IDEAS home Printed from https://ideas.repec.org/a/wly/quante/v6y2015i1p189-221.html
   My bibliography  Save this article

Time‐consistent optimal fiscal policy over the business cycle

Author

Listed:
  • Zhigang Feng

Abstract

This paper examines a dynamic stochastic economy with a benevolent government that cannot commit to its future policies. I consider equilibria that are time‐consistent and allow for history‐dependent strategies. A new numerical algorithm is developed to solve for the set of equilibrium payoffs. For a baseline economy calibrated to the U.S. economy, the capital income tax with the highest social welfare is slightly procyclical, while the labor income tax is countercyclical. Compared with the data, this equilibrium provides a better account of the cyclical properties of U.S. tax policy than other solutions that abstract from history dependence. The welfare cost of no commitment is about 0.22% of aggregate consumption as compared to the Ramsey allocation with full commitment.

Suggested Citation

  • Zhigang Feng, 2015. "Time‐consistent optimal fiscal policy over the business cycle," Quantitative Economics, Econometric Society, vol. 6(1), pages 189-221, March.
  • Handle: RePEc:wly:quante:v:6:y:2015:i:1:p:189-221
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Prescott, Edward C., 1986. "Theory ahead of business-cycle measurement," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 11-44, January.
    2. Felix Kubler & Karl Schmedders, 2010. "Tackling Multiplicity of Equilibria with Gröbner Bases," Operations Research, INFORMS, vol. 58(4-part-2), pages 1037-1050, August.
    3. Chari, V.V. & Kehoe, Patrick J., 1999. "Optimal fiscal and monetary policy," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 26, pages 1671-1745, Elsevier.
    4. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    5. Adrian Peralta-Alva & Manuel S. Santos, 2010. "Problems in the Numerical Simulation of Models with Heterogeneous Agents and Economic Distortions," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 617-625, 04-05.
    6. Benhabib, Jess & Rustichini, Aldo, 1997. "Optimal Taxes without Commitment," Journal of Economic Theory, Elsevier, vol. 77(2), pages 231-259, December.
    7. Salvador Ortigueira, 2006. "Markov-Perfect Optimal Taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 153-178, January.
    8. Chari, V V & Christiano, Lawrence J & Kehoe, Patrick J, 1994. "Optimal Fiscal Policy in a Business Cycle Model," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 617-652, August.
    9. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    10. Paul Klein & JosÈ-VÌctor RÌos-Rull, 2003. "Time-consistent optimal fiscal policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(4), pages 1217-1245, November.
    11. Kenneth L. Judd & Sevin Yeltekin & James Conklin, 2003. "Computing Supergame Equilibria," Econometrica, Econometric Society, vol. 71(4), pages 1239-1254, July.
    12. Zhigang Feng & Jianjun Miao & Adrian Peralta‐Alva & Manuel S. Santos, 2014. "Numerical Simulation Of Nonoptimal Dynamic Equilibrium Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 83-110, February.
    13. Chari V. V. & Kehoe Patrick J., 1993. "Sustainable Plans and Debt," Journal of Economic Theory, Elsevier, vol. 61(2), pages 230-261, December.
    14. Catarina Reis, 2013. "Taxation without commitment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 565-588, March.
    15. Zhu, Xiaodong, 1992. "Optimal fiscal policy in a stochastic growth model," Journal of Economic Theory, Elsevier, vol. 58(2), pages 250-289, December.
    16. Christopher Phelan & Ennio Stacchetti, 2001. "Sequential Equilibria in a Ramsey Tax Model," Econometrica, Econometric Society, vol. 69(6), pages 1491-1518, November.
    17. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    18. Martin, Fernando M., 2010. "Markov-perfect capital and labor taxes," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 503-521, March.
    19. Prescott, Edward C., 1977. "Should control theory be used for economic stabilization?," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 7(1), pages 13-38, January.
    20. Paul Klein & Per Krusell & José-Víctor Ríos-Rull, 2008. "Time-Consistent Public Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 789-808.
    21. Kydland, Finn E. & Prescott, Edward C., 1980. "Dynamic optimal taxation, rational expectations and optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 79-91, May.
    22. David R. Stockman, 2001. "Balanced-Budget Rules: Welfare Loss and Optimal Policies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(2), pages 438-459, July.
    23. Prescott, Edward C., 1977. "Should control theory be used for economic stabilization?: A rejoinder," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 7(1), pages 101-102, January.
    24. David R. Stockman, 2004. "Default, Reputation and Balanced-Budget Rules," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 382-405, April.
    25. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    26. Marina Azzimonti-Renzo & Matthew Talbert, 2011. "Partisan cycles and the consumption volatility puzzle," Working Papers 11-21, Federal Reserve Bank of Philadelphia.
    27. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    28. Abreu, Dilip & Sannikov, Yuliy, 2014. "An algorithm for two-player repeated games with perfect monitoring," Theoretical Economics, Econometric Society, vol. 9(2), May.
    29. Debortoli, Davide & Nunes, Ricardo, 2010. "Fiscal policy under loose commitment," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1005-1032, May.
    30. Fischer, Stanley, 1980. "Dynamic inconsistency, cooperation and the benevolent dissembling government," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 93-107, May.
    31. Chang, Roberto, 1998. "Credible Monetary Policy in an Infinite Horizon Model: Recursive Approaches," Journal of Economic Theory, Elsevier, vol. 81(2), pages 431-461, August.
    32. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    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. Rüdiger Bachmann & Jinhui H. Bai, 2013. "Public consumption over the business cycle," Quantitative Economics, Econometric Society, vol. 4(3), pages 417-451, November.
    2. Kam, Timothy & Stauber, Ronald, 2016. "Solving dynamic public insurance games with endogenous agent distributions: Theory and computational approximation," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 77-98.
    3. Ateşağaoğlu, Orhan Erem & Torul, Orhan, 2018. "Optimal Ramsey taxation with endogenous risk aversion," Economics Letters, Elsevier, vol. 171(C), pages 87-92.
    4. Zhigang Feng & Jianjun Miao & Adrian Peralta‐Alva & Manuel S. Santos, 2014. "Numerical Simulation Of Nonoptimal Dynamic Equilibrium Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 83-110, February.
    5. Kang, Minwook & Kim, Eungsik, 2023. "A government policy with time-inconsistent consumers," Journal of Economic Behavior & Organization, Elsevier, vol. 214(C), pages 44-67.

    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. Oscar Mauricio VALENCIA ARANA, 2006. "Imperfect Government Insurance and Treasury Securities Markets," Archivos de Economía 2814, Departamento Nacional de Planeación.
    2. Brendon, Charles & Ellison, Martin, 2018. "Time-consistently undominated policies," LSE Research Online Documents on Economics 87176, London School of Economics and Political Science, LSE Library.
    3. Martin, Fernando M., 2010. "Markov-perfect capital and labor taxes," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 503-521, March.
    4. Occhino Filippo, 2012. "Government Debt Dynamics Under Discretion," The B.E. Journal of Macroeconomics, De Gruyter, vol. 12(1), pages 1-28, July.
    5. Filippo Occhino, 2005. "Optimal Fiscal Policy over the Business Cycle," Departmental Working Papers 200502, Rutgers University, Department of Economics.
    6. Vasilev, Aleksandar, 2013. "Fiscal policy in a Real-Business-Cycle model with labor-intensive government services and endogenous public sector wages and hours," EconStor Preprints 142338, ZBW - Leibniz Information Centre for Economics.
    7. Vasilev, Aleksandar, 2013. "Essays on Real Business Cycle Modeling and the Public Sector," EconStor Theses, ZBW - Leibniz Information Centre for Economics, number 130522, September.
    8. Begoña Domínguez, 2020. "Sustaining Ramsey plans with one-period bonds," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 387-410, September.
    9. Rüdiger Bachmann & Jinhui H. Bai, 2013. "Public consumption over the business cycle," Quantitative Economics, Econometric Society, vol. 4(3), pages 417-451, November.
    10. George Economides & Anastasios Rizos, 2021. "Optimal taxation: full-commitment versus time-consistent equilibrium," Economic Change and Restructuring, Springer, vol. 54(3), pages 717-753, August.
    11. Chari, V.V. & Nicolini, Juan Pablo & Teles, Pedro, 2020. "Optimal capital taxation revisited," Journal of Monetary Economics, Elsevier, vol. 116(C), pages 147-165.
    12. Catarina Reis, 2013. "Taxation without commitment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 565-588, March.
    13. Baltasar Manzano & Jesús Ruiz, 2004. "Política fiscal óptima: el estado de la cuestión," Investigaciones Economicas, Fundación SEPI, vol. 28(1), pages 5-41, January.
    14. Alex Schmitt, 2018. "Optimal Carbon Pricing and Income Taxation Without Commitment," ifo Working Paper Series 274, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.
    15. Debortoli, Davide & Nunes, Ricardo, 2010. "Fiscal policy under loose commitment," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1005-1032, May.
    16. Valentinyi, Ákos, 2001. "A tőkejövedelem optimális adóztatása [The optimal taxation of capital income]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(6), pages 459-479.
    17. Acemoglu, Daron & Golosov, Mikhail & Tsyvinski, Aleh, 2011. "Political economy of Ramsey taxation," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 467-475, August.
    18. Mathias Trabandt, 2006. "Optimal Pre-Announced Tax Reforms Under Valuable And Productive Government Spending," 2006 Meeting Papers 668, Society for Economic Dynamics.
    19. Kurozumi, Takushi, 2008. "Optimal sustainable monetary policy," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1277-1289, October.
    20. Pierre-Edouard Collignon, 2021. "No Regret Fiscal Reforms," Working Papers 2021-20, Center for Research in Economics and Statistics.

    More about this item

    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:wly:quante:v:6:y:2015:i:1:p:189-221. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.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.