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Dynamic Variational Preferences

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Author Info
Fabio Maccheroni
Massimo Marinacci
Aldo Rustichini

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Abstract

We introduce and axiomatize dynamic variational preferences, the dynamic version of the variational preferences we axiomatized in [21], which generalize the multiple priors preferences of Gilboa and Schmeidler [9], and include the Multiplier Preferences inspired by robust control and first used in macroeconomics by Hansen and Sargent (see [11]), as well as the classic Mean Variance Preferences of Markovitz and Tobin. We provide a condition that makes dynamic variational preferences time consistent, and their representation recursive. This gives them the analytical tractability needed in macroeconomic and financial applications. A corollary of our results is that Multiplier Preferences are time consistent, but Mean Variance Preferences are not.

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Publisher Info
Paper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 1.

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Length: 39 pages
Date of creation: 2006
Date of revision:
Publication status: Published in Journal of Economic Theory, 128, 4-44, 2006.
Handle: RePEc:cca:wpaper:1

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Related research
Keywords: Ambiguity Aversion; Model Uncertainty; Recursive Utility; Robust Control; Time Consistency;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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References listed on IDEAS
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. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March. [Downloadable!] (restricted)
  2. Kai Detlefsen & Giacomo Scandolo, 2005. "Conditional and Dynamic Convex Risk Measures," SFB 649 Discussion Papers SFB649DP2005-006, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  3. 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)
  4. Hansen, Lars Peter & Sargent, Thomas J. & Turmuhambetova, Gauhar & Williams, Noah, 2006. "Robust control and model misspecification," Journal of Economic Theory, Elsevier, vol. 128(1), pages 45-90, May. [Downloadable!] (restricted)
  5. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini & Marco Taboga, 2004. "Portfolio Selection with Monotone Mean-Variance Preferences," ICER Working Papers - Applied Mathematics Series 27-2004, ICER - International Centre for Economic Research, revised Dec 2004. [Downloadable!]
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  6. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2002. "Ambiguity from the Differential Viewpoint," Working Papers 1130, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  7. Sujoy Mukerji & Jean-Marc Tallon, 2001. "Ambiguity Aversion and Incompleteness of Financial Markets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00174539_v1, HAL. [Downloadable!]
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  8. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November. [Downloadable!] (restricted)
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  9. Lars Peter Hansen & Thomas J. Sargent, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May. [Downloadable!] (restricted)
  10. Hart, S. & Modica, S. & Schmeidler, D., 1990. "A Neo Bayesian Foundation Of The Maxmin Value For Two- Person Zero-Sum Games," Papers 38-90, Tel Aviv.
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Cited by:
(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. Guido, Cataife, 2007. "The pronouncements of paranoid politicians," MPRA Paper 4473, University Library of Munich, Germany. [Downloadable!]
  2. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2004. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Carlo Alberto Notebooks 12, Collegio Carlo Alberto, revised 2006. [Downloadable!]
    Other versions:
  3. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini & Marco Taboga, 2008. "Portfolio Selection with Monotone Mean-Variance Preferences," Temi di discussione (Economic working papers) 664, Bank of Italy, Economic Research Department. [Downloadable!]
    Other versions:
  4. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2006. "Recursive Smooth Ambiguity Preferences," Carlo Alberto Notebooks 17, Collegio Carlo Alberto, revised 2008. [Downloadable!]
  5. Gadi Barlevy, 2009. "Policymaking under uncertainty: Gradualism and robustness," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q II, pages 38-55. [Downloadable!]
  6. Sujoy Mukerji, 2009. "Foundations of ambiguity and economic modeling," Economics Series Working Papers 433, University of Oxford, Department of Economics. [Downloadable!]
  7. Lars Peter Hansen, 2007. "Beliefs, Doubts and Learning: Valuing Economic Risk," NBER Working Papers 12948, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  8. Jean-Philippe Lefort, 2006. "Comparison of experts in the non-additive case," Cahiers de la Maison des Sciences Economiques b06088, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  9. Elisa Luciano & Elena Vigna, 2006. "Non mean reverting affne processes for stochastic mortality," Carlo Alberto Notebooks 30, Collegio Carlo Alberto. [Downloadable!]
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