IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/35650.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/35650/1/MPRA_paper_35650.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alexander Harin, 2010. "The theorem of existence of ruptures in the probability scale," Economics Bulletin, AccessEcon, vol. 30(2), pages 1-16.
    2. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-1280, November.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Harin, Alexander, 2014. "Problems of utility and prospect theories. A discontinuity of Prelec’s function," MPRA Paper 61027, University Library of Munich, Germany.
    2. Alexander Harin, 2013. "Data dispersion near the boundaries: can it partially explain the problems of decision and utility theories?," Working Papers hal-00851022, HAL.
    3. 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.
    4. 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.
    5. Harin, Alexander, 2014. "Is data interpretation in utility and prospect theories unquestionably correct?," MPRA Paper 53880, University Library of Munich, Germany.
    6. Harin, Alexander, 2014. "Problems of utility and prospect theories. Certainty effect near certainty," MPRA Paper 61026, University Library of Munich, Germany.
    7. Alexander HARIN, 2014. "Partially Unforeseen Events. Corrections and Correcting Formulae for Forecasts," Expert Journal of Economics, Sprint Investify, vol. 2(2), pages 69-79.
    8. Harin, Alexander, 2015. "An existence theorem for bounds on the expectation of a random variable. Its opportunities for utility theories. V. 2," MPRA Paper 67071, University Library of Munich, Germany.
    9. Harin, Alexander, 2015. "Is Prelec’s function discontinuous at p = 1? (for the Einhorn Award of SJDM)," MPRA Paper 64672, University Library of Munich, Germany.
    10. Harin, Alexander, 2013. "A non-zero dispersion leads to the non-zero bias of mean," MPRA Paper 47559, University Library of Munich, Germany.
    11. Harin, Alexander, 2010. "Theorem of existence of ruptures in probability scale. Preliminary short version," MPRA Paper 23319, University Library of Munich, Germany.
    12. Mellár, Tamás, 2010. "Válaszút előtt a makroökonómia? [Does macroeconomics face a dilemma?]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 591-611.
    13. Harin, Alexander, 2006. "Scientific Revolution? A Farewell to EconWPA. MPRA is welcome," MPRA Paper 71, University Library of Munich, Germany.
    14. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    15. Carter, Steven & McBride, Michael, 2013. "Experienced utility versus decision utility: Putting the ‘S’ in satisfaction," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 42(C), pages 13-23.
    16. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
    17. Houba, Harold & Tieman, Alexander F. & Brinksma, Rene, 1998. "The Nash bargaining solution for decision weight utility functions," Economics Letters, Elsevier, vol. 60(1), pages 41-48, July.
    18. Collewet, M.M.F. & de Grip, A. & Koning, J.d., 2015. "Peer working time, labour supply, and happiness for male workers," ROA Research Memorandum 006, Maastricht University, Research Centre for Education and the Labour Market (ROA).
    19. Duclos, Jean-Yves, 2006. "Liberté ou égalité?," L'Actualité Economique, Société Canadienne de Science Economique, vol. 82(4), pages 441-476, décembre.
    20. Foster, Gigi & Frijters, Paul & Schaffner, Markus & Torgler, Benno, 2018. "Expectation formation in an evolving game of uncertainty: New experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 154(C), pages 379-405.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:35650. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.