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Quantum-like dynamics of decision-making
Tokyo University of Science.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematics)ORCID iD: 0000-0003-2396-6193
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematgics)ORCID iD: 0000-0002-9857-0938
Tokyo University of Science.
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2012 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 391, no 5, p. 2083-2099Article in journal (Refereed) Published
Abstract [en]

In cognitive psychology, some experiments for games were reported, and they demonstrated that real players did not use the "rational strategy" provided by classical game theory and based on the notion of the Nasch equilibrium. This psychological phenomenon was called the disjunction effect. Recently, we proposed a model of decision making which can explain this effect ("irrationality" of players) Asano et al. (2010, 2011) [23,24]. Our model is based on the mathematical formalism of quantum mechanics, because psychological fluctuations inducing the irrationality are formally represented as quantum fluctuations Asano et al. (2011)[55]. In this paper, we reconsider the process of quantum-like decision-making more closely and redefine it as a well-defined quantum dynamics by using the concept of lifting channel, which is an important concept in quantum information theory. We also present numerical simulation for this quantum-like mental dynamics. It is non-Markovian by its nature. Stabilization to the steady state solution (determining subjective probabilities for decision making) is based on the collective effect of mental fluctuations collected in the working memory of a decision maker. (C) 2011 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
2012. Vol. 391, no 5, p. 2083-2099
Keywords [en]
Decision making; Quantum-like model; Game theory; Prisoners dilemma; Behavioral economics; Quantum channels; Lifting; Mental state
National Category
Mathematics Psychology
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-19057DOI: 10.1016/j.physa.2011.11.042ISI: 000300133400018Scopus ID: 2-s2.0-84655161871OAI: oai:DiVA.org:lnu-19057DiVA, id: diva2:529324
Available from: 2012-05-30 Created: 2012-05-30 Last updated: 2018-05-16Bibliographically approved

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Basieva, IrinaKhrennikov, Andrei

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