Controlling endogenous fluctuations of human capital investment in an OLG economy

Abstract

A bifurcation occurs when there is a sudden qualitative or topological change in the behavior of the original system by varying one or more parameters (the bifurcation parameters) of the original system. Bifurcation can cause unacceptable new conditions or instability in the economy system. Its control is done by designing a controller input, thereby achieving desirable dynamical behavior. This paper deals with the control of a bifurcation caused by a rise in information costs in a human capital investment model. By employing the delayed feedback control (DFC) method, unstable fluctuations stemming from the system can be controlled without changing its original properties. In addition, we show the effectiveness and feasibility of the developed methods in the system with explicit functions.