Neoclassical growth model with multiple distributed delays

Abstract

This paper demonstrates that the delay has a dual effects of being destabilizer and stabilizer. For this purpose, we use a traditional neoclassical growth model augmented with two continuously distributed time delays, time-to-build delay and time-to-depreciate delay. Applying the Routh-Hurwitz stability criterion, we first construct a condition under which a stationary state loses stability and bifurcates to a cyclic oscillations. It is then numerically demonstrated that the delay has the dual effects: the main role of the delay is to destabilize an otherwise stable economy and it is found that the delay can also stabilize the economy, depending on the combination of two delays. The dual effect is specific to a two delay dynamic model.