Size-Distribution Scaling in Clusters of Allelomimetic Agents

Abstract

The allelomimesis clustering model is based on only two parameters: a local parameter $\alpha$ that represents the probability of nearest-neighbor copying and a global parameter $p$ that represents the fraction of unresponsive agents. The model results into the formation of clusters of agents, the sizes of which obey a distribution that is determined by the values of $\alpha$ and $p$. Several experimental data are fitted by tuning the two parameters. In particular, the significance of the value of $\alpha$ that corresponds to an experimental data is discussed and is justified according to behavioral context. Recommendations for possible extensions of the model are also enumerated.