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Decision Theory with a Hilbert Space as Possibility Space

2017/07/24 by Juergen Eichberger, Eichberger, Juergen, Hans Juergen Pirner +1
Physics and Astronomy · #Data Analysis #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Quantum Physics (quant-ph) #Statistics and Probability (physics.data-an) #physics.data-an #physics.soc-ph #quant-ph

paper · pdf · doi:10.48550/arxiv.1707.07556

arxiv created 2017/07/24 · arxiv updated 2017/07/25

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. We will use the Ellsberg-paradox to illustrate the potential of our approach to deal with well-known paradoxa of decision theory.

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