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

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  • Nourry, Carine
  • Venditti, Alain

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 efficiency 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 fiscal 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 (1986) influential conclusion is compatible with positive elasticities of capital-labor substitution in a two-sector OLG economy.

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  • 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.
  • Handle: RePEc:eee:mateco:v:47:y:2011:i:2:p:164-169
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    1. 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, September.
    2. 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.
    3. Cremers, Emily T., 2006. "Dynamic efficiency in the two-sector overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 1915-1936, November.
    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. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
    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. 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, September.
    8. Jean-Pierre Drugeon & Carine Nourry & Alain Venditti, 2006. "Does dynamic efficiency rule out sunspot fluctuations ?," Working Papers halshs-00410787, HAL.
    9. 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.
    10. 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.
    11. Cremers, Emily, 2006. "Dynamic Efficiency in the Two-Sector Overlapping Generations Model," Staff General Research Papers Archive 34856, Iowa State University, Department of Economics.
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    Cited by:

    1. Antoine Le Riche, 2016. "Macroeconomic Volatility and Trade in OLG Economies," Working Papers halshs-01079773, HAL.
    2. Boucekkine, Raouf & Seegmuller, Thomas & Venditti, Alain, 2021. "Advances in growth and macroeconomic dynamics: In memory of Carine Nourry," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 1-6.
    3. Antoine Le Riche & Carine Nourry & Alain Venditti, 2012. "Efficient Endogenous Fluctuations in Two-Sector OLG Model," Working Papers halshs-00793704, HAL.
    4. Igor Fedotenkov, 2019. "Optimal asymmetric sector-specific labour taxation in an overlapping generations model," Journal of Economics, Springer, vol. 127(1), pages 1-18, June.
    5. Carine Nourry & Alain Venditti, 2011. "Endogenous Business Cycles in OLG Economies with Multiple Consumption Goods," Working Papers halshs-01059578, HAL.
    6. Barinci, Jean-Paul & Cho, Hye-Jin & Drugeon, Jean-Pierre, 2021. "On equilibrium elasticities of substitution in simple overlapping generations economies with heterogeneous goods," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 120-137.
    7. Antoine Le Riche, 2017. "Macroeconomic volatility and trade in OLG economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(4), pages 401-425, December.
    8. 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.
    9. Antoine Le Riche, 2014. "Macroeconomic Volatility and Trade in OLG Economies," AMSE Working Papers 1446, Aix-Marseille School of Economics, France, revised Nov 2014.
    10. Antoine Riche & Francesco Magris, 2017. "Equilibrium Dynamics in a Two-Sector OLG Model with Liquidity Constraint," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 147-174, Springer.
    11. Carine Nourry & Alena Sergeeva & Alain Venditti, 2011. "A Two-sector Overlapping Generations Model with Endogenous Discounting," Asia-Pacific Journal of Accounting & Economics, Taylor & Francis Journals, vol. 18(3), pages 359-385.

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