Journal
JOURNAL OF MATHEMATICAL PSYCHOLOGY
Volume 53, Issue 5, Pages 423-433Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmp.2009.03.002
Keywords
Markov processes; Quantum probability; Categorization; Decision making; Interference effects; Double stochasticity
Categories
Funding
- National Science Foundation [s 0817965, 0818277]
- Direct For Social, Behav & Economic Scie
- Divn Of Social and Economic Sciences [GRANTS:13705421, 0818277] Funding Source: National Science Foundation
- Divn Of Social and Economic Sciences
- Direct For Social, Behav & Economic Scie [0817965] Funding Source: National Science Foundation
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There are at least two general theories for building probabilistic-dynamical systems: one is Markov theory and another is quantum theory. These two mathematical frameworks share many fundamental ideas, but they also differ in some key properties. On the one hand, Markov theory obeys the law of total probability, but quantum theory does not: on the other hand, quantum theory obeys the doubly stochastic law, but Markov theory does not. Therefore, the decision about whether to use a Markov or a quantum system depends on which of these laws are empirically obeyed in an application. This article derives two general methods for testing these theories that are parameter free, and presents a new experimental test. The article concludes with a review of experimental findings from cognitive psychology that evaluate these two properties. (C) 2009 Elsevier Inc. All rights reserved.
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