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Efficient Endogenous Fluctuations in Two-Sector OLG Model

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Author Info

  • Antoine Le Riche

    ()
    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS & EHESS)

  • Carine Nourry

    ()
    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS & EHESS and IUF)

  • Alain Venditti

    ()
    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS & EHESS and IUF)

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 Aix-Marseille School of Economics, Marseille, France in its series AMSE Working Papers with number 1242.

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Length: 23 pages
Date of creation: Dec 2012
Date of revision: Dec 2012
Handle: RePEc:aim:wpaimx:1242

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Web page: http://www.amse-aixmarseille.fr/en
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Keywords: Two-sector OLG model; multiple consumption goods; dynamic efficiency; endogenous fluctuations.;

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  1. 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.
  2. Daniele Checchi & Cecilia García Peñalosa, 2005. "Labour Market Institutions and the Personal Distribution of Income in the OECD," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1009, Universitá degli Studi di Milano.
  3. 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.
  4. Drugeon, Jean-Pierre & Nourry, Carine & Venditti, Alain, 2010. "On efficiency and local uniqueness in two-sector OLG economies," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 120-144, January.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. Takahashi, Harutaka & Mashiyama, Koichi & Sakagami, Tomoya, 2012. "Does The Capital Intensity Matter? Evidence From The Postwar Japanese Economy And Other Oecd Countries," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 103-116, April.
  10. 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.
  11. Nourry, Carine & Venditti, Alain, 2011. "Local indeterminacy under dynamic efficiency in a two-sector overlapping generations economy," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 164-169, March.
  12. 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.
  13. Venditti, Alain, 2005. "The two sector overlapping generations model: A simple formulation," Research in Economics, Elsevier, vol. 59(2), pages 164-188, June.
  14. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
  15. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
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