The triple-store experiment: a first simultaneous test of classical and quantum probabilities in choice over menus
| Autor: | Irina Basieva, Ismaël Rafaï, Sébastien Duchêne, Eric Guerci, Andrei Khrennikov |
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| Přispěvatelé: | Centre d'Economie de l'Environnement - Montpellier - UMR 5211 (CEE-M), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Groupe de Recherche en Droit, Economie et Gestion (GREDEG), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), City University London, Iinternational Center for Mathematical Modeling (ICMM), Växjö University, ESIA, Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Singleton
Computer science 05 social sciences General Social Sciences General Decision Sciences Resolution (logic) Interference (wave propagation) [SHS.ECO]Humanities and Social Sciences/Economics and Finance Computer Science Applications Test (assessment) [SHS]Humanities and Social Sciences Voucher Quantum probability Arts and Humanities (miscellaneous) 0502 economics and business Developmental and Educational Psychology 050206 economic theory Born rule 050207 economics General Economics Econometrics and Finance Mathematical economics Quantum Applied Psychology |
| Zdroj: | Theory and Decision Theory and Decision, Springer Verlag, In press, ⟨10.1007/s11238-021-09823-2⟩ Theory and Decision, Springer Verlag, In press, 92 (387-406), ⟨10.1007/s11238-021-09823-2⟩ |
| ISSN: | 0040-5833 1573-7187 |
| Popis: | International audience; Recently quantum probability theory started to be actively used in studies of human decision-making, in particular for the resolution of paradoxes (such as the Allais, Ellsberg, and Machina paradoxes). Previous studies were based on a cognitive metaphor of the quantum double-slit experiment - the basic quantum interference experiment. In this paper, we report on an economics experiment based on a three-slit experiment design, where the slits are menus of alternatives from which one can choose. The test of nonclassicality is based on the Sorkin equality (which was only recently tested in quantum physics). Each alternative is a voucher to buy products in one or more stores. The alternatives are obtained from all disjunctions including one, two or three stores. The participants have to reveal the amount for which they are willing to sell the chosen voucher. Interference terms are computed by comparing the willingness to sell a voucher built as a disjunction of stores and the willingness to sell the vouchers corresponding to the singleton stores. These willingness to sell amounts are used to estimate probabilities and to test both the law of total probabilities and the Born Rule. Results reject neither classical nor quantum probability. We discuss this initial experiment and our results and provide guidelines for future studies. |
| Databáze: | OpenAIRE |
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