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- handle: 10670/1.08npu1
- halshs: halshs-01885415
- doi: 10.1007/s11238-018-9659-7
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info:eu-repo/semantics/altIdentifier/doi/10.1007/s11238-018-9659-7
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Vladimir Ivanovitch Danilov et al., « Dynamic consistency of expected utility under non-classical (quantum) uncertainty », HAL-SHS : économie et finance, ID : 10.1007/s11238-018-9659-7
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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.