Quantum cognition and bounded rationality
Synthese 193 (10) (2016)
Abstract
We consider several puzzles of bounded rationality. These include the Allais- and Ellsberg paradox, the disjunction effect, and related puzzles. We argue that the present account of quantum cognition—taking quantum probabilities rather than classical probabilities—can give a more systematic description of these puzzles than the alternate treatments in the traditional frameworks of bounded rationality. Unfortunately, the quantum probabilistic treatment does not always provide a deeper understanding and a true explanation of these puzzles. One reason is that quantum approaches introduce additional parameters which possibly can be fitted to empirical data but which do not necessarily explain them. Hence, the phenomenological research has to be augmented by responding to deeper foundational issues. In this article, we make the general distinction between foundational and phenomenological research programs, explaining the foundational issue of quantum cognition from the perspective of operational realism. This framework is motivated by assuming partial Boolean algebras. They are combined into a uniform system via a mechanism preventing the simultaneous realization of perspectives. Gleason’s theorem then automatically leads to a distinction between probabilities that are defined by pure states and probabilities arising from the statistical mixture of pure states. This formal distinction relates to the conceptual distinction between risk and ignorance. Another outcome identifies quantum aspects in dynamic macro-systems using the framework of symbolic dynamics. Finally, we discuss several ideas that are useful for justifying complementarity in cognitive systemsDOI
10.1007/s11229-015-0928-5
My notes
Similar books and articles
Quantum Information Biology: From Information Interpretation of Quantum Mechanics to Applications in Molecular Biology and Cognitive Psychology.Masanari Asano, Irina Basieva, Andrei Khrennikov, Masanori Ohya, Yoshiharu Tanaka & Ichiro Yamato - 2015 - Foundations of Physics 45 (10):1362-1378.
Can quantum probability provide a new direction for cognitive modeling?Emmanuel M. Pothos & Jerome R. Busemeyer - 2013 - Behavioral and Brain Sciences 36 (3):255-274.
Sensible quantum mechanics: Are probabilities only in the mind?Don N. Page - 1996 - International Journal of Modern Physics D 5:583-96.
Decision Making : A Quantum Mechanical Analysis Based On Time Evolution of Quantum Wave Function and of Quantum Probabilities during Perception and Cognition of Human Subjects.Elio Conte - 2009 - In Vaxjo University Press (ed.), Proceedings Congress Vaxjo University Conference on Quantum Mechanics. Vaxjo University.
On Relations Between Probabilities Under Quantum and Classical Measurements.Andrei Y. Khrennikov & Elena R. Loubenets - 2004 - Foundations of Physics 34 (4):689-704.
Probabilities and Quantum Reality: Are There Correlata? [REVIEW]Robert B. Griffiths - 2003 - Foundations of Physics 33 (10):1423-1459.
Popper's Propensity Interpretation and Heisenberg's Potentia Interpretation.Ravi V. Gomatam - unknown
Quantum Theory Without Hilbert Spaces.C. Anastopoulos - 2001 - Foundations of Physics 31 (11):1545-1580.
A real ensemble interpretation of quantum mechanics.Lee Smolin - 2012 - Foundations of Physics 42 (10):1239-1261.
A Model with Quantum Logic, but Non-Quantum Probability: The Product Test Issue. [REVIEW]Jan Broekaert & Bart D'Hooghe - 2000 - Foundations of Physics 30 (9):1481-1501.
Partial Measurements and the Realization of Quantum-Mechanical Counterfactuals.G. S. Paraoanu - 2011 - Foundations of Physics 41 (7):1214-1235.
Contexts, Systems and Modalities: A New Ontology for Quantum Mechanics.Alexia Auffèves & Philippe Grangier - 2016 - Foundations of Physics 46 (2):121-137.
Analytics
Added to PP
2015-10-21
Downloads
46 (#256,327)
6 months
3 (#225,457)
2015-10-21
Downloads
46 (#256,327)
6 months
3 (#225,457)
Historical graph of downloads
Citations of this work
Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Words.Diederik Aerts & Lester Beltran - 2020 - Foundations of Science 25 (3):755-802.
Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Words.Diederik Aerts & Lester Beltran - 2020 - Foundations of Science 25 (3):755-802.
Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Words.Diederik Aerts & Lester Beltran - 2020 - Foundations of Science 25 (3):755-802.
Quantum core affect. Color-emotion structure of semantic atom.Ilya A. Surov - 2022 - Frontiers in Psychology 13.
Vector logic allows counterfactual virtualization by the square root of NOT.Eduardo Mizraji - forthcoming - Logic Journal of the IGPL.