Applications of Quantum Statistics in Psychological Studies of Decision Processes

Aerts, Diedrik; Aerts, Sven

doi:10.1007/978-94-015-8816-4_11

Cited by 66 publications

(100 citation statements)

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“…In this paper, we explicitly apply the quantum-theoretic approach to cognitive psychology that was originated in Brussels Aerts 2009;Aerts and Gabora 2005a, b;Aerts and Sozzo 2011;. This approach was inspired by a two-decade research on the conceptual and mathematical foundations of quantum theory, the origins of quantum probability and its connections with contextuality (Aerts 1986;Pitowsky 1989), and the detection of genuine quantum aspects outside the microscopic world (Aerts and Aerts 1995;Aerts et al 1999Aerts et al , 2000.…”

Section: Introductionmentioning

confidence: 98%

Effectiveness of the quantum-mechanical formalism in cognitive modeling

Sozzo¹

2015

Soft Comput

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Traditional approaches to cognitive psychology are founded on a classical vision of logic and probability theory. According to this perspective, the probabilistic aspects of human reasoning can be formalized in a Kolmogorovian probability framework and reveal underlying Boolean-type logical structures. This vision has been seriously challenged by various discoveries in experimental psychology in the last three decades. Meanwhile, growing research indicates that quantum theory provides the conceptual and mathematical framework to deal with these classically problematical situations. In this paper, we apply a general quantum-based modeling scheme to represent two types of cognitive situations where deviations from classical probability occur in human decisions, namely, 'conceptual categorization' and 'decision making'. We show that our quantum-theoretic modeling faithfully describes different sets of experimental data, explaining the observed deviations from classicality in terms of genuine quantum effects. These results may contribute to the development of applied disciplines where cognitive processes are involved, such as natural language processing, semantic analysis, and information retrieval.

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Section: Introductionmentioning

confidence: 98%

Effectiveness of the quantum-mechanical formalism in cognitive modeling

Sozzo¹

2015

Soft Comput

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“…The crucial point is that the potential U is by itself driven by a field equation-Schrödinger's equation (1). Thus (6) can not be considered as just the Newton classical dynamics (because the potential U depends on ψ as a field parameter).…”

Section: Brief Introduction To Bohmian Mechanicsmentioning

confidence: 99%

“…Our paper can be considered as a contribution into applications of quantum mechanics to financial market, see [9-12, 16, 17, 21], see also [1,5,8,[16][17][18][19] on various applications of quantum mechanics outside the microworld. This paper is closely related to investigations on the active information interpretation of Bohmian mechanics [2,14] and its applications to cognitive sciences, see also [17].…”

Section: Introductionmentioning

confidence: 99%

“…In our approach information about the financial market (including expectations of agents of the financial market) is described by an information field ψ(q)-financial wave. This field evolves deterministically 1 the psychology of agents of the financial market gives an important contribution into the financial wave ψ(q), our model can be considered as a special psycho-financial model.…”

Section: Introductionmentioning

confidence: 99%

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Application of Bohmian Mechanics to Dynamics of Prices of Shares: Stochastic Model of Bohm–Vigier from Properties of Price Trajectories

Choustova

2007

Int J Theor Phys

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“…the law of total probability or commutativity in conjunction. Indeed, a number of researchers have been engaged with the exploration of QPT in psychological modelling, for such situations that are problematic for CPT (e.g., [10][11][12][13]). Most of these researchers take the view that a complete picture of decision making requires us to invoke both CPT and QPT principles, possibly the former for better practiced, familiar situations.…”

Section: Introductionmentioning

confidence: 99%

Quantum-like dynamics applied to cognition: a consideration of available options

Broekaert

Basieva

Błasiak

et al. 2017

Phil. Trans. R. Soc. A.

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Keywords: quantum-like dynamics, cognition, Schrödinger evolution, Lindblad evolution 2 Abstract Quantum Probability Theory (QPT) has provided a novel, rich mathematical framework for cognitive modelling, especially for situations which appear paradoxical from classical perspectives. This work concerns the dynamical aspects of QPT, as relevant to cognitive modelling. We aspire to shed light on how the mind's driving potentials (encoded in Hamiltonian and Lindbladian operators) impact the evolution of a mental state. Some existing QPT cognitive models do employ dynamical aspects when considering how a mental state changes with time, but it is often the case that several simplifying assumptions are introduced. What kind of modelling flexibility do QPT dynamics offer without any simplifying assumptions and is it likely that such flexibility will be relevant in cognitive modelling? Permanent repository linkWe consider a series of nested QPT dynamical models, constructed with a view to accommodate results from a simple, hypothetical experimental paradigm on decision making. We consider Hamiltonians more complex than the ones which have traditionally been employed with a view to explore the putative explanatory value of this additional complexity. We then proceed to compare simple models with extensions regarding both the initial state (e.g., mixed state with a specific orthogonal decomposition; a general mixed state) and the dynamics (by introducing Hamiltonians which destroy the separability of the initial structure and by considering an open-systems extension). We illustrate the relations between these models mathematically and numerically.3

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Applications of Quantum Statistics in Psychological Studies of Decision Processes

Cited by 66 publications

References 3 publications

Effectiveness of the quantum-mechanical formalism in cognitive modeling

Effectiveness of the quantum-mechanical formalism in cognitive modeling

Application of Bohmian Mechanics to Dynamics of Prices of Shares: Stochastic Model of Bohm–Vigier from Properties of Price Trajectories

Quantum-like dynamics applied to cognition: a consideration of available options

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