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Dynamic complexity in a Keynesian growth-cycle model involving Harrod's instability
Authors:Mario C Sportelli
Institution:(1) Dipartimento di Scienze Economiche, Università degli Studi di Bari, Via C. Rosalba, 53, I-70124 Bari, Italy;(2) Department of Economics, University of Glasgow, A. Smith Building, G12 8RT Glasgow, UK
Abstract:This paper develops a Keynesian macrodynamic model, where some recent reinterpretations of Harrod's dynamics are embodied. Its main purpose is to prove that Harrod's ldquoinstability principlerdquo may give rise to a chaotic motion (specifically a Scaronil'nikov scenario) around two equilibrium points: a steady-state unstable equilibrium, whose value depends on parameters defining the technical-progress dynamics, and a stationary state of zero growth. Furthermore, since it allows for a variable growth rate of labor productivity and assigns a key role to expectations, this model comes closer to modern theories of economic growth and endogenous business cycle.
Keywords:economic dynamics  chaotic fluctuations  business cycle  Harrod's dynamics
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