Open this publication in new window or tab >>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
Keyword
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:nbn:se:lnu:diva-72692 (URN)10.1016/j.jmp.2017.10.002 (DOI)000428361300013 ()
2018-04-132018-04-132018-04-13Bibliographically approved