Sensitivity to Context in Human Interactions

Considering two agents responding to two (binary) questions each, we define sensitivity to context as a state of affairs such that responses to a question depend on the other agent’s questions, with the implication that it is not possible to represent the corresponding probabilities with a four-way...

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Autores principales: Oliver Waddup, Pawel Blasiak, James M. Yearsley, Bartosz W. Wojciechowski, Emmanuel M. Pothos
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/908bbd518b484a8696fd5c2a61f0f1ff
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spelling oai:doaj.org-article:908bbd518b484a8696fd5c2a61f0f1ff2021-11-11T18:19:27ZSensitivity to Context in Human Interactions10.3390/math92127842227-7390https://doaj.org/article/908bbd518b484a8696fd5c2a61f0f1ff2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2784https://doaj.org/toc/2227-7390Considering two agents responding to two (binary) questions each, we define sensitivity to context as a state of affairs such that responses to a question depend on the other agent’s questions, with the implication that it is not possible to represent the corresponding probabilities with a four-way probability distribution. We report two experiments with a variant of a prisoner’s dilemma task (but without a Nash equilibrium), which examine the sensitivity of participants to context. The empirical results indicate sensitivity to context and add to the body of evidence that prisoner’s dilemma tasks can be constructed so that behavior appears inconsistent with baseline classical probability theory (and the assumption that decisions are described by random variables revealing pre-existing values). We fitted two closely matched models to the results, a classical one and a quantum one, and observed superior fits for the latter. Thus, in this case, sensitivity to context goes hand in hand with (epiphenomenal) entanglement, the key characteristic of the quantum model.Oliver WaddupPawel BlasiakJames M. YearsleyBartosz W. WojciechowskiEmmanuel M. PothosMDPI AGarticlebell inequalitiesdecision makingagent interactionquantum theoryMathematicsQA1-939ENMathematics, Vol 9, Iss 2784, p 2784 (2021)
institution DOAJ
collection DOAJ
language EN
topic bell inequalities
decision making
agent interaction
quantum theory
Mathematics
QA1-939
spellingShingle bell inequalities
decision making
agent interaction
quantum theory
Mathematics
QA1-939
Oliver Waddup
Pawel Blasiak
James M. Yearsley
Bartosz W. Wojciechowski
Emmanuel M. Pothos
Sensitivity to Context in Human Interactions
description Considering two agents responding to two (binary) questions each, we define sensitivity to context as a state of affairs such that responses to a question depend on the other agent’s questions, with the implication that it is not possible to represent the corresponding probabilities with a four-way probability distribution. We report two experiments with a variant of a prisoner’s dilemma task (but without a Nash equilibrium), which examine the sensitivity of participants to context. The empirical results indicate sensitivity to context and add to the body of evidence that prisoner’s dilemma tasks can be constructed so that behavior appears inconsistent with baseline classical probability theory (and the assumption that decisions are described by random variables revealing pre-existing values). We fitted two closely matched models to the results, a classical one and a quantum one, and observed superior fits for the latter. Thus, in this case, sensitivity to context goes hand in hand with (epiphenomenal) entanglement, the key characteristic of the quantum model.
format article
author Oliver Waddup
Pawel Blasiak
James M. Yearsley
Bartosz W. Wojciechowski
Emmanuel M. Pothos
author_facet Oliver Waddup
Pawel Blasiak
James M. Yearsley
Bartosz W. Wojciechowski
Emmanuel M. Pothos
author_sort Oliver Waddup
title Sensitivity to Context in Human Interactions
title_short Sensitivity to Context in Human Interactions
title_full Sensitivity to Context in Human Interactions
title_fullStr Sensitivity to Context in Human Interactions
title_full_unstemmed Sensitivity to Context in Human Interactions
title_sort sensitivity to context in human interactions
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/908bbd518b484a8696fd5c2a61f0f1ff
work_keys_str_mv AT oliverwaddup sensitivitytocontextinhumaninteractions
AT pawelblasiak sensitivitytocontextinhumaninteractions
AT jamesmyearsley sensitivitytocontextinhumaninteractions
AT bartoszwwojciechowski sensitivitytocontextinhumaninteractions
AT emmanuelmpothos sensitivitytocontextinhumaninteractions
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