Quantum Bayesianism as the basis of general theory of decision-making

@article{Khrennikov2016QuantumBA,
  title={Quantum Bayesianism as the basis of general theory of decision-making},
  author={Andrei Yu. Khrennikov},
  journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2016},
  volume={374}
}
  • A. Khrennikov
  • Published 28 May 2016
  • Physics
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
We discuss the subjective probability interpretation of the quantum-like approach to decision making and more generally to cognition. Our aim is to adopt the subjective probability interpretation of quantum mechanics, quantum Bayesianism (QBism), to serve quantum-like modelling and applications of quantum probability outside of physics. We analyse the classical and quantum probabilistic schemes of probability update, learning and decision-making and emphasize the role of Jeffrey conditioning… 
Basics of Quantum Theory for Quantum-Like Modeling Information Retrieval
  • A. Khrennikov
  • Physics
    STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
  • 2019
TLDR
This chapter contains a brief introduction to the mathematical formalism and axiomatics of quantum mechanics (QM), and the quantum treatment of incompatible observables represented mathematically by noncommuting Hermitian operators.
Quantum and Classical Bayesian Agents
We describe a general approach to modeling rational decision-making agents who adopt either quantum or classical mechanics based on the Quantum Bayesian (QBist) approach to quantum theory. With the
A model of adaptive decision-making from representation of information environment by quantum fields
TLDR
The quantum-like interference effect in DM is exhibited as a violation of the formula of total probability, and hence the classical Bayesian inference scheme is demonstrated, and quantum Bayesianism is appealed to.
Quantum-Like Cognition and Rationality: Biological and Artificial Intelligence Systems
TLDR
The aim of the review is to present briefly the apparatus of quantum information and probability theory useful for quantum-like modeling of cognition with applications to decision making and rationality, and to motivate applications of this apparatus in cognitive studies and artifical intelligence, psychology, decision making, social and political sciences.
Quantum Rational Preferences and Desirability
TLDR
A representation theorem is given showing that quantum complete rational preferences are obtained by means of expected utility considerations in the space of Hermitian matrices.
Extending the Agent in QBism
TLDR
Questions about how QBism accounts for the fact that instruments must be calibrated before they can be used to `sense' anything, and is the agent `incoherent' if they prefer to use a less precise instrument are provided.
Quantum Bayesian perspective for intelligence reservoir characterization, monitoring and management
TLDR
Quantum Bayesianism (QBism), one of the recently developed information interpretations of quantum theory, can be used as the interpretational basis for such QP decision-making in geology, geophysics and petroleum projects design and management.
From axiomatics of quantum probability to modelling geological uncertainty and management of intelligent hydrocarbon reservoirs with the theory of open quantum systems
TLDR
The process of decision-making about hydrocarbon reservoirs is modelled by using the Gorini–Kossakowski–Sudarshan–Lindblad equation, which describes the evolution of experts' predictions about a geophysical structure.
...
...

References

SHOWING 1-10 OF 69 REFERENCES
Quantum probabilities as Bayesian probabilities
In the Bayesian approach to probability theory, probability quantifies a degree of belief for a single trial, without any a priori connection to limiting frequencies. In this paper, we show that,
Quantum-Bayesian Coherence
TLDR
It is argued that the Born Rule should be seen as an empirical addition to Bayesian reasoning itself, and how to view it as a normative rule in addition to usual Dutch-book coherence is shown.
Quantum Models of Cognition and Decision
TLDR
The foundations for modelling probabilistic-dynamic systems using two aspects of quantum theory, 'contextuality' and 'quantum entanglement', are introduced, which allow cognitive phenomena to be modeled in non-reductionist ways.
Vaxjo Interpretation of Quantum Mechanics
We present critical arguments against individual interpretation of Bohr’s complementarity and Heisenberg’s uncertainty principles. Statistical interpretation of these principles is discussed in the
Contextual Approach to Quantum Formalism
The aim of this book is to show that the probabilistic formalisms of classical statistical mechanics and quantum mechanics can be unified on the basis of a general contextual probabilistic model. By
Why I am not a QBist
TLDR
This work states that QBists claim that most if not all conceptual problems of quantum mechanics vanish if the authors simply take a proper epistemic and probabilistic perspective, and explains why this judgement is largely subjective and logically consistent.
Ubiquitous Quantum Structure: From Psychology to Finance
Quantum-like Paradigm.- Classical (Kolmogorovian) and Quantum (Born) Probability.- Contextual Probabilistic Model #x2013 V#x00E4 xj#x00F6 Model.- Quantum-like Representation Algorithm #x002D QLRA.-
...
...