IDEAS home Printed from https://ideas.repec.org/p/awi/wpaper/0572.html
   My bibliography  Save this paper

Informativeness of Experiments for MEU - A Recursive Definition

Author

Listed:
  • Heyen, Daniel
  • Wiesenfarth, Boris R.

Abstract

The well-known Blackwell's theorem states the equivalence of statistical informativeness and economic valuableness. Celen (2012) generalizes this theorem, which is well-known for subjective expected utility (SEU), to maxmin expected utility (MEU) preferences. We demonstrate that the underlying definition of the value of information used in Celen (2012) is in contradiction with the principle of recursively defined utility. As a consequence, Celen's framework features dynamic inconsistency. Our main contribution consists in the definition of a value of information for MEU preferences that is compatible with recursive utility and thus respects dynamic consistency.

Suggested Citation

  • Heyen, Daniel & Wiesenfarth, Boris R., 2014. "Informativeness of Experiments for MEU - A Recursive Definition," Working Papers 0572, University of Heidelberg, Department of Economics.
    • Handle: RePEc:awi:wpaper:0572
    Note: This paper is part of http://archiv.ub.uni-heidelberg.de/volltextserver/view/schriftenreihen/sr-3.html
    as

    Download full text from publisher

    File URL: http://nbn-resolving.de/urn/resolver.pl?urn=urn:nbn:de:bsz:16-heidok-175115
    File Function: Frontdoor page on HeiDOK
    Download Restriction: no
    File URL: https://archiv.ub.uni-heidelberg.de/volltextserver/17511/1/Heyen_Wiesenfarth_2014_dp572.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    2. Larry G. Epstein & Martin Schneider, 2007. "Learning Under Ambiguity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1275-1303.
    3. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    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. Heyen, Daniel, 2018. "Ambiguity aversion under maximum-likelihood updating," LSE Research Online Documents on Economics 80342, London School of Economics and Political Science, LSE Library.
    2. Hui Chen & Nengjiu Ju & Jianjun Miao, 2014. "Dynamic Asset Allocation with Ambiguous Return Predictability," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 799-823, October.
    3. Werner, Jan, 2022. "Speculative trade under ambiguity," Journal of Economic Theory, Elsevier, vol. 199(C).
    4. Larry G. Epstein & Martin Schneider, 2008. "Ambiguity, Information Quality, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 197-228, February.
    5. Lorenzo Garlappi & Raman Uppal & Tan Wang, 2007. "Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach," Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 41-81, January.
    6. Alexander Zimper, 2011. "Do Bayesians Learn Their Way Out of Ambiguity?," Decision Analysis, INFORMS, vol. 8(4), pages 269-285, December.
    7. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
    8. Große Steffen, Christoph, 2015. "Uncertainty shocks and non-fundamental debt crises: An ambiguity approach," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 112936, Verein für Socialpolitik / German Economic Association.
    9. Nengjiu Ju & Jianjun Miao, 2012. "Ambiguity, Learning, and Asset Returns," Econometrica, Econometric Society, vol. 80(2), pages 559-591, March.
    10. Farzad Pourbabaee, 2022. "Robust experimentation in the continuous time bandit problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 151-181, February.
    11. İhsan Yanıkoğlu & Dick den Hertog, 2013. "Safe Approximations of Ambiguous Chance Constraints Using Historical Data," INFORMS Journal on Computing, INFORMS, vol. 25(4), pages 666-681, November.
    12. Cheng, Xiaoyu, 2022. "Relative Maximum Likelihood updating of ambiguous beliefs," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    13. Claudio Campanale, 2011. "Learning, Ambiguity and Life-Cycle Portfolio Allocation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 339-367, April.
    14. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414, National Bureau of Economic Research, Inc.
    15. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
    16. Zimper, Alexander, 2009. "Half empty, half full and why we can agree to disagree forever," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 283-299, August.
    17. Larry G. Epstein & Shaolin Ji, 2022. "Optimal Learning Under Robustness and Time-Consistency," Operations Research, INFORMS, vol. 70(3), pages 1317-1329, May.
    18. Miao, Jianjun & Wang, Neng, 2011. "Risk, uncertainty, and option exercise," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 442-461, April.
    19. Hill, Brian, 2022. "Updating confidence in beliefs," Journal of Economic Theory, Elsevier, vol. 199(C).
    20. Bier, Monika & Engelage, Daniel, 2010. "Merging of Opinions under Uncertainty," Bonn Econ Discussion Papers 11/2010, University of Bonn, Bonn Graduate School of Economics (BGSE).

    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:awi:wpaper:0572. 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: Gabi Rauscher (email available below). General contact details of provider: https://edirc.repec.org/data/awheide.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.