Physics – Physics and Society
Scientific paper
2010-12-07
Phys. Rev. E 83, 031116 (2011)
Physics
Physics and Society
4 pages, 5 figures
Scientific paper
10.1103/PhysRevE.83.031116
We investigate the dynamics of the majority-rule opinion formation model when voters experience differential latencies. With this extension, voters that just adopted an opinion go into a latent state during which they are excluded from the opinion formation process. The duration of the latent state depends on the opinion adopted by the voter. The net result is a bias towards consensus on the opinion that is associated with the shorter latency. We determine the exit probability and time to consensus for systems of $N$ voters. Additionally, we derive an asymptotic characterisation of the time to consensus by means of a continuum model.
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