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Robust Control: A Note on the Timing of Model Uncertainty

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  • Arnulfo Rodriguez

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Abstract

In this note a one-state, one-control variable quadratic linear problem with robust control and discount factor is developed to examine the optimal response of the first-period control to changes in future model uncertainty. A change in future model uncertainty has an effect on the optimal first-period control response going in the same direction as the one caused by an equal size change in current model uncertainty. However, both analytical and numerical results show that such effect is much lower than the one derived from a change in current model uncertainty. Moreover, such effect is even much lower as the change in model uncertainty moves farther away into the future. Finally, the infinite horizon result confirms the reinforcing nature of the effects on the optimal first-period control response of current and future changes in model uncertainty. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • 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.
  • Handle: RePEc:kap:compec:v:24:y:2004:i:3:p:209-221
    DOI: 10.1007/s10614-004-3695-9
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    File URL: http://hdl.handle.net/10.1007/s10614-004-3695-9
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    References listed on IDEAS

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    1. 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.
    2. P. Ruben Mercado, 2004. "The Timing of Uncertainty and the Intensity of Policy," Computational Economics, Springer;Society for Computational Economics, vol. 23(4), pages 303-313, June.
    3. 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.
    4. 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.
    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.
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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.

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