The size impact on evolutionary dynamics of agents-cluster

Abstract

A cluster theory based mathematical model was developed and used to simulate the dynamics of a system composed of a large number of interacting agents-clusters with different size. The case of a system formed by a constant total number of economic units (agents) in metastable (partial) equilibrium was considered, and the size effect on the formation of the groups (clusters) of agents was particularly elucidated. We prove that the fragmentation and coagulation rates of groups of agents definitely depend on the size of the group.