# Quantum Uncertainty in Decision Theory

arXiv: https://arxiv.org/abs/2105.07877 · HTML: https://mlsanity.com/paper/2105.07877/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 6 of its 29 references that are in the map.
- First posted on arXiv 10 May 2021.

## Builds on (most cited first, 6 of 6)

- [Thinking Fast and Slow: Optimization Decomposition Across Timescales](https://mlsanity.com/paper/1704.07785/) (2017)
- [Quantum-like models cannot account for the conjunction fallacy](https://mlsanity.com/paper/1606.03430/) (2015)
- [Evolutionary Processes in Quantum Decision Theory](https://mlsanity.com/paper/2006.16763/) (2020)
- [Testing quantum-like models of judgment for question order effect](https://mlsanity.com/paper/1501.04901/) (2015)
- [Quantum Probabilities as Behavioral Probabilities](https://mlsanity.com/paper/1703.05691/) (2017)
- [Tossing Quantum Coins and Dice](https://mlsanity.com/paper/2103.17007/) (2021)

## Built on by (most cited first, 1 of 1)

- [Quantum Operation of Affective Artificial Intelligence](https://mlsanity.com/paper/2305.08112/) (2023)

## Abstract (arXiv)

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.