Stationary distribution of the noisy voter model with supportive interactions

In the last few posts we have discussed voter model with supportive interactions. In most cases the support is strong and drives even non-extensive model, which is described by a broad stationary distribution in the absence of support, to a stationary point. Yet there are cases when such driving is not overly strong and some stochastic behavior is retained. In this post we present an app, which also allows you to examine stationary PDF of the model, where support suppresses recruitment.

Supportive interactions in the noisy voter model preventing recruitment

Typically voter models assume that recruitment occurs between two interacting individuals. Obviously recruitment can occur only if these individuals have different opinions. While nothing will happen if these individuals hold the same opinions. Though Latane social impact [1] predicts that support provided by like-minded individuals can also play a role.

In a previous post we have consider the case when support prevents both recruitment and independent transitions. This needs not to be the case if we assume that independent transitions are not influenced by the support provided by the peers. This yields another variation of the noisy voter model with supportive interactions, which exhibits a more complicated phase portrait. This model is also a part of my last paper of the postdoctoral project [2].

Extra Credits: Teddy Roosevelt the Trustbuster

Another excellent series from Extra Credits is dedicated to the fight against Standard Oil, the megacorporation of the 1900s. We share this video becomes its themes strongly overlap with an earlier video from Wisecrack we have shared few weeks ago. Numerous historical billionaires mentioned in the Wisecrack videos are also seen in this series by Extra Credits.

We invite you to watch the first video and find later videos on the Extra Credits channel on Youtube.

Supportive interactions in the noisy voter model

Typically voter models assume that recruitment occurs between two interacting individuals. Obviously recruitment can occur only if these individuals have different opinions. While nothing will happen if these individuals hold the same opinions. Though Latane social impact [1] predicts that support provided by like-minded individuals can also play a role. In this post I'll discuss my last work done during my postdoctoral project [2], which introduces supportive interactions into the voter model.