Transition dynamics in an AK growth model under wage rigidity

Greiner A. Transition dynamics in an AK growth model under wage rigidity. Mathematical Social Sciences. 2012;63(1):50-56.In this paper, we analyze the so-called AK endogenous growth model with persistent unemployment due to wage rigidities that result from labor market imperfections. We demonstrate that the existence of a balanced growth path implies that it is unique or that there exist two balanced growth paths, depending on the structural parameters of the model. The balanced growth path associated with the higher growth rate is saddle point stable, whereas the path yielding the lower long-run growth rate is either stable or unstable. Further, we show that a Hopf bifurcation may arise, giving rise to persistent limit cycles. (C) 2011 Elsevier B.V. All rights reserved