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On the Relation between Robust and Bayesian Decision Making

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Abstract

This paper compares Bayesian decision theory with robust decision theory where the decision maker optimizes with respect to the worst state realization. For a class of robust decision problems there exists a sequence of Bayesian decision problems whose solution converges towards the robust solution. It is shown that the limiting Bayesian problem displays infinite risk aversion and that its solution is insensitive (robust) to the precise assignment of prior probabilities. Moreover, the limiting Bayesian objective turns out not to be time separable even if the objective function of the robust decision makers displays time separability.

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Paper provided by Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy in its series CSEF Working Papers with number 68.

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Date of creation: 01 Sep 2001
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Publication status: Published in Journal of Economic Dynamics and Control, 2004, vol. 28, pages 2105-2117
Handle: RePEc:sef:csefwp:68

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  1. Peter von zur Muehlen, 2001. "Activist vs. non-activist monetary policy: optimal rules under extreme uncertainty," Finance and Economics Discussion Series 2001-02, Board of Governors of the Federal Reserve System (U.S.).
  2. van der Ploeg, Frederick, 1993. "A Closed-Form Solution for a Model of Precautionary Saving," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 385-95, April.
  3. Lars Peter Hansen & Thomas J. Sargent & Thomas D. Tallarini Jr., 1997. "Robust Permanent Income and Pricing," Levine's Working Paper Archive 596, David K. Levine.
  4. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-94, March.
  5. 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.
  6. Alexei Onatski & James H. Stock, 1999. "Robust monetary policy under model uncertainty in a small model of the U.S. economy," Proceedings, Federal Reserve Bank of San Francisco.
  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.
  8. Alan S. Blinder, 1999. "Central Banking in Theory and Practice," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262522608, December.
  9. Alexei Onatski, 2000. "Minimax Analysis of Monetary Policy Under Model Uncertainty," Econometric Society World Congress 2000 Contributed Papers 1818, Econometric Society.
  10. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
  11. Gary Chamberlain, 2000. "Econometric applications of maxmin expected utility," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(6), pages 625-644.
  12. Duffie, Darrell & Epstein, Larry G, 1992. "Asset Pricing with Stochastic Differential Utility," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 411-36.
  13. Duffie, Darrel & Lions, Pierre-Louis, 1992. "PDE solutions of stochastic differential utility," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 577-606.
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Cited by:
  1. Keith Kuester & Volker Wieland, 2008. "Insurance Policies for Monetary Policy in the Euro Area," Discussion Papers 07-044, Stanford Institute for Economic Policy Research.
  2. Bigio, Saki, 2009. "Learning under Fear of Floating," Working Papers 2009-004, Banco Central de Reserva del Perú.
  3. Pauline Barrieu & Bernard Sinclair-Desgagné, 2009. "Economic Policy when Models Disagree," CIRANO Working Papers 2009s-03, CIRANO.
  4. Rama Cont, 2006. "Model uncertainty and its impact on the pricing of derivative instruments," Post-Print halshs-00002695, HAL.
  5. Q. Farooq Akram & Yakov Ben-Haim & Øyvind Eitrheim, 2006. "Managing uncertainty through robust-satisficing monetary policy," Working Paper 2006/10, Norges Bank.
  6. 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.).
  7. Renaud, J. & Thibault, J. & Lanouette, R. & Kiss, L.N. & Zaras, K. & Fonteix, C., 2007. "Comparison of two multicriteria decision aid methods: Net Flow and Rough Set Methods in a high yield pulping process," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1418-1432, March.

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