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

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Abstract

We study a class of two-sector neoclassical growth models, in which one sector produces consumption goods and the other sector produces the capital goods for both sectors and in which the capital-producing sector has sector-specific externalities. We show analytically that if the capital goods for the two sectors are imperfect substitutes, then local indeterminacy near the steady state is impossible for every empirically plausible specification of the model parameters. More specifically, we show that a necessary condition for local indeterminacy is an upward-sloping aggregate labor demand curve in the capital sector, which requires a counterfactual strength of the externality. We show numerically that an elasticity of substitution of plausible size implies determinacy near the steady state for all empirically plausible specifications of the model parameters. These findings differ sharply from the standard result that if the two capital goods are perfect substitutes, then local indeterminacy occurs in the two-sector model for a wide range of plausible parameter values.

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  • Berthold Herrendorf & Akos Valentinyi, "undated". "On the Stability of the Two-Sector Neoclassical Growth Model with Externalities," Working Papers 2167721, Department of Economics, W. P. Carey School of Business, Arizona State University.
    • Handle: RePEc:asu:wpaper:2167721
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    Cited by:

    1. is not listed on IDEAS
    2. Wei-Bin Zhang, 2018. "Business Cycles, Growth, And Imported Energy In A Small-Open Growth Model," Oradea Journal of Business and Economics, University of Oradea, Faculty of Economics, vol. 3(2), pages 7-21, September.
    3. Wei-Bin Zhang, 2018. "Business Cycles In A General Equilibrium Dynamic Model With Land Value And Rent," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 63(216), pages 7-34, January –.
    4. Stockman, David R., 2009. "Chaos and sector-specific externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 2030-2046, December.
    5. repec:beo:journl:v:62:y:2018:i:216:p:7-34 is not listed on IDEAS
    6. 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, Sciendo, vol. 61(2), pages 235-258, December.
    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. 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.
    9. Berthold Herrendorf & Akos Valentinyi, 2002. "Determinacy Through Intertemporal Capital Adjustment Costs," CERS-IE WORKING PAPERS 0209, Institute of Economics, Centre for Economic and Regional Studies.
    10. Dan Su & Yang Yao, 2017. "Manufacturing as the key engine of economic growth for middle-income economies," Journal of the Asia Pacific Economy, Taylor & Francis Journals, vol. 22(1), pages 47-70, January.
    11. 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.
    12. 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.
    13. 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

    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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