title: Quantum probability and quantum decision-making.
abstract: A rigorous general definition of quantum probability is given, which is valid not only for elementary events but also for composite events, for operationally testable measurements as well as for inconclusive measurements, and also for non-commuting observables in addition to commutative observables. Our proposed definition of quantum probability makes it possible to describe quantum measurements and quantum decision-making on the same common mathematical footing. Conditions are formulated for the case when quantum decision theory reduces to its classical counterpart and for the situation where the use of quantum decision theory is necessary.
authors.affiliation: Department of Management, Technology and Economics, ETH Zürich, Swiss Federal Institute of Technology, Zürich 8032, Switzerland Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia yukalov@theor.jinr.ru.
authors.forename: V I
authors.initials: VI
authors.lastname: Yukalov
authors.affiliation: Department of Management, Technology and Economics, ETH Zürich, Swiss Federal Institute of Technology, Zürich 8032, Switzerland Swiss Finance Institute, c/o University of Geneva, 40 Boulevard Du Pont d'Arve, 1211 Geneva 4, Switzerland.
authors.forename: D
authors.initials: D
authors.lastname: Sornette
keywords: quantum decision-making; quantum measurements; quantum probability