Processing Information in Quantum Decision Theory

TL;DR

This paper surveys Quantum Decision Theory, a novel framework using quantum mechanics principles to model complex decision processes, including superposition and entanglement, avoiding classical paradoxes.

Contribution

It summarizes recent advances in quantum decision modeling, highlighting how it captures superposition, entanglement, and contextual effects in decision making.

Findings

Quantum decision theory models superposition of prospects.

It explains entangled decision making and non-commutativity.

Classical decision theory emerges as a limit of quantum theory.

Abstract

A survey is given summarizing the state of the art of describing information processing in Quantum Decision Theory, which has been recently advanced as a novel variant of decision making, based on the mathematical theory of separable Hilbert spaces. This mathematical structure captures the effect of superposition of composite prospects, including many incorporated intended actions. The theory characterizes entangled decision making, non-commutativity of subsequent decisions, and intention interference. The self-consistent procedure of decision making, in the frame of the quantum decision theory, takes into account both the available objective information as well as subjective contextual effects. This quantum approach avoids any paradox typical of classical decision theory. Conditional maximization of entropy, equivalent to the minimization of an information functional, makes it possible to connect the quantum and classical decision theories, showing that the latter is the limit of the former under vanishing interference terms.