Fragmentation transitions in multi-state voter models

Details Fragmentation transitions in multi-state voter models Fragmentation transitions in multi-state voter models

2012-01-25

arxiv.org/abs/1201.5198v1

Physics

Physics and Society

11 pages, 8 figures

Scientific paper

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.

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