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Dynamics of Entropy in Quantum-like Model of Decision Making.
(mathematical modeling)ORCID-id: 0000-0003-2396-6193
Linnéuniversitetet, Fakultetsnämnden för naturvetenskap och teknik, Institutionen för datavetenskap, fysik och matematik, DFM. (mathematical modeling)ORCID-id: 0000-0002-9857-0938
Vise andre og tillknytning
2011 (engelsk)Inngår i: AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616, Vol. 1327, s. 63-70Artikkel i tidsskrift (Fagfellevurdert) 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.)

sted, utgiver, år, opplag, sider
American Institute of Physics (AIP), 2011. Vol. 1327, s. 63-70
Emneord [en]
Decision making, Quantum-like model, Master equation, Decoherence-thinking, Dynamics of entropy
HSV kategori
Forskningsprogram
Naturvetenskap
Identifikatorer
URN: urn:nbn:se:lnu:diva-16591DOI: 10.1063/1.3567429OAI: oai:DiVA.org:lnu-16591DiVA, id: diva2:472986
Konferanse
International Conference Advances in Quantum Theory, Vaxjo, SWEDEN, JUN 14-17, 2010
Tilgjengelig fra: 2012-01-04 Laget: 2012-01-04 Sist oppdatert: 2018-05-16bibliografisk kontrollert

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