Note on Goodwin's 1951 nonlinear accelerator model with an investment delay

This paper reexamines Goodwin's business cycle model with nonlinear acceleration principle that gives rise to cyclic oscillations when its stationary state is locally unstable. Fixed time delay in the investment is replaced by continuously distributed time delay. It is first demonstrated that the latter has stronger stabilizing effect than the former and, second, that Multiple limit cycles may coexist when the stationary state is locally stable. (C) 2008 Elsevier B.V. All rights reserved.