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On the Stability of the Two-Sector Neoclassical Growth Model with Externalities

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  • Herrendorf, Berthold
  • Valentinyi, Akos

Abstract

This Paper explores the local stability properties of the steady state in the two-sector neo-classical growth model with sector–specific externalities. We show analytically that capital adjustment costs of any size preclude local indeterminacy nearby the steady state for every empirically plausible specification of the model parameters. More specifically, we show that when capital adjustment costs of any size are considered, a necessary condition for local indeterminacy is an upward-sloping labour demand curve in the capital-producing sector, which in turn requires an implausibly strong externality. We show numerically that capital adjustment costs of plausible size imply determinacy nearby the steady state for empirically plausible specifications of the other model parameters. These findings contrast sharply with the previous finding that local indeterminacy occurs in the two-sector model for a wide range of plausible parameter values when capital adjustment costs are abstracted from.

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  • Herrendorf, Berthold & Valentinyi, Akos, 2002. "On the Stability of the Two-Sector Neoclassical Growth Model with Externalities," CEPR Discussion Papers 3435, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:3435
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    Cited by:

    1. Wei-Bin Zhang, 2015. "A Portfolio Equilibrium Model of Gold and Capital in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(12), pages 616-627, December.
    2. Su, Dan & Yao, Yang, 2016. "Manufacturing as the Key Engine of Economic Growth for Middle-Income Economies," ADBI Working Papers 573, Asian Development Bank Institute.
    3. Stockman, David R., 2009. "Chaos and sector-specific externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 2030-2046, December.
    4. Zhang, Jin Shui, 2011. "The analytical solution of balanced growth of non-linear dynamic multi-sector economic model," Economic Modelling, Elsevier, vol. 28(1), pages 410-421.
    5. Zhang Wei-Bin, 2014. "Land Value and Rent Dynamics in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," Scientific Annals of Economics and Business, De Gruyter Open, vol. 61(2), pages 235-258, December.
    6. Berthold Herrendorf & Akos Valentinyi, 2002. "Determinacy Through Intertemporal Capital Adjustment Costs," IEHAS Discussion Papers 0209, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
    7. Zhang, Jin Shui, 2011. "The analytical solution of balanced growth of non-linear dynamic multi-sector economic model," Economic Modelling, Elsevier, vol. 28(1-2), pages 410-421, January.
    8. Berthold Herrendorf & Akos Valentinyi, 2003. "Determinacy Through Intertemporal Adjustment Costs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 483-497, July.
    9. Zhang W.B., 2015. "Birth And Mortality Rates, Gender Division Of Labor, And Time Distribution In The Solow Growth Model," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 24(1), pages 121-134.

    More about this item

    Keywords

    capital adjustment costs; determinacy; externality; local indeterminacy; stability;

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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