Quantum Decision Theory in Simple Risky Choices

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2016
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Wittwer, Amrei
Heinimann, Hans Rudolf
Yukalov, Vyacheslav I.
Sornette, Didier
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PloS one. 2016, 11(12), e0168045. eISSN 1932-6203. Available under: doi: 10.1371/journal.pone.0168045
Zusammenfassung

Quantum decision theory (QDT) is a recently developed theory of decision making based on the mathematics of Hilbert spaces, a framework known in physics for its application to quantum mechanics. This framework formalizes the concept of uncertainty and other effects that are particularly manifest in cognitive processes, which makes it well suited for the study of decision making. QDT describes a decision maker's choice as a stochastic event occurring with a probability that is the sum of an objective utility factor and a subjective attraction factor. QDT offers a prediction for the average effect of subjectivity on decision makers, the quarter law. We examine individual and aggregated (group) data, and find that the results are in good agreement with the quarter law at the level of groups. At the individual level, it appears that the quarter law could be refined in order to reflect individual characteristics. This article revisits the formalism of QDT along a concrete example and offers a practical guide to researchers who are interested in applying QDT to a dataset of binary lotteries in the domain of gains.

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ISO 690FAVRE, Maroussia, Amrei WITTWER, Hans Rudolf HEINIMANN, Vyacheslav I. YUKALOV, Didier SORNETTE, 2016. Quantum Decision Theory in Simple Risky Choices. In: PloS one. 2016, 11(12), e0168045. eISSN 1932-6203. Available under: doi: 10.1371/journal.pone.0168045
BibTex
@article{Favre2016Quant-44705,
  year={2016},
  doi={10.1371/journal.pone.0168045},
  title={Quantum Decision Theory in Simple Risky Choices},
  number={12},
  volume={11},
  journal={PloS one},
  author={Favre, Maroussia and Wittwer, Amrei and Heinimann, Hans Rudolf and Yukalov, Vyacheslav I. and Sornette, Didier},
  note={Article Number: e0168045}
}
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