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The Rich Domain of Risk

Author

Listed:
  • Olivier Armantier

    (Federal Reserve Bank of New York, New York, New York 10045)

  • Nicolas Treich

    (Toulouse School of Economics (LERNA-INRA), 31000 Toulouse, France)

Abstract

We report on two experiments challenging the common assumption that events with objective probabilities constitute a unique source of uncertainty. We find that, similar to the domain of ambiguity, the domain of risk is rich in the sense that behavior is systematically different when subjects face risky bets based on simple or more complex events. Furthermore, we find a tight association between attitudes toward complex risky bets and attitudes toward both ambiguity and compound lotteries. These results raise questions about the characterization of ambiguity aversion and the modeling of decisions under uncertainty. This paper was accepted by James Smith, decision analysis .

Suggested Citation

  • Olivier Armantier & Nicolas Treich, 2016. "The Rich Domain of Risk," Management Science, INFORMS, vol. 62(7), pages 1954-1969, July.
  • Handle: RePEc:inm:ormnsc:v:62:y:2016:i:7:p:1954-1969
    DOI: 10.1287/mnsc.2015.2215
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    References listed on IDEAS

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    1. Mohammed Abdellaoui & Peter Klibanoff & Lætitia Placido, 2015. "Experiments on Compound Risk in Relation to Simple Risk and to Ambiguity," Management Science, INFORMS, vol. 61(6), pages 1306-1322, June.
    2. 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.
    3. 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.
    4. Chew, Soo Hong & Sagi, Jacob S., 2008. "Small worlds: Modeling attitudes toward sources of uncertainty," Journal of Economic Theory, Elsevier, vol. 139(1), pages 1-24, March.
    5. Segal, Uzi, 1987. "The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 175-202, February.
    6. Kyoungwon Seo, 2009. "Ambiguity and Second-Order Belief," Econometrica, Econometric Society, vol. 77(5), pages 1575-1605, September.
    7. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    8. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    9. Vernon L. Smith, 1969. "Measuring Nonmonetary Utilities in Uncertain Choices: The Ellsberg Urn," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 83(2), pages 324-329.
    10. 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.
    11. Douglas Gale & Hamid Sabourian, 2005. "Complexity and Competition," Econometrica, Econometric Society, vol. 73(3), pages 739-769, May.
    12. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    13. 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.
    14. Armantier, Olivier & Treich, Nicolas, 2013. "Eliciting beliefs: Proper scoring rules, incentives, stakes and hedging," European Economic Review, Elsevier, vol. 62(C), pages 17-40.
    15. Theo Offerman & Joep Sonnemans & Gijs Van De Kuilen & Peter P. Wakker, 2009. "A Truth Serum for Non-Bayesians: Correcting Proper Scoring Rules for Risk Attitudes ," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1461-1489.
    16. Pavlo R. Blavatskyy, "undated". "A Stochastic Expected Utility Theory," IEW - Working Papers 231, Institute for Empirical Research in Economics - University of Zurich.
    17. Craig R. Fox & Amos Tversky, 1995. "Ambiguity Aversion and Comparative Ignorance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 585-603.
    18. Ricardo J. Caballero & Alp Simsek, 2013. "Fire Sales in a Model of Complexity," Journal of Finance, American Finance Association, vol. 68(6), pages 2549-2587, December.
    19. Glenn Ellison & Sara Fisher Ellison, 2009. "Search, Obfuscation, and Price Elasticities on the Internet," Econometrica, Econometric Society, vol. 77(2), pages 427-452, March.
    20. Pavlo Blavatskyy, 2007. "Stochastic expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 259-286, June.
    21. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    22. Epstein, Larry G. & Halevy, Yoram, 2014. "No Two Experiments are Identical," Microeconomics.ca working papers yoram_halevy-2014-9, Vancouver School of Economics, revised 15 Feb 2017.
    23. Christopher A. Sims, 2006. "Rational Inattention: Beyond the Linear-Quadratic Case," American Economic Review, American Economic Association, vol. 96(2), pages 158-163, May.
    24. Andersen, Steffen & Fountain, John & Harrison, Glenn W. & Rutström, Elisabet E., 2009. "Estmating Aversion to Uncertainty," Working Papers 07-2009, Copenhagen Business School, Department of Economics.
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    Cited by:

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    3. Maren Baars & Michael Goedde‐Menke, 2022. "Ignorance illusion in decisions under risk: The impact of perceived expertise on probability weighting," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 35-62, March.
    4. Zhihua Li & Julia Müller & Peter P. Wakker & Tong V. Wang, 2018. "The Rich Domain of Ambiguity Explored," Management Science, INFORMS, vol. 64(7), pages 3227-3240, July.
    5. Milos Borozan & Loreta Cannito & Barbara Luppi, 2022. "A tale of two ambiguities: A conceptual overview of findings from economics and psychology," Journal of Behavioral Economics for Policy, Society for the Advancement of Behavioral Economics (SABE), vol. 6(S1), pages 11-21, July.
    6. Giulia Papini, 2023. "Majority Rule Determination and Uncertainty Aversion: A Critical Systematic Review," Journal of Behavioral Economics for Policy, Society for the Advancement of Behavioral Economics (SABE), vol. 7(1), pages 19-24, November.
    7. Wakker, Peter P., 2023. "A criticism of Bernheim & Sprenger's (2020) tests of rank dependence," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 107(C).
    8. Hajimoladarvish, Narges, 2018. "How do people reduce compound lotteries?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 75(C), pages 126-133.
    9. Rachel J. Huang & Arthur Snow & Larry Y. Tzeng, 2017. "Advantageous Selection in Insurance Markets with Compound Risk," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(2), pages 171-192, September.
    10. Hammitt, James K. & Herrera-Araujo, Daniel & Rheinberger, Christoph, 2016. "The Value of Cancer Prevention vs Treatment," TSE Working Papers 16-628, Toulouse School of Economics (TSE).
    11. Ilke Aydogan & Loïc Berger & Vincent Théroude, 2023. "More Ambiguous or More Complex? An Investigation of Individual Preferences under Uncertainty," Working Papers of BETA 2023-10, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
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    13. Oberholzer, Yvonne & Olschewski, Sebastian & Scheibehenne, Benjamin, 2024. "Complexity aversion in risky choices and valuations: Moderators and possible causes," Journal of Economic Psychology, Elsevier, vol. 100(C).
    14. Keyu Wu & Ernst Fehr & Sean Hofland & Martin Schonger, 2024. "On the Psychological Foundations of Ambiguity and Compound Risk Aversion," CESifo Working Paper Series 11150, CESifo.
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    16. Ilke AYDOGAN & Loïc BERGER & Vincent THEROUDE, 2023. "More Ambiguous or More Complex? An Investigation of Individual Preferences under Model Uncertainty," Working Papers 2023-iRisk-02, IESEG School of Management.

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