Decision theory with a state of mind represented by an element of a Hilbert space: The Ellsberg paradox

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...

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Bibliographic Details
Main Authors: Eichberger, Jürgen (Author) , Pirner, Hans J. (Author)
Format: Article (Journal)
Language:English
Published: 23 February 2018
In: Journal of mathematical economics
Year: 2018, Volume: 78, Pages: 131-141
ISSN:0304-4068
DOI:10.1016/j.jmateco.2018.02.003
Online Access:Verlag, Volltext: https://doi.org/10.1016/j.jmateco.2018.02.003
Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0304406818300193
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Author Notes:Jürgen Eichberger, Hans Jürgen Pirner
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Summary: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 paradoxes of decision theory.
Item Description:Gesehen am 31.08.2019
Physical Description:Online Resource
ISSN:0304-4068
DOI:10.1016/j.jmateco.2018.02.003