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Quantum like modeling of decision making: Quantifying uncertainty with the aid of Heisenberg-Robertson inequality
Univ Palermo, Italy;INFN, Italy.
Univ London, UK.
Univ London, England.
Linnaeus University, Faculty of Technology, Department of Mathematics. Natl Res Univ Informat Technol Mech & Opt ITMO, Russia. (Int Ctr Math Modeling)ORCID iD: 0000-0002-9857-0938
2018 (English)In: Journal of mathematical psychology (Print), ISSN 0022-2496, E-ISSN 1096-0880, Vol. 84, p. 49-56Article in journal (Refereed) Published
Abstract [en]

This paper contributes to quantum-like modeling of decision making (DM) under uncertainty through application of Heisenberg's uncertainty principle (in the form of the Robertson inequality). In this paper we apply this instrument to quantify uncertainty in DM performed by quantum-like agents. As an example, we apply the Heisenberg uncertainty principle to the determination of mutual interrelation of uncertainties for "incompatible questions" used to be asked in political opinion pools. We also consider the problem of representation of decision problems, e.g., in the form of questions, by Hermitian operators, commuting and noncommuting, corresponding to compatible and incompatible questions respectively. Our construction unifies the two different situations (compatible versus incompatible mental observables), by means of a single Hilbert space and of a deformation parameter which can be tuned to describe these opposite cases. One of the main foundational consequences of this paper for cognitive psychology is formalization of the mutual uncertainty about incompatible questions with the aid of Heisenberg's uncertainty principle implying the mental state dependence of (in)compatibility of questions. (C) 2018 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 84, p. 49-56
Keywords [en]
Compatible and incompatible questions, Decision making, Heisenberg uncertainty principle, Mental state, Order effect
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-76883DOI: 10.1016/j.jmp.2018.03.004ISI: 000435529400004Scopus ID: 2-s2.0-85045433766OAI: oai:DiVA.org:lnu-76883DiVA, id: diva2:1233313
Available from: 2018-07-17 Created: 2018-07-17 Last updated: 2019-08-29Bibliographically approved

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Khrennikov, Andrei

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • vancouver
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Language
  • de-DE
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  • nn-NB
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  • Other locale
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