Quantum Uncertainty in Decision Theory
This work addresses decision theory for researchers by introducing a novel quantum-based approach, though it appears incremental as it builds on existing quantum techniques.
The paper tackles the problem of modeling decision-making by applying quantum probability theory, demonstrating that quantum probabilities provide a more powerful tool for characterizing various decision-making situations, including psychological behavioral effects.
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.