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Quantum Bayesianism as the basis of general theory of decision-making
1International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, Växjö-Kalmar, Sweden andrei.khrennikov@lnu.se.
Abstract:
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 and its quantum generalizations. Classically, this type of conditioning and corresponding probability update is based on the formula of total probability-one the basic laws of classical probability theory.
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