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Methods for Robust Control

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  • 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 and Sargent, 2006, and Giordani and Söderlind, 2004). In this paper we show that the structural-form methods developed by Dennis (2006) 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. Interestingly, because state-space forms and structural forms are not unique the two approaches 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.

Suggested Citation

  • Dennis, Richard & Leitemo, Kai & Söderström, Ulf, 2006. "Methods for Robust Control," CEPR Discussion Papers 5638, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:5638
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    Cited by:

    1. Baumann Robert & Svec Justin, 2016. "The Impact of Political Uncertainty: A Robust Control Approach," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 16(2), pages 837-863, April.
    2. Richard Dennis & Kai Leitemo & Ulf Soderstrom, 2006. "Monetary Policy in a Small Open Economy with a Preference for Robustness," Working Papers 316, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    3. Dennis, Richard, 2014. "Imperfect credibility and robust monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 218-234.
    4. Richard Dennis, 2007. "Model uncertainty and monetary policy," Working Paper Series 2007-09, Federal Reserve Bank of San Francisco.
    5. 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.
    6. David Hudgins & Joon Na, 2016. "Entering H $$^{\infty }$$ ∞ -Optimal Control Robustness into a Macroeconomic LQ-Tracking Model," Computational Economics, Springer;Society for Computational Economics, vol. 47(2), pages 121-155, February.
    7. Adam – Nelu ALTĂR – SAMUEL, 2008. "Robust Monetary Policy," Journal of Information Systems & Operations Management, Romanian-American University, vol. 2(2), pages 475-486, November.
    8. Qin, Li & Sidiropoulos, Moïse & Spyromitros, Eleftherios, 2013. "Robust monetary policy under model uncertainty and inflation persistence," Economic Modelling, Elsevier, vol. 30(C), pages 721-728.
    9. Chahrour, Ryan & Svec, Justin, 2014. "Optimal capital taxation and consumer uncertainty," Journal of Macroeconomics, Elsevier, vol. 41(C), pages 178-198.
    10. 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.
    11. Crowley, Patrick M. & Hudgins, David, 2015. "Fiscal policy tracking design in the time–frequency domain using wavelet analysis," Economic Modelling, Elsevier, vol. 51(C), pages 502-514.
    12. Levine, Paul & Pearlman, Joseph, 2010. "Robust monetary rules under unstructured model uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 456-471, March.
    13. Crowley, Patrick M. & Hudgins, David, 2015. "Euro area monetary and fiscal policy tracking design in the time-frequency domain," Research Discussion Papers 12/2015, Bank of Finland.
    14. Adam – Nelu Altăr-Samuel, 2008. "Robust Monetary Policy," Romanian Economic Business Review, Romanian-American University, vol. 3(2), pages 19-28, June.
    15. Dennis, Richard, 2010. "How robustness can lower the cost of discretion," Journal of Monetary Economics, Elsevier, vol. 57(6), pages 653-667, September.
    16. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
    17. Lioui, Abraham & Poncet, Patrice, 2012. "On model ambiguity and money neutrality," Journal of Macroeconomics, Elsevier, vol. 34(4), pages 1020-1033.
    18. Svec, Justin, 2012. "Optimal fiscal policy with robust control," Journal of Economic Dynamics and Control, Elsevier, vol. 36(3), pages 349-368.
    19. repec:bof:bofrdp:urn:nbn:fi:bof-201508131350 is not listed on IDEAS
    20. Jianjun Miao & Hyosung Kwon, 2013. "Woodford's Approach to Robust Policy Analysis in a Linear-Quadratic Framework," 2013 Meeting Papers 19, Society for Economic Dynamics.
    21. Li Qin & Moïse Sidiropoulos, 2016. "Robustness of Optimal Interest Rate Rules in an Open Economy," Bulletin of Applied Economics, Risk Market Journals, vol. 3(1), pages 29-46.
    22. repec:kap:compec:v:50:y:2017:i:3:d:10.1007_s10614-016-9601-4 is not listed on IDEAS

    More about this item

    Keywords

    misspecification; optimal policy; robust control;

    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

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