TY - GEN ID - heidok23388 KW - Decision theory KW - uncertainty KW - Ellsberg paradox KW - quantum theory KW - Hilbert space KW - possibility space TI - Decision Theory with a Hilbert Space as Possibility Space T3 - Discussion Paper Series Y1 - 2017/07/19/ AV - public CY - Heidelberg N2 - 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. UR - https://archiv.ub.uni-heidelberg.de/volltextserver/23388/ A1 - Eichberger, Jürgen A1 - Pirner, Hans Jürgen EP - 22 ER -