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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 - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - CNRS : UMR6579)

  • Alain Venditti

    ()
    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - CNRS : UMR6579)

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.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number halshs-00439240.

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Date of creation: 2009
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Handle: RePEc:hal:wpaper:halshs-00439240

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Keywords: Two-sector OLG model; dynamic efficiency; gross substitutability in consumption; local indeterminacy; stabilization policy;

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  1. Jean-Pierre Drugeon & Carine Nourry & Alain Venditti, 2009. "On efficiency and local uniqueness in two-sector OLG economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00439241, HAL.
  2. Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Centre de Recherche en Economie et Statistique.
  3. Guido Cazzavillan & Patrick A. Pintus, 2006. "Endogenous business cycles and dynamic inefficiency," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3-4), pages 279-294.
  4. Jean-Pierre Drugeon & Carine Nourry & Alain Venditti, 2006. "Does dynamic efficiency rule out sunspot fluctuations ?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00410787, HAL.
  5. Kazuo Nishimura & Tadashi Shigoka & Makoto Yano, 1998. "Interior Optimal Chaos with Arbitrarily Low Discount Rates," The Japanese Economic Review, Japanese Economic Association, vol. 49(3), pages 223-233, 09.
  6. Cremers, Emily, 2006. "Dynamic Efficiency in the Two-Sector Overlapping Generations Model," Staff General Research Papers 34856, Iowa State University, Department of Economics.
  7. Benhabib, Jess & Nishimura, Kazuo, 1981. "Stability of Equilibrium in Dynamic Models of Capital Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 275-93, June.
  8. Guido Cazzavillan & Patrick Pintus, 2006. "Dynamic Inefficiency in an Overlapping Generations Economy with Production," Working Papers 2006_40, Department of Economics, University of Venice "Ca' Foscari".
  9. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
  10. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-86, November.
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Cited by:
  1. Antoine Le Riche & Carine Nourry & Alain Venditti, 2012. "Efficient Endogenous Fluctuations in Two-Sector OLG Model," AMSE Working Papers 1242, Aix-Marseille School of Economics, Marseille, France, revised Dec 2012.
  2. 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.

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