IDEAS home Printed from https://ideas.repec.org/p/gre/wpaper/2016-10.html
   My bibliography  Save this paper

Expected Multi-Utility Representations by "Simplex" with Applications

Author

Listed:
  • Dino Borie

    (GREDEG CNRS
    University of Nice Sophia Antipolis)

Abstract

We give sufficient conditions to characterize the class of (possibly incomplete) preference relations over lotteries which can be represented by a Bauer simplex of (continuous) expected utility functions that preserve both indifferences and strict preferences. Our result is applied to a model of stochastic choice with the measurement of random expected utility functions and to a model of subjective expected utility with subjective states of the world.

Suggested Citation

  • Dino Borie, 2016. "Expected Multi-Utility Representations by "Simplex" with Applications," GREDEG Working Papers 2016-10, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    • Handle: RePEc:gre:wpaper:2016-10
    as

    Download full text from publisher

    File URL: http://195.220.190.85/GREDEG-WP-2016-10.pdf
    File Function: First version, 2016
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Karni, Edi, 2006. "Subjective expected utility theory without states of the world," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 325-342, June.
    2. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    3. Juan Dubra & Fabio Maccheroni & Efe A. Ok, 2004. "Expected Utility Without the Completeness Axiom," Yale School of Management Working Papers ysm404, Yale School of Management.
    4. Pavlo Blavatskyy, 2012. "Probabilistic choice and stochastic dominance," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 59-83, May.
    5. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
    6. Faruk Gul & Wolfgang Pesendorfer, 2006. "Random Expected Utility," Econometrica, Econometric Society, vol. 74(1), pages 121-146, January.
    7. Blavatskyy, Pavlo R., 2008. "Stochastic utility theorem," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1049-1056, December.
    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. McClellon, Morgan, 2016. "Confidence models of incomplete preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 30-34.
    2. Karni, Edi & Safra, Zvi, 2016. "A theory of stochastic choice under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 164-173.
    3. Blume, Lawrence & Easley, David & Halpern, Joseph Y., 2021. "Constructive decision theory," Journal of Economic Theory, Elsevier, vol. 196(C).
    4. Liu Shi & Jianying Qiu & Jiangyan Li & Frank Bohn, 2024. "Consciously stochastic in preference reversals," Journal of Risk and Uncertainty, Springer, vol. 68(3), pages 255-297, June.
    5. Tigran Melkonyan & Zvi Safra, 2016. "Intrinsic Variability in Group and Individual Decision Making," Management Science, INFORMS, vol. 62(9), pages 2651-2667, September.
    6. Koida, Nobuo, 2022. "Indecisiveness, preference for flexibility, and a unique subjective state space," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    7. Stoye, Jörg, 2015. "Choice theory when agents can randomize," Journal of Economic Theory, Elsevier, vol. 155(C), pages 131-151.
    8. 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.
    9. Kraus, Alan & Sagi, Jacob S., 2006. "Inter-temporal preference for flexibility and risky choice," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 698-709, September.
    10. Leonardo Pejsachowicz & Séverine Toussaert, 2017. "Choice deferral, indecisiveness and preference for flexibility," Post-Print hal-02862199, HAL.
    11. Buturak, Gökhan & Evren, Özgür, 2017. "Choice overload and asymmetric regret," Theoretical Economics, Econometric Society, vol. 12(3), September.
    12. Eric Danan, 2021. "Partial utilitarianism," Working Papers hal-03327900, HAL.
    13. Marcus Pivato, 2020. "Subjective expected utility with a spectral state space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 249-313, March.
    14. Minardi, Stefania & Savochkin, Andrei, 2015. "Preferences with grades of indecisiveness," Journal of Economic Theory, Elsevier, vol. 155(C), pages 300-331.
    15. Guo, Liang, 2021. "Contextual deliberation and the choice-valuation preference reversal," Journal of Economic Theory, Elsevier, vol. 195(C).
    16. Hill, Brian, 2016. "Incomplete preferences and confidence," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 83-103.
    17. repec:hal:pseose:halshs-00788647 is not listed on IDEAS
    18. Eric Danan & Ani Guerdjikova & Alexander Zimper, 2012. "Indecisiveness aversion and preference for commitment," Theory and Decision, Springer, vol. 72(1), pages 1-13, January.
    19. Eddie Dekel & Barton L. Lipman, 2010. "How (Not) to Do Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 257-282, September.
    20. Matthew Ryan, 2021. "Stochastic expected utility for binary choice: a ‘modular’ axiomatic foundation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 641-669, September.
    21. Noor, Jawwad & Takeoka, Norio, 2015. "Menu-dependent self-control," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 1-20.

    More about this item

    Keywords

    Incomplete preferences; expected utility; random utility; random choice; subjective expected utility; states of the world;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - 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:gre:wpaper:2016-10. 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: Patrice Bougette (email available below). General contact details of provider: https://edirc.repec.org/data/credcfr.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.