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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

  • Fidel Gonzalez

    ()

  • Arnulfo Rodriguez

    ()

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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Article provided by Society for Computational Economics in its journal Computational Economics.

Volume (Year): 24 (2004)
Issue (Month): 3 (March)
Pages: 223-238

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Handle: RePEc:kap:compec:v:24:y:2004:i:3:p:223-238
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  1. 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.
  2. 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.
  3. Robert J. Tetlow & Peter von zur Muehlen, 2002. "Avoiding Nash inflation: Bayesian and robust responses to model uncertainty," Finance and Economics Discussion Series 2002-9, Board of Governors of the Federal Reserve System (U.S.).
  4. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 40-84, February.
  5. 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.
  6. 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.
  7. Orphanides, Athanasios & Wieland, Volker, 2000. "Inflation zone targeting," European Economic Review, Elsevier, vol. 44(7), pages 1351-1387, June.
  8. Lars Hansen & Thomas Sargent & Thomas Tallarini, . "Robust Permanent Income and Pricing," GSIA Working Papers 1997-51, Carnegie Mellon University, Tepper School of Business.
  9. 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.
  10. 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.
  11. 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.
  12. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1, March.
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