publication . Article . Other literature type . Preprint . Conference object . 2016

Quantum Decision Theory in Simple Risky Choices

Maroussia Favre; Amrei Wittwer; Hans Rudolf Heinimann; Vyacheslav I. Yukalov; Didier Sornette;
Open Access
  • Published: 01 Jan 2016 Journal: PLOS ONE, volume 11, page e0168045 (eissn: 1932-6203, Copyright policy)
  • Publisher: Public Library of Science (PLoS)
Abstract
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 ind...
Subjects
free text keywords: General Biochemistry, Genetics and Molecular Biology, General Agricultural and Biological Sciences, General Medicine, Physics - Physics and Society, Research Article, Physical Sciences, Mathematics, Applied Mathematics, Statistics (Mathematics), Biology and Life Sciences, Neuroscience, Cognitive Science, Decision Making, Behavior, Physics, Quantum Mechanics, Social Sciences, Economics, Quantum Interference, Waves, Wave Interference, Algebra, Linear Algebra, Vector Spaces, Calculus, Cognition, Hilbert space, symbols.namesake, symbols, Vector space, Quantum, Experimental economics, Binary number, Mathematical economics, Decision theory, Population, education.field_of_study, education, ddc:004, lcsh:Medicine, lcsh:R, lcsh:Science, lcsh:Q
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64 references, page 1 of 5

1 Yukalov VI, Sornette D. Processing information in quantum decision theory. Entropy. 2009;11:1073–1120. 10.3390/e11041073 [OpenAIRE] [DOI]

2 Yukalov VI, Sornette D. Mathematical structure of quantum decision theory. Advances in Complex Systems. 2010;13(5):659–698.

3 Yukalov VI, Sornette D. Decision Theory with Prospect Interference and Entanglement. Theory and Decision. 2011;70:283–328. 10.1007/s11238-010-9202-y [OpenAIRE] [DOI]

4 Yukalov VI, Sornette D. Quantum decision theory as quantum theory of measurement. Physics Letters A. 2008;372:6867–6871. 10.1088/1742-6596/594/1/012048 [OpenAIRE] [DOI]

5 Yukalov VI, Sornette D. Physics of risk and uncertainty in quantum decision making. Eur Phys JB. 2009;71:533–548. 10.1140/epjb/e2009-00245-9 [OpenAIRE] [DOI]

6 Yukalov VI, Sornette D. Scheme of thinking quantum systems. Laser Phys Lett. 2009;6:833–839. [OpenAIRE]

7 Yukalov VI, Sornette D. Entanglement production in quantum decision making. Physics of Atomic Nuclei. 2010;73:559–562. [OpenAIRE]

8 Yukalov VI, Sornette D. Quantum probabilities of composite events in quantum measurements with multimode states. Laser Phys. 2013;23(105502). 10.1088/1054-660X/23/10/105502 [OpenAIRE] [DOI]

9 Yukalov VI, Sornette D. Conditions for Quantum Interference in Cognitive Sciences. Topics in Cognitive Science. 2014;6:79–90. 10.1111/tops.12065 24259280 [OpenAIRE] [PubMed] [DOI]

10 Yukalov VI, Sornette D. Self-organization in nature and society as decision making. Adv Complex Systems. 2014;17(3–4):1450016.

11 Yukalov VI, Sornette D. Role of information in decision making of social agents. International Journal of Information Technology and Decision Making. 2015;14(5):1129–1166. 10.1142/S0219622014500564 [OpenAIRE] [DOI]

12 Yukalov VI, Sornette D. Manipulating decision making of typical agents. IEEE Transactions on Systems, Man and Cybernetics: Systems. 2014;44:1155–1168. 10.1109/TSMC.2014.2314283 [OpenAIRE] [DOI]

13 Vincent S, Kovalenko T, Yukalov VI, S ornette D. Calibration of Quantum Decision Theory, Aversion to Large Losses and Predictability of Probabilistic Choices; 2016. Available from: http://ssrn.com/abstract=2775279.

14 Eagly AH. The Science and Politics of Comparing Women and Men. American Psychologist. 1995;50(3):145–158. 10.1037/0003-066X.50.3.145 [OpenAIRE] [DOI]

15 Byrnes JP, Miller DC. Gender Differences in Risk Taking: A Meta-Analysis. Psychological Bulletin. 1999;125(3):367–383. 10.1037/0033-2909.125.3.367 [OpenAIRE] [DOI]

64 references, page 1 of 5
Abstract
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 ind...
Subjects
free text keywords: General Biochemistry, Genetics and Molecular Biology, General Agricultural and Biological Sciences, General Medicine, Physics - Physics and Society, Research Article, Physical Sciences, Mathematics, Applied Mathematics, Statistics (Mathematics), Biology and Life Sciences, Neuroscience, Cognitive Science, Decision Making, Behavior, Physics, Quantum Mechanics, Social Sciences, Economics, Quantum Interference, Waves, Wave Interference, Algebra, Linear Algebra, Vector Spaces, Calculus, Cognition, Hilbert space, symbols.namesake, symbols, Vector space, Quantum, Experimental economics, Binary number, Mathematical economics, Decision theory, Population, education.field_of_study, education, ddc:004, lcsh:Medicine, lcsh:R, lcsh:Science, lcsh:Q
Download fromView all 9 versions
PLoS ONE
Article . 2016
Provider: Crossref
PLoS ONE
Article
Provider: UnpayWall
ETH Zürich Research Collection
Other literature type . 2016
Provider: Datacite
64 references, page 1 of 5

1 Yukalov VI, Sornette D. Processing information in quantum decision theory. Entropy. 2009;11:1073–1120. 10.3390/e11041073 [OpenAIRE] [DOI]

2 Yukalov VI, Sornette D. Mathematical structure of quantum decision theory. Advances in Complex Systems. 2010;13(5):659–698.

3 Yukalov VI, Sornette D. Decision Theory with Prospect Interference and Entanglement. Theory and Decision. 2011;70:283–328. 10.1007/s11238-010-9202-y [OpenAIRE] [DOI]

4 Yukalov VI, Sornette D. Quantum decision theory as quantum theory of measurement. Physics Letters A. 2008;372:6867–6871. 10.1088/1742-6596/594/1/012048 [OpenAIRE] [DOI]

5 Yukalov VI, Sornette D. Physics of risk and uncertainty in quantum decision making. Eur Phys JB. 2009;71:533–548. 10.1140/epjb/e2009-00245-9 [OpenAIRE] [DOI]

6 Yukalov VI, Sornette D. Scheme of thinking quantum systems. Laser Phys Lett. 2009;6:833–839. [OpenAIRE]

7 Yukalov VI, Sornette D. Entanglement production in quantum decision making. Physics of Atomic Nuclei. 2010;73:559–562. [OpenAIRE]

8 Yukalov VI, Sornette D. Quantum probabilities of composite events in quantum measurements with multimode states. Laser Phys. 2013;23(105502). 10.1088/1054-660X/23/10/105502 [OpenAIRE] [DOI]

9 Yukalov VI, Sornette D. Conditions for Quantum Interference in Cognitive Sciences. Topics in Cognitive Science. 2014;6:79–90. 10.1111/tops.12065 24259280 [OpenAIRE] [PubMed] [DOI]

10 Yukalov VI, Sornette D. Self-organization in nature and society as decision making. Adv Complex Systems. 2014;17(3–4):1450016.

11 Yukalov VI, Sornette D. Role of information in decision making of social agents. International Journal of Information Technology and Decision Making. 2015;14(5):1129–1166. 10.1142/S0219622014500564 [OpenAIRE] [DOI]

12 Yukalov VI, Sornette D. Manipulating decision making of typical agents. IEEE Transactions on Systems, Man and Cybernetics: Systems. 2014;44:1155–1168. 10.1109/TSMC.2014.2314283 [OpenAIRE] [DOI]

13 Vincent S, Kovalenko T, Yukalov VI, S ornette D. Calibration of Quantum Decision Theory, Aversion to Large Losses and Predictability of Probabilistic Choices; 2016. Available from: http://ssrn.com/abstract=2775279.

14 Eagly AH. The Science and Politics of Comparing Women and Men. American Psychologist. 1995;50(3):145–158. 10.1037/0003-066X.50.3.145 [OpenAIRE] [DOI]

15 Byrnes JP, Miller DC. Gender Differences in Risk Taking: A Meta-Analysis. Psychological Bulletin. 1999;125(3):367–383. 10.1037/0033-2909.125.3.367 [OpenAIRE] [DOI]

64 references, page 1 of 5
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