2000 character limit reached
Dynamics of Majority Rule with Differential Latencies (1012.1581v2)
Published 7 Dec 2010 in physics.soc-ph, cond-mat.stat-mech, and cs.SI
Abstract: 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.