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