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.
|Number of pages
|Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
|Published - 2012
- Engineering Mathematics Research Group
- adaptive networks, opinion formation, voter model, fragmentation transition