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Measuring the Subjective Value of Risky and Ambiguous Options using Experimental Economics and Functional MRI Methods
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Quantum Decision Theory in Simple Risky Choices.

Maroussia Favre1, Amrei Wittwer2, Hans Rudolf Heinimann3

  • 1ETH Zürich, Department of Management, Technology and Economics, Scheuchzerstrasse 7, 8092 Zürich, Switzerland.

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Quantum decision theory (QDT) uses quantum mechanics principles to model decision-making. Group data supports QDT's "quarter law" prediction, suggesting individual characteristics may refine this law.

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Area of Science:

  • Cognitive Science
  • Decision Theory
  • Quantum Mechanics Applications

Background:

  • Quantum decision theory (QDT) applies Hilbert space mathematics, common in quantum mechanics, to understand decision-making processes.
  • This framework effectively models uncertainty and cognitive effects relevant to choice behavior.
  • QDT posits decisions result from a probability combining objective utility and subjective attraction.

Purpose of the Study:

  • To examine the applicability of Quantum Decision Theory (QDT) to decision-making data.
  • To validate the "quarter law" prediction of QDT using empirical data.
  • To explore potential refinements of the quarter law for individual decision-making.

Main Methods:

  • Analysis of individual and aggregated (group) decision-making data.
  • Application of Quantum Decision Theory (QDT) formalism to a dataset of binary lotteries.
  • Comparison of empirical results with QDT's quarter law predictions.

Main Results:

  • Group-level data showed strong agreement with the quarter law predictions of QDT.
  • Individual-level data suggested that the quarter law might require refinement to account for personal characteristics.
  • The study provides a practical guide for applying QDT to binary lottery data.

Conclusions:

  • QDT provides a robust framework for understanding decision-making, particularly at the group level.
  • The quarter law is a valid predictor of average subjective effects in decision-making.
  • Further research is warranted to refine QDT for individual decision-making analysis.