IDEAS home Printed from https://ideas.repec.org/p/yor/yorken/16-01.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.york.ac.uk/media/economics/documents/discussionpapers/2016/1601.pdf
    File Function: Main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

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

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Maxime Menuet & Alexandru Minea & Patrick Villieu, 2019. "The Peril of Fiscal Rules," Post-Print hal-02314996, HAL.
    4. Xue, Jianpo & Yip, Chong K., 2018. "Home production, balanced-budget taxation and economic (in)stability," Journal of Macroeconomics, Elsevier, vol. 56(C), pages 231-242.
    5. Maxime Menuet & Alexandru Minea & Patrick Villieu, 2019. "Budget Rules, Distortionnary Taxes, and Aggregate Instability: A reappraisal," Working Papers hal-02153856, HAL.
    6. Kevin X.D. Huang & Qinglai Meng & Jianpo Xue, 2018. "Balanced‐Budget Rules and Aggregate Instability: The Role of Endogenous Capital Utilization," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(8), pages 1669-1709, December.
    7. 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.
    8. Nicolas Abad & Thomas Seegmuller & Alain Venditti, 2012. "Aggregate Instability under Labor Income Taxation and Balanced-Budget Rules: Preferences Matter," AMSE Working Papers 1217, Aix-Marseille School of Economics, France, revised Apr 2012.
    9. Abad, Nicolas & Venditti, Alain, 2021. "A Note On Balanced-Budget Income Taxes And Aggregate (In)Stability In Multi-Sector Economies," Macroeconomic Dynamics, Cambridge University Press, vol. 25(3), pages 824-843, April.
    10. 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.
    11. Le Riche, Antoine, 2022. "Balanced-budget fiscal rules and money growth pegging," Journal of Macroeconomics, Elsevier, vol. 73(C).
    12. Mauro Bambi & Siritas Kettanurak, 2017. "Procyclical endogenous taxation and aggregate instability," Discussion Papers 17/15, Department of Economics, University of York.
    13. Hyun Park, 2015. "Aggregate Instability and Fiscal Policies: Balanced Budget Rules and Productive Public Spending," Korean Economic Review, Korean Economic Association, vol. 31, pages 25-56.
    14. Abad, Nicolas & Lloyd-Braga, Teresa & Modesto, Leonor, 2020. "The failure of stabilization policy: Balanced-budget fiscal rules in the presence of incompressible public expenditures," Journal of Economic Dynamics and Control, Elsevier, vol. 120(C).
    15. Juin‐Jen Chang & Jang‐Ting Guo & Jhy‐Yuan Shieh & Wei‐Neng Wang, 2015. "Sectoral Composition Of Government Spending And Macroeconomic (In)Stability," Economic Inquiry, Western Economic Association International, vol. 53(1), pages 23-33, January.
    16. Chen, Shu-Hua & Guo, Jang-Ting, 2014. "Progressive taxation and macroeconomic (in)stability with utility-generating government spending," Journal of Macroeconomics, Elsevier, vol. 42(C), pages 174-183.
    17. Dufourt, Frédéric & Venditti, Alain & Vivès, Rémi, 2018. "On sunspot fluctuations in variable capacity utilization models," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 80-94.
    18. Jianpo Xue & Chong K. Yip, 2019. "Balanced‐budget rules and aggregate instability: The role of consumption taxes in a monetary economy," Pacific Economic Review, Wiley Blackwell, vol. 24(3), pages 403-415, August.
    19. 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.
    20. Zhiming Fu & Antoine Le Riche, 2022. "Public spending, monetary policy and macroeconomic instability," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(3), pages 580-608, June.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:yor:yorken:16/01. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Paul Hodgson (email available below). General contact details of provider: https://edirc.repec.org/data/deyoruk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.