Dynamic consistency of expected utility under non-classical(quantum) uncertainty

Vladimir Danilov (), Ariane Lambert-Mogiliansky and Vassili Vergopoulos ()
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Vassili Vergopoulos: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - 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

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Abstract: Quantum cognition is a recent and rapidely growing field. In this paper we developan expected utility theory in a context of non-classical (quantum) uncertainty. We replace the classical state space with a Hilbert space which allows introducing the concept of quantum lottery. Within that framework we formulate sufficient and necessary axioms on preferences over quantum lotteries to establish a representation theorem. We show that demanding the consistency of choice behavior conditional on new information is equivalent to the von Neuman-Luders postulate applied to beliefs. In our context, dynamic consistency is shown not to secure Savage's Sure Thing Principle (in its dynamic version). Finally, we discuss the interpretation and value of our results for rationality and behavioral economics.

Keywords: Quantum; cognition (search for similar items in EconPapers)
Date: 2016-05
New Economics Papers: this item is included in nep-upt
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01324046v1
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Citations: View citations in EconPapers (3)

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Related works:
Journal Article: Dynamic consistency of expected utility under non-classical (quantum) uncertainty (2018)
Working Paper: Dynamic consistency of expected utility under non-classical (quantum) uncertainty (2018)
Working Paper: Dynamic consistency of expected utility under non-classical (quantum) uncertainty (2018)
Working Paper: Dynamic consistency of expected utility under non-classical (quantum) uncertainty (2018)
Working Paper: Dynamic consistency of expected utility under non-classical(quantum) uncertainty (2016)
Working Paper: Dynamic consistency of expected utility under non-classical(quantum) uncertainty (2016)
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