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Ellsberg paradox: Ambiguity and complexity aversions compared

Author

Listed:
  • Jaromír Kovářík

    (University of the Basque Country
    Charles University in Prague and the Economics Institute of the Czech Academy of Sciences)

  • Dan Levin

    (The Ohio State University)

  • Tao Wang

    (Swarthmore College)

Abstract

We present a simple model where preferences with complexity aversion, rather than ambiguity aversion, resolve the Ellsberg paradox. We test our theory using laboratory experiments where subjects choose among lotteries that “range” from a simple risky lottery, through risky but more complex lotteries, to one similar to Ellsberg’s ambiguity urn. Our model ranks lotteries according to their complexity and makes different—at times contrasting—predictions than most models of ambiguity in response to manipulations of prizes. The results support that complexity aversion preferences play an important and separate role from beliefs with ambiguity aversion in explaining behavior under uncertainty.

Suggested Citation

  • Jaromír Kovářík & Dan Levin & Tao Wang, 2016. "Ellsberg paradox: Ambiguity and complexity aversions compared," Journal of Risk and Uncertainty, Springer, vol. 52(1), pages 47-64, February.
  • Handle: RePEc:kap:jrisku:v:52:y:2016:i:1:d:10.1007_s11166-016-9232-0
    DOI: 10.1007/s11166-016-9232-0
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    References listed on IDEAS

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    1. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-377, March.
    2. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064.
    3. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105.
    4. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    5. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    6. 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.
    7. 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.
    8. Simon Grant & Ben Polak & Tomasz Strzalecki, "undated". "Second-Order Expected Utility," Working Paper 8340, Harvard University OpenScholar.
    9. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    10. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    11. 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.
    12. 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.
    13. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    14. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057.
    15. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165.
    16. 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.
    17. Ergin, Haluk & Gul, Faruk, 2009. "A theory of subjective compound lotteries," Journal of Economic Theory, Elsevier, vol. 144(3), pages 899-929, May.
    18. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314.
    19. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040.
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    Citations

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    Cited by:

    1. Ilke AYDOGAN & Loïc BERGER & Valentina BOSETTI, 2023. "Unraveling Ambiguity Aversion," Working Papers 2023-iRisk-01, IESEG School of Management.
    2. Ilke Aydogan & Loïc Berger & Valentina Bosetti, 2023. "Unraveling Ambiguity Aversion," Post-Print hal-04370668, HAL.
    3. Ilke Aydogan & Loïc Berger & Valentina Bosetti, 2023. "Unraveling Ambiguity Aversion," Post-Print hal-04071242, HAL.
    4. Anna Conte & Werner Güth & Paul Pezanis-Christou, 2023. "Strategic ambiguity and risk in alternating pie-sharing experiments," Journal of Risk and Uncertainty, Springer, vol. 66(3), pages 233-260, June.
    5. 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.
    6. repec:hal:wpaper:hal-04071242 is not listed on IDEAS
    7. Ilke Aydogan & Loic Berger & Valentina Bosetti & Ning Liu, 2018. "Three layers of uncertainty: an experiment," Working Papers 623, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    8. Esponda, Ignacio & Vespa, Emanuel, 2023. "Contingent Thinking and the Sure-Thing Principle: Revisiting Classic Anomalies in the Laboratory#," University of California at San Diego, Economics Working Paper Series qt32j4d5z2, Department of Economics, UC San Diego.
    9. 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.
    10. Brañas-Garza, Pablo & Kovářík, Jaromír & Lopez-Martin, Maria del Carmen, 2020. "No moral wiggles in e5 and e1,000 dictator games under ambiguity," MPRA Paper 98132, University Library of Munich, Germany.
    11. Alex Berger & Agnieszka Tymula, 2022. "Controlling ambiguity: The illusion of control in choice under risk and ambiguity," Journal of Risk and Uncertainty, Springer, vol. 65(3), pages 261-284, December.

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    More about this item

    Keywords

    Ambiguity; Complexity; Compound risk; Ellsberg paradox; Risk; Uncertainty;
    All these keywords.

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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