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Quantum-Like Representation of Irrational Inference

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Quantum Interaction (QI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7620))

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Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Information Sciences, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba, 278-8510, Japan

    Masanari Asano & Masanori Ohya

  2. International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, S-35195, Växjö, Sweden

    Irina Basieva, Andrei Khrennikov & Yoshiharu Tanaka

Authors
  1. Masanari Asano
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  2. Irina Basieva
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  3. Andrei Khrennikov
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  4. Masanori Ohya
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  5. Yoshiharu Tanaka
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Editor information

Editors and Affiliations

  1. Indiana University, 47405, Bloomington, IN, USA

    Jerome R. Busemeyer

  2. Conservatoire National des Arts et M’etiers, 75003, Paris, France

    François Dubois

  3. Paris School of Economics, 75014, Paris, France

    Ariane Lambert-Mogiliansky

  4. University of Padua, 35131, Padua, Italy

    Massimo Melucci

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Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y. (2012). Quantum-Like Representation of Irrational Inference. In: Busemeyer, J.R., Dubois, F., Lambert-Mogiliansky, A., Melucci, M. (eds) Quantum Interaction. QI 2012. Lecture Notes in Computer Science, vol 7620. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35659-9_13

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  • DOI: https://doi.org/10.1007/978-3-642-35659-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35658-2

  • Online ISBN: 978-3-642-35659-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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