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Decision Theory with a Hilbert Space as Possibility Space


  • Eichberger, Jürgen
  • Pirner, Hans Jürgen


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.

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  • 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
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    References listed on IDEAS

    1. Diederik Aerts & Sandro Sozzo, 2011. "Contextual Risk and Its Relevance in Economics," Papers 1105.1812,
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    Decision theory; uncertainty; Ellsberg paradox; quantum theory; Hilbert space; possibility space;

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