IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v8y2008i1n12.html
   My bibliography  Save this article

Revisiting Independence and Stochastic Dominance for Compound Lotteries

Author

Listed:
  • Zimper Alexander

    (University of Johannesburg, zimper@bigfoot.com)

Abstract

We establish mathematical equivalence between independence of irrelevant alternatives and monotonicity with respect to first order stochastic dominance. This formal equivalence result between the two principles is obtained under two key conditions. Firstly, for all natural numbers m, each principle is defined on the domain of compound lotteries with compoundness level m. Secondly, the standard concept of reduction of compound lotteries applies.

Suggested Citation

  • Zimper Alexander, 2008. "Revisiting Independence and Stochastic Dominance for Compound Lotteries," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-11, April.
    • Handle: RePEc:bpj:bejtec:v:8:y:2008:i:1:n:12
    DOI: 10.2202/1935-1704.1444
    as

    Download full text from publisher

    File URL: https://doi.org/10.2202/1935-1704.1444
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.2202/1935-1704.1444?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Baccelli, Jean & Hartmann, Lorenz, 2023. "The Sure-Thing Principle," Journal of Mathematical Economics, Elsevier, vol. 109(C).

    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. van den Bergh, J.C.J.M. & Botzen, W.J.W., 2015. "Monetary valuation of the social cost of CO2 emissions: A critical survey," Ecological Economics, Elsevier, vol. 114(C), pages 33-46.
    2. Peter John Robinson & W. J. Wouter Botzen, 2022. "Setting descriptive norm nudges to promote demand for insurance against increasing climate change risk," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 47(1), pages 27-49, January.
    3. Breaban, Adriana & van de Kuilen, Gijs & Noussair, Charles, 2016. "Prudence, Personality, Cognitive Ability and Emotional State," Other publications TiSEM 9a01a5ab-e03d-49eb-9cd7-4, Tilburg University, School of Economics and Management.
    4. Francesco GUALA, 2017. "Preferences: Neither Behavioural nor Mental," Departmental Working Papers 2017-05, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    5. James Andreoni & Charles Sprenger, 2012. "Risk Preferences Are Not Time Preferences," American Economic Review, American Economic Association, vol. 102(7), pages 3357-3376, December.
    6. Filiz-Ozbay, Emel & Guryan, Jonathan & Hyndman, Kyle & Kearney, Melissa & Ozbay, Erkut Y., 2015. "Do lottery payments induce savings behavior? Evidence from the lab," Journal of Public Economics, Elsevier, vol. 126(C), pages 1-24.
    7. Roos, Michael W. M., 2015. "The macroeconomics of radical uncertainty," Ruhr Economic Papers 592, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    8. Harrison, Glenn W., 2008. "Neuroeconomics: A Critical Reconsideration," Economics and Philosophy, Cambridge University Press, vol. 24(3), pages 303-344, November.
    9. H Zank, 2004. "Deriving Rank-Dependent Expected Utility Through Probabilistic Consistency," Economics Discussion Paper Series 0409, Economics, The University of Manchester.
    10. Krzysztof Kontek & Michal Lewandowski, 2018. "Range-Dependent Utility," Management Science, INFORMS, vol. 64(6), pages 2812-2832, June.
    11. Lex Borghans & Angela Lee Duckworth & James J. Heckman & Bas ter Weel, 2008. "The Economics and Psychology of Personality Traits," Journal of Human Resources, University of Wisconsin Press, vol. 43(4).
    12. Dagsvik, John K., 2015. "Stochastic models for risky choices: A comparison of different axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 81-88.
    13. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    14. Steffen Huck & Wieland Müller, 2012. "Allais for all: Revisiting the paradox in a large representative sample," Journal of Risk and Uncertainty, Springer, vol. 44(3), pages 261-293, June.
    15. Chua, Jess H. & Chrisman, James J. & De Massis, Alfredo & Wang, Hao, 2018. "Reflections on family firm goals and the assessment of performance," Journal of Family Business Strategy, Elsevier, vol. 9(2), pages 107-113.
    16. Alexia Gaudeul, 2009. "A (Micro) Course in Microeconomic Theory for MSc Students," Working Papers id:1986, eSocialSciences.
    17. Bleichrodt, Han & Filko, Martin, 2008. "New tests of QALYs when health varies over time," Journal of Health Economics, Elsevier, vol. 27(5), pages 1237-1249, September.
    18. 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.
    19. Thomas Epper & Helga Fehr-Duda, 2012. "The missing link: unifying risk taking and time discounting," ECON - Working Papers 096, Department of Economics - University of Zurich, revised Oct 2018.
    20. Nathalie Etchart-Vincent, 2009. "Probability weighting and the ‘level’ and ‘spacing’ of outcomes: An experimental study over losses," Journal of Risk and Uncertainty, Springer, vol. 39(1), pages 45-63, August.

    More about this item

    Keywords

    ;

    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:bpj:bejtec:v:8:y:2008:i:1:n:12. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyterbrill.com .

    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.