IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v33y2009i8p1604-1616.html
   My bibliography  Save this article

Methods for robust control

Author

Listed:
  • Dennis, Richard
  • Leitemo, Kai
  • Söderström, Ulf

Abstract

Robust control allows policymakers to formulate policies that guard against model misspecification. The principal tools used to solve robust control problems are state-space methods [see Hansen, L.P., Sargent T.J., 2008. Robustness. Princeton University Press; Giordani, P., Söderlind, P., 2004. Solution of macromodels with Hansen-Sargent robust policies: some extensions. Journal of Economic Dynamics and Control 28 (12), 2367-2397]. In this paper we show that the structural-form methods developed by Dennis [2007. Optimal policy rules in rational-expectations models: new solution algorithms. Macroeconomic Dynamics 11 (1), 31-55] to solve control problems with rational expectations can also be applied to robust control problems, with the advantage that they bypass the task, often onerous, of having to express the reference model in state-space form. In addition, we show how to implement two different timing assumptions with distinct implications for the robust policy and the economy. We apply our methods to a New Keynesian Dynamic Stochastic General Equilibrium model and find that robustness has important effects on policy and the economy.

Suggested Citation

  • Dennis, Richard & Leitemo, Kai & Söderström, Ulf, 2009. "Methods for robust control," Journal of Economic Dynamics and Control, Elsevier, vol. 33(8), pages 1604-1616, August.
  • Handle: RePEc:eee:dyncon:v:33:y:2009:i:8:p:1604-1616
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(09)00047-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Giordani, Paolo & Soderlind, Paul, 2004. "Solution of macromodels with Hansen-Sargent robust policies: some extensions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2367-2397, December.
    2. Buiter,Willem H. & Marston,Richard C., 1986. "International Economic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521337809, May.
    3. Leitemo, Kai & Söderström, Ulf, 2008. "Robust Monetary Policy In The New Keynesian Framework," Macroeconomic Dynamics, Cambridge University Press, vol. 12(S1), pages 126-135, April.
    4. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    5. 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.
    6. Glenn D. Rudebusch, 2002. "Assessing Nominal Income Rules for Monetary Policy with Model and Data Uncertainty," Economic Journal, Royal Economic Society, vol. 112(479), pages 402-432, April.
    7. Engle, Robert F & Hendry, David F & Richard, Jean-Francois, 1983. "Exogeneity," Econometrica, Econometric Society, vol. 51(2), pages 277-304, March.
    8. Leitemo, Kai & Söderström, Ulf, 2008. "Robust monetary policy in a small open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3218-3252, October.
    9. Dennis, Richard, 2007. "Optimal Policy In Rational Expectations Models: New Solution Algorithms," Macroeconomic Dynamics, Cambridge University Press, vol. 11(1), pages 31-55, February.
    10. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 40-84, February.
    11. Dennis, Richard & Soderstrom, Ulf, 2006. "How Important Is Precommitment for Monetary Policy?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(4), pages 847-872, June.
    12. Anderson, Evan W. & McGrattan, Ellen R. & Hansen, Lars Peter & Sargent, Thomas J., 1996. "Mechanics of forming and estimating dynamic linear economies," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 4, pages 171-252, Elsevier.
    13. Currie,David & Levine,Paul, 2009. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521104609, May.
    14. Andrew T. Levin & Alexei Onatski & John Williams & Noah M. Williams, 2006. "Monetary Policy under Uncertainty in Micro-Founded Macroeconometric Models," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 229-312, National Bureau of Economic Research, Inc.
    15. Lars Peter Hansen & Thomas J Sargent, 2014. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 4, pages 83-143, World Scientific Publishing Co. Pte. Ltd..
    16. Richard Dennis, 2005. "Robust control with commitment: a modification to Hansen-Sargent," Working Paper Series 2005-20, Federal Reserve Bank of San Francisco.
    17. Backus, David & Driffill, John, 1986. "The Consistency of Optimal Policy in Stochastic Rational Expectations Models," CEPR Discussion Papers 124, C.E.P.R. Discussion Papers.
    18. repec:cup:macdyn:v:6:y:2002:i:1:p:40-84 is not listed on IDEAS
    19. Fuhrer, Jeffrey C. & Rudebusch, Glenn D., 2004. "Estimating the Euler equation for output," Journal of Monetary Economics, Elsevier, vol. 51(6), pages 1133-1153, September.
    20. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Permanent Income and Pricing," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 3, pages 33-81, World Scientific Publishing Co. Pte. Ltd..
    21. Levine, Paul & Currie, David, 1985. "Optimal feedback rules in an open economy macromodel with rational expectations," European Economic Review, Elsevier, vol. 27(2), pages 141-163, March.
    22. Binder,M. & Pesaran,H.M., 1995. "Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results," Cambridge Working Papers in Economics 9415, Faculty of Economics, University of Cambridge.
    23. Rudebusch, Glenn D., 2002. "Term structure evidence on interest rate smoothing and monetary policy inertia," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1161-1187, September.
    24. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    25. Hansen, Lars Peter & Sargent, Thomas J., 2003. "Robust control of forward-looking models," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 581-604, April.
    26. Gilles Oudiz & Jeffrey Sachs, 1985. "International Policy Coordination in Dynamic Macroeconomic Models," NBER Chapters, in: International Economic Policy Coordination, pages 274-330, National Bureau of Economic Research, Inc.
    27. Frank Smets & Raf Wouters, 2003. "An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1123-1175, September.
    28. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    Full references (including those not matched with items on IDEAS)

    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. Adam Altar-Samuel, 2008. "Robust Monetary Policy," Advances in Economic and Financial Research - DOFIN Working Paper Series 21, Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB.
    2. Michael Paetz, 2007. "Robust Control and Persistence in the New Keynesian Economy," Quantitative Macroeconomics Working Papers 20711, Hamburg University, Department of Economics.
    3. Richard Dennis, 2007. "Model uncertainty and monetary policy," Working Paper Series 2007-09, Federal Reserve Bank of San Francisco.
    4. Olalla, Myriam García & Gómez, Alejandro Ruiz, 2011. "Robust control and central banking behaviour," Economic Modelling, Elsevier, vol. 28(3), pages 1265-1278, May.
    5. Richard Dennis & Tatiana Kirsanova, 2010. "Expectations traps and coordination failures: selecting among multiple discretionary equilibria," Working Paper Series 2010-02, Federal Reserve Bank of San Francisco.
    6. Dennis, Richard, 2004. "Solving for optimal simple rules in rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(8), pages 1635-1660, June.
    7. Blake, Andrew P. & Zampolli, Fabrizio, 2011. "Optimal policy in Markov-switching rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1626-1651, October.
    8. Dennis, Richard, 2014. "Imperfect credibility and robust monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 218-234.
    9. Dennis, Richard, 2010. "How robustness can lower the cost of discretion," Journal of Monetary Economics, Elsevier, vol. 57(6), pages 653-667, September.
    10. Tatiana Kirsanova & Stephanus le Roux, 2013. "Commitment vs. Discretion in the UK: An Empirical Investigation of the Monetary and Fiscal Policy Regime," International Journal of Central Banking, International Journal of Central Banking, vol. 9(4), pages 99-152, December.
    11. Himmels, Christoph & Kirsanova, Tatiana, 2013. "Escaping expectation traps: How much commitment is required?," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 649-665.
    12. Moons, Cindy & Garretsen, Harry & van Aarle, Bas & Fornero, Jorge, 2007. "Monetary policy in the New-Keynesian model: An application to the Euro Area," Journal of Policy Modeling, Elsevier, vol. 29(6), pages 879-902.
    13. Dennis, Richard, 2007. "Optimal Policy In Rational Expectations Models: New Solution Algorithms," Macroeconomic Dynamics, Cambridge University Press, vol. 11(1), pages 31-55, February.
    14. Bai, Yuting & Kirsanova, Tatiana & Leith, Campbell, 2017. "Nominal targeting in an economy with government debt," European Economic Review, Elsevier, vol. 94(C), pages 103-125.
    15. Richard Dennis & Tatiana Kirsanova, 2013. "Expectations Traps and Coordination Failures with Discretionary Policymaking," ANU Working Papers in Economics and Econometrics 2013-611, Australian National University, College of Business and Economics, School of Economics.
    16. Andrew P. Blake & Tatiana Kirsanova, 2012. "Discretionary Policy and Multiple Equilibria in LQ RE Models," Review of Economic Studies, Oxford University Press, vol. 79(4), pages 1309-1339.
    17. Malin Adolfson & Stefan Las√Âen & Jesper Lind√ & Lars E.O. Svensson, 2011. "Optimal Monetary Policy in an Operational Medium-Sized DSGE Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(7), pages 1287-1331, October.
    18. Dennis, Richard, 2010. "When is discretion superior to timeless perspective policymaking?," Journal of Monetary Economics, Elsevier, vol. 57(3), pages 266-277, April.
    19. Jean-Bernard Chatelain & Kirsten Ralf, 2017. "Can We Identify the Fed's Preferences?," Working Papers halshs-01549908, HAL.
    20. Groll, Dominik & Monacelli, Tommaso, 2020. "The inherent benefit of monetary unions," Journal of Monetary Economics, Elsevier, vol. 111(C), pages 63-79.

    More about this item

    Keywords

    Robust control Misspecification Optimal policy;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

    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:eee:dyncon:v:33:y:2009:i:8:p:1604-1616. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://www.elsevier.com/locate/jedc .

    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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.