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Theorem of existence of ruptures for mean values on finite numerical segments. Discrete case

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  • Harin, Alexander

Abstract

The proof of the theorem of existence of the ruptures, namely the proof of maximality, is improved. The theorem may be used in economics and explain the well-known problems such as Allais’ paradox. Illustrated examples of ruptures are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:35650
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    References listed on IDEAS

    as
    1. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-1280, November.
    2. Daniel Kahneman & Richard H. Thaler, 2006. "Anomalies: Utility Maximization and Experienced Utility," Journal of Economic Perspectives, American Economic Association, vol. 20(1), pages 221-234, Winter.
    3. Alexander Harin, 2010. "The theorem of existence of ruptures in the probability scale," Economics Bulletin, AccessEcon, vol. 30(2), pages 1-16.
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    More about this item

    Keywords

    utility; utility theory; probability; uncertainty; decisions; economics; Allais paradox; risk aversion;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C0 - Mathematical and Quantitative Methods - - General
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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