IDEAS home Printed from https://ideas.repec.org/p/ags/isfiwp/275328.html
   My bibliography  Save this paper

An Expected Utility Theory for State-Dependent Preferences

Author

Listed:
  • Karni, Edi
  • Schmeidler, David

Abstract

This note is a generalization and improved interpretation of the main result of Karni and Schmeidler (An Expected utility theory for state-dependent preferences. Working paper no. 48-80 of the Foerder Institute for Economic Research, Faculty of Social Sciences, Tel Aviv University, 1980). A decision-maker is supposed to possess a preference relation on acts and another preference relation on state-prize lotteries, both of which are assumed to satisfy the von Neumann–Morgenstern axioms. In addition, the two preference relations restricted to a state of nature are assumed to agree. We show that these axioms are necessary and sufficient for the existence of subjective expected utility over acts with state-dependent utility functions and a subjective probability measure. This subjective probability measure is unique when conditioned on the set of states of nature in which not all the prizes are equally desirable.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Karni, Edi & Schmeidler, David, 1980. "An Expected Utility Theory for State-Dependent Preferences," Foerder Institute for Economic Research Working Papers 275328, Tel-Aviv University > Foerder Institute for Economic Research.
  • Handle: RePEc:ags:isfiwp:275328
    DOI: 10.22004/ag.econ.275328
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/275328/files/TEL-AVIV-FSWP-015.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.22004/ag.econ.275328?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Edi Karni & David Schmeidler, 2016. "An expected utility theory for state-dependent preferences," Theory and Decision, Springer, vol. 81(4), pages 467-478, November.
    2. Fishburn, Peter C, 1973. "A Mixture-Set Axiomatization of Conditional Subjective Expected Utility," Econometrica, Econometric Society, vol. 41(1), pages 1-25, January.
    3. Robert Nau, 2001. "De Finetti was Right: Probability Does Not Exist," Theory and Decision, Springer, vol. 51(2), pages 89-124, December.
    4. Hirshleifer, J & Riley, John G, 1979. "The Analytics of Uncertainty and Information-An Expository Survey," Journal of Economic Literature, American Economic Association, vol. 17(4), pages 1375-1421, December.
    5. Edi Karni & Philippe Mongin, 2000. "On the Determination of Subjective Probability by Choices," Management Science, INFORMS, vol. 46(2), pages 233-248, February.
    6. Karni, Edi, 1983. "Risk Aversion for State-Dependent Utility Functions: Measurement and Applications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 637-647, October.
    7. Karni, Edi & Schmeidler, David & Vind, Karl, 1983. "On State Dependent Preferences and Subjective Probabilities," Econometrica, Econometric Society, vol. 51(4), pages 1021-1031, July.
    8. Karni, Edi & Safra, Zvi, 2016. "A theory of stochastic choice under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 164-173.
    9. Philip J. Cook & Daniel A. Graham, 1977. "The Demand for Insurance and Protection: The Case of Irreplaceable Commodities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 143-156.
    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. Chew, Soo Hong & Wang, Wenqian, 2020. "On the robustness of indeterminacy in subjective probability," Economics Letters, Elsevier, vol. 188(C).
    2. Assa, Hirbod & Zimper, Alexander, 2018. "Preferences over all random variables: Incompatibility of convexity and continuity," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 71-83.
    3. Grant, Simon & Karni, Edi, 2004. "A theory of quantifiable beliefs," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 515-546, August.
    4. Elias Tsakas, 2022. "Belief identification with state-dependent utilities," Papers 2203.10505, arXiv.org, revised Nov 2022.
    5. Edi Karni & David Schmeidler, 2016. "An expected utility theory for state-dependent preferences," Theory and Decision, Springer, vol. 81(4), pages 467-478, November.
    6. Jean Baccelli, 2019. "The Problem of State-Dependent Utility: A Reappraisal," Post-Print hal-02172207, HAL.
    7. Karni, Edi, 2020. "On the indeterminacy of the representation of beliefs by probabilities," Economics Letters, Elsevier, vol. 196(C).
    8. Karni, Edi & Safra, Zvi, 2016. "A theory of stochastic choice under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 164-173.
    9. Elias Tsakas, 2023. "Belief identification by proxy," Papers 2311.13394, arXiv.org.
    10. Urmee Khan, 2016. "State-dependent Preferences in Prediction Markets and Prices as Aggregate Statistic," Studies in Microeconomics, , vol. 4(1), pages 70-77, June.
    11. Vilkkumaa, Eeva & Liesiö, Juuso & Salo, Ahti & Ilmola-Sheppard, Leena, 2018. "Scenario-based portfolio model for building robust and proactive strategies," European Journal of Operational Research, Elsevier, vol. 266(1), pages 205-220.

    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. Brian Hill, 2009. "Living without state-independence of utilities," Theory and Decision, Springer, vol. 67(4), pages 405-432, October.
    2. Robert F. Nau, 2003. "A Generalization of Pratt-Arrow Measure to Nonexpected-Utility Preferences and Inseparable Probability and Utility," Management Science, INFORMS, vol. 49(8), pages 1089-1104, August.
    3. Elias Tsakas, 2023. "Belief identification by proxy," Papers 2311.13394, arXiv.org.
    4. Karni, Edi, 2007. "Foundations of Bayesian theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 167-188, January.
    5. Robert Jarrow & Siguang Li, 2021. "Concavity, stochastic utility, and risk aversion," Finance and Stochastics, Springer, vol. 25(2), pages 311-330, April.
    6. Robert F. Nau, 2006. "Uncertainty Aversion with Second-Order Utilities and Probabilities," Management Science, INFORMS, vol. 52(1), pages 136-145, January.
    7. DREZE , Jacques H. & RUSTICHINI, Aldo, 2000. "State-dependent utility and decision theory," LIDAM Discussion Papers CORE 2000007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Grant, Simon & Karni, Edi, 2004. "A theory of quantifiable beliefs," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 515-546, August.
    9. Elias Tsakas, 2022. "Belief identification with state-dependent utilities," Papers 2203.10505, arXiv.org, revised Nov 2022.
    10. Agricultural Economics Department, 1989. "Public Choices and Private Risks: The Role of Economic Analysis," 1989 Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk Meeting, April 9-12, 1989, Sanibel Island, Florida 271521, Regional Research Projects > S-232: Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk.
    11. Hammond, Peter J, 2013. "Extending the Original Position : Revisiting the Pattanaik Critique of Vickrey/Harsanyi Utilitarianism," The Warwick Economics Research Paper Series (TWERPS) 1008, University of Warwick, Department of Economics.
    12. Hill, Brian, 2010. "An additively separable representation in the Savage framework," Journal of Economic Theory, Elsevier, vol. 145(5), pages 2044-2054, September.
    13. Luiz Vitiello & Ser-Huang Poon, 2022. "Option pricing with random risk aversion," Review of Quantitative Finance and Accounting, Springer, vol. 58(4), pages 1665-1684, May.
    14. Robert Nau, 2001. "De Finetti was Right: Probability Does Not Exist," Theory and Decision, Springer, vol. 51(2), pages 89-124, December.
    15. Klaus Nehring, 2006. "Decision-Making in the Context of Imprecise Probabilistic Beliefs," Economics Working Papers 0034, Institute for Advanced Study, School of Social Science.
    16. Hill, Brian, 2009. "When is there state independence?," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1119-1134, May.
    17. Markus Rieger‐Fels, 2024. "Why do people buy insurance? A modern answer to an old question," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 27(1), pages 89-114, April.
    18. 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.
    19. Skiadas, Costis, 1997. "Subjective Probability under Additive Aggregation of Conditional Preferences," Journal of Economic Theory, Elsevier, vol. 76(2), pages 242-271, October.
    20. Dari-Mattiacci, Giuseppe & Langlais, Eric, 2012. "Social Wealth and Optimal Care," International Review of Law and Economics, Elsevier, vol. 32(2), pages 271-284.

    More about this item

    Keywords

    Financial Economics;

    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:ags:isfiwp:275328. 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: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/fotauil.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.