Quantum-Like Representation of Irrational Inference

  • Masanari Asano
  • Irina Basieva
  • Andrei Khrennikov
  • Masanori Ohya
  • Yoshiharu Tanaka
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7620)


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.


quantum-like cognitive model (non-)Bayesian inference lifting map 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Masanari Asano
    • 1
  • Irina Basieva
    • 2
  • Andrei Khrennikov
    • 2
  • Masanori Ohya
    • 1
  • Yoshiharu Tanaka
    • 2
  1. 1.Department of Information SciencesTokyo University of ScienceNoda-shiJapan
  2. 2.International Center for Mathematical Modeling in Physics and Cognitive SciencesLinnaeus UniversityVäxjöSweden

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