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Reference dependent ambiguity aversion: theory and experiment

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  • Qiu, Jianying
  • Weitzel, Utz

Abstract

In standard models of ambiguity, the evaluation of an ambiguous asset, as of a risky asset, is considered as an independent process. In this process only information directly pertaining to the ambiguous asset is used. These models face significant challenges from the finding that ambiguity aversion is more pronounced when an ambiguous asset is evaluated alongside a risky asset than in isolation. To explain this phenomenon, we developed a theoretical model based on reference dependence in probabilities. According to this model, individuals (1) form subjective beliefs on the potential winning probability of the ambiguous asset; (2) use the winning probability of the (simultaneously presented) risky asset as a reference point to evaluate the potential winning probabilities of the ambiguous asset; (3) code potential winning probabilities of the ambiguous asset that are greater than the reference point as gains and those that are smaller than the reference point as losses; (4) weight losses in probability heavier than gains in probability. We tested the crucial assumption, reference dependence in probabilities, in an experiment and found supporting evidence.

Suggested Citation

  • Qiu, Jianying & Weitzel, Utz, 2011. "Reference dependent ambiguity aversion: theory and experiment," MPRA Paper 35289, University Library of Munich, Germany, revised 08 Dec 2011.
  • Handle: RePEc:pra:mprapa:35289
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Jonathan E. Alevy, 2011. "Ambiguity in Individual Choice and Market Environments: On the Importance of Comparative Ignorance," Working Papers 2011-04, University of Alaska Anchorage, Department of Economics.
    4. Robert F. Nau, 2006. "Uncertainty Aversion with Second-Order Utilities and Probabilities," Management Science, INFORMS, vol. 52(1), pages 136-145, January.
    5. 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.
    6. 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..
    7. Fox, Craig R. & Weber, Martin, 2002. "Ambiguity Aversion, Comparative Ignorance, and Decision Context," Organizational Behavior and Human Decision Processes, Elsevier, vol. 88(1), pages 476-498, May.
    8. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    9. 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.
    10. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    11. Peter P. Wakker, 2000. "Uncertainty aversion: a discussion of critical issues in health economics," Health Economics, John Wiley & Sons, Ltd., vol. 9(3), pages 261-263, April.
    12. 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.
    13. Peter Bossaerts & Paolo Ghirardato & Serena Guarnaschelli & William R. Zame, 2010. "Ambiguity in Asset Markets: Theory and Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1325-1359, April.
    14. 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.
    15. Heath, Chip & Tversky, Amos, 1991. "Preference and Belief: Ambiguity and Competence in Choice under Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 4(1), pages 5-28, January.
    16. Clare Chua Chow & Rakesh Sarin, 2002. "Known, Unknown, and Unknowable Uncertainties," Theory and Decision, Springer, vol. 52(2), pages 127-138, March.
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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. repec:zbw:rwirep:0440 is not listed on IDEAS
    3. Ralf Bergheim & Michael W.M. Roos, 2013. "Intuition and Reasoning in Choosing Ambiguous and Risky Lotteries," Ruhr Economic Papers 0440, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    4. Bergheim, Ralf & Roos, Michael W. M., 2013. "Intuition and Reasoning in Choosing Ambiguous and Risky Lotteries," Ruhr Economic Papers 440, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.

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    More about this item

    Keywords

    Ambiguity Aversion; Reference Point; Comparison; Experiment;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • C9 - Mathematical and Quantitative Methods - - Design of Experiments

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