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Sunspot Fluctuations in Two-Sector Models with Variable Income Effects

Frédéric Dufourt 1 Kazuo Nishimura 2, 3 Carine Nourry 1 Alain Venditti 4, 1
1 GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille
2 KIER, Kyoto University
3 RIEB, Kobe University
4 Edhec Business School - Edhec
Abstract : We analyze a version of the Benhabib and Farmer (1996) two-sector model with sector-specific externalities in which we consider a class of utility functions inspired from the one considered in Jaimovich and Rebelo (2009) which is flexible enough to encompass varying degrees of income effect. First, we show that local indeterminacy and sunspot fluctuations occur in 2-sector models under plausible configurations regarding all structural parameters—in particular regarding the intensity of income effects. Second, we prove that there even exist some configurations for which local indeterminacy arises under any degree of income effect. More precisely, for any given size of income effect, we show that there is a non-empty range of values for the Frisch elasticity of labor and the elasticity of intertemporal substitution in consumption such that indeterminacy occurs. This contrasts with the results obtained in one-sector models in both Nishimura et al. (2009), in which it is shown that indeterminacy cannot occur under either GHH and KPR preferences, and in Jaimovich (2008) in which local indeterminacy only arises for intermediary income effects.
Keywords : C62 E32 Economic Growth Economic Theory/Quantitative Economics/Mathematical Methods Game Theory Economics Social and Behav. Sciences Income and substitution effects Indeterminacy Infinite-horizon two-sector model O41 Sector-specific externalities Sunspots
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https://hal-amu.archives-ouvertes.fr/hal-01505779
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Submitted on : Tuesday, April 11, 2017 - 5:56:24 PM
Last modification on : Wednesday, August 5, 2020 - 3:10:56 AM

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Frédéric Dufourt, Kazuo Nishimura, Carine Nourry, Alain Venditti. Sunspot Fluctuations in Two-Sector Models with Variable Income Effects. Nishimura, Kazuo and Venditti, Alain and Yannelis, Nicholas C. Sunspots and Non-Linear Dynamics - Essays in Honor of Jean-Michel Grandmont, 31, Springer International Publishing, pp.71-96, 2017, Studies in Economic Theory, 978-3-319-44074-3 978-3-319-44076-7. ⟨hal-01505779⟩

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