IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/hal-00671289.html
   My bibliography  Save this paper

Decision under Risk: The Classical Expected Utility Model

Author

Listed:
  • Alain Chateauneuf

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Michèle Cohen

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Jean-Marc Tallon

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This chapter of a collective book aims at presenting the basics of decision making under risk. We first define notions of risk and increasing risk and recall definitions and classifications (that are valid independently of any representation) of behavior under risk. We then review the classical model of expected utility due to von Neumann and Morgenstern andd its main properties. Issues raised by this model are then discussed and two models generalizing the expected utility model are briefly discussed.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Alain Chateauneuf & Michèle Cohen & Jean-Marc Tallon, 2009. "Decision under Risk: The Classical Expected Utility Model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00671289, HAL.
    • Handle: RePEc:hal:cesptp:hal-00671289
    DOI: 10.1002/9780470611876.ch8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Chateauneuf, A. & Cohen, M. & Meilijson, I., 1997. "New Tools to Better Model Behavior Under Risk and UNcertainty: An Oevrview," Papiers d'Economie Mathématique et Applications 97.55, Université Panthéon-Sorbonne (Paris 1).
    2. Peter Fishburn & Peter Wakker, 1995. "The Invention of the Independence Condition for Preferences," Management Science, INFORMS, vol. 41(7), pages 1130-1144, July.
    3. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-638, May.
    4. Itzhak Gilboa, 1988. "A Combination of Expected Utility and Maxmin Decision Criteria," Post-Print hal-00753244, HAL.
    5. Essid, Samir, 1997. "Choice under risk with certainty and potential effects: A general axiomatic model," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 223-247, October.
    6. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    7. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
    8. Grandmont, Jean-Michel, 1972. "Continuity properties of a von Neumann-Morgenstern utility," Journal of Economic Theory, Elsevier, vol. 4(1), pages 45-57, February.
    9. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    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. Alain Chateauneuf & Michéle Cohen & Isaac Meilijson, 2005. "More pessimism than greediness: a characterization of monotone risk aversion in the rank-dependent expected utility model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(3), pages 649-667, April.
    2. Moez Abouda & Elyess Farhoud, 2010. "Risk aversion and Relationships in model-free," Post-Print halshs-00492170, HAL.
    3. Moez Abouda & Elyess Farhoud, 2010. "Anti-comonotone random variables and anti-monotone risk aversion," Post-Print halshs-00497444, HAL.
    4. Michèle Cohen & Isaac Meilijson, 2011. "In search of characterization of the preference for safety under the Choquet model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00594082, HAL.
    5. Michèle Cohen & Isaac Meilijson, 2014. "Preference for safety under the Choquet model: in search of a characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 619-642, April.
    6. Eeckhoudt, Louis, 2001. "Espérance d’utilité et nouveaux modèles de choix dans le risque : une connivence cachée," L'Actualité Economique, Société Canadienne de Science Economique, vol. 77(4), pages 499-516, décembre.
    7. Ulrich Schmidt, 2001. "Lottery Dependent Utility: a Reexamination," Theory and Decision, Springer, vol. 50(1), pages 35-58, February.
    8. Michèle Cohen, 2008. "Risk Perception, Risk Attitude and Decision : a Rank-Dependent Approach," Post-Print halshs-00348810, HAL.
    9. 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.
    10. Peter, Richard & Ying, Jie, 2020. "Do you trust your insurer? Ambiguity about contract nonperformance and optimal insurance demand," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 938-954.
    11. Alain Chateauneuf & Michèle Cohen & Mina Mostoufi & Jean-Christophe Vergnaud, 2015. "Optimality of deductible for Yaari's model: a reappraisal," Documents de travail du Centre d'Economie de la Sorbonne 15072, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    12. Trabelsi, Mohamed Ali, 2006. "Les nouveaux modèles de décision dans le risque et l’incertain : quel apport ? [The new models of decision under risk or uncertainty : What approach?]," MPRA Paper 25442, University Library of Munich, Germany.
    13. Louis R. Eeckhoudt & Roger J. A. Laeven, 2021. "Probability Premium and Attitude Towards Probability," Papers 2105.00054, arXiv.org.
    14. Schmidt, Ulrich, 2000. "The certainty effect and boundary effects with transformed probabilities," Economics Letters, Elsevier, vol. 67(1), pages 29-33, April.
    15. Fabio Maccheroni, 2004. "Yaari's dual theory without the completeness axiom," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 701-714, March.
    16. Schmidt, Ulrich & Zimper, Alexander, 2003. "Security and potential level preferences with thresholds," Papers 03-29, Sonderforschungsbreich 504.
    17. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    18. Dachraoui, Kais & Dionne, Georges, 2001. "Stochastic dominance and optimal portfolio," Economics Letters, Elsevier, vol. 71(3), pages 347-354, June.
    19. Heinzel, Christoph, 2023. "Comparing utility derivative premia under additive and multiplicative risks," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 23-40.
    20. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2024. "Who saves more, the naive or the sophisticated agent?," Journal of Economic Theory, Elsevier, vol. 219(C).

    More about this item

    Keywords

    uncertain environment; standard model; behavioral implications; preference relation; extreme situations;
    All these keywords.

    JEL classification:

    • 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:hal:cesptp:hal-00671289. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.