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The theorem of existence of ruptures in the probability scale

Author

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  • Alexander Harin

    (Modern University for the Humanities)

Abstract

The report, that has been presented on the IX International Conference on Financial and Actuarial Mathematics, is devoted to the probability theory and economics. The theorems of existence of the ruptures near the borders of finite intervals and of the probability scale have been proved. The theorem of existence of the ruptures in the probability scale can assist, e.g., to solve paradoxes such as Allais paradox and the "four-fold-pattern" paradox.

Suggested Citation

  • Alexander Harin, 2010. "The theorem of existence of ruptures in the probability scale," Economics Bulletin, AccessEcon, vol. 30(2), pages 1-16.
    • Handle: RePEc:ebl:ecbull:eb-10-00350
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    File URL: http://www.accessecon.com/pubs/EB/2010/Volume30/EB-10-V30-I2-A16.pdf
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    Citations

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    Cited by:

    1. Harin, Alexander, 2011. "Theorem of existence of ruptures for mean values on finite numerical segments. Discrete case," MPRA Paper 35650, University Library of Munich, Germany.
    2. Harin, Alexander, 2011. "The theorem of existence of the ruptures in probability scale and the basic question of insurance," MPRA Paper 34780, University Library of Munich, Germany.
    3. Harin, Alexander, 2015. "An existence theorem for restrictions on the mean in the presence of a restriction on the dispersion," MPRA Paper 64646, University Library of Munich, Germany.
    4. Harin, Alexander, 2014. "Problems of utility and prospect theories. Certainty effect near certainty," MPRA Paper 61026, University Library of Munich, Germany.
    5. Harin, Alexander, 2010. "Theorem of existence of ruptures in probability scale. Preliminary short version," MPRA Paper 23319, University Library of Munich, Germany.
    6. Harin, Alexander, 2014. "Problems of utility and prospect theories. A discontinuity of Prelec’s function," MPRA Paper 61027, University Library of Munich, Germany.
    7. Harin, Alexander, 2014. "Is data interpretation in utility and prospect theories unquestionably correct?," MPRA Paper 53880, University Library of Munich, Germany.
    8. Harin, Alexander, 2014. "Problems of utility and prospect theories. A ”certain-uncertain” inconsistency of the random-lottery incentive system," MPRA Paper 55706, University Library of Munich, Germany.
    9. Alexander Harin, 2013. "Data dispersion near the boundaries: can it partially explain the problems of decision and utility theories?," Working Papers hal-00851022, HAL.
    10. Alexander HARIN, 2014. "Partially Unforeseen Events. Corrections and Correcting Formulae for Forecasts," Expert Journal of Economics, Sprint Investify, vol. 2(2), pages 69-79.

    More about this item

    Keywords

    probability; economics; forecasting; modeling; utility; decisions; uncertainty; risk;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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