Quantum like modeling of decision making: Quantifying uncertainty with the aid of Heisenberg–Robertson inequality

Fabio Bagarello, Emmanuel M. Pothos, Fabio Bagarello, Irina Basieva, Andrei Khrennikov

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This paper contributes to quantum-like modeling of decision making (DM) under uncertainty through application of Heisenberg's uncertainty principle (in the form of the Robertson inequality). In this paper we apply this instrument to quantify uncertainty in DM performed by quantum-like agents. As an example, we apply the Heisenberg uncertainty principle to the determination of mutual interrelation of uncertainties for “incompatible questions” used to be asked in political opinion pools. We also consider the problem of representation of decision problems, e.g., in the form of questions, by Hermitian operators, commuting and noncommuting, corresponding to compatible and incompatible questions respectively. Our construction unifies the two different situations (compatible versus incompatible mental observables), by means of a single Hilbert space and of a deformation parameter which can be tuned to describe these opposite cases. One of the main foundational consequences of this paper for cognitive psychology is formalization of the mutual uncertainty about incompatible questions with the aid of Heisenberg's uncertainty principle implying the mental state dependence of (in)compatibility of questions.
Original languageEnglish
Pages (from-to)49-56
Number of pages8
JournalJournal of Mathematical Psychology
Volume84
Publication statusPublished - 2018

Fingerprint

Uncertainty Principle
Uncertainty
Decision Making
Decision making
Modeling
Hermitian Operators
Formalization
Decision problem
Compatibility
Quantify
Hilbert space
Hilbert spaces
Psychology
Form

All Science Journal Classification (ASJC) codes

  • Psychology(all)
  • Applied Mathematics

Cite this

Quantum like modeling of decision making: Quantifying uncertainty with the aid of Heisenberg–Robertson inequality. / Bagarello, Fabio; Pothos, Emmanuel M.; Bagarello, Fabio; Basieva, Irina; Khrennikov, Andrei.

In: Journal of Mathematical Psychology, Vol. 84, 2018, p. 49-56.

Research output: Contribution to journalArticle

Bagarello, Fabio ; Pothos, Emmanuel M. ; Bagarello, Fabio ; Basieva, Irina ; Khrennikov, Andrei. / Quantum like modeling of decision making: Quantifying uncertainty with the aid of Heisenberg–Robertson inequality. In: Journal of Mathematical Psychology. 2018 ; Vol. 84. pp. 49-56.
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