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arXiv · 1012.1581

Dynamics of Majority Rule with Differential Latencies

Alexander Scheidler
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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.

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Alexander Scheidler. 2010-12-07. Dynamics of Majority Rule with Differential Latencies. https://doi.org/10.1103/physreve.83.031116

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