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Dynamics of Entropy in Quantum-like Model of Decision Making.
(mathematical modeling)ORCID iD: 0000-0003-2396-6193
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematical modeling)ORCID iD: 0000-0002-9857-0938
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2011 (English)In: AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616, Vol. 1327, p. 63-70Article in journal (Refereed) Published
Abstract [en]

We present a quantum-like model of decision making in games of the Prisoner's Dilemma type. By this model the brain processes information by using representation of mental states in complex Hilbert space. Driven by the master equation the mental state of a player, say Alice, approaches an equilibrium point in the space of density matrices. By using this equilibrium point Alice determines her mixed (i.e., probabilistic) strategy with respect to Bob. Thus our model is a model of thinking through decoherence of initially pure mental state. Decoherence is induced by interaction with memory and external environment. In this paper we study (numerically) dynamics of quantum entropy of Alice's state in the process of decision making. Our analysis demonstrates that this dynamics depends nontrivially on the initial state of Alice's mind on her own actions and her prediction state (for possible actions of Bob.)

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2011. Vol. 1327, p. 63-70
Keywords [en]
Decision making, Quantum-like model, Master equation, Decoherence-thinking, Dynamics of entropy
National Category
Natural Sciences
Research subject
Natural Science
Identifiers
URN: urn:nbn:se:lnu:diva-16591DOI: 10.1063/1.3567429OAI: oai:DiVA.org:lnu-16591DiVA, id: diva2:472986
Conference
International Conference Advances in Quantum Theory, Vaxjo, SWEDEN, JUN 14-17, 2010
Available from: 2012-01-04 Created: 2012-01-04 Last updated: 2018-05-16Bibliographically approved

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Basieva, IrinaKhrennikov, Andrei

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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  • vancouver
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  • de-DE
  • en-GB
  • en-US
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  • nn-NB
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  • Other locale
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