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Calibration Results for Non-Expected Utility Theories

Author

Listed:
  • Zvi Safra

    (Tel Aviv University)

  • Uzi Segal

    () (Boston College)

Abstract

Rabin proved that a low level of risk aversion with respect to small gambles leads to a high, and absurd, level of risk aversion with respect to large gambles. Rabin’s arguments strongly depend on expected utility theory, but we show that similar arguments apply to general non-expected utility theories.

Suggested Citation

  • Zvi Safra & Uzi Segal, 2008. "Calibration Results for Non-Expected Utility Theories," Boston College Working Papers in Economics 682, Boston College Department of Economics.
  • Handle: RePEc:boc:bocoec:682
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    References listed on IDEAS

    as
    1. Chew, S H & Epstein, Larry G & Segal, U, 1991. "Mixture Symmetry and Quadratic Utility," Econometrica, Econometric Society, vol. 59(1), pages 139-163, January.
    2. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    3. Uzi Segal & Avia Spivak, 1996. "First-order risk aversion and non-differentiability (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 179-183.
    4. Karni, Edi & Safra, Zvi, 1990. "Rank-Dependent Probabilities," Economic Journal, Royal Economic Society, vol. 100(401), pages 487-495, June.
    5. Palacios-Huerta, Ignacio & Serrano, Roberto, 2006. "Rejecting small gambles under expected utility," Economics Letters, Elsevier, vol. 91(2), pages 250-259, May.
    6. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    7. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    8. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June.
    9. Zvi Safra & Uzi Segal, 2005. "Are Universal Preferences Possible? Calibration Results for Non-Expected Utility Theories," Boston College Working Papers in Economics 633, Boston College Department of Economics.
    10. Battalio, Raymond C & Kagel, John H & Jiranyakul, Komain, 1990. "Testing between Alternative Models of Choice under Uncertainty: Some Initial Results," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 25-50, March.
    11. Dekel, Eddie, 1986. "An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom," Journal of Economic Theory, Elsevier, vol. 40(2), pages 304-318, December.
    12. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
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    Citations

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    Cited by:

    1. Freeman, David, 2015. "Calibration without reduction for non-expected utility," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 21-32.
    2. David Dillenberger, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," PIER Working Paper Archive 08-036, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    3. Nicolas de Roos & Yianis Sarafidis, 2010. "Decision making under risk in Deal or No Deal," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(6), pages 987-1027.
    4. Sergio Sousa, 2010. "Small-scale changes in wealth and attitudes toward risk," Discussion Papers 2010-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    5. Zvi Safra & Uzi Segal, 2008. "Calibration Results for Betweenness Functionals," Boston College Working Papers in Economics 683, Boston College Department of Economics.
    6. Takashi Kamihigashi & John Stachurski, 2014. "Partial Stochastic Dominance," Discussion Paper Series DP2014-23, Research Institute for Economics & Business Administration, Kobe University.
    7. Matthew Rabin & Georg Weizsacker, 2009. "Narrow Bracketing and Dominated Choices," American Economic Review, American Economic Association, vol. 99(4), pages 1508-1543, September.
    8. V. I. Yukalov & D. Sornette, 2012. "Quantum decision making by social agents," Papers 1202.4918, arXiv.org, revised Oct 2015.
    9. Michal Lewandowski, 2014. "Buying and selling price for risky lotteries and expected utility theory with gambling wealth," Journal of Risk and Uncertainty, Springer, vol. 48(3), pages 253-283, June.
    10. repec:eee:ecolet:v:160:y:2017:i:c:p:24-28 is not listed on IDEAS
    11. V. Yukalov & D. Sornette, 2011. "Decision theory with prospect interference and entanglement," Theory and Decision, Springer, vol. 70(3), pages 283-328, March.
    12. In Do Hwang, 2017. "Behavioral Aspects of Household Portfolio Choice: Effects of Loss Aversion on Life Insurance Uptake and Savings," Working Papers 2017-8, Economic Research Institute, Bank of Korea.
    13. Zvi Safra & Uzi Segal, 2009. "Risk aversion in the small and in the large: Calibration results for betweenness functionals," Journal of Risk and Uncertainty, Springer, vol. 38(1), pages 27-37, February.
    14. James Cox & Vjollca Sadiraj & Bodo Vogt & Utteeyo Dasgupta, 2013. "Is there a plausible theory for decision under risk? A dual calibration critique," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 305-333, October.
    15. Sergio Sousa, 2010. "Small-scale changes in wealth and attitudes toward risk," Discussion Papers 2010-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    16. repec:eee:matsoc:v:87:y:2017:i:c:p:72-74 is not listed on IDEAS
    17. Haug, Jørgen & Hens, Thorsten & Woehrmann, Peter, 2013. "Risk aversion in the large and in the small," Economics Letters, Elsevier, vol. 118(2), pages 310-313.
    18. Dillenberger, David, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," MPRA Paper 8342, University Library of Munich, Germany.

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    Keywords

    risk aversion; betweenness; calibration; non-expected utility theories;

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