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Local indeterminacy under dynamic efficiency in a two-sector overlapping generations economy

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  • 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

We consider a two-sector two-periods overlapping generations model with inelastic labor, consumption in both periods of life and homothetic CES preferences. Assuming gross substitutability and a capital intensive consumption good, we prove that when dynamic eciency holds, local indeterminacy and sunspot fluctuations occur with low enough values for the sectoral elasticities of capital-labor substitution and we illustrate this finding within a standard example. This result shows that some scale policy rules can prevent the existence of business-cycle fluctuations in the economy by driving it to the optimal steady state as soon as it is announced, and thus shows that Reichlin's [9] influential conclusion is a robust property in a two-sector OLG economy.

Suggested Citation

  • Carine Nourry & Alain Venditti, 2009. "Local indeterminacy under dynamic efficiency in a two-sector overlapping generations economy," Working Papers halshs-00439240, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00439240
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00439240v1
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    Cited by:

    1. Antoine Le Riche, 2016. "Macroeconomic Volatility and Trade in OLG Economies," Working Papers halshs-01079773, HAL.
    2. Boucekkine, Raouf & Seegmuller, Thomas & Venditti, Alain, 2021. "Advances in growth and macroeconomic dynamics: In memory of Carine Nourry," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 1-6.
    3. Antoine Le Riche & Carine Nourry & Alain Venditti, 2012. "Efficient Endogenous Fluctuations in Two-Sector OLG Model," Working Papers halshs-00793704, HAL.
    4. Igor Fedotenkov, 2019. "Optimal asymmetric sector-specific labour taxation in an overlapping generations model," Journal of Economics, Springer, vol. 127(1), pages 1-18, June.
    5. Carine Nourry & Alain Venditti, 2011. "Endogenous Business Cycles in OLG Economies with Multiple Consumption Goods," Working Papers halshs-01059578, HAL.
    6. Barinci, Jean-Paul & Cho, Hye-Jin & Drugeon, Jean-Pierre, 2021. "On equilibrium elasticities of substitution in simple overlapping generations economies with heterogeneous goods," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 120-137.
    7. Antoine Le Riche, 2017. "Macroeconomic volatility and trade in OLG economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(4), pages 401-425, December.
    8. Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    9. Nourry, Carine & Venditti, Alain, 2012. "Endogenous Business Cycles In Overlapping-Generations Economies With Multiple Consumption Goods," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 86-102, April.
    10. Antoine Le Riche, 2014. "Macroeconomic Volatility and Trade in OLG Economies," AMSE Working Papers 1446, Aix-Marseille School of Economics, France, revised Nov 2014.
    11. Carine Nourry & Alena Sergeeva & Alain Venditti, 2011. "A Two-sector Overlapping Generations Model with Endogenous Discounting," Asia-Pacific Journal of Accounting & Economics, Taylor & Francis Journals, vol. 18(3), pages 359-385.
    12. Antoine Riche & Francesco Magris, 2017. "Equilibrium Dynamics in a Two-Sector OLG Model with Liquidity Constraint," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 147-174, Springer.

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