IDEAS home Printed from https://ideas.repec.org/p/awi/wpaper/0637.html
   My bibliography  Save this paper

Decision Theory with a Hilbert Space as Possibility Space

Author

Listed:
  • Eichberger, Jürgen
  • Pirner, Hans Jürgen

Abstract

In this paper, we propose an interpretation of the Hilbert space method used in quantum theory in the context of decision making under uncertainty. For a clear comparison we will stay as close as possible to the framework of SEU suggested by Savage (1954). We will use the Ellsberg (1961) paradox to illustrate the potential of our approach to deal with well-known paradoxa of decision theory.

Suggested Citation

  • Eichberger, Jürgen & Pirner, Hans Jürgen, 2017. "Decision Theory with a Hilbert Space as Possibility Space," Working Papers 0637, University of Heidelberg, Department of Economics.
    • Handle: RePEc:awi:wpaper:0637
    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-233885
    File Function: Frontdoor page on HeiDOK
    Download Restriction: no
    File URL: http://archiv.ub.uni-heidelberg.de/volltextserver/23388/1/dp637.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Diederik Aerts & Sandro Sozzo, 2011. "Contextual Risk and Its Relevance in Economics," Papers 1105.1812, arXiv.org.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Decision theory; uncertainty; Ellsberg paradox; quantum theory; Hilbert space; possibility space;

    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:awi:wpaper:0637. 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: (Gabi Rauscher) The email address of this maintainer does not seem to be valid anymore. Please ask Gabi Rauscher to update the entry or send us the correct email address. General contact details of provider: http://edirc.repec.org/data/awheide.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.