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Second-Order Expected Utility

Author

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  • Simon Grant
  • Ben Polak
  • Tomasz Strzalecki

Abstract

We present two axiomatizations of the Second-Order Expected Utility model in the context of the standard models of choice under uncertainty.

Suggested Citation

  • Simon Grant & Ben Polak & Tomasz Strzalecki, "undated". "Second-Order Expected Utility," Working Paper 8340, Harvard University OpenScholar.
  • Handle: RePEc:qsh:wpaper:8340
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    File URL: http://scholar.harvard.edu/tomasz/node/8340
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    References listed on IDEAS

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    1. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    2. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M. & Montrucchio, L., 2011. "Uncertainty averse preferences," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1275-1330, July.
    3. Sarin, Rakesh & Wakker, Peter P., 2000. "Cumulative dominance and probabilistic sophistication," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 191-196, September.
    4. Daniel Ellsberg, 2000. "Risk, Ambiguity and the Savage Axioms," Levine's Working Paper Archive 7605, David K. Levine.
    5. Simon Grant & Atsushi Kajii, 2005. "Probabilistically Sophisticated Multiple Priors," KIER Working Papers 608, Kyoto University, Institute of Economic Research.
    6. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    7. Grant, Simon, 1995. "Subjective Probability without Monotonicity: Or How Machina's Mom May Also Be Probabilistically Sophisticated," Econometrica, Econometric Society, vol. 63(1), pages 159-189, January.
    8. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    9. Massimo Marinacci, 2002. "Probabilistic Sophistication and Multiple Priors," Econometrica, Econometric Society, vol. 70(2), pages 755-764, March.
    10. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2012. "Probabilistic sophistication, second order stochastic dominance and uncertainty aversion," Journal of Mathematical Economics, Elsevier, pages 271-283.
    11. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
    12. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
    13. Chew Soo Hong & Jacob S. Sagi, 2006. "Event Exchangeability: Probabilistic Sophistication Without Continuity or Monotonicity," Econometrica, Econometric Society, vol. 74(3), pages 771-786, May.
    14. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
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    Citations

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    Cited by:

    1. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2012. "Probabilistic sophistication, second order stochastic dominance and uncertainty aversion," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 271-283.
    2. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2011. "Optimism and Pessimism with Expected Utility," Cowles Foundation Discussion Papers 1829, Cowles Foundation for Research in Economics, Yale University.
    3. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2011. "Optimism and Pessimism with Expected Utility, Third Version," PIER Working Paper Archive 13-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 26 Dec 2012.
    4. Nabil I. Al-Najjar & Luciano De Castro, 2010. "Observability and “Second-Order Acts"," Discussion Papers 1531, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Nabil I. Al-Najjar & Luciano De Castro, 2010. "Prediction Markets to Forecast Electricity Demand," Discussion Papers 1529, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2011. "Optimism and Pessimism with Expected Utility, Fourth Version," PIER Working Paper Archive 13-068, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Nov 2013.
    7. William Neilson, 2010. "A simplified axiomatic approach to ambiguity aversion," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 113-124, October.
    8. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2011. "Optimism and Pessimism with Expected Utility, Second Version," PIER Working Paper Archive 12-031, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 10 Aug 2012.

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