Simulation of the “Power–Society–Economics” System with Elements of Corruption Based on Cellular Automata

Abstract

This paper presents a modification of the stochastic cellular automaton-based version of the “power–society–economics” model that describes the dynamics of power distribution in a hierarchy taking into account social and economic processes and corruption in the system of power. This approach allows the model to incorporate a number of new factors, including transport communications among municipalities and regions. The basic principles of the model are presented, a simulation system is constructed, and a number of numeric experiments unimplementable with a continuous deterministic model are conducted. Some new results are obtained, including the relationship between the power dynamics and corruption level, as well as the influence of the transport network on the dynamics of the system.