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Debt Policy Rule, Productive Government Spending, And Multiple Growth Paths: A Note

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  • Minea, Alexandru
  • Villieu, Patrick

Abstract

In a very interesting endogenous growth model, Futagami, Iwaisako, and Ohdoi [Macroeconomic Dynamics 12 (2008), 445–462] study the long-run growth effect of borrowing for public investment. Their model exhibits (i) the multiplicity of balanced growth paths (BGPs) in the long run (two steady states) and (ii) a possible indeterminacy of the transition path to the high-growth BGP. The goal of this note is to show that their results depend on a sharp assumption, namely the definition of the public debt target as a ratio to private capital. If the target is defined in terms of public debt–to–GDP ratio, both results vanish: the model exhibits a unique BGP (no multiplicity) and the adjustment path to this unique equilibrium is determinate (no indeterminacy).

Suggested Citation

  • Minea, Alexandru & Villieu, Patrick, 2013. "Debt Policy Rule, Productive Government Spending, And Multiple Growth Paths: A Note," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 947-954, June.
  • Handle: RePEc:cup:macdyn:v:17:y:2013:i:04:p:947-954_00
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    Cited by:

    1. Alessandro Piergallini, 2021. "Is fiscal austerity really self‐defeating?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(6), pages 1228-1260, December.
    2. Nicolas CLOOTENS & Francesco MAGRIS, 2021. "The Environmental Unsustainability of Public Debt: Non-Renewable Resources, Public Finances Stabilization and Growth," LEO Working Papers / DR LEO 2871, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    3. Combes, Jean-Louis & Minea, Alexandru & Sawadogo, Pegdéwendé Nestor, 2021. "Does the composition of government spending matter for government bond spreads?," Economic Modelling, Elsevier, vol. 96(C), pages 409-420.
    4. Yasuoka, Masaya & Oguro, Kazumasa, 2015. "Public Education, Pension and Debt Policy," CIS Discussion paper series 649, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    5. Maebayashi, Noritaka & Hori, Takeo & Futagami, Koichi, 2017. "Dynamic Analysis Of Reductions In Public Debt In An Endogenous Growth Model With Public Capital," Macroeconomic Dynamics, Cambridge University Press, vol. 21(6), pages 1454-1483, September.
    6. Arnaud Cheron & Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2019. "Growth and Public Debt: What Are the Relevant Trade‐Offs?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(2-3), pages 655-682, March.
    7. A. Bhatt Hakhu & C. Sardoni, 2021. "Public expenditure and growth: the Indian case," European Journal of Economics and Economic Policies: Intervention, Edward Elgar Publishing, vol. 18(1), pages 77-101, April.
    8. Nishimura, Kazuo & Seegmuller, Thomas & Venditti, Alain, 2015. "Fiscal policy, debt constraint and expectations-driven volatility," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 305-316.
    9. Modesto, Leonor & Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2021. "Growth and instability in a small open economy with debt," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 26-37.
    10. Boucekkine, Raouf & Nishimura, Kazuo & Venditti, Alain, 2015. "Introduction to financial frictions and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 271-275.
    11. Nicolas Clootens & Francesco Magris, 2024. "Nonrenewable resource use sustainability and public debt," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
    12. Kazutoshi Miyazawa & Hikaru Ogawa & Toshiki Tamai, 2018. "Tax Competition and Fiscal Sustainability," CIRJE F-Series CIRJE-F-1104, CIRJE, Faculty of Economics, University of Tokyo.
    13. Mário Amorim Lopes & Fernando A. C. C. Fontes & Dalila A. C. C. Fontes, 2013. "Optimal Control of Infinite-Horizon Growth Models — A direct approach," FEP Working Papers 506, Universidade do Porto, Faculdade de Economia do Porto.
    14. Miyazawa, Kazutoshi & Ogawa, Hikaru & Tamai, Toshiki, 2019. "Capital market integration and fiscal sustainability," European Economic Review, Elsevier, vol. 120(C).
    15. Alessandro Piergallini, 2021. "Fiscal Stimulus of Last Resort," Papers 2104.02753, arXiv.org.
    16. Keiichi Morimoto & Takeo Hori & Noritaka Maebayashi & Koichi Futagami, 2017. "Debt Policy Rules in an Open Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(1), pages 158-177, February.

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