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Forbidden zones for the expectation. New mathematical results for behavioral and social sciences

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  • Harin, Alexander

Abstract

A forbidden zones theorem, mathematical approach and model are proposed in the present article. In particular, the approach supposes that people decide as if there were some biases of the expectations of measurement data. The article is motivated by the need of a theoretical support for the practical analysis performed for the purposes of utility and prospect theories, behavioral economics, psychology, decision and social sciences. Possible general consequences and applications of the theorem and approach for a noise and biases of measurement data are preliminary considered as well.

Suggested Citation

  • Harin, Alexander, 2018. "Forbidden zones for the expectation. New mathematical results for behavioral and social sciences," MPRA Paper 86650, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:86650
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    References listed on IDEAS

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    Cited by:

    1. Harin, Alexander, 2023. "To solve old problems of economics. The experimental background," MPRA Paper 117157, University Library of Munich, Germany.
    2. Harin, Alexander, 2019. "Forbidden zones for the expectations of measurement data and problems of behavioral economics," MPRA Paper 91368, University Library of Munich, Germany.
    3. Alexander Harin, 2022. "Forbidden Zones for the Expectations of Data: New Mathematical Methods and Models for Behavioral Economics," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 8(1), pages 12-26, 12-2021.
    4. Harin, Alexander, 2020. "Macroscopic analogs of quantum-mechanical phenomena and auto-transformations of functions," MPRA Paper 104188, University Library of Munich, Germany.
    5. Harin, Alexander, 2020. "Behavioral sciences and auto-transformations of functions," MPRA Paper 99286, University Library of Munich, Germany.
    6. Alexander Harin, 2021. "Auto-Transformations of the Probability Density Functions," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 7(3), pages 167-178, 07-2021.
    7. Harin, Alexander, 2018. "Inequalities and zones. New mathematical results for behavioral and social sciences," MPRA Paper 90326, University Library of Munich, Germany.
    8. Harin, Alexander, 2021. "Behavioral economics. Forbidden zones. New method and models," MPRA Paper 106545, University Library of Munich, Germany.
    9. Harin, Alexander, 2019. "Behavioral sciences and auto-transformations. Introduction," MPRA Paper 97344, University Library of Munich, Germany.

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    More about this item

    Keywords

    probability; variance; noise; bias; measurement; utility theory; prospect theory; behavioral economics; psychology; decision sciences; social sciences;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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