opinion formation. We use a variant of the voter model and numerically compare the time to consensus of all the voters with different distributions of interevent intervals and different networks. Compared with the exponential distribution of interevent intervals (i.e., the standard voter model), the power-law distribution of interevent intervals slows down consensus on the ring. This is because of the memory effect; in the power-law case, the expected time until the next update event on a link is large if the link has not had an update event for a long time. On the complete graph, the consensus time in the power-law case is close to that in the exponential case. Regular graphs bridge these two results such that the slowing down of the consensus in the power-law case as compared to the exponential case is less pronounced as the degree increases.

Original languageEnglish
Article number036115
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume84
Issue number3
DOIs
Publication statusPublished - 2011 Sep 26
Externally publishedYes

ASJC Scopus subject areas

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

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