Advanced Search
MyIDEAS: Login to save this paper or follow this series

Unanimity and the aggregation of multiple prior opinions

Contents:

Author Info

  • Hill, Brian

    ()
    (Hec Paris)

Abstract

Author's abstract. In a situation of decision under uncertainty, a decision maker wishes to choose according to the maxmin expected utility rule, and he can observe the preferences of a set of experts who all share his utility function and all use the maxmin EU rule. This paper considers rules for aggregating the experts’ sets of priors into a set that the decision maker can use. It is shown that, in a multi profile setting, among the rules that allow the decision maker’s evaluation of an act to depend only on the experts'evaluations of that act, the only rule satisfying the standard unanimity or Pareto condition on preferences is the “set of weights” aggregation rule, according to which the decision maker’s set of priors is the set of weighted averages of the priors in the experts’ sets, with the weights taken from a set  of probability vectors over the experts. An analogous characterisation is obtained for variational preferences.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.hec.fr/heccontent/download/4754/114894/version/2/file/CR_959_Hill_.pdf
Download Restriction: no

Bibliographic Info

Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 959.

as in new window
Length: 26 pages
Date of creation: 19 Jan 2012
Date of revision:
Handle: RePEc:ebg:heccah:0959

Contact details of provider:
Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
Web page: http://www.hec.fr/
More information through EDIRC

Related research

Keywords: aggregation of beliefs; opinion pooling; ambiguity; multiple priors; pareto condition; variational preferences;

Find related papers by JEL classification:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
  2. Thibault Gajdos & Jean-Christophe Vergnaud, 2009. "Decisions with conflicting and imprecise information," LSE Research Online Documents on Economics 27005, London School of Economics and Political Science, LSE Library.
  3. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
  4. Gilboa, I. & Samet, D. & Schmeidler, D., 2001. "Utilitarian Aggregation of Beliefs and Tastes," Papers 2001-17, Tel Aviv.
  5. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2004. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Carlo Alberto Notebooks 12, Collegio Carlo Alberto, revised 2006.
  6. repec:hal:cesptp:halshs-00266049 is not listed on IDEAS
  7. repec:hal:cesptp:hal-00443075 is not listed on IDEAS
  8. repec:hal:journl:halshs-00266049 is not listed on IDEAS
  9. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  10. Gajdos, T. & Tallon, J.-M. & Vergnaud, J.-C., 2008. "Representation and aggregation of preferences under uncertainty," Journal of Economic Theory, Elsevier, vol. 141(1), pages 68-99, July.
  11. Gilboa, Itzhak & Postlewaite, Andrew & Schmeidler, David, 2009. "Is It Always Rational To Satisfy Savage'S Axioms?," Economics and Philosophy, Cambridge University Press, vol. 25(03), pages 285-296, November.
  12. Hill, Brian, 2013. "Confidence and decision," Games and Economic Behavior, Elsevier, vol. 82(C), pages 675-692.
Full references (including those not matched with items on IDEAS)

Citations

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:ebg:heccah:0959. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sandra Dupouy).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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