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

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  • 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

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  • 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
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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. 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.

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