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arXiv · 1201.5198

Fragmentation transitions in multi-state voter models

Gesa A. Böhme·Thilo Gross
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Abstract

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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BibTeXRIS

Gesa A. Böhme, Thilo Gross. 2012-01-25. Fragmentation transitions in multi-state voter models. https://doi.org/10.1103/physreve.85.066117

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