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On efficiency and local uniqueness in two-sector OLG economies

Author

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  • Jean-Pierre Drugeon

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Carine Nourry

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

  • Alain Venditti

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

Abstract

We consider a two-sector overlapping generations model with homothetic preferences. Under standard conditions on technologies, upon large enough values for the share of first period consumption over the wage income, we prove that dynamic efficiency and local uniqueness of the competitive equilibrium hold. On the contrary, for lower values of the share of first period consumption over the wage income which imply dynamic inefficiency of the steady state, local indeterminacy arises without requiring strong restrictions on the sectoral elasticities of capital-labor substitution.

Suggested Citation

  • 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.
  • Handle: RePEc:hal:cesptp:halshs-00439241
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00439241
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    References listed on IDEAS

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    1. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
    2. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    3. 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 275-293, June.
    4. Kehoe, Timothy J. & Levine, David K. & Romer, Paul M., 1990. "Determinacy of equilibria in dynamic models with finitely many consumers," Journal of Economic Theory, Elsevier, vol. 50(1), pages 1-21, February.
    5. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
    6. Daniele Checchi & Cecilia García-Peñalosa, 2010. "Labour Market Institutions and the Personal Distribution of Income in the OECD," Economica, London School of Economics and Political Science, vol. 77(307), pages 413-450, July.
    7. Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2007. "Indeterminacy in dynamic models: When Diamond meets Ramsey," Journal of Economic Theory, Elsevier, vol. 134(1), pages 513-536, May.
    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. Brock, William A, 1973. "Some Results on the Uniqueness of Steady States in Multisector Models of Optimum Growth when Future Utilities are Discounted," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 535-559, October.
    10. Benhabib, Jess & Nishimura, Kazuo, 1989. "Stochastic Equilibrium Oscillations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(1), pages 85-102, February.
    11. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    12. Baxter, Marianne, 1996. "Are Consumer Durables Important for Business Cycles?," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 147-155, February.
    13. 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.
    14. 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.
    15. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, April.
    16. Cremers, Emily, 2006. "Dynamic Efficiency in the Two-Sector Overlapping Generations Model," Staff General Research Papers Archive 34856, Iowa State University, Department of Economics.
    17. Venditti, Alain, 2005. "The two sector overlapping generations model: A simple formulation," Research in Economics, Elsevier, vol. 59(2), pages 164-188, June.
    18. 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.
    19. Becker, Robert A. & Tsyganov, Eugene N., 2002. "Ramsey Equilibrium in a Two-Sector Model with Heterogeneous Households," Journal of Economic Theory, Elsevier, vol. 105(1), pages 188-225, July.
    20. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
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    Citations

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    Cited by:

    1. Antoine Le Riche, 2016. "Macroeconomic Volatility and Trade in OLG Economies," Working Papers halshs-01079773, HAL.
    2. repec:bla:ijethy:v:13:y:2017:i:4:p:401-425 is not listed on IDEAS
    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. 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.
    5. Antoine Le Riche, 2014. "Macroeconomic Volatility and Trade in OLG Economies," AMSE Working Papers 1446, Aix-Marseille School of Economics, Marseille, France, revised Nov 2014.
    6. Antoine Le Riche & Carine Nourry & Alain Venditti, 2012. "Efficient Endogenous Fluctuations in Two-Sector OLG Model," Working Papers halshs-00793704, HAL.
    7. Carine Nourry & Alain Venditti, 2011. "Endogenous Business Cycles in OLG Economies with Multiple Consumption Goods," Working Papers halshs-01059578, HAL.
    8. Valente, Simone, 2011. "Habit formation and resource dependence in dynastic economies," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 131-145, May.
    9. Antoine Le Riche & Francesco Magris, 2015. "Equilibrium Dynamics in a Two-Sector OLG Model with Liquidity Constraint," AMSE Working Papers 1536, Aix-Marseille School of Economics, Marseille, France.

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