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Robust Control: A Note on the Response of the Control to Changes in the

Author

Listed:
  • Arnulfo Rodriguez
  • Fidel Gonzalez

Abstract

In this paper an analytical framework using robust control was developed for the one-state and 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 of the ``free" parameter in the criterion function of the min-max problem is negative. 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 one of a malevolent nature. For the benevolent case, we show that: (i) more uncertainty produces a more cautious response of the control variable, and(ii) the control variable response is concave down for an increasing shape and concave up for a decreasing shape.

Suggested Citation

  • 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.
    • Handle: RePEc:sce:scecf4:114
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    Citations

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    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. 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. 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.
    6. 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.
    7. 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.

    More about this item

    Keywords

    optimal control; approximating model; robustness;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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