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The uncertainty triangle – Uncovering heterogeneity in attitudes towards uncertainty

Author

Listed:
  • Daniel R. Burghart

    (California State University Sacramento)

  • Thomas Epper

    (University of St. Gallen
    University of Zürich)

  • Ernst Fehr

    (University of Zürich)

Abstract

This paper develops a graphical tool – the uncertainty triangle – that allows for testing whether choices under uncertainty obey the generalized axiom of revealed preference (GARP). We find that more than 95% of subjects made choices that can be rationalized by the maximization of a well-behaved utility function. The uncertainty triangle also makes it straightforward to characterize heterogeneity in attitudes towards uncertainty. To accomplish this we propose a one-parameter extension of Expected Utility in which uncertainty attitude is everywhere constant in the triangle. Experimental data indicate that about 60% of participants made choices consistent with the model and, within this group, 48% were uncertainty averse, 22% uncertainty seeking, and 30% uncertainty neutral. The remaining 40% of participants appear to hold variable uncertainty attitudes. A model that can accommodate this variability is proposed and calibrated.

Suggested Citation

  • Daniel R. Burghart & Thomas Epper & Ernst Fehr, 2020. "The uncertainty triangle – Uncovering heterogeneity in attitudes towards uncertainty," Journal of Risk and Uncertainty, Springer, vol. 60(2), pages 125-156, April.
  • Handle: RePEc:kap:jrisku:v:60:y:2020:i:2:d:10.1007_s11166-020-09331-8
    DOI: 10.1007/s11166-020-09331-8
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    1. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    2. Daniel Houser & Michael Keane & Kevin McCabe, 2004. "Behavior in a Dynamic Decision Problem: An Analysis of Experimental Evidence Using a Bayesian Type Classification Algorithm," Econometrica, Econometric Society, vol. 72(3), pages 781-822, May.
    3. Mohammed Abdellaoui & Aurelien Baillon & Laetitia Placido & Peter P. Wakker, 2011. "The Rich Domain of Uncertainty: Source Functions and Their Experimental Implementation," American Economic Review, American Economic Association, vol. 101(2), pages 695-723, April.
    4. John D. Hey & Noemi Pace, 2018. "The explanatory and predictive power of non two-stage-probability theories of decision making under ambiguity," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 6, pages 139-167, World Scientific Publishing Co. Pte. Ltd..
    5. Helga Fehr-Duda & Thomas Epper, 2012. "Probability and Risk: Foundations and Economic Implications of Probability-Dependent Risk Preferences," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 567-593, July.
    6. Helga Fehr-Duda & Adrian Bruhin & Thomas Epper & Renate Schubert, 2010. "Rationality on the rise: Why relative risk aversion increases with stake size," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 147-180, April.
    7. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    8. John D. Hey & Gianna Lotito & Anna Maffioletti, 2018. "The descriptive and predictive adequacy of theories of decision making under uncertainty/ambiguity," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 8, pages 189-219, World Scientific Publishing Co. Pte. Ltd..
    9. Camerer, Colin & Weber, Martin, 1992. "Recent Developments in Modeling Preferences: Uncertainty and Ambiguity," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 325-370, October.
    10. Dale O. Stah, 2014. "Heterogeneity of Ambiguity Preferences," The Review of Economics and Statistics, MIT Press, vol. 96(4), pages 609-617, October.
    11. Timothy K. M. Beatty & Ian A. Crawford, 2011. "How Demanding Is the Revealed Preference Approach to Demand?," American Economic Review, American Economic Association, vol. 101(6), pages 2782-2795, October.
    12. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    13. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    14. David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2014. "Estimating ambiguity aversion in a portfolio choice experiment," Quantitative Economics, Econometric Society, vol. 5, pages 195-223, July.
    15. Marciano Siniscalchi, 2009. "Vector Expected Utility and Attitudes Toward Variation," Econometrica, Econometric Society, vol. 77(3), pages 801-855, May.
    16. Massimo Marinacci, 2002. "Probabilistic Sophistication and Multiple Priors," Econometrica, Econometric Society, vol. 70(2), pages 755-764, March.
    17. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    18. Faruk Gul & Wolfgang Pesendorfer, 2014. "Expected Uncertain Utility Theory," Econometrica, Econometric Society, vol. 82(1), pages 1-39, January.
    19. Daniel R. Burghart, 2020. "The two faces of independence: betweenness and homotheticity," Theory and Decision, Springer, vol. 88(4), pages 567-593, May.
    20. Amit Kothiyal & Vitalie Spinu & Peter Wakker, 2014. "An experimental test of prospect theory for predicting choice under ambiguity," Journal of Risk and Uncertainty, Springer, vol. 48(1), pages 1-17, February.
    21. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    22. Chew, Soo Hong, 1983. "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica, Econometric Society, vol. 51(4), pages 1065-1092, July.
    23. David S. Ahn, 2008. "Ambiguity Without a State Space," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 3-28.
    24. Aurélien Baillon & Zhenxing Huang & Asli Selim & Peter P. Wakker, 2018. "Measuring Ambiguity Attitudes for All (Natural) Events," Econometrica, Econometric Society, vol. 86(5), pages 1839-1858, September.
    25. Aurélien Baillon & Han Bleichrodt, 2015. "Testing Ambiguity Models through the Measurement of Probabilities for Gains and Losses," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 77-100, May.
    26. Fishburn, Peter C., 1983. "Transitive measurable utility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 293-317, December.
    27. Mark J. Machina, 2014. "Ambiguity Aversion with Three or More Outcomes," American Economic Review, American Economic Association, vol. 104(12), pages 3814-3840, December.
    28. 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.
    29. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    30. Baillon, Aurélien & Placido, Lætitia, 2019. "Testing constant absolute and relative ambiguity aversion," Journal of Economic Theory, Elsevier, vol. 181(C), pages 309-332.
    31. Adrian Bruhin & Helga Fehr-Duda & Thomas Epper, 2010. "Risk and Rationality: Uncovering Heterogeneity in Probability Distortion," Econometrica, Econometric Society, vol. 78(4), pages 1375-1412, July.
    32. Burghart, Daniel R., 2018. "Maximum probabilities, information, and choice under uncertainty," Economics Letters, Elsevier, vol. 167(C), pages 43-47.
    33. Wojciech Olszewski, 2007. "Preferences Over Sets of Lotteries -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 567-595.
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    3. Fehr Ernst & Epper Thomas & Senn Julien, 2020. "Social preferences and redistributive politics," ECON - Working Papers 339, Department of Economics - University of Zurich, revised Aug 2023.
    4. Hill, Brian, 2023. "Beyond uncertainty aversion," Games and Economic Behavior, Elsevier, vol. 141(C), pages 196-222.
    5. Brian Hill, 2023. "Beyond Uncertainty Aversion," Post-Print hal-02428398, HAL.

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