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Sunspot Fluctuations in Two-Sector Models: New Results with Additively-Separable Preferences

Author

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  • Frédéric Dufourt

    () (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - ECM - Ecole Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - EHESS - École des hautes études en sciences sociales, IUF - Institut Universitaire de France)

  • Kazuo Nishimura

    (KIER, Kyoto University - Kyoto University [Kyoto], RIEB, Kobe University - Kobe University)

  • Alain Venditti

    () (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - ECM - Ecole Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - EHESS - École des hautes études en sciences sociales, EDHEC - EDHEC Business School - Edhec)

Abstract

We analyze local indeterminacy and sunspot-driven fluctuations in the standard two-sector model with additively separable preferences. We provide a detailed theoretical analysis enabling us to derive relevant bifurcation loci and to characterize the steady-state local stability properties as a function of various structural parameters influencing the degree of increasing returns to scale, the amount of intertemporal substitution in consumption, and the elasticity of the aggregate labor supply curve. On the theoretical side, we prove the existence of both a flip and a Hopf bifurcation locus in the corresponding parameter space. We also show that local indeterminacy can be obtained under any labor supply elasticity or under an arbitrarily low elasticity of intertemporal substitution in consumption. On the empirical side, we find that indeterminacy and sunspot fluctuations are robust features of two-sector models, prevailing for most empirically plausible calibrations for these parameters.

Suggested Citation

  • Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2015. "Sunspot Fluctuations in Two-Sector Models: New Results with Additively-Separable Preferences," Working Papers halshs-01131425, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01131425
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01131425
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    two-sector model; sunspots; real business cycles; sector-specific externalities; indeterminacy;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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