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Quantum Decision Theory, Bounded Rationality and the Ellsberg Paradox

Author

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  • Mengxing Wei
  • Ali al-Nowaihi
  • Sanjit Dhami

Abstract

We test a simple quantum decision model of the Ellsberg paradox. We find that the theoretical predictions of the model are in conformity with our experimental results. The predictions of our quantum model are not statistically significantly different from those of the source dependent model. The source dependent model requires the specification of probability weighting functions in order to fit the evidence. On the other hand, our quantum model makes no recourse to probability weighting functions. This suggests that much of what is normally attributed to probability weighting may actually be due to quantum probability. When we replace quantum probability by Kolmogorov probability in our model, then the Ellsberg paradox reemerges. Hence, we make essential use of quantum probability theory. All our development uses no more than standard linear algebra and real numbers, which are very familiar to economists. This makes our paper accessible to a wider audience than the quantum community. JEL Classification: D01, D81, D91

Suggested Citation

  • Mengxing Wei & Ali al-Nowaihi & Sanjit Dhami, 2019. "Quantum Decision Theory, Bounded Rationality and the Ellsberg Paradox," Studies in Microeconomics, , vol. 7(1), pages 110-139, June.
    • Handle: RePEc:sae:miceco:v:7:y:2019:i:1:p:110-139
    DOI: 10.1177/2321022219845568
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    References listed on IDEAS

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    Cited by:

    1. Beinhocker, Eric & Dhami, Sanjit, 2019. "The Behavioral Foundations of New Economic Thinking," INET Oxford Working Papers 2019-13, Institute for New Economic Thinking at the Oxford Martin School, University of Oxford.
    2. Ivan S. Maksymov, 2024. "Quantum Mechanics of Human Perception, Behaviour and Decision-Making: A Do-It-Yourself Model Kit for Modelling Optical Illusions and Opinion Formation in Social Networks," Papers 2404.10554, arXiv.org.

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    More about this item

    Keywords

    Quantum probability; Ellsberg paradox; source dependent model; projective expected utility; bounded rationality;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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