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Processing Information in Quantum Decision Theory
Department of Management, Technology and Economics, ETH Zürich, Zürich CH-8032, Switzerland
Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia
Swiss Finance Institute, c/o University of Geneva, 40 blvd. Du Pont d’Arve, CH 1211 Geneva 4, Switzerland
* Author to whom correspondence should be addressed.
Received: 28 October 2009 / Accepted: 10 December 2009 / Published: 14 December 2009
Abstract: A survey is given summarizing the state of the art of describing information processing in Quantum Decision Theory, which has been recently advanced as a novel variant of decision making, based on the mathematical theory of separable Hilbert spaces. This mathematical structure captures the effect of superposition of composite prospects, including many incorporated intended actions. The theory characterizes entangled decision making, non-commutativity of subsequent decisions, and intention interference. The self-consistent procedure of decision making, in the frame of the quantum decision theory, takes into account both the available objective information as well as subjective contextual effects. This quantum approach avoids any paradox typical of classical decision theory. Conditional maximization of entropy, equivalent to the minimization of an information functional, makes it possible to connect the quantum and classical decision theories, showing that the latter is the limit of the former under vanishing interference terms.
Keywords: quantum information processing; quantum decision making; entangled decisions; intention interference; decision non-commutativity; minimal information
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MDPI and ACS Style
Yukalov, V.I.; Sornette, D. Processing Information in Quantum Decision Theory. Entropy 2009, 11, 1073-1120.
Yukalov VI, Sornette D. Processing Information in Quantum Decision Theory. Entropy. 2009; 11(4):1073-1120.
Yukalov, Vyacheslav I.; Sornette, Didier. 2009. "Processing Information in Quantum Decision Theory." Entropy 11, no. 4: 1073-1120.