Fragmentation transitions in multi-state voter models

Gesa Böhme, Thilo Gross

Research output: Contribution to journalArticle (Academic Journal)peer-review

24 Citations (Scopus)


Adaptive models of opinion formation among humans can display a fragmentation transition, where a social network breaks into disconnected components. Here, we investigate this transition in a class of models with arbitrary number of opinions. In contrast to previous work we do not assume that opinions are equidistant or arranged on a one-dimensional conceptual axis. Our investigation reveals detailed analytical results on fragmentations in a three-opinion model, which are conrmed by agent-based simulations. Furthermore, we show that in certain models the number of opinions can be reduced without aecting the fragmentation points.
Original languageEnglish
Article number066117
Number of pages10
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Publication statusPublished - 2012

Structured keywords

  • Engineering Mathematics Research Group


  • adaptive networks, opinion formation, voter model, fragmentation transition


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