Dynamics of Majority Rule with Differential Latencies

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.

4 pages, 5 figures

References in corpus (7)

• Statistical physics of social dynamics
• The role of inflexible minorities in the breaking of democratic opinion dynamics
• Heterogeneous believes, segregation and extremism in the making of public opinions
• Majority Rule Dynamics in Finite Dimensions
• Majority Model on a network with communities
• Dynamics of latent voters
• Consensus Formation in Multi-state Majority and Plurality Models

Cited by in corpus (2)

• A refined mean field approximation of synchronous discrete-time population models
• Spontaneous Opinion Swings in the Voter Model with Latency