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

  • Carine Nourry

    ()

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - ECM - Ecole Centrale de Marseille - AMU - Aix Marseille Université - EHESS - École des hautes études en sciences sociales - Université Paul Cézanne - Aix-Marseille 3 - Université de la Méditerranée - Aix-Marseille 2 - CNRS - Centre National de la Recherche Scientifique)

  • Alain Venditti

    ()

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - ECM - Ecole Centrale de Marseille - AMU - Aix Marseille Université - EHESS - École des hautes études en sciences sociales - Université Paul Cézanne - Aix-Marseille 3 - Université de la Méditerranée - Aix-Marseille 2 - CNRS - Centre National de la Recherche Scientifique)

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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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
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00439240
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  1. Guido Cazzavillan & Patrick Pintus, 2006. "Endogenous Business Cycles and Dynamic Inefficiency," Working Papers 2006_37, Department of Economics, University of Venice "Ca' Foscari".
  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. Cazzavillan, Guido & Pintus, Patrick, 2007. "Dynamic inefficiency in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 137(1), pages 754-759, November.
  4. 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.
  5. Cremers, Emily, 2006. "Dynamic Efficiency in the Two-Sector Overlapping Generations Model," Staff General Research Papers Archive 34856, Iowa State University, Department of Economics.
  6. 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.
  7. 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.
  8. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
  9. 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.
  10. 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.
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