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Certainty equivalence and model uncertainty

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Author Info
Lars Peter Hansen
Thomas J. Sargent

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Abstract

Simon’s and Theil’s certainty equivalence property justifies a convenient algorithm for solving dynamic programming problems with quadratic objectives and linear transition laws: first, optimize under perfect foresight, then substitute optimal forecasts for unknown future values. A similar decomposition into separate optimization and forecasting steps prevails when a decision maker wants a decision rule that is robust to model misspecification. Concerns about model misspecification leave the first step of the algorithm intact and affect only the second step of forecasting the future. The decision maker attains robustness by making forecasts with a distorted model that twists probabilities relative to his approximating model. The appropriate twisting emerges from a two-player zero-sum dynamic game.

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Article provided by Board of Governors of the Federal Reserve System (U.S.) in its journal Proceedings.

Volume (Year): (2005)
Issue (Month): ()
Pages: 17-38
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Handle: RePEc:fip:fedgpr:y:2005:p:17-38

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-81, September. [Downloadable!] (restricted)
  2. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April. [Downloadable!] (restricted)
  3. Hansen, Lars Peter & Sargent, Thomas J & Tallarini, Thomas D, Jr, 1999. "Robust Permanent Income and Pricing," Review of Economic Studies, Blackwell Publishing, vol. 66(4), pages 873-907, October. [Downloadable!] (restricted)
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  4. Lucas, Robert Jr, 1976. "Econometric policy evaluation: A critique," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 1(1), pages 19-46, January. [Downloadable!] (restricted)
  5. Weil, Philippe, 1993. "Precautionary Savings and the Permanent Income Hypothesis," Review of Economic Studies, Blackwell Publishing, vol. 60(2), pages 367-83, April. [Downloadable!] (restricted)
  6. 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. [Downloadable!]
  7. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Raghu Suryanarayanan, 2006. "Implications of Anticipated Regret and Endogenous Beliefs for Equilibrium Asset Prices: A Theoretical Framework," CSEF Working Papers 162, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy. [Downloadable!]
  2. William Brock & Steven Durlauf & Kenneth West, 2005. "Model uncertainty and policy evaluation: some theory and empirics," Proceedings, Federal Reserve Bank of San Francisco. [Downloadable!]
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  3. William T. Gavin & Benjamin D. Keen & Michael R. Pakko, 2007. "Inflation risk and optimal monetary policy," Working Papers 2006-035, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  4. Raghu Suryanarayanan, 2006. "A Model of Anticipated Regret and Endogenous Beliefs," CSEF Working Papers 161, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy. [Downloadable!]
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