IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v76y2023i2d10.1007_s00199-022-01464-y.html
   My bibliography  Save this article

Expected utility in Savage’s framework without the completeness axiom

Author

Listed:
  • Dino Borie

    (CY Cergy Paris Université)

Abstract

This paper extends the subjective expected utility model of decision making under uncertainty to include incomplete beliefs and tastes in Savage’s framework. The main result is an axiomatization of the subjective multi-prior expected multi-utility representations of preference relations under uncertainty. In contrast with the existing works, the setup allows for flexibility regarding the outcome space. The approach of this paper also provides theoretical foundations for subjective Knightian uncertainty and the expected multi-utility model with complete beliefs.

Suggested Citation

  • Dino Borie, 2023. "Expected utility in Savage’s framework without the completeness axiom," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 525-550, August.
    • Handle: RePEc:spr:joecth:v:76:y:2023:i:2:d:10.1007_s00199-022-01464-y
    DOI: 10.1007/s00199-022-01464-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-022-01464-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00199-022-01464-y?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    2. Faro, José Heleno, 2015. "Variational Bewley preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 699-729.
    3. Gil Riella, 2015. "On the representation of incomplete preferences under uncertainty with indecisiveness in tastes and beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(3), pages 571-600, April.
    4. Nehring, Klaus, 2009. "Imprecise probabilistic beliefs as a context for decision-making under ambiguity," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1054-1091, May.
    5. Efe A. Ok & Pietro Ortoleva & Gil Riella, 2012. "Incomplete Preferences Under Uncertainty: Indecisiveness in Beliefs versus Tastes," Econometrica, Econometric Society, vol. 80(4), pages 1791-1808, July.
    6. Robert G. Chambers & Tigran Melkonyan & John Quiggin, 2022. "Incomplete preferences, willingness to pay, and willingness to accept," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(3), pages 727-761, October.
    7. Tsogbadral Galaabaatar & Edi Karni, 2013. "Subjective Expected Utility With Incomplete Preferences," Econometrica, Econometric Society, vol. 81(1), pages 255-284, January.
    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. Robert G. Chambers & Tigran Melkonyan & John Quiggin, 2022. "Incomplete preferences, willingness to pay, and willingness to accept," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(3), pages 727-761, October.
    2. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    3. Minardi, Stefania & Savochkin, Andrei, 2015. "Preferences with grades of indecisiveness," Journal of Economic Theory, Elsevier, vol. 155(C), pages 300-331.
    4. Hill, Brian, 2016. "Incomplete preferences and confidence," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 83-103.
    5. Brian Hill, 2011. "Deferral, incomplete preferences and confidence," Working Papers hal-00625420, HAL.
    6. Faro, José Heleno & Lefort, Jean-Philippe, 2019. "Dynamic objective and subjective rationality," Theoretical Economics, Econometric Society, vol. 14(1), January.
    7. Dana, Rose-Anne & Riedel, Frank, 2013. "Intertemporal equilibria with Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1582-1605.
    8. Eric Danan, 2021. "Partial utilitarianism," Working Papers hal-03327900, HAL.
    9. Ganguli, Jayant & Heifetz, Aviad & Lee, Byung Soo, 2016. "Universal interactive preferences," Journal of Economic Theory, Elsevier, vol. 162(C), pages 237-260.
    10. Simone Cerreia-Vioglio & Alfio Giarlotta & Salvatore Greco & Fabio Maccheroni & Massimo Marinacci, 2020. "Rational preference and rationalizable choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 61-105, February.
    11. Faro, José Heleno, 2015. "Variational Bewley preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 699-729.
    12. Gerasimou, Georgios, 2018. "On the indifference relation in Bewley preferences," Economics Letters, Elsevier, vol. 164(C), pages 24-26.
    13. Ellsaesser, Florian & Fioretti, Guido, 2022. "Deciding Not To Decide," MPRA Paper 111546, University Library of Munich, Germany.
    14. Nascimento, Leandro & Riella, Gil, 2011. "A class of incomplete and ambiguity averse preferences," Journal of Economic Theory, Elsevier, vol. 146(2), pages 728-750, March.
    15. Yoram Halevy & David Walker-Jones & Lanny Zrill, 2023. "Difficult Decisions," Working Papers tecipa-753, University of Toronto, Department of Economics.
    16. Robert Nau, 2011. "Risk, ambiguity, and state-preference theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 437-467, October.
    17. Kazuhiro Hara & Gil Riella, 2023. "Multiple tastes and beliefs with an infinite prize space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 417-444, August.
    18. José Heleno Faro & Ana Santos, 2023. "Updating variational (Bewley) preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 207-228, January.
    19. Stoye, Jörg, 2015. "Choice theory when agents can randomize," Journal of Economic Theory, Elsevier, vol. 155(C), pages 131-151.
    20. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.

    More about this item

    Keywords

    Subjective expected utility; Incomplete preferences; Multiple beliefs; Multiple tastes;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:spr:joecth:v:76:y:2023:i:2:d:10.1007_s00199-022-01464-y. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.