Indeterminacy in aggregate models with small externalities: an interplay between preferences and technology

Kazuo Nishimura, Carine Nourry and Alain Venditti

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Abstract: In this paper we consider a Ramsey-type aggregate model with general preferences and technology, endogenous labor and factor-specificproductive external effects arising from average capital and labor. First, we show that indeterminacy cannot arise when there are onlycapital externalities but that it does when there are only labor external effects. Second, we prove that only the additively-separable and linear homogeneous specifications for the utility function allow to get local indeterminacy under small externalities and plausible restrictions on the main parameters. Third, we show that the existence of sunspot fluctuations is intimately related to the occurrence of periodic cycles through a Hopf bifurcation.

Keywords: Indeterminacy; endogenous cycles; infinite-horizon model; endogenous labor supply; capital and labor externalities (search for similar items in EconPapers)
Date: 2008-05-22
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00281428v1
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