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Latent voter model on locally tree-like random graphs

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  • Huo, Ran
  • Durrett, Rick

Abstract

In the latent voter model, individuals who have just changed their choice have a latent period, which is exponential with rate λ, during which they will not change their opinion. We study this model on random graphs generated by a configuration model with degrees 3≤d(x)≤M. We show that if the number of vertices n→∞ and logn≪λn≪n then there is a quasi-stationary state in which each opinion has probability ≈1∕2 and persists in this state for a time that is ≥nm for any m<∞.

Suggested Citation

  • Huo, Ran & Durrett, Rick, 2018. "Latent voter model on locally tree-like random graphs," Stochastic Processes and their Applications, Elsevier, vol. 128(5), pages 1590-1614.
    • Handle: RePEc:eee:spapps:v:128:y:2018:i:5:p:1590-1614
    DOI: 10.1016/j.spa.2017.08.004
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    References listed on IDEAS

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    1. Erez Lieberman & Christoph Hauert & Martin A. Nowak, 2005. "Evolutionary dynamics on graphs," Nature, Nature, vol. 433(7023), pages 312-316, January.
    2. Cox, J. Theodore & Durrett, Rick, 2016. "Evolutionary games on the torus with weak selection," Stochastic Processes and their Applications, Elsevier, vol. 126(8), pages 2388-2409.
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