Type indeterminacy - A Model of the KT(Khaneman Tversky)- Man

Ariane Lambert-Mogiliansky (), Shmuel Zamir () and Hervé Zwirn ()
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Ariane Lambert-Mogiliansky: PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Hervé Zwirn: IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques - UP1 - Université Paris 1 Panthéon-Sorbonne - DEC - Département d'Etudes Cognitives - ENS-PSL - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique, CMLA - Centre de Mathématiques et de Leurs Applications - ENS Cachan - École normale supérieure - Cachan - CNRS - Centre National de la Recherche Scientifique

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Abstract: In this paper, we propose to use elements of the mathematical formalism of Quantum Mechanics to capture the idea that agents' preferences, in addition to being typically uncertain, can also be indeterminate. They are determined (i.e., realized, and not merely revealed) only when the action takes place. An agent is described by a state that is a superposition of potential types (or preferences or behaviors). This superposed state is projected (or "collapses") onto one of the possible behaviors at the time of the interaction. In addition to the main goal of modeling uncertainty of preferences that is not due to lack of information, this formalism seems to be adequate to describe widely observed phenomena of non-commutativity in patterns of behavior. We explore some implications of our approach in a comparison between classical and type indeterminate rational choice behavior. The potential of the approach is illustrated in two examples.

Keywords: Indeterminacy; Non-commutativity; Quantum state (search for similar items in EconPapers)
Date: 2009-10
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Published in Journal of Mathematical Psychology, 2009, 53 (5), pp.349-361. ⟨10.1016/j.jmp.2009.01.001⟩

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Related works:
Working Paper: Type indeterminacy - A Model of the KT(Khaneman Tversky)- Man (2009)
Working Paper: Type Indeterminacy: A Model of the KT(Kahneman-Tversky)-man (2003)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-00754333

DOI: 10.1016/j.jmp.2009.01.001

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