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The Dynamic Properties Of Endogenous Growth Models

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  • Sedgley, Norman
  • Elmslie, Bruce

Abstract

This paper explores the dynamics of semiendogenous versus fully endogenous growth models in “lab equipment” specifications of the models with expanding sectors. Capital is allowed to accumulate and is used, together with other inputs, to produce new knowledge. The stability of the steady state path is found to be determined by the inequality and/or knife-edge restrictions needed to produce steady state growth. This paper takes the ratio of the shadow price of capital to knowledge and the level of consumption as jump variables. Semiendogenous growth models lead to a 4 × 4 dynamic system where the sign of the coefficient matrix of the log linearized dynamic system is indefinite, leading to a potential for both stable and unstable equilibria. The knife-edge restrictions needed to generate policy influences on growth are shown to be restrictions that reduce the system to 3 × 3 with a positive definite coefficient matrix, thereby guaranteeing a globally stable equilibrium. Implications for empirical testing are addressed.

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  • Sedgley, Norman & Elmslie, Bruce, 2013. "The Dynamic Properties Of Endogenous Growth Models," Macroeconomic Dynamics, Cambridge University Press, vol. 17(5), pages 1118-1134, July.
    • Handle: RePEc:cup:macdyn:v:17:y:2013:i:05:p:1118-1134_00
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    Cited by:

    1. Mendieta-Muñoz, Ivan, 2017. "On The Interaction Between Economic Growth And Business Cycles," Macroeconomic Dynamics, Cambridge University Press, vol. 21(4), pages 982-1022, June.
    2. Pedro Mazeda Gil & André Almeida, & Sofia B.S.D. Castro,, 2015. "Flexible Transitional Dynamics in a Non-Scale Fully Endogenous Growth Model," CEF.UP Working Papers 1503, Universidade do Porto, Faculdade de Economia do Porto.
    3. Pedro Mazeda Gil & Gustavo Iglésias,, 2018. "Endogenous Growth and Real Effects of Monetary Policy: R&D and Physical Capital Complementarities in a Cash-in-Advance Economy," CEF.UP Working Papers 1802, Universidade do Porto, Faculdade de Economia do Porto.
    4. Sedgley, Norman & Elmslie, Bruce, 2015. "Taxation and fiscal expenditure in a growth model with endogenous fertility," Economics Discussion Papers 2015-35, Kiel Institute for the World Economy (IfW Kiel).
    5. Pedro Mazeda Gil & Gustavo Iglésias, 2020. "Endogenous Growth and Real Effects of Monetary Policy: R&D and Physical Capital Complementarities," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 52(5), pages 1147-1197, August.
    6. Wei‐Neng Wang & Chia‐Ying Liu & Juin‐Jen Chang, 2021. "Tax policy implications for a two‐engine growing economy," Southern Economic Journal, John Wiley & Sons, vol. 87(3), pages 979-1009, January.

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