IDEAS home Printed from https://ideas.repec.org/a/kap/jrisku/v57y2018i2d10.1007_s11166-018-9290-6.html
   My bibliography  Save this article

Ambiguity framed

Author

Listed:
  • Mark Schneider

    (Chapman University)

  • Jonathan W. Leland

    (National Science Foundation)

  • Nathaniel T. Wilcox

    (Chapman University)

Abstract

In his exposition of subjective expected utility theory, Savage (1954) proposed that the Allais paradox could be reduced if it were recast into a format which made the appeal of the independence axiom of expected utility theory more transparent. Recent studies consistently find support for this prediction. We consider a salience-based choice model which explains this frame-dependence of the Allais paradox. We then derive the novel prediction that the presentation format responsible for reductions in Allais-style violations of expected utility theory will also reduce Ellsberg-style violations of subjective expected utility theory. This format makes the appeal of Savage’s “sure thing principle” more transparent. We design an experiment to test this prediction and find strong support for such frame-dependence of ambiguity aversion in Ellsberg-style choices. In particular, we observe markedly less ambiguity-averse behavior in Savage’s matrix format than in a more standard “prospect” format. This finding poses a new challenge for the leading models of ambiguity aversion.

Suggested Citation

  • Mark Schneider & Jonathan W. Leland & Nathaniel T. Wilcox, 2018. "Ambiguity framed," Journal of Risk and Uncertainty, Springer, vol. 57(2), pages 133-151, October.
  • Handle: RePEc:kap:jrisku:v:57:y:2018:i:2:d:10.1007_s11166-018-9290-6
    DOI: 10.1007/s11166-018-9290-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11166-018-9290-6
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11166-018-9290-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    • Mark Schneider & Jonathan Leland & Nathaniel T. Wilcox, 2016. "Ambiguity Framed," Working Papers 16-11, Chapman University, Economic Science Institute.

    References listed on IDEAS

    as
    1. Grant, Simon & Polak, Ben, 2013. "Mean-dispersion preferences and constant absolute uncertainty aversion," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1361-1398.
    2. Alex Voorhoeve & Ken Binmore & Arnaldur Stefansson & Lisa Stewart, 2016. "Ambiguity attitudes, framing, and consistency," Theory and Decision, Springer, vol. 81(3), pages 313-337, September.
    3. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2012. "Salience Theory of Choice Under Risk," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1243-1285.
    4. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2013. "Salience and Consumer Choice," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 803-843.
    5. Michael H. Birnbaum & Ulrich Schmidt, 2015. "The Impact of Learning by Thought on Violations of Independence and Coalescing," Decision Analysis, INFORMS, vol. 12(3), pages 144-152.
    6. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    7. Marciano Siniscalchi, 2009. "Vector Expected Utility and Attitudes Toward Variation," Econometrica, Econometric Society, vol. 77(3), pages 801-855, May.
    8. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    9. Nathaniel T Wilcox, 2006. "Theories of Learning in Games and Heterogeneity Bias," Econometrica, Econometric Society, vol. 74(5), pages 1271-1292, September.
    10. Botond Koszegi & Adam Szeidl, 2013. "A Model of Focusing in Economic Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(1), pages 53-104.
    11. Grant, Simon & Kajii, Atsushi, 2007. "The epsilon-Gini-contamination multiple priors model admits a linear-mean-standard-deviation utility representation," Economics Letters, Elsevier, vol. 95(1), pages 39-47, April.
    12. Chew Soo Hong & Mark Ratchford & Jacob S. Sagi, 2018. "You Need to Recognise Ambiguity to Avoid It," Economic Journal, Royal Economic Society, vol. 128(614), pages 2480-2506, September.
    13. Jonathan W. Leland & Mark Schneider, 2016. "Salience, Framing, and Decisions under Risk, Uncertainty, and Time," Working Papers 16-08, Chapman University, Economic Science Institute.
    14. Conlisk, John, 1989. "Three Variants on the Allais Example," American Economic Review, American Economic Association, vol. 79(3), pages 392-407, June.
    15. Fan, Chinn-Ping, 2002. "Allais paradox in the small," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 411-421, November.
    16. Voorhoeve, Alex & Binmore, Ken G & Stefansson, Arnaldur & Stewart, Lisa, 2016. "Ambiguity attitudes, framing, and consistency," LSE Research Online Documents on Economics 65577, London School of Economics and Political Science, LSE Library.
    17. 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.
    18. Leland, Jonathan, 2010. "The hunt for a descriptive theory of choice under risk--A view from the road not taken," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 39(5), pages 568-577, October.
    19. Burke, Michael S & Carter, John R. & Gominiak, Robert D. & Ohl, Daniel F, 1996. "An Experimental Note on the Allais Paradox and Monetary Incentives," Empirical Economics, Springer, vol. 21(4), pages 617-632.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nathaniel T. Wilcox, 2017. "Random expected utility and certainty equivalents: mimicry of probability weighting functions," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 3(2), pages 161-173, December.
    2. Jonathan W. Leland & Mark Schneider & Nathaniel T. Wilcox, 2019. "Minimal Frames and Transparent Frames for Risk, Time, and Uncertainty," Management Science, INFORMS, vol. 65(9), pages 4318-4335, September.
    3. Jonathan W. Leland & Mark Schneider, 2016. "Salience, Framing, and Decisions under Risk, Uncertainty, and Time," Working Papers 16-08, Chapman University, Economic Science Institute.
    4. Florian H. Schneider & Martin Schonger, 2019. "An Experimental Test of the Anscombe–Aumann Monotonicity Axiom," Management Science, INFORMS, vol. 65(4), pages 1667-1677, April.
    5. Florian Schneider & Martin Schonger, 2015. "An experimental test of the Anscombe-Aumann Monotonicity axiom," ECON - Working Papers 207, Department of Economics - University of Zurich, revised May 2017.
    6. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    7. 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.
    8. Ghirardato, Paolo & Pennesi, Daniele, 2020. "A general theory of subjective mixtures," Journal of Economic Theory, Elsevier, vol. 188(C).
    9. Baillon, Aurélien & Placido, Lætitia, 2019. "Testing constant absolute and relative ambiguity aversion," Journal of Economic Theory, Elsevier, vol. 181(C), pages 309-332.
    10. Robin Cubitt & Gijs Kuilen & Sujoy Mukerji, 2018. "The strength of sensitivity to ambiguity," Theory and Decision, Springer, vol. 85(3), pages 275-302, October.
    11. Mark Schneider & Manuel Nunez, 2016. "Mean-Dispersion Preferences with a Specific Dispersion Function," Working Papers 16-10, Chapman University, Economic Science Institute.
    12. Kops, Christopher & Borah, Abhinash, 2014. "Preferences under Ambiguity Without Event-Separability," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100629, Verein für Socialpolitik / German Economic Association.
    13. Dominiak, Adam & Duersch, Peter, 2019. "Interactive Ellsberg tasks: An experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 161(C), pages 145-157.
    14. 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.
    15. Gumen, Anna & Savochkin, Andrei, 2013. "Dynamically stable preferences," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1487-1508.
    16. Nunez, Manuel & Schneider, Mark, 2019. "Mean-dispersion preferences with a specific dispersion function," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 195-206.
    17. Jonathan W. Leland & Mark Schneider & Jonathan Leland, 2016. "Axioms for Salience Perception," Working Papers 16-15, Chapman University, Economic Science Institute.
    18. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    19. Jewitt, Ian & Mukerji, Sujoy, 2017. "Ordering ambiguous acts," Journal of Economic Theory, Elsevier, vol. 171(C), pages 213-267.
    20. Jingyi Xue, 2020. "Preferences with changing ambiguity aversion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 1-60, February.

    More about this item

    Keywords

    Ellsberg paradox; Ambiguity aversion; Framing effects; Expected utility; Allais paradox; Salience theory; Independence axiom;
    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:jrisku:v:57:y:2018:i:2:d:10.1007_s11166-018-9290-6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.