%0 Generic
%A Eichberger, Jürgen
%A Pirner, Hans Jürgen
%C Heidelberg
%D 2017
%F heidok:23388
%K Decision theory, uncertainty, Ellsberg paradox, quantum theory, Hilbert space, possibility space
%R 10.11588/heidok.00023388
%T Decision Theory with a Hilbert Space as Possibility Space
%U https://archiv.ub.uni-heidelberg.de/volltextserver/23388/
%V 0637
%X 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.