Corruption: Taking into Account the Psychological Mimicry of Officials

摘要

A mathematical model of corruption with regard to psychological mimicry in the administrative apparatus with three forms of corruption is constructed. It is assumed that the change of officials forms of corruption is due to situational factors, and anti-corruption laws imply the change of the dominant form. Form's changing is modeled by the system of four differential equations (including groups of corrupt officials), describing the number of groups. The speed of the transition from group to group is expressed through the frequency of meetings. The controlling influence is expressed through the force of anticorruption laws. Two cases are discussed: strictly constant and variable (depending on the scope of one or another form). The equilibrium states that allow to specify the dominant form and investigate its stability, depending on the parameters of the psychological mimicry and rigor of anti-corruption laws are found and discussed.