BioND — Dynamics of Biological Networks

Fragmentation transitions in multi-state voter models

Gesa A. Böhme and Thilo Gross
Physical Review E 85, 066117-10, 2012.



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 con rmed by agent-based simulations. Furthermore, we show that in certain models the number of opinions can be reduced without a ecting the fragmentation points.