Lack of consensus in social systems

Details Lack of consensus in social systems Lack of consensus in social systems

2007-09-25

arxiv.org/abs/0709.4042v1

EPL 82 (2008) 48006

Physics

Physics and Society

4 pages, 6 figures, submitted to Phys. Rev. Lett

Scientific paper

10.1209/0295-5075/82/48006

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model, as the connections in the network evolve with the dynamics of the voters. In the infinite time limit, an exact solution predicts the emergence of consensus, for arbitrary initial conditions. However, before consensus is reached, two different metastable states can persist for exponentially long times. One state reflects a perfect balancing of opinions, the other reflects a completely static situation. An estimate of the associated lifetimes suggests that lack of consensus is typical for large systems.

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