IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v52y2014icp143-147.html
   My bibliography  Save this article

Expected utility without bounds—A simple proof

Author

Listed:
  • Dillenberger, David
  • Vijay Krishna, R.

Abstract

We provide a simple proof for the existence of an expected utility representation of a preference relation with an unbounded and continuous utility function.

Suggested Citation

  • Dillenberger, David & Vijay Krishna, R., 2014. "Expected utility without bounds—A simple proof," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 143-147.
    • Handle: RePEc:eee:mateco:v:52:y:2014:i:c:p:143-147
    DOI: 10.1016/j.jmateco.2013.12.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406814000044
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2013.12.011?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. David M. Kreps, 2012. "Microeconomic Foundations I: Choice and Competitive Markets," Economics Books, Princeton University Press, edition 1, volume 1, number 9890.
    2. Grandmont, Jean-Michel, 1972. "Continuity properties of a von Neumann-Morgenstern utility," Journal of Economic Theory, Elsevier, vol. 4(1), pages 45-57, February.
    3. Peter C. Fishburn, 1976. "Unbounded Utility Functions in Expected Utility Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 163-168.
    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. Leoneti, Alexandre Bevilacqua & Gomes, Luiz Flavio Autran Monteiro, 2021. "A novel version of the TODIM method based on the exponential model of prospect theory: The ExpTODIM method," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1042-1055.
    2. Michael Greinecker & Christoph Kuzmics, 2022. "Limit Orders and Knightian Uncertainty," Papers 2208.10804, arXiv.org.

    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. 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.
    2. Ichiishi, Tatsuro, 1985. "Management versus ownership, II," European Economic Review, Elsevier, vol. 27(2), pages 115-138, March.
    3. Schaefer, Alexander, 2021. "Rationality, uncertainty, and unanimity: an epistemic critique of contractarianism," Economics and Philosophy, Cambridge University Press, vol. 37(1), pages 82-117, March.
    4. Lorenzo Bastianello & Marco LiCalzi, 2015. "Target-based solutions for Nash bargaining," Working Papers 5, Venice School of Management - Department of Management, Università Ca' Foscari Venezia.
    5. Loehman, Edna, 1985. "Discussion: Risk Concepts Revisited: A Mathematical Approach," Regional Research Projects > 1985: S-180 Annual Meeting, March 24-27, 1985, Charleston, South Carolina 271792, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.
    6. Nicole Branger & An Chen & Antje Mahayni & Thai Nguyen, 2023. "Optimal collective investment: an analysis of individual welfare," Mathematics and Financial Economics, Springer, volume 17, number 5, December.
    7. Busetto, Francesca & Codognato, Giulio & Julien, Ludovic, 2020. "Atomic Leontievian Cournotian traders are always Walrasian," Games and Economic Behavior, Elsevier, vol. 122(C), pages 318-327.
    8. Aguiar, Victor H. & Kashaev, Nail & Allen, Roy, 2023. "Prices, profits, proxies, and production," Journal of Econometrics, Elsevier, vol. 235(2), pages 666-693.
    9. Ludovic A. Julien, 2017. "Hierarchical Competition and Heterogeneous Behavior in Noncooperative Oligopoly Markets," Post-Print hal-01637298, HAL.
    10. Itzhak Gilboa & Larry Samuelson & David Schmeidler, 2014. "No‐Betting‐Pareto Dominance," Econometrica, Econometric Society, vol. 82(4), pages 1405-1442, July.
    11. Ha-Huy, Thai & Le Van, Cuong & Tran-Viet, Cuong, 2018. "Arbitrage and equilibrium in economies with short-selling and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 95-100.
    12. Pivato, Marcus & Vergopoulos, Vassili, 2017. "Subjective expected utility representations for Savage preferences on topological spaces," MPRA Paper 77359, University Library of Munich, Germany.
    13. Georgios Gerasimou, 2016. "Asymmetric dominance, deferral, and status quo bias in a behavioral model of choice," Theory and Decision, Springer, vol. 80(2), pages 295-312, February.
    14. Ikefuji, Masako & Laeven, Roger J.A. & Magnus, Jan R. & Muris, Chris, 2020. "Expected utility and catastrophic risk in a stochastic economy–climate model," Journal of Econometrics, Elsevier, vol. 214(1), pages 110-129.
    15. Weiss, Michael D., 1985. "Risk Concepts Revisited: A Mathematical Approach," Regional Research Projects > 1985: S-180 Annual Meeting, March 24-27, 1985, Charleston, South Carolina 271791, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.
    16. Hara, Kazuhiro, 2016. "Characterization of stationary preferences in a continuous time framework," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 34-43.
    17. Bultel, Dirk, 2001. "Continuous linear utility for preferences on convex sets in normed real vector spaces," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 89-98, July.
    18. M. Lombardi & S. Tonin, 2020. "On trade in bilateral oligopolies with altruistic and spiteful agents," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 203-218, October.
    19. Epstein, Larry G. & Seo, Kyoungwon, 2009. "Subjective states: A more robust model," Games and Economic Behavior, Elsevier, vol. 67(2), pages 408-427, November.
    20. Craig S. Webb, 2024. "Dynamic preference foundations of expected exponentially-discounted utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(4), pages 921-940, June.

    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:eee:mateco:v:52:y:2014:i:c:p:143-147. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.