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Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment

Bagarello, F., Basieva, I. and Khrennikov, A. (2018). Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment. Journal of Mathematical Psychology, 82, doi: 10.1016/j.jmp.2017.10.002

Abstract

This paper is devoted to justification of the quantum-like model of the process of decision making based on theory of open quantum systems: decision making as decoher- ence. 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 ρ ( t ) into R and asymptotic stabilization of ρ ( t ) to a steady belief-state. The latter is treated as the decision state. Mathematically the problem under study is about finding constraints on R 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, 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.

Publication Type: Article
Additional Information: © 2017 Elsevier Inc . This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects: B Philosophy. Psychology. Religion > BF Psychology
Q Science > QA Mathematics
Departments: School of Arts & Social Sciences > Psychology
URI: http://openaccess.city.ac.uk/id/eprint/20388
[img] Text - Accepted Version
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