Quantum cognition goes beyond-quantum: modeling the collective participant in psychological measurements

In psychological measurements, two levels should be distinguished: the 'individual level', relative to the different participants in a given cognitive situation, and the 'collective level', relative to the overall statistics of their outcomes, which we propose to associate with a notion of 'collective participant'. When the distinction between these two levels is properly formalized, it reveals why the modeling of the collective participant generally requires beyond-quantum - non-Bornian - probabilistic models, when sequential measurements at the individual level are considered, and this though a pure quantum description remains valid for single measurement situations.

[1]  Diederik Aerts,et al.  On the Foundations of the Brussels Operational-Realistic Approach to Cognition , 2015, Front. Phys..

[2]  Gerd Niestegge,et al.  An Approach to Quantum Mechanics via Conditional Probabilities , 2008 .

[3]  Diederik Aerts,et al.  Quantum, classical and intermediate I: a model on the Poincaré sphere , 1997 .

[4]  Diederik Aerts,et al.  The Unreasonable Success of Quantum Probability I: Quantum Measurements as Uniform Fluctuations , 2014, 1401.2647.

[5]  C. H. Coombs,et al.  Mathematical psychology : an elementary introduction , 1970 .

[6]  Diederik Aerts,et al.  Quantum Interference and Superposition in Cognition: Development of a Theory for the Disjunction of Concepts , 2007, 0705.0975.

[7]  Vincenzo Crupi,et al.  On the determinants of the conjunction fallacy: probability versus inductive confirmation. , 2013, Journal of experimental psychology. General.

[8]  Diederik Aerts,et al.  Applications of Quantum Statistics in Psychological Studies of Decision Processes , 1995 .

[9]  A. Tversky,et al.  Support theory: A nonextensional representation of subjective probability. , 1994 .

[10]  Jerome R. Busemeyer,et al.  Quantum Models of Cognition and Decision , 2012 .

[11]  Diederik Aerts,et al.  On the Origin of Probabilities in Quantum Mechanics: Creative and Contextual Aspects , 1999 .

[12]  Diederik Aerts,et al.  Quantum measurements as weighted symmetry breaking processes: the hidden measurement perspective , 2016, 1601.05222.

[13]  Diederik Aerts,et al.  The entity and modern physics: the creation-discovery- view of reality 1 , 1998 .

[14]  Jerome R. Busemeyer,et al.  A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction , 2013, Top. Cogn. Sci..

[15]  Diederik Aerts,et al.  Entanglement of Conceptual Entities in Quantum Model Theory (QMod) , 2012, QI.

[16]  Diederik Aerts,et al.  Quantum Model Theory (QMod): Modeling Contextual Emergent Entangled Interfering Entities , 2012, QI.

[17]  Eric Chown,et al.  Cognitive Modeling , 2014, Computing Handbook, 3rd ed..

[18]  Diederik Aerts,et al.  Beyond-Quantum Modeling of Question Order Effects and Response Replicability in Psychological Measurements , 2015, ArXiv.

[19]  Diederik Aerts,et al.  The GTR-model: a universal framework for quantum-like measurements , 2015, ArXiv.

[20]  Richard M. Shiffrin,et al.  Context effects produced by question orders reveal quantum nature of human judgments , 2014, Proceedings of the National Academy of Sciences.

[21]  Diederik Aerts,et al.  The unreasonable success of quantum probability II: Quantum measurements as universal measurements , 2014, Journal of Mathematical Psychology.

[22]  Diederik Aerts,et al.  Quantum Cognition Beyond Hilbert Space: Fundamentals and Applications , 2016, QI.

[23]  Diederik Aerts,et al.  PROBING THE MEANING OF QUANTUM MECHANICS: SUPERPOSITIONS, DYNAMICS, SEMANTICS AND IDENTITY , 2016 .

[24]  Zucchini,et al.  An Introduction to Model Selection. , 2000, Journal of mathematical psychology.

[25]  Jennifer S Trueblood,et al.  A quantum theoretical explanation for probability judgment errors. , 2011, Psychological review.

[26]  Diederik Aerts,et al.  The extended Bloch representation of quantum mechanics and the hidden-measurement solution to the measurement problem , 2014, 1404.2429.

[27]  David W. Moore.  Measuring New Types of Question-Order Effects: Additive and Subtractive , 2002 .

[28]  A. Tversky,et al.  Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment , 1983 .

[29]  Ehtibar N. Dzhafarov,et al.  Quantum Models for Psychological Measurements: An Unsolved Problem , 2014, PloS one.