Testing quantum-like models of judgment for question order effect

Thomas Boyer-Kassem (), Sébastien Duchêne and Eric Guerci
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Thomas Boyer-Kassem: LHSP - Laboratoire d'Histoire des Sciences et de Philosophie - Archives Henri Poincaré - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique

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Abstract: Lately, so-called "quantum" models, based on parts of the mathematics of quantum mechanics, have been developed in decision theory and cognitive sciences to account for seemingly irrational or paradoxical human judgments. We consider here some such quantum-like models that address question order effects, i.e. cases in which given answers depend on the order of presentation of the questions. Models of various dimensionalities could be used; can the simplest ones be empirically adequate? From the quantum law of reciprocity, we derive new empirical predictions that we call the Grand Reciprocity equations, that must be satisfied by several existing quantum-like models, in their non-degenerate versions. Using substantial existing data sets, we show that these non-degenerate versions fail the GR test in most cases, which means that, if quantum-like models of the kind considered here are to work, it can only be in their degenerate versions. However, we suggest that the route of degenerate models is not necessarily an easy one, and we argue for more research on the empirical adequacy of degenerate quantum-like models in general.

Keywords: law of reciprocity; question order effect; quantum-like model; double stochasticity (search for similar items in EconPapers)
Date: 2016-03
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01289003v1
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Citations: View citations in EconPapers (2)

Published in Mathematical Social Sciences, 2016, 80, pp.33-46. ⟨10.1016/j.mathsocsci.2016.01.001⟩

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Related works:
Journal Article: Testing quantum-like models of judgment for question order effect (2016)
Working Paper: Testing Quantum-like Models of Judgment for Question Order Effects (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-01289003

DOI: 10.1016/j.mathsocsci.2016.01.001

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