Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum-like modeling of the order effect in decision making: POVM
  viewpoint on the Wang-Busemeyer QQ-equality   In recent years, quantum mechanics has been actively used in areas outside of
physics, such as psychology, sociology, theory of decision-making, game theory,
and others. In particular, quantum mechanics is used to explain the paradoxes
arising in cognitive psychology and decision making. Wang and Busemeyer
invented a quantum model and approach as well as non-parametric equality
(so-called QQ-equality), explaining the questions order effect. The primary
objective of this note is to test the possibility to expand the Wang-Busemeyer
model by considering questions which are mathematically represented by positive
operator valued measures. We found that, for such observables, the QQ-equality
can be violated. But, we also showed that, in principle, it is possible to
reduce expanded model to the original Wang-Busemeyer model by expanding the
context of the questions.

31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th