Mathematical Model of Microeconomic System with Different Social Responsibilities in Software Module

Abstract

Research goals and objectives: to study of the simplest possible mathematical model of microeconomic system with different social responsibilities of agents in accordance with agent based computational economics paradigm using a desktop application. Object of research: microeconomics system with heterogeneous agents. Subject of research: mathematical model of microeconomic system with different social responsibilities, equilibrium and disequilibrium states of the systems using desktop application. Research methods are: optimization methods, bifurcation analysis, stability analysis, simulation methods, game theoretic approach. Results of the research: dynamic models of microeconomic system with different social responsibilities (reciprocator and selfish types) were created using specially developed desktop application. Based on software module the conditions of stability, bifurcation and analysis were obtained. As a result of numerical investigation we have found that flip bifurcations occur with increasing of firms’ number in the market. If two-thirds of firms use naive expectation, then there appears the state of dynamic chaos.