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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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    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. Jess Benhabib & Pengfei Wang & Yi Wen, 2015. "Sentiments and Aggregate Demand Fluctuations," Econometrica, Econometric Society, vol. 83, pages 549-585, March.
    3. Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc.
    4. 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.
    5. Campbell, John Y., 1999. "Asset prices, consumption, and the business cycle," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 19, pages 1231-1303, Elsevier.
    6. 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(1), pages 259-277, January.
    7. 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.
    8. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
    9. 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.
    10. 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.
    11. Mauro Bambi & Alain Venditti, 2021. "Time‐varying consumption tax, productive government spending, and aggregate instability," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(2), pages 190-215, June.
    12. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Destabilizing balanced-budget consumption taxes in multi-sector economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 113-130, March.
    13. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
    14. Lane, Philip R., 2003. "The cyclical behaviour of fiscal policy: evidence from the OECD," Journal of Public Economics, Elsevier, vol. 87(12), pages 2661-2675, December.
    15. 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.
    16. 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.
    17. Jonathan Gruber, 2013. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 1-20.
    18. Mendoza, Enrique G. & Milesi-Ferretti, Gian Maria & Asea, Patrick, 1997. "On the ineffectiveness of tax policy in altering long-run growth: Harberger's superneutrality conjecture," Journal of Public Economics, Elsevier, vol. 66(1), pages 99-126, October.
    19. 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.
    20. Annette Vissing-Jørgensen & Orazio P. Attanasio, 2003. "Stock-Market Participation, Intertemporal Substitution, and Risk-Aversion," American Economic Review, American Economic Association, vol. 93(2), pages 383-391, May.
    21. 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.
    22. 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.
    23. Shigoka Tadashi, 1994. "A Note on Woodford's Conjecture: Constructing Stationary Sunspot Equilibria in a Continuous Time Model," Journal of Economic Theory, Elsevier, vol. 64(2), pages 531-540, December.
    24. Linnemann, Ludger, 2008. "Balanced budget rules and macroeconomic stability with non-separable utility," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 199-215, March.
    25. Mendoza, Enrique G. & Razin, Assaf & Tesar, Linda L., 1994. "Effective tax rates in macroeconomics: Cross-country estimates of tax rates on factor incomes and consumption," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 297-323, December.
    26. 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.
    27. Roger E.A. Farmer, 2013. "Animal Spirits, Financial Crises and Persistent Unemployment-super-," Economic Journal, Royal Economic Society, vol. 0, pages 317-340, May.
    28. Guesnerie, Roger, 1986. "Stationary sunspot equilibria in an N commodity world," Journal of Economic Theory, Elsevier, vol. 40(1), pages 103-127, October.
    29. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Destabilizing balanced-budget consumption taxes in multi-sector economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 113-130, March.
    30. Narayana R. Kocherlakota, 1996. "The Equity Premium: It's Still a Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 42-71, March.
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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. Mauro Bambi & Alain Venditti, 2021. "Time‐varying consumption tax, productive government spending, and aggregate instability," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(2), pages 190-215, June.
    4. Zhiming Fu & Antoine Le Riche, 2021. "Progressive consumption tax and monetary policy in an endogenous growth model," Journal of Economics, Springer, vol. 133(3), pages 271-293, August.
    5. Fujisaki, Seiya, 2016. "Macroeconomic Effect of Consumption Tax on ”Dynamic” and ”Myopic” Agents," MPRA Paper 73500, University Library of Munich, Germany.

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    More about this item

    Keywords

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

    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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