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Methods for Robust Control

  • Richard Dennis

    ()

    (Economic Research Federal Reserve Bank of San Francisco)

  • Kai Leitemo
  • Ulf Soderstrom

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 and Sargent, 2005, and Giordani and Soderlind, 2004). In this paper we show that the structural-form methods developed by Dennis (2005a) 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 a state-space form. Interestingly, state-space and structural-form methods do not necessarily return the same equilibria for robust control problems. We apply both state-space and structural solution methods to an empirical New Keynesian business cycle model and find that the differences between the methods are both qualitatively and quantitatively important. In particular, with the structural-form solution methods the specification errors generally involve changes to the conditional variances in addition to the conditional means of the shock processes

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Paper provided by Society for Economic Dynamics in its series 2006 Meeting Papers with number 493.

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Date of creation: 03 Dec 2006
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Handle: RePEc:red:sed006:493
Contact details of provider: Postal: Society for Economic Dynamics Christian Zimmermann Economic Research Federal Reserve Bank of St. Louis PO Box 442 St. Louis MO 63166-0442 USA
Fax: 1-314-444-8731
Web page: http://www.EconomicDynamics.org/society.htm
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  1. 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.
  2. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
  3. Giordani, Paolo & Söderlind, Paul, 2002. "Solution of Macromodels with Hansen-Sargent Robust Policies: Some Extensions," SSE/EFI Working Paper Series in Economics and Finance 499, Stockholm School of Economics, revised 15 May 2003.
  4. Lars Peter Hansen & Ellen R. McGrattan & Thomas J. Sargent, 1994. "Mechanics of forming and estimating dynamic linear economies," Staff Report 182, Federal Reserve Bank of Minneapolis.
  5. Engle, Robert F & Hendry, David F & Richard, Jean-Francois, 1983. "Exogeneity," Econometrica, Econometric Society, vol. 51(2), pages 277-304, March.
  6. 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.
  7. Richard Dennis, 2005. "Robust control with commitment: a modification to Hansen-Sargent," Working Paper Series 2005-20, Federal Reserve Bank of San Francisco.
  8. Glenn D. Rudebusch & Jeffrey C. Fuhrer, 2002. "Estimating the Euler equation for output," Working Paper Series 2002-12, Federal Reserve Bank of San Francisco.
  9. Leitemo, Kai & Söderström, Ulf, 2005. "Robust Monetary Policy in a Small Open Economy," CEPR Discussion Papers 5071, C.E.P.R. Discussion Papers.
  10. Kai Leitemo & Ulf Soderstrom, 2004. "Robust Monetary Policy in the New-Keynesian Framework," Working Papers 273, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  11. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  12. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 40-84, February.
  13. Lars Hansen & Thomas Sargent & Thomas Tallarini, . "Robust Permanent Income and Pricing," GSIA Working Papers 1997-51, Carnegie Mellon University, Tepper School of Business.
  14. Willem H. Buiter & Richard C. Marston, 1985. "International Economic Policy Coordination," NBER Books, National Bureau of Economic Research, Inc, number buit85-1.
  15. 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.
  16. Frank Smets & Raf Wouters, 2002. "An estimated dynamic stochastic general equilibrium model of the euro area," Working Paper Research 35, National Bank of Belgium.
  17. repec:cup:macdyn:v:6:y:2002:i:1:p:40-84 is not listed on IDEAS
  18. 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.
  19. Richard Dennis, 2001. "Optimal policy in rational-expectations models: new solution algorithms," Working Paper Series 2001-09, Federal Reserve Bank of San Francisco.
  20. 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.
  21. Andrew T. Levin & Alexei Onatski & John C. Williams & Noah Williams, 2005. "Monetary Policy Under Uncertainty in Micro-Founded Macroeconometric Models," NBER Working Papers 11523, National Bureau of Economic Research, Inc.
  22. 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.
  23. 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.
  24. Currie,David & Levine,Paul, 2009. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521104609.
  25. Evan W. Anderson & Lars Peter Hansen & Thomas J. Sargent, 2003. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 68-123, 03.
  26. 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.
  27. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  28. 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.
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