%0 Journal Article
%T Fragmentation transitions in multi-state voter models
%A Gesa A. B£¿hme
%A Thilo Gross
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevE.85.066117
%X 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 confirmed by agent-based simulations. Furthermore, we show that in certain models the number of opinions can be reduced without affecting the fragmentation points.
%U http://arxiv.org/abs/1201.5198v1