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

Author

Listed:
  • Kazuo Nishimura

    (Kyoto University)

  • Carine Nourry

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

  • Alain Venditti

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

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.

Suggested Citation

  • Kazuo Nishimura & Carine Nourry & Alain Venditti, 2008. "Indeterminacy in aggregate models with small externalities: an interplay between preferences and technology," Working Papers halshs-00281428, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00281428
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00281428
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    Citations

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    Cited by:

    1. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2011. "Poverty trap and global indeterminacy in a growth model with open-access natural resources," Journal of Economic Theory, Elsevier, vol. 146(2), pages 569-591, March.
    2. Magris, Francesco, 2012. "Indeterminacy and multiple steady states with sector-specific externalities," Economic Modelling, Elsevier, vol. 29(6), pages 2664-2672.
    3. d’Albis, Hippolyte & Augeraud-Veron, Emmanuelle & Venditti, Alain, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 295-308.
    4. Nishimura, Kazuo & Venditti, Alain, 2010. "Indeterminacy and expectation-driven fluctuations with non-separable preferences," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 46-56, July.
    5. Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2013. "Aggregate instability under balanced-budget consumption taxes: A re-examination," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1977-2006.
    6. Frederic Dufourt & Kazuo Nishimura & Alain Venditti, 2013. "Indeterminacy and sunspot fluctuations in two-sector RBC models: theory and calibration," Working Papers halshs-00796236, HAL.
    7. Nicolas Abad & Thomas Seegmuller & Alain Venditti, 2012. "Aggregate Instability under Labor Income Taxation and Balanced-Budget Rules: Preferences Matter," AMSE Working Papers 1217, Aix-Marseille School of Economics, France, revised Apr 2012.
    8. Jean-Philippe Garnier, 2013. "Keeping-up with the Joneses, a new source of fluctuations in the two-sector continuous-time models," Working Papers hal-00991664, HAL.
    9. Carboni, Oliviero A. & Russu, Paolo, 2013. "Linear production function, externalities and indeterminacy in a capital-resource growth model," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 422-428.

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