naa a22 4500 510729010 CHVBK 20180411082945.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11403-012-0098-1 doi (NATIONALLICENCE)springer-10.1007/s11403-012-0098-1 Borie Dino GREDEG, CNRS, University of Nice Sophia-Antipolis, 250 rue Albert Einstein, 06560, Valbonne, France aut Expected utility theory with non-commutative probability theory [Elektronische Daten] [Dino Borie] In this paper, we extend von Neumann and Morgenstern's expected utility approach to a non-commutative probability theory. We introduce a new representation of the decision maker's set of events which extends the canonical representation. We reformulate von Neumann and Morgenstern's approach to modeling decision maker behavior by non-commutative probability theory. We introduce a set of preference axioms similar to von Neumann and Morgenstern's axioms, and show that they lead to a generalization of the expected utility theorem. Our generalization allows for decision makers to make an intuitive distinction between representations of a set of events. We find that this methodology enables several paradoxes and inconsistencies in traditional expected utility theory (e.g., Allais paradox, etc.) to be solved or better understood. Springer-Verlag, 2012 Expected utility nationallicence Decision theory nationallicence Non-expected utility nationallicence Quantum decision theory nationallicence Journal of Economic Interaction and Coordination Springer Berlin Heidelberg 8/2(2013-10-01), 295-315 1860-711X 8:2<295 2013 8 11403 https://doi.org/10.1007/s11403-012-0098-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11403-012-0098-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Borie Dino GREDEG, CNRS, University of Nice Sophia-Antipolis, 250 rue Albert Einstein, 06560, Valbonne, France aut NATIONALLICENCE 773 0- Journal of Economic Interaction and Coordination Springer Berlin Heidelberg 8/2(2013-10-01), 295-315 1860-711X 8:2<295 2013 8 11403 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer