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On the relation between robust and Bayesian decision making

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  • Adam, Klaus

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 decisions are insensitive (robust) to the precise assignment of prior probabilities. This holds independent from whether the preference for robustness is global or restricted to local perturbations around some reference model.
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Suggested Citation

  • Adam, Klaus, 2004. "On the relation between robust and Bayesian decision making," Journal of Economic Dynamics and Control, Elsevier, vol. 28(10), pages 2105-2117, September.
  • Handle: RePEc:eee:dyncon:v:28:y:2004:i:10:p:2105-2117
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    References listed on IDEAS

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    Cited by:

    1. Keith Kuester & Volker Wieland, 2010. "Insurance Policies for Monetary Policy in the Euro Area," Journal of the European Economic Association, MIT Press, vol. 8(4), pages 872-912, June.
    2. Barrieu, Pauline & Desgagne, Bernard Sinclair, 2009. "Economic policy when models disagree," LSE Research Online Documents on Economics 37607, London School of Economics and Political Science, LSE Library.
    3. Robert Tetlow & Peter von zur Muehlen, 2004. "Avoiding Nash Inflation: Bayesian and Robus Responses to Model Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(4), pages 869-899, October.
    4. Bigio, Saki, 2010. "Learning under fear of floating," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 1923-1950, October.
    5. 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.
    6. Q. Farooq Akram & Yakov Ben-Haim & Øyvind Eitrheim, 2006. "Managing uncertainty through robust-satisficing monetary policy," Working Paper 2006/10, Norges Bank.
    7. Rama Cont, 2006. "Model uncertainty and its impact on the pricing of derivative instruments," Post-Print halshs-00002695, HAL.

    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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