# Bernoulli Without Bayes: A Theory of Utility-Sophisticated Preferences under Ambiguity

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## Suggested Citation

**Bernoulli Without Bayes: A Theory of Utility-Sophisticated Preferences under Ambiguity**," Economics Working Papers 0072, Institute for Advanced Study, School of Social Science.

*RePEc:ads:wpaper:0072*

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## References listed on IDEAS

- Siniscalchi, Marciano, 2006.
"
**A behavioral characterization of plausible priors**," Journal of Economic Theory, Elsevier, vol. 128(1), pages 91-135, May.- Marciano Siniscalchi, 2003.
"
**A Behavioral Characterization of Plausible Priors**," Discussion Papers 1365, Northwestern University, Center for Mathematical Studies in Economics and Management Science. - Marciano Siniscalchi, 2003.
"
**A Behavioral Characterization of Plausible Priors**," Levine's Bibliography 234936000000000064, UCLA Department of Economics.

- Marciano Siniscalchi, 2003.
"
- Hendon, Ebbe & Jacobsen, Hans Jorgen & Sloth, Birgitte & Tranaes, Torben, 1996.
"
**The product of capacities and belief functions**," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 95-108, October.- : Ebbe Hendon & Hans Jørgen Jacobsen & Birgitte Sloth & Torben Tranæs, 1993.
"
**The Product of Capacities and Belief Functions**," Discussion Papers 93-04, University of Copenhagen. Department of Economics.

- : Ebbe Hendon & Hans Jørgen Jacobsen & Birgitte Sloth & Torben Tranæs, 1993.
"
- Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005.
"
**A Smooth Model of Decision Making under Ambiguity**," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.- Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2002.
"
**A smooth model of decision making under ambiguity**," ICER Working Papers - Applied Mathematics Series 11-2003, ICER - International Centre for Economic Research, revised Apr 2003. - Sujoy Mukerji & Peter Klibanoff & Northwesern University Massimo Marinacci & Dip. di Satistic e Matematica Applicata & Universita di Torino and ICER, 2002.
"
**A Smooth Model of Decision,Making Under Ambiguity**," Economics Series Working Papers 113, University of Oxford, Department of Economics.

- Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2002.
"
- Ghirardato, Paolo & Marinacci, Massimo, 2002.
"
**Ambiguity Made Precise: A Comparative Foundation**," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February. - Eichberger, Jurgen & Kelsey, David, 1996.
"
**Uncertainty Aversion and Preference for Randomisation**," Journal of Economic Theory, Elsevier, vol. 71(1), pages 31-43, October.- Eichberger, J. & Kelsey, D., 1995.
"
**Uncertainty Aversion and Preferences for Randomisation**," Department of Economics - Working Papers Series 476, The University of Melbourne.

- Eichberger, J. & Kelsey, D., 1995.
"
- Epstein, Larry G & Zhang, Jiankang, 2001.
"
**Subjective Probabilities on Subjectively Unambiguous Events**," Econometrica, Econometric Society, vol. 69(2), pages 265-306, March.- Larry G. Epstein & Jiankang Zhang, 1999.
"
**Subjective Probabilities on Subjectively Unambiguous Events**," Carleton Economic Papers 99-18, Carleton University, Department of Economics.

- Larry G. Epstein & Jiankang Zhang, 1999.
"
- Sarin, Rakesh K & Wakker, Peter, 1992.
"
**A Simple Axiomatization of Nonadditive Expected Utility**," Econometrica, Econometric Society, vol. 60(6), pages 1255-1272, November.- Sarin, R. & Wakker, P.P., 1994.
"
**A simple axiomatization of nonadditive expected utility**," Other publications TiSEM 07a4969d-cceb-4239-b20d-5, Tilburg University, School of Economics and Management.

- Sarin, R. & Wakker, P.P., 1994.
"
- Paolo Ghirardato & Massimo Marinacci, 2001.
"
**Risk, Ambiguity, and the Separation of Utility and Beliefs**," Mathematics of Operations Research, INFORMS, vol. 26(4), pages 864-890, November.- Paolo Ghirardato & Massimo Marinacci, 2000.
"
**Risk, Ambiguity, and the Separation of Utility and Beliefs**," Levine's Working Paper Archive 7616, David K. Levine. - Massimo Marinacci & Paolo Ghirardato, 2001.
"
**Risk, ambiguity, and the separation of utility and beliefs**," ICER Working Papers - Applied Mathematics Series 21-2001, ICER - International Centre for Economic Research. - Ghirardato, Paolo & Marinacci, Massimo, 2000.
"
**Risk, Ambigity and the Separation of Utility and Beliefs**," Working Papers 1085, California Institute of Technology, Division of the Humanities and Social Sciences. - Paolo Ghirardato & Massimo Marinacci, 2000.
"
**Risk, Ambiguity and the Separation of Utility and Beliefs**," Econometric Society World Congress 2000 Contributed Papers 1143, Econometric Society.

- Paolo Ghirardato & Massimo Marinacci, 2000.
"
- Ghirardato, Paolo, 1997.
"
**On Independence for Non-Additive Measures, with a Fubini Theorem**," Journal of Economic Theory, Elsevier, vol. 73(2), pages 261-291, April.- Ghirardato, Paolo, 1995.
"
**On Independence For Non-Additive Measures, With a Fubini Theorem**," Working Papers 940, California Institute of Technology, Division of the Humanities and Social Sciences.

- Ghirardato, Paolo, 1995.
"
- 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. - Tversky, Amos & Kahneman, Daniel, 1992.
"
**Advances in Prospect Theory: Cumulative Representation of Uncertainty**," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October. - Karni, Edi, 1996.
"
**Probabilities and Beliefs**," Journal of Risk and Uncertainty, Springer, vol. 13(3), pages 249-262, November. - Gilboa, Itzhak, 1987.
"
**Expected utility with purely subjective non-additive probabilities**," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.- Gilboa, Itzhak, 1985.
"
**Expected Utility with Purely Subjective Non-Additive Probabilities**," Foerder Institute for Economic Research Working Papers 275389, Tel-Aviv University > Foerder Institute for Economic Research. - Itzhak Gilboa, 1987.
"
**Expected Utility with Purely Subjective Non-Additive Probabilities**," Post-Print hal-00756291, HAL.

- Gilboa, Itzhak, 1985.
"
- Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2005.
"
**Certainty Independence and the Separation of Utility and Beliefs**," Journal of Economic Theory, Elsevier, vol. 120(1), pages 129-136, January.- Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2002.
"
**Certainty Independence and the Separation of Utility and Beliefs**," ICER Working Papers - Applied Mathematics Series 40-2002, ICER - International Centre for Economic Research.

- Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2002.
"
- Schmeidler, David, 1989.
"
**Subjective Probability and Expected Utility without Additivity**," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.- David Schmeidler, 1989.
"
**Subjective Probability and Expected Utility without Additivity**," Levine's Working Paper Archive 7662, David K. Levine.

- David Schmeidler, 1989.
"
- Klaus Nehring, 2000.
"
**A Theory of Rational Choice under Ignorance**," Theory and Decision, Springer, vol. 48(3), pages 205-240, May. - Truman F. Bewley, 1986.
"
**Knightian Decision Theory: Part 1**," Cowles Foundation Discussion Papers 807, Cowles Foundation for Research in Economics, Yale University. - Mark Machina, 2004.
"
**Almost-objective uncertainty**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 1-54, July.- Machina, Mark J, 2001.
"
**Almost-Objective Uncertainty**," University of California at San Diego, Economics Working Paper Series qt3ps1k85f, Department of Economics, UC San Diego.

- Machina, Mark J, 2001.
"
- Nehring, Klaus, 1999.
"
**Capacities and probabilistic beliefs: a precarious coexistence**," Mathematical Social Sciences, Elsevier, vol. 38(2), pages 197-213, September.- Klaus Nehring, "undated".
"
**Capacities And Probabilistic Beliefs: A Precarious Coexistence**," Department of Economics 97-08, California Davis - Department of Economics.

- Klaus Nehring, "undated".
"
- Gilboa, Itzhak & Schmeidler, David, 1989.
"
**Maxmin expected utility with non-unique prior**," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.- Gilboa, Itzhak & Schmeidler, David, 1986.
"
**Maxmin Expected Utility with a Non-Unique Prior**," Foerder Institute for Economic Research Working Papers 275405, Tel-Aviv University > Foerder Institute for Economic Research. - Itzhak Gilboa & David Schmeidler, 1989.
"
**Maxmin Expected Utility with Non-Unique Prior**," Post-Print hal-00753237, HAL.

- Gilboa, Itzhak & Schmeidler, David, 1986.
"
- 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. - Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004.
"
**Differentiating ambiguity and ambiguity attitude**," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October. - Machina, Mark J & Schmeidler, David, 1992.
"
**A More Robust Definition of Subjective Probability**," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July. - Larry G. Epstein, 1999.
"
**A Definition of Uncertainty Aversion**," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 579-608. - Daniel Ellsberg, 1961.
"
**Risk, Ambiguity, and the Savage Axioms**," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.

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**Cited by:**

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"
**Rational Preferences under Ambiguity**," Carlo Alberto Notebooks 169, Collegio Carlo Alberto.

- Simone Cerreia-Vioglio & Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci & Marciano Siniscalchi, 2010.
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## More about this item

### Keywords

Expected Utility; Ambiguity; Probalistic Sophistication; Revealed Probabilistic Beliefs;All these keywords.

### JEL classification:

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

### NEP fields

This paper has been announced in the following NEP Reports:- NEP-CBE-2006-11-18 (Cognitive and Behavioural Economics)
- NEP-UPT-2006-11-18 (Utility Models and Prospect Theory)

### Statistics

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