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Probabilistic sophistication and multiple priors

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Author Info
Massimo Marinacci ()

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Abstract

We show that under fairly mild conditions, a maximin expected utility preference relation is probabilistically sophisticated if and only if it is subjective expected utility.

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Publisher Info
Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 08-2001.

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Length: 18 pages
Date of creation: Jan 2001
Date of revision:
Handle: RePEc:icr:wpmath:08-2001

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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. & Le Breton Michel, 1993. "Dynamically Consistent Beliefs Must Be Bayesian," Journal of Economic Theory, Elsevier, vol. 61(1), pages 1-22, October. [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. Larry G. Epstein & Jiankang Zhang, 1999. "Subjective Probabilities on Subjectively Unambiguous Events," Carleton Economic Papers 99-18, Carleton University, Department of Economics. [Downloadable!]
    Other versions:
  4. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-80, July. [Downloadable!] (restricted)
    Other versions:
  5. Ghirardato, Paolo & Klibanoff, Peter & Marinacci, Massimo, 1998. "Additivity with multiple priors," Journal of Mathematical Economics, Elsevier, vol. 30(4), pages 405-420, November. [Downloadable!] (restricted)
  6. Massimo Marinacci & Fabio Maccheroni & Alain Chateauneuf & Jean-Marc Tallon, 2003. "Monotone Continuous Multiple Priors," ICER Working Papers - Applied Mathematics Series 30-2003, ICER - International Centre for Economic Research. [Downloadable!]
    Other versions:
  7. Larry Epstein, 1997. "Uncertainty Aversion," Working Papers epstein-97-01, University of Toronto, Department of Economics. [Downloadable!]
  8. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
  9. Grant, Simon, 1995. "Subjective Probability without Monotonicity: Or How Machina's Mom May Also Be Probabilistically Sophisticated," Econometrica, Econometric Society, vol. 63(1), pages 159-89, January. [Downloadable!] (restricted)
  10. Zengjing Chen & Larry G. Epstein, 2000. "Ambiguity, risk and asset returns in continuous time," RCER Working Papers 474, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
    Other versions:
  11. Casadesus-Masanell, Ramon & Klibanoff, Peter & Ozdenoren, Emre, 2000. "Maxmin Expected Utility over Savage Acts with a Set of Priors," Journal of Economic Theory, Elsevier, vol. 92(1), pages 35-65, May. [Downloadable!] (restricted)
  12. Ghirardato, Paolo & Marinacci, M., 1997. "Ambiguity Made Precise: A Comparative Foundation and Some Implications," Working Papers 1026, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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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. Fabio Maccheroni & William H. Ruckle, 2001. "BV as a dual space," ICER Working Papers - Applied Mathematics Series 29-2001, ICER - International Centre for Economic Research. [Downloadable!]
  2. Simon Grant & Atsushi Kajii, 2005. "Probabilistically Sophisticated Multiple Priors," KIER Working Papers 608, Kyoto University, Institute of Economic Research. [Downloadable!]
  3. Massimiliano Amarante, 2003. "Ambiguous Events," Discussion Papers 0304-04, Columbia University, Department of Economics. [Downloadable!]
  4. 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:
  5. Klaus Nehring, 2006. "Decision-Making in the Context of Imprecise Probabilistic Beliefs," Economics Working Papers 0034, Institute for Advanced Study, School of Social Science. [Downloadable!]
  6. Chambers, Christopher P., 2005. "Quantiles and medians," Working Papers 1222, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  7. Enrico Diecidue & Fabio Maccheroni, 2002. "Coherence without Additivity," ICER Working Papers - Applied Mathematics Series 10-2002, ICER - International Centre for Economic Research. [Downloadable!]
  8. Massimiliano Amarante & Fabio Maccheroni, 2004. "The Knob of the Discord," Discussion Papers 0405-14, Columbia University, Department of Economics. [Downloadable!]
  9. Sbuelz, A. & Trojani, F., 2002. "Equilibrium asset pricing with time-varying pessimism," Discussion Paper 102, Tilburg University, Center for Economic Research. [Downloadable!]
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