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Efficient Endogenous Fluctuations in Two-Sector OLG Model

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  • Antoine Le Riche

    ()
    (AMSE - Aix-Marseille School of Economics - Aix-Marseille Univ. - Centre national de la recherche scientifique (CNRS) - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - Ecole Centrale Marseille (ECM))

  • Carine Nourry

    ()
    (AMSE - Aix-Marseille School of Economics - Aix-Marseille Univ. - Centre national de la recherche scientifique (CNRS) - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - Ecole Centrale Marseille (ECM), IUF - Institut Universitaire de France - Ministère de l'Enseignement Supérieur et de la Recherche Scientifique)

  • Alain Venditti

    ()
    (AMSE - Aix-Marseille School of Economics - Aix-Marseille Univ. - Centre national de la recherche scientifique (CNRS) - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - Ecole Centrale Marseille (ECM), EDHEC Business School - Département Comptabilité, Droit, Finance et Economie)

Abstract

We consider a two-sector two-good two-periods overlapping generations model with inelastic labor, consumption in both period of life and homothetic CES preferences. There are two consumption goods, one pure (non-durable) consumption and one consumable (durable) capital good which can be either consumed or invested. Assuming gross substitutability and a capital intensive pure consumption good, we prove the existence of efficient endogenous fluctuations through a Hopf bifurcation if the share of the consumption of young in the composite good is low enough. We also show that some fiscal policy rules can improve welfare and prevent the existence of business-cycle fluctuations in the economy by driving it to the optimal steady state as soon as it is announced.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number halshs-00793704.

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Date of creation: Dec 2012
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Handle: RePEc:hal:wpaper:halshs-00793704

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Related research

Keywords: Two-sector OLG model; multiple consumption goods; dynamic efficiency; endogenous fluctuations;

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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. Carine Nourry & Alain Venditti, 2009. "Local indeterminacy under dynamic efficiency in a two-sector overlapping generations economy," Working Papers halshs-00439240, HAL.
  3. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.
  4. Benhabib, Jess & Nishimura, Kazuo, 1983. "Competitive Equilibrium Cycles," Working Papers 83-30, C.V. Starr Center for Applied Economics, New York University.
  5. Venditti, Alain, 2005. "The two sector overlapping generations model: A simple formulation," Research in Economics, Elsevier, vol. 59(2), pages 164-188, June.
  6. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
  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. Jesus Fernandez-Villaverde & Dirk Krueger, 2002. "Consumption over the Life Cycle: Facts from Consumer Expenditure Survey Data," NBER Working Papers 9382, National Bureau of Economic Research, Inc.
  9. 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.
  10. Kalra, Sanjay, 1996. "Cyclical equilibria in multi-sector productive economies: The role of substitution and factor intensity," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1709-1729.
  11. Baxter, Marianne, 1996. "Are Consumer Durables Important for Business Cycles?," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 147-55, February.
  12. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
  13. 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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