Quantum Uncertainty in Decision Theory

TL;DR

This paper introduces a quantum probabilistic framework for decision theory, providing new definitions and analyses that better capture complex decision-making behaviors influenced by psychological effects.

Contribution

It develops a novel quantum-based approach to decision theory, extending classical models to incorporate irrational and behavioral factors.

Findings

Quantum probabilities effectively model complex decision scenarios.

Quantum approach captures psychological behavioral effects.

Comparison shows quantum probabilities are more powerful than classical ones.

Abstract

An approach is presented treating decision theory as a probabilistic theory based on quantum techniques. Accurate definitions are given and thorough analysis is accomplished for the quantum probabilities describing the choice between separate alternatives, sequential alternatives characterizing conditional quantum probabilities, and behavioral quantum probabilities taking into account rational-irrational duality of decision making. The comparison between quantum and classical probabilities is explained. The analysis demonstrates that quantum probabilities serve as an essentially more powerful tool of characterizing various decision-making situations including the influence of psychological behavioral effects.