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Application of Theory of Quantum Instruments to Psychology: Combination of Question Order Effect with Response Replicability Effect
Nagoya Univ, Japan;Chubu Univ, Japan.
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modeling Phys & Cognit Sci)ORCID iD: 0000-0002-9857-0938
2020 (English)In: Entropy, E-ISSN 1099-4300, Vol. 22, no 1, p. 1-14, article id 37Article in journal (Refereed) Published
Abstract [en]

Recently, quantum formalism started to be actively used outside of quantum physics: in psychology, decision-making, economics, finances, and social science. Human psychological behavior is characterized by a few basic effects; one of them is the question order effect (QOE). This effect was successfully modeled (Busemeyer-Wang) by representing questions A and B by Hermitian observables and mental-state transformations (back action of answering) by orthogonal projectors. However, then it was demonstrated that such representation cannot be combined with another psychological effect, known as the response replicability effect (RRE). Later, this no-go result was generalized to representation of questions and state transformations by quantum instruments of the atomic type. In light of these results, the possibility of using quantum formalism in psychology was questioned. In this paper, we show that, nevertheless, the combination of the QOE and RRE can be modeled within quantum formalism, in the framework of theory of non-atomic quantum instruments.

Place, publisher, year, edition, pages
MDPI, 2020. Vol. 22, no 1, p. 1-14, article id 37
Keywords [en]
quantum-like models, psychology, decision making, social science, quantum instruments, order effect, response replicability effect, non-atomic quantum instruments
National Category
Mathematics Psychology
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-93690DOI: 10.3390/e22010037ISI: 000516825400069Scopus ID: 2-s2.0-85078517662OAI: oai:DiVA.org:lnu-93690DiVA, id: diva2:1426143
Available from: 2020-04-23 Created: 2020-04-23 Last updated: 2023-03-28Bibliographically approved

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Khrennikov, Andrei

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CiteExportLink to record
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