IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v24y2004i3p223-238.html
   My bibliography  Save this article

Robust Control: A Note on the Response of the Control to Changes in the “Free” Parameter Conditional on the Character of Nature

Author

Listed:
  • Fidel Gonzalez
  • Arnulfo Rodriguez

Abstract

In this paper an analytical framework similar to a robust control problem was developed for the one-state, one-control variable model to examine the response of the control to changes in the “free” parameter. However, in contrast to Gonzalez and Rodriguez (2003), the sign multiplying the “free” parameter in the criterion function of the min–max problem is positive. We find that this set up corresponds to the case where nature is benevolent while the problem posed by Gonzalez and Rodriguez (2003) corresponds to a malevolent nature. We show that for the benevolent case, the solution is a minimum giving way to an ordinary control problem. In addition, the left side of the discontinuity in Gonzalez and Rodriguez (2003) corresponds to the benevolent case. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Fidel Gonzalez & Arnulfo Rodriguez, 2004. "Robust Control: A Note on the Response of the Control to Changes in the “Free” Parameter Conditional on the Character of Nature," Computational Economics, Springer;Society for Computational Economics, vol. 24(3), pages 223-238, March.
    • Handle: RePEc:kap:compec:v:24:y:2004:i:3:p:223-238
    DOI: 10.1007/s10614-004-4124-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10614-004-4124-9
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10614-004-4124-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Orphanides, Athanasios & Wieland, Volker, 2000. "Inflation zone targeting," European Economic Review, Elsevier, vol. 44(7), pages 1351-1387, June.
    2. Rustem, Berc, 1994. "Stochastic and robust control of nonlinear economic systems," European Journal of Operational Research, Elsevier, vol. 73(2), pages 304-318, March.
    3. Arnulfo Rodriguez & Fidel Gonzalez, 2004. "Robust Control: A Note on the Response of the Control to Changes in the," Computing in Economics and Finance 2004 114, Society for Computational Economics.
    4. Gonzalez, Fidel & Rodriguez, Arnulfo, 2005. "Robust control: A note on the response of the control to changes in the "free" parameter," Economics Letters, Elsevier, vol. 89(3), pages 294-299, December.
    5. 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..
    6. Hans M. Amman & David A. Kendrick, 1996. "The DUALI/DUALPC Software for Optimal Control Models: Introduction," CARE Working Papers 9602, The University of Texas at Austin, Center for Applied Research in Economics.
    7. J. Tetlow, Robert & von zur Muehlen, Peter, 2001. "Robust monetary policy with misspecified models: Does model uncertainty always call for attenuated policy?," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 911-949, June.
    8. Arnulfo Rodriguez & Fidel Gonzalez, 2003. "Robust Control: A Note on the Response of the Control to Changes in the Free Parameter," Computing in Economics and Finance 2003 207, Society for Computational Economics.
    9. 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.
    10. Mercado, P. Ruben & Kendrick, David A., 2000. "Caution in macroeconomic policy: uncertainty and the relative intensity of policy," Economics Letters, Elsevier, vol. 68(1), pages 37-41, July.
    11. Robert Tetlow & Peter von zur Muehlen, 2004. "Avoiding Nash Inflation: Bayesian and Robus Responses to Model Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(4), pages 869-899, October.
    12. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1.
    13. Becker, R. & Hall, S. & Rustem, B., 1994. "Robust optimal decisions with stochastic nonlinear economic systems," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 125-147, January.
    14. Lars Peter Hansen & Thomas J. Sargent, 2001. "Acknowledging Misspecification in Macroeconomic Theory," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 519-535, July.
    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. Fidel Gonzalez, 2008. "Optimal Policy Response with Control Parameter and Intercept Covariance," Computational Economics, Springer;Society for Computational Economics, vol. 31(1), pages 1-20, February.
    2. Felipe Morandé & Mauricio Tejada, 2009. "Sources of Uncertainty in Conducting Monetary Policy in Chile," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 12, pages 451-509, Central Bank of Chile.
    3. Fidel Gonzalez & Arnulfo Rodriguez, 2013. "Monetary Policy Under Time-Varying Uncertainty Aversion," Computational Economics, Springer;Society for Computational Economics, vol. 41(1), pages 125-150, January.
    4. P. Mercado & David Kendrick, 2006. "Parameter Uncertainty and Policy Intensity: Some Extensions and Suggestions for Further Work," Computational Economics, Springer;Society for Computational Economics, vol. 27(4), pages 483-496, June.
    5. Gonzalez, Fidel & Rodriguez, Arnulfo, 2005. "Robust control: A note on the response of the control to changes in the "free" parameter," Economics Letters, Elsevier, vol. 89(3), pages 294-299, December.
    6. Felipe Morandé & Mauricio Tejada, 2008. "Sources of Uncertainty for Conducting Monetary Policy in Chile," Working Papers Central Bank of Chile 492, Central Bank of Chile.

    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. Arnulfo Rodriguez, 2004. "Robust Control: A Note on the Timing of Model Uncertainty," Computing in Economics and Finance 2004 147, Society for Computational Economics.
    2. Olalla, Myriam García & Gómez, Alejandro Ruiz, 2011. "Robust control and central banking behaviour," Economic Modelling, Elsevier, vol. 28(3), pages 1265-1278, May.
    3. Arnulfo Rodriguez, 2004. "Robust Control: A Note on the Timing of Model Uncertainty," Computational Economics, Springer;Society for Computational Economics, vol. 24(3), pages 209-221, July.
    4. Rodríguez Arnulfo & González Fidel & González García Jesús R., 2007. "Uncertainty about the Persistence of Cost-Push Shocks and the Optimal Reaction of the Monetary Authority," Working Papers 2007-05, Banco de México.
    5. Stan Žaković & Volker Wieland & Berc Rustem, 2007. "Stochastic Optimization and Worst-Case Analysis in Monetary Policy Design," Computational Economics, Springer;Society for Computational Economics, vol. 30(4), pages 329-347, November.
    6. Gonzalez F. & Rodriguez A. & Gonzalez-Garcia J.R., 2005. "Uncertainty about the Persistence of Periods with Large Price Shocks and the Optimal Reaction of the Monetary Authority," Computing in Economics and Finance 2005 402, Society for Computational Economics.
    7. Richard Dennis, 2007. "Model uncertainty and monetary policy," Working Paper Series 2007-09, Federal Reserve Bank of San Francisco.
    8. P. Mercado & David Kendrick, 2006. "Parameter Uncertainty and Policy Intensity: Some Extensions and Suggestions for Further Work," Computational Economics, Springer;Society for Computational Economics, vol. 27(4), pages 483-496, June.
    9. Marco P. Tucci, 2021. "How Robust is Robust Control in Discrete Time?," Computational Economics, Springer;Society for Computational Economics, vol. 58(2), pages 279-309, August.
    10. Dennis, Richard, 2010. "How robustness can lower the cost of discretion," Journal of Monetary Economics, Elsevier, vol. 57(6), pages 653-667, September.
    11. Marco Paolo Tucci, 2019. "The usual robust control framework in discrete time: Some interesting results," Department of Economics University of Siena 815, Department of Economics, University of Siena.
    12. Marco P. Tucci, 2009. "How Robust is Robust Control in the Time Domain?," Department of Economics University of Siena 569, Department of Economics, University of Siena.
    13. Felipe Morandé Lavín & Mauricio Tejada, 2008. "Sources of Uncertainty for Conducting Monetary Policy in Chile," Working Papers wp285, University of Chile, Department of Economics.
    14. Kilponen, Juha, 2004. "Robust expectations and uncertain models: a robust contol approach with application to the new Keynesian economy," Bank of Finland Research Discussion Papers 5/2004, Bank of Finland.
    15. Keith Kuester & Volker Wieland, 2010. "Insurance Policies for Monetary Policy in the Euro Area," Journal of the European Economic Association, MIT Press, vol. 8(4), pages 872-912, June.
    16. Martin Ellison & Thomas J. Sargent, 2012. "A Defense Of The Fomc," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(4), pages 1047-1065, November.
    17. 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.
    18. Zampolli, Fabrizio, 2006. "Optimal monetary policy in a regime-switching economy: The response to abrupt shifts in exchange rate dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1527-1567.
    19. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414, National Bureau of Economic Research, Inc.
    20. Kendrick, David A., 2005. "Stochastic control for economic models: past, present and the paths ahead," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 3-30, January.

    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:kap:compec:v:24:y:2004:i:3:p:223-238. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.