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.

Last time we have discussed the first non-linear transformation of the noisy voter model considered by me and R. Kazakevicius [1]. This time let us talk about the second non-linear transformation: transformation of the time scale.

Is everything fine in modern economics? Or are we approaching the new gilded age and the new 1930s?

Lets continue the topic of anomalous diffusion by considering my recent manuscript together with R. Kazakevicius [1]. In the said manuscript we have considered two different non-linear transformations of the noisy voter model. Here we present you with non-linear transformation of the observable.

In an earlier post we have defined the parliamentary presence and shown that the data from Brazilian and Lithuanian parliaments exhibits anomalous diffusion. Actually we have analyzed Lithuanian data [1], while Brazilian data was considered by Vieira and others [2]. Also in a follow up post we have shown that a noisy voter model is able to reproduce ballistic regime and normal diffusion when we consider individual agent trajectories. Now let us extend the model to account for sub-linear diffusion of parliamentary attendance.