Dynamics of majority rule with differential latencies

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. This leads to a bias toward 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 characterization of the time to consensus by means of a continuum model.