Vladimir V. Danilov | Searcharxiv

arXiv2018

Preparing a (quantum) belief system

In this paper we investigate the potential for persuasion linked to the quantum indeterminacy of beliefs. We first formulate the persuasion problem in the context of quantum-like beliefs. We provide an economic example of belief manipulation that illustrates the setting. We next establish a theoretical result showing that in the absence of constraints on measurements, any state can be obtained as the result of a suitable sequence of measurements. We finally discuss the practical significance of our result in the context of persuasion. Keywords: belief, quantum-like, persuasion, measurement

physics.soc-ph↗

arXiv2017

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

Quantum cognition in decision-making is a recent and rapidely 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 Neuman-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.

physics.soc-ph↗