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

Andrei Khrennikov | Zendy

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

Author(s) -

Andrei Khrennikov

Publication year - 2016

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2015.0245

Subject(s) - quantum probability , probability amplitude , probabilistic logic , quantum , probability theory , consistent histories , decision theory , interpretations of quantum mechanics , statistical physics , law of total probability , probability distribution , mathematics , quantum process , computer science , quantum mechanics , physics , quantum dynamics , artificial intelligence , posterior probability , bayesian probability , statistics

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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