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Sunspot Fluctuations in Two-Sector Models with Variable Income Effects

Author

Listed:
  • 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)

  • Kazuo Nishimura

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

  • Carine Nourry

    (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)

  • Alain Venditti

    (Edhec Business School - Edhec - Edhec, 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)

Abstract

We analyze a version of the Benhabib and Farmer [3] 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 [14] 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. [19], in which it is shown that indeterminacy cannot occur under either GHH and KPR preferences, and in Jaimovich [13] in which local indeterminacy only arises for intermediary income effects.

Suggested Citation

  • Frédéric Dufourt & Kazuo Nishimura & Carine Nourry & Alain Venditti, 2015. "Sunspot Fluctuations in Two-Sector Models with Variable Income Effects," Working Papers halshs-01269951, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01269951
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01269951
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    References listed on IDEAS

    as
    1. Guo, Jang-Ting & Harrison, Sharon G., 2010. "Indeterminacy with no-income-effect preferences and sector-specific externalities," Journal of Economic Theory, Elsevier, vol. 145(1), pages 287-300, January.
    2. Khan, Hashmat & Tsoukalas, John, 2011. "Investment shocks and the comovement problem," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 115-130, January.
    3. Raj Chetty & Adam Guren & Day Manoli & Andrea Weber, 2013. "Does Indivisible Labor Explain the Difference between Micro and Macro Elasticities? A Meta-Analysis of Extensive Margin Elasticities," NBER Macroeconomics Annual, University of Chicago Press, vol. 27(1), pages 1-56.
    4. Dufourt, Frédéric & Nishimura, Kazuo & Venditti, Alain, 2015. "Indeterminacy and sunspots in two-sector RBC models with generalized no-income-effect preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1056-1080.
    5. Rogerson, Richard & Wallenius, Johanna, 2009. "Micro and macro elasticities in a life cycle model with taxes," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2277-2292, November.
    6. Thomas HINTERMAIER, 2001. "Lower Bounds on Externalities in Sunspot Models," Economics Working Papers ECO2001/04, European University Institute.
    7. Hintermaier, Thomas, 2003. "On the minimum degree of returns to scale in sunspot models of the business cycle," Journal of Economic Theory, Elsevier, vol. 110(2), pages 400-409, June.
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    Cited by:

    1. Dufourt, Frédéric & Venditti, Alain & Vivès, Rémi, 2018. "On sunspot fluctuations in variable capacity utilization models," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 80-94.
    2. Been-Lon Chen & Shun‐Fa Lee & Xavier Raurich, 2018. "Non‐separable Utilities and Aggregate Instability," IEAS Working Paper : academic research 18-A002, Institute of Economics, Academia Sinica, Taipei, Taiwan.

    More about this item

    Keywords

    income and substitution effects; indeterminacy; sunspots; sector-specific externalities; infinite-horizon two-sector model;

    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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