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

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  • Mauro Bambi
  • Alain Venditti

Abstract

In this paper we study the dynamics of an economy with productive government spending under the assumption that the government balances its budget by levying endogenous non-linear consumption taxes. For standard specifcation of the utility function and production function, 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.

Suggested Citation

  • Mauro Bambi & Alain Venditti, 2016. "Time-varying Consumption Tax, Productive Government Spending, and Aggregate Instability," Discussion Papers 16/01, Department of Economics, University of York.
  • Handle: RePEc:yor:yorken:16/01
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    References listed on IDEAS

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    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. 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.
    5. 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.
    6. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
    7. 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.
    8. Roger E.A. Farmer, 2013. "Animal Spirits, Financial Crises and Persistent Unemployment-super-," Economic Journal, Royal Economic Society, vol. 0, pages 317-340, May.
    9. Guesnerie, Roger, 1986. "Stationary sunspot equilibria in an N commodity world," Journal of Economic Theory, Elsevier, vol. 40(1), pages 103-127, October.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. repec:hal:journl:halshs-00194395 is not listed on IDEAS
    15. 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.
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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

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

    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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