IDEAS home Printed from https://ideas.repec.org/a/emx/esteco/v38y2023i1p167-181.html
   My bibliography  Save this article

A note about the different characterizations of the expected utility theorem/Una nota sobre las diferentes caracterizaciones del teorema de la utilidad esperada

Author

Listed:
  • Karla Flores Zarur

    (Facultad de Ciencias, Universidad Autónoma de San Luis Potosí)

  • William José Olvera López

    (Facultad de Economía, Universidad Autónoma de San Luis Potosí)

  • Leobardo Plata Pérez

    (Facultad de Economía, Universidad Autónoma de San Luis Potosí)

Abstract

In this work, we prove the axiomatic equivalence of several characterizations of the Expected Utility Theorem proposed by Mas-Colell et al. (1995), Jehle and Reny (2011), Maschler et al. (2013), and Rubinstein (2012). A general language is used for unifying the notation, and we introduce a recursive definition of the lottery space in the expected utility theory.

Suggested Citation

  • Karla Flores Zarur & William José Olvera López & Leobardo Plata Pérez, 2023. "A note about the different characterizations of the expected utility theorem/Una nota sobre las diferentes caracterizaciones del teorema de la utilidad esperada," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 38(1), pages 167-181.
  • Handle: RePEc:emx:esteco:v:38:y:2023:i:1:p:167-181
    as

    Download full text from publisher

    File URL: https://estudioseconomicos.colmex.mx/index.php/economicos/article/view/439
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. David Cantalá, 2007. "Preferences for Shifts in Probabilities and Expected Utility Theory," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 22(1), pages 99-109.
    2. Ariel Rubinstein, 2012. "Lecture Notes in Microeconomic Theory: The Economic Agent Second Edition," Economics Books, Princeton University Press, edition 2, number 9742.
    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. Gilles, Robert P. & Pesce, Marialaura & Diamantaras, Dimitrios, 2020. "The provision of collective goods through a social division of labour," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 287-312.
    2. Manipushpak Mitra & Debapriya Sen, 2022. "A microeconomic analysis of subsistence," Indian Economic Review, Springer, vol. 57(2), pages 301-320, December.
    3. Wilson Cruz Vieira & Alberto Bucci & Simone Marsiglio, 2021. "Welfare and Convergence Speed in the Ramsey Model Under Two Classes of Gorman Preferences," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 7(1), pages 37-58, March.
    4. Mridu Prabal Goswami & Manipushpak Mitra & Debapriya Sen, 2022. "A Characterization of Lexicographic Preferences," Decision Analysis, INFORMS, vol. 19(2), pages 170-187, June.
    5. João V. Ferreira & Nicolas Gravel, 2017. "Choice with Time," AMSE Working Papers 1729, Aix-Marseille School of Economics, France.
    6. Yurii Nesterov & Vladimir Shikhman, 2017. "Distributed Price Adjustment Based on Convex Analysis," Journal of Optimization Theory and Applications, Springer, vol. 172(2), pages 594-622, February.
    7. Krzysztof Kontek & Michal Lewandowski, 2018. "Range-Dependent Utility," Management Science, INFORMS, vol. 64(6), pages 2812-2832, June.
    8. Royi Jacobovic, 2022. "Regulation of a single-server queue with customers who dynamically choose their service durations," Queueing Systems: Theory and Applications, Springer, vol. 101(3), pages 245-290, August.
    9. Michał Lewandowski, 2017. "Prospect Theory Versus Expected Utility Theory: Assumptions, Predictions, Intuition and Modelling of Risk Attitudes," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 9(4), pages 275-321, December.
    10. Rachel Cummings & Federico Echenique & Adam Wierman, 2016. "The Empirical Implications of Privacy-Aware Choice," Operations Research, INFORMS, vol. 64(1), pages 67-78, February.
    11. Yann Rébillé, 2017. "An axiomatization of continuous quasilinear utility," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 301-315, November.
    12. Breitmoser, Yves & Vorjohann, Pauline, 2018. "Welfare-Based Altruism," Rationality and Competition Discussion Paper Series 89, CRC TRR 190 Rationality and Competition.
    13. Somdeb Lahiri, 2019. "On a Theorem due to Alan D. Taylor about Aggregation of Preferences," Arthaniti: Journal of Economic Theory and Practice, , vol. 18(1), pages 17-31, June.
    14. Breitmoser, Yves & Vorjohann, Pauline, 2022. "Fairness-based Altruism," Center for Mathematical Economics Working Papers 666, Center for Mathematical Economics, Bielefeld University.

    More about this item

    Keywords

    expected utility theory; lottery space; axiomatic equivalence;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D00 - Microeconomics - - General - - - General
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

    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:emx:esteco:v:38:y:2023:i:1:p:167-181. 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: Ximena Varela (email available below). General contact details of provider: https://edirc.repec.org/data/cecolmx.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.