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Time-varying Consumption Tax, Productive Government Spending, and Aggregate Instability

Author

Listed:
  • Mauro Bambi

    (Department of Economics and Related Studies, University of York)

  • Alain Venditti

    () (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - Ecole Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique, EDHEC - EDHEC Business School)

Abstract

In this paper we investigate if government balanced-budget rules together with endogenous taxation may lead to aggregate instability in an endogenous growth framework. After highlighting the differences with the exogenous growth framework, we prove that under counter-cyclical consumption taxes, while there exists a unique balanced growth path, sunspot equilibria based on self-fulfilling expectations occur through a form of global indeterminacy. In addition, we argue that this result is empirically plausible for a large set of OECD countries and that it may also emerge with endogenous income taxes.

Suggested Citation

  • Mauro Bambi & Alain Venditti, 2018. "Time-varying Consumption Tax, Productive Government Spending, and Aggregate Instability," Working Papers halshs-01934819, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01934819
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01934819
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    References listed on IDEAS

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    1. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    2. Linnemann, Ludger, 2008. "Balanced budget rules and macroeconomic stability with non-separable utility," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 199-215, March.
    3. Jones, Larry E. & Manuelli, Rodolfo E., 1997. "The sources of growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 75-114, January.
    4. Abad, Nicolas & Seegmuller, Thomas & Venditti, Alain, 2017. "Nonseparable Preferences Do Not Rule Out Aggregate Instability Under Balanced-Budget Rules: A Note," Macroeconomic Dynamics, Cambridge University Press, vol. 21(01), pages 259-277, January.
    5. Chryssi Giannitsarou, 2007. "Balanced Budget Rules and Aggregate Instability: The Role of Consumption Taxes," Economic Journal, Royal Economic Society, vol. 117(523), pages 1423-1435, October.
    6. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    7. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
    8. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
    9. Roger E.A. Farmer, 2013. "Animal Spirits, Financial Crises and Persistent Unemployment-super-," Economic Journal, Royal Economic Society, vol. 0, pages 317-340, May.
    10. Guesnerie, Roger, 1986. "Stationary sunspot equilibria in an N commodity world," Journal of Economic Theory, Elsevier, vol. 40(1), pages 103-127, October.
    11. Dos Santos Ferreira, Rodolphe & Lloyd-Braga, Teresa, 2008. "Business cycles with free entry ruled by animal spirits," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3502-3519, November.
    12. Drugeon, Jean-Pierre & Wigniolle, Bertrand, 1996. "Continuous-Time Sunspot Equilibria and Dynamics in a Model of Growth," Journal of Economic Theory, Elsevier, vol. 69(1), pages 24-52, April.
    13. Kazuo Nishimura & Tadashi Shigoka, 2006. "Sunspots and Hopf bifurcations in continuous time endogenous growth models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3‐4), pages 199-216, September.
    14. Teresa Lloyd‐Braga & Leonor Modesto & Thomas Seegmuller, 2008. "Tax Rate Variability and Public Spending as Sources of Indeterminacy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 399-421, June.
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    16. Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2013. "Aggregate instability under balanced-budget consumption taxes: A re-examination," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1977-2006.
    17. Teresa Lloyd-Braga & Leonor Modesto & Thomas Seegmuller, 2008. "Tax Rate Variability and Public Spending as Sources of Indeterminacy," Post-Print halshs-00194395, HAL.
    18. Jess Benhabib & Kazuo Nishimura & Tadashi Shigoka, 2008. "Bifurcation and sunspots in the continuous time equilibrium model with capacity utilization," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(2), pages 337-355, June.
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    Citations

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    Cited by:

    1. Mauro Bambi & Siritas Kettanurak, 2017. "Procyclical endogenous taxation and aggregate instability," Discussion Papers 17/15, Department of Economics, University of York.
    2. Fujisaki, Seiya, 2017. "Equilibrium Determinacy in a Two-Tax System with Utility from Government Expenditure," MPRA Paper 81214, University Library of Munich, Germany.
    3. Fujisaki, Seiya, 2016. "Macroeconomic Effect of Consumption Tax on ”Dynamic” and ”Myopic” Agents," MPRA Paper 73500, University Library of Munich, Germany.

    More about this item

    Keywords

    sunspot equilibria; self-fulfilling expectations; global indeterminacy; time-varying consumption tax; endogenous growth;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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