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

Fabio Bagarello, Fabio Bagarello, Irina Basieva, Andrei Khrennikov

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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 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, 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.
Original languageEnglish
Pages (from-to)159-168
Number of pages10
JournalJournal of Mathematical Psychology
Volume82
Publication statusPublished - 2018

Fingerprint

Quantum Fields
Decision Making
Stabilization
Decision making
Quantum Theory
Interaction
Persuasive Communication
Mass Media
Decision Support Techniques
Persuasion
Open Quantum Systems
Uncertainty
Decoherence
Justification
Model
Dissipation
Partial
Beliefs
Sufficient Conditions
Class

All Science Journal Classification (ASJC) codes

  • Psychology(all)
  • Applied Mathematics

Cite this

Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment. / Bagarello, Fabio; Bagarello, Fabio; Basieva, Irina; Khrennikov, Andrei.

In: Journal of Mathematical Psychology, Vol. 82, 2018, p. 159-168.

Research output: Contribution to journalArticle

@article{558798447d6c40fcae3fb5bfce6d94dc,
title = "Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment",
abstract = "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 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, 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.",
author = "Fabio Bagarello and Fabio Bagarello and Irina Basieva and Andrei Khrennikov",
year = "2018",
language = "English",
volume = "82",
pages = "159--168",
journal = "Journal of Mathematical Psychology",
issn = "0022-2496",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment

AU - Bagarello, Fabio

AU - Bagarello, Fabio

AU - Basieva, Irina

AU - Khrennikov, Andrei

PY - 2018

Y1 - 2018

N2 - 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 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, 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.

AB - 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 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, 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.

UR - http://hdl.handle.net/10447/356827

UR - http://www.elsevier.com/inca/publications/store/6/2/2/8/8/7/index.htt

M3 - Article

VL - 82

SP - 159

EP - 168

JO - Journal of Mathematical Psychology

JF - Journal of Mathematical Psychology

SN - 0022-2496

ER -