Decision Theory with a Hilbert Space as Possibility Space
Quantum Physics
2017-07-25 v1 Data Analysis, Statistics and Probability
Physics and Society
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.
Cite
@article{arxiv.1707.07556,
title = {Decision Theory with a Hilbert Space as Possibility Space},
author = {Juergen Eichberger and Hans Juergen Pirner},
journal= {arXiv preprint arXiv:1707.07556},
year = {2017}
}