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Article Dans Une Revue Theory and Decision Année : 2018

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

Résumé

Quantum cognition in decision making is a recent and rapidly growing field. In this paper, we develop an 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 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 Neumann–Lüders postulate applied to beliefs. A dynamically consistent quantum-like agent may violate dynamic recursive consistency, however. This feature suggests interesting applications in behavioral economics as we illustrate in an example of persuasion.

Dates et versions

halshs-01885415 , version 1 (01-10-2018)

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Vladimir Ivanovitch Danilov, Ariane Lambert-Mogiliansky, Vassili Vergopoulos. Dynamic consistency of expected utility under non-classical (quantum) uncertainty. Theory and Decision, 2018, 84 (4), pp.645 - 670. ⟨10.1007/s11238-018-9659-7⟩. ⟨halshs-01885415⟩
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