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Testing constant absolute and relative ambiguity aversion

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  • Baillon, Aurélien
  • Placido, Lætitia

Abstract

Recent applications have demonstrated the crucial role of decreasing absolute ambiguity aversion in financial and saving decisions. Yet, most ambiguity models predict that ambiguity aversion remains constant when individuals become better off overall. We propose the first tests of constant absolute and relative ambiguity aversion, using simple variations of the Ellsberg paradoxes. Our tests are axiomatically founded and grounded in the theoretical literature. We implemented these tests in an experiment. Our results call for the use of ambiguity models that can accommodate decreasing aversion toward ambiguity.

Suggested Citation

  • Baillon, Aurélien & Placido, Lætitia, 2019. "Testing constant absolute and relative ambiguity aversion," Journal of Economic Theory, Elsevier, vol. 181(C), pages 309-332.
  • Handle: RePEc:eee:jetheo:v:181:y:2019:i:c:p:309-332
    DOI: 10.1016/j.jet.2019.02.006
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    1. Chambers, Robert G. & Grant, Simon & Polak, Ben & Quiggin, John, 2014. "A two-parameter model of dispersion aversion," Journal of Economic Theory, Elsevier, vol. 150(C), pages 611-641.
    2. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    3. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
    4. Grant, Simon & Polak, Ben, 2013. "Mean-dispersion preferences and constant absolute uncertainty aversion," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1361-1398.
    5. 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.
    6. ,, 2016. "Objective rationality and uncertainty averse preferences," Theoretical Economics, Econometric Society, vol. 11(2), May.
    7. Stefan Trautmann & Peter P. Wakker, 2018. "Making the Anscombe-Aumann approach to ambiguity suitable for descriptive applications," Journal of Risk and Uncertainty, Springer, vol. 56(1), pages 83-116, February.
    8. Berger, Loïc, 2014. "Precautionary saving and the notion of ambiguity prudence," Economics Letters, Elsevier, vol. 123(2), pages 248-251.
    9. 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.
    10. 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.
    11. Chateauneuf, Alain & Faro, José Heleno, 2009. "Ambiguity through confidence functions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 535-558, September.
    12. 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.
    13. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    14. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    15. 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.
    16. Joseph Eisenhauer, 1997. "Risk aversion, wealth, and the DARA hypothesis: A new test," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 3(1), pages 46-53, February.
    17. Stephen G. Dimmock & Roy Kouwenberg & Peter P. Wakker, 2016. "Ambiguity Attitudes in a Large Representative Sample," Management Science, INFORMS, vol. 62(5), pages 1363-1380, May.
    18. Loïc Berger, 2016. "The impact of ambiguity and prudence on prevention decisions," Theory and Decision, Springer, vol. 80(3), pages 389-409, March.
    19. Olivier l'Haridon & Ferdinand M. Vieider, 2019. "All over the map: A worldwide comparison of risk preferences," Quantitative Economics, Econometric Society, vol. 10(1), pages 185-215, January.
    20. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    21. Webb, Craig S. & Zank, Horst, 2011. "Accounting for optimism and pessimism in expected utility," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 706-717.
    22. 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.
    23. Levy, Haim, 1994. "Absolute and Relative Risk Aversion: An Experimental Study," Journal of Risk and Uncertainty, Springer, vol. 8(3), pages 289-307, May.
    24. 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.
    25. 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.
    26. Guerdjikova, Ani & Sciubba, Emanuela, 2015. "Survival with ambiguity," Journal of Economic Theory, Elsevier, vol. 155(C), pages 50-94.
    27. Bade, Sophie, 2015. "Randomization devices and the elicitation of ambiguity-averse preferences," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 221-235.
    28. Loïc Berger, 2016. "The impact of ambiguity and prudence on prevention decisions," Post-Print hal-03027146, HAL.
    29. 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.
    30. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    31. Oechssler, Jörg & Roomets, Alex, 2014. "Unintended hedging in ambiguity experiments," Economics Letters, Elsevier, vol. 122(2), pages 243-246.
    32. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    33. Marciano Siniscalchi, 2009. "Vector Expected Utility and Attitudes Toward Variation," Econometrica, Econometric Society, vol. 77(3), pages 801-855, May.
    34. Cherbonnier, Frédéric & Gollier, Christian, 2015. "Decreasing aversion under ambiguity," Journal of Economic Theory, Elsevier, vol. 157(C), pages 606-623.
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    Cited by:

    1. Aurélien Baillon & Yoram Halevy & Chen Li, 2022. "Experimental elicitation of ambiguity attitude using the random incentive system," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 1002-1023, June.
    2. König-Kersting, Christian & Kops, Christopher & Trautmann, Stefan T., 2023. "A test of (weak) certainty independence," Journal of Economic Theory, Elsevier, vol. 209(C).
    3. Claudio A. Bonilla & Pablo A. Gutiérrez Cubillos, 2021. "The effects of ambiguity on entrepreneurship," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 30(1), pages 63-80, February.
    4. Keiran Sharpe, 2023. "On the Ellsberg and Machina paradoxes," Theory and Decision, Springer, vol. 95(4), pages 539-573, November.
    5. Marinacci Massimo & Principi Giulio & Stanca Lorenzo, 2023. "Recursive Preferences and Ambiguity Attitudes," Working papers 082, Department of Economics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    6. Berger, Loïc & Bosetti, Valentina, 2020. "Characterizing ambiguity attitudes using model uncertainty," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 621-637.
    7. Lotito Gianna & Maffioletti Anna & Santoni Michele, 2023. "Testing Source Influence on Ambiguity Reaction: Preference and Insensitivity," Working papers 083, Department of Economics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    8. Peter Klibanoff & Sujoy Mukerji & Kyoungwon Seo & Lorenzo Staca, 2021. "Foundations of ambiguity models under symmetry: α-MEU and smooth ambiguity," Working Papers 922, Queen Mary University of London, School of Economics and Finance.
    9. Yehuda Izhakian & David Yermack & Jaime F. Zender, 2022. "Ambiguity and the Tradeoff Theory of Capital Structure," Management Science, INFORMS, vol. 68(6), pages 4090-4111, June.
    10. Soheil Ghili & Peter Klibanoff, 2021. "If It Is Surely Better, Do It More? Implications for Preferences Under Ambiguity," Management Science, INFORMS, vol. 67(12), pages 7619-7636, December.
    11. 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.
    12. Klibanoff, Peter & Mukerji, Sujoy & Seo, Kyoungwon & Stanca, Lorenzo, 2022. "Foundations of ambiguity models under symmetry: α-MEU and smooth ambiguity," Journal of Economic Theory, Elsevier, vol. 199(C).
    13. Massimo Marinacci & Giulio Principi & Lorenzo Stanca, 2023. "Recursive Preferences and Ambiguity Attitudes," Carlo Alberto Notebooks 695 JEL Classification: C, Collegio Carlo Alberto.
    14. Tesselaar, Max & Botzen, W.J. Wouter & Robinson, Peter J. & Aerts, Jeroen C.J.H. & Zhou, Fujin, 2022. "Charity hazard and the flood insurance protection gap: An EU scale assessment under climate change," Ecological Economics, Elsevier, vol. 193(C).
    15. Ghirardato, Paolo & Pennesi, Daniele, 2020. "A general theory of subjective mixtures," Journal of Economic Theory, Elsevier, vol. 188(C).
    16. Li, Wenhui & Wilde, Christian, 2021. "Separating the effects of beliefs and attitudes on pricing under ambiguity," SAFE Working Paper Series 311, Leibniz Institute for Financial Research SAFE.
    17. Massimo Marinacci & Giulio Principi & Lorenzo Stanca, 2023. "Recursive Preferences and Ambiguity Attitudes," Papers 2304.06830, arXiv.org, revised Aug 2023.

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    More about this item

    Keywords

    Ambiguity aversion; Ellsberg; CARA; CRRA; Ambiguity models;
    All these keywords.

    JEL classification:

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

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