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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Quantum-Like Representation of Irrational Inference
verfasst von : Masanari Asano, Irina Basieva, Andrei Khrennikov, Masanori Ohya, Yoshiharu Tanaka
Erschienen in: Quantum Interaction
Verlag: Springer Berlin Heidelberg
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In this paper we develop a general quantum-like representation of decision making. Here
quantum-like representation
is based on linear algebra, the von Neumann-Lüders projection postulate, Born’s rule, and the quantum representation of the state space of a composite system by the tensor product. Our approach generalizes in a natural way the classical Bayesian inference and explains irrational (non-Bayesian) inference biased by psychological factors. For the mathematical description of irrational inference, we use the
lifting map
, which is important concept to discuss a general quantum dynamics called adaptive dynamics.