Quantum cognition goes beyond-quantum: modeling the collective participant in psychological measurements
arXiv:1802.10448 · doi:10.1142/9789813276895_0017
Abstract
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.
arXiv comment19 pages, 1 figure
References in corpus (7)
- Quantum Models for Psychological Measurements: An Unsolved Problem
- On the Foundations of the Brussels Operational-Realistic Approach to Cognition
- Quantum Interference and Superposition in Cognition: Development of a Theory for the Disjunction of Concepts
- Beyond-Quantum Modeling of Question Order Effects and Response Replicability in Psychological Measurements
- The GTR-model: a universal framework for quantum-like measurements
- Quantum Cognition Beyond Hilbert Space I: Fundamentals
- Quantum cognition beyond Hilbert space II: Applications