Dynamic consistency of expected utility under non-classical (quantum) uncertainty
Journal article: 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.
Author(s)
Vladimir Ivanovitch Danilov, Ariane Lambert-Mogiliansky, Vassili Vergopoulos
Journal
- Theory and Decision
Date of publication
- 2018
Keywords
- Quantum lottery
- Decision-making
- Uncertainty
- Dynamic consistency
Pages
- 645 – 670
URL of the HAL notice
Version
- 1
Volume
- 84