IDEAS home Printed from https://ideas.repec.org/p/nwu/cmsems/1468.html
   My bibliography  Save this paper

Updating Ambiguity Averse Preferences

Author

Listed:
  • Eran Hanany
  • Peter Klibanoff

Abstract

Dynamic consistency leads to Bayesian updating under expected utility. We ask what it implies for the updating of more general preferences. In this paper, we charac- terize dynamically consistent update rules for preference models satisfying ambiguity aversion. This characterization extends to regret-based models as well. As an appli- cation of our general result, we characterize dynamically consistent updating for two important models of ambiguity averse preferences: the ambiguity averse smooth am- biguity preferences (Klibanoff, Marinacci and Mukerji [Econometrica 73 2005, pp. 1849-1892]) and the variational preferences (Maccheroni, Marinacci and Rustichini [Econometrica 74 2006, pp. 1447-1498]). The latter includes max-min expected utility (Gilboa and Schmeidler [Journal of Mathematical Economics 18 1989, pp. 141-153]) and the multiplier preferences of Hansen and Sargent [American Economic Review 91(2) 2001, pp. 60-66] as special cases. For smooth ambiguity preferences, we also identify a simple rule that is shown to be the unique dynamically consistent rule among a large class of rules that may be expressed as reweightings of Bayes's rule.

Suggested Citation

  • Eran Hanany & Peter Klibanoff, 2008. "Updating Ambiguity Averse Preferences," Discussion Papers 1468, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1468
    as

    Download full text from publisher

    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1468.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. McClennen,Edward F., 1990. "Rationality and Dynamic Choice," Cambridge Books, Cambridge University Press, number 9780521360470, January.
    2. Simon Grant & Atsushi Kajii & Ben Polak, 2000. "Preference for Information and Dynamic Consistency," Theory and Decision, Springer, vol. 48(3), pages 263-286, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mukerji, Sujoy, 2009. "Foundations Of Ambiguity And Economic Modelling," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 297-302, November.
    2. Takashi Hayashi, 2011. "Context dependence and consistency in dynamic choice under uncertainty: the case of anticipated regret," Theory and Decision, Springer, vol. 70(4), pages 399-430, April.
    3. Takashi Hayashi, 2008. "Context dependence and consistency in dynamic choice under uncertainty: the case of anticipated regret," KIER Working Papers 659, Kyoto University, Institute of Economic Research.

    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. Hanany Eran & Klibanoff Peter, 2009. "Updating Ambiguity Averse Preferences," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-53, November.
    2. Marie-Edith Bissey & John Hey & Stefania Ottone, 2010. "Jekyll and Hyde," Applied Economics Letters, Taylor & Francis Journals, vol. 17(6), pages 555-559.
    3. Christian Koboldt, 1996. "Consistent planning, backwards induction, and rule-governed behavior," Constitutional Political Economy, Springer, vol. 7(1), pages 35-48, March.
    4. Simon Grant & Atsushi Kajii & Ben Polak, 2000. "Preference for Information and Dynamic Consistency," Theory and Decision, Springer, vol. 48(3), pages 263-286, May.
    5. Mongin, P., 1998. "Does Optimization Imply Rationality?," Papers 9817, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    6. Nathalie Etchart, 2002. "Adequate Moods for non-eu Decision Making in a Sequential Framework," Theory and Decision, Springer, vol. 52(1), pages 1-28, February.
    7. Volinskiy, Dmitriy & Bergstrom, John C. & Cornwell, Christopher M. & Holmes, Thomas P., 2010. "A Pseudo-Sequential Choice Model for Valuing Multi-Attribute Environmental Policies or Programs in Contingent Valuation Applications," Agricultural and Resource Economics Review, Cambridge University Press, vol. 39(1), pages 9-21, February.
    8. Alexander M. Jakobsen, 2021. "An Axiomatic Model of Persuasion," Econometrica, Econometric Society, vol. 89(5), pages 2081-2116, September.
    9. Michèle Cohen & Johanna Etner & Meglena Jeleva, 2008. "Dynamic Decision Making when Risk Perception Depends on Past Experience," Theory and Decision, Springer, vol. 64(2), pages 173-192, March.
    10. Larry G. Epstein & Emmanuel Farhi & Tomasz Strzalecki, 2014. "How Much Would You Pay to Resolve Long-Run Risk?," American Economic Review, American Economic Association, vol. 104(9), pages 2680-2697, September.
    11. Francesco Bogliacino & Laura Jiménez & Gianluca Grimalda, 2015. "Consultative, Democracy and Trust," Documentos de Trabajo, Escuela de Economía 12696, Universidad Nacional de Colombia, FCE, CID.
    12. Hagen Lindstädt, 2007. "Valuing Others’ Information under Imperfect Expectations," Theory and Decision, Springer, vol. 62(4), pages 335-353, May.
    13. Bales, Adam & Cohen, Daniel & Handfield, Toby, 2013. "Decision theory for agents with incomplete preferences," MPRA Paper 49954, University Library of Munich, Germany.
    14. Safra, Zvi & Segal, Uzi, 2024. "Large compound lotteries," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    15. Simon Grant & Atsushi Kajii & Ben Polak, 1996. "Preference for Information," Cowles Foundation Discussion Papers 1114, Cowles Foundation for Research in Economics, Yale University.
    16. George Ainslie, 2012. "Pure hyperbolic discount curves predict “eyes open” self-control," Theory and Decision, Springer, vol. 73(1), pages 3-34, July.
    17. Botond Kőszegi, 2010. "Utility from anticipation and personal equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 415-444, September.
    18. Hammond, Peter J & Zank, Horst, 2013. "Rationality and Dynamic Consistency under Risk and Uncertainty," The Warwick Economics Research Paper Series (TWERPS) 1033, University of Warwick, Department of Economics.
    19. Pan, Jinrui & Webb, Craig S. & Zank, Horst, 2015. "An extension of quasi-hyperbolic discounting to continuous time," Games and Economic Behavior, Elsevier, vol. 89(C), pages 43-55.
    20. Edward F. McClennen, 2004. "Prudence and Constitutional Rights," American Journal of Economics and Sociology, Wiley Blackwell, vol. 63(1), pages 213-256, January.

    More about this item

    Keywords

    Updating; Dynamic Consistency; Ambiguity; Regret; Ellsberg; Bayesian; Consequentialism; Smooth Ambiguity;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:nwu:cmsems:1468. 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: Fran Walker (email available below). General contact details of provider: https://edirc.repec.org/data/cmnwuus.html .

    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.