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Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment
Univ Palermo, Italy;INFN, Sez Napoli, Italy;Dept Math & Appl Math, South Africa.
City Univ London, UK.
Linnaeus University, Faculty of Technology, Department of Mathematics. Natl Res Univ Informat Technol Mech & Opt ITMO, Russia. (Int Ctr Math Modeling Phys & Cognit Sci)ORCID iD: 0000-0002-9857-0938
2018 (English)In: Journal of mathematical psychology (Print), ISSN 0022-2496, E-ISSN 1096-0880, Vol. 82, p. 159-168Article in journal (Refereed) Published
Abstract [en]

This paper is devoted to a justification of quantum-like models of the process of decision making based on the theory of open quantum systems, i.e. decision making is considered as decoherence. This process is modeled as interaction of a decision maker, Alice, with a mental (information) environment R, surrounding her. Such an interaction generates "dissipation of uncertainty" from Alice's belief-state rho(t) into R, and asymptotic stabilization of rho(t) to a steady belief-state. The latter is treated as the decision state. Mathematically the problem under study is about finding constraints on 72, guaranteeing such stabilization. We found a partial solution of this problem (in the form of sufficient conditions). We present the corresponding decision making analysis for one class of mental environments, the so-called "almost homogeneous environments", with the illustrative examples: (a) behavior of electorate interacting with the mass-media "reservoir"; (b) consumers' persuasion. We also comment on other classes of mental environments. (C) 2017 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
Academic Press, 2018. Vol. 82, p. 159-168
Keyword [en]
Decision making, Quantum-like model, Mental (information) environment, Open quantum systems, Dissipation of uncertainty, Voters' behavior, Consumers' persuasion
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-72692DOI: 10.1016/j.jmp.2017.10.002ISI: 000428361300013OAI: oai:DiVA.org:lnu-72692DiVA, id: diva2:1197689
Available from: 2018-04-13 Created: 2018-04-13 Last updated: 2018-04-13Bibliographically approved

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Khrennikov, Andrei

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