IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v160y2015icp536-556.html
   My bibliography  Save this article

Mean-variance utility

Author

Listed:
  • Nakamura, Yutaka

Abstract

The mean-variance utility postulates that random variables with the same mean and variance should be equally desirable. This paper presents and discusses necessary and sufficient preference-based axioms for the existence of mean-variance utility in which any condition on variances but mean-values is not explicitly specified. Furthermore, we investigate necessary and sufficient axioms for four types of additively separable forms of mean and variance in the utility representation.

Suggested Citation

  • Nakamura, Yutaka, 2015. "Mean-variance utility," Journal of Economic Theory, Elsevier, vol. 160(C), pages 536-556.
    • Handle: RePEc:eee:jetheo:v:160:y:2015:i:c:p:536-556
    DOI: 10.1016/j.jet.2015.10.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053115001799
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2015.10.001?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. Peter H. Farquhar & Yutaka Nakamura, 1987. "Constant Exchange Risk Properties," Operations Research, INFORMS, vol. 35(2), pages 206-214, April.
    2. Epstein, Larry G, 1985. "Decreasing Risk Aversion and Mean-Variance Analysis," Econometrica, Econometric Society, vol. 53(4), pages 945-961, July.
    3. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    4. Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November.
    5. Bailey,Roy E., 2005. "The Economics of Financial Markets," Cambridge Books, Cambridge University Press, number 9780521612807.
    6. Nakamura, Yutaka, 2002. "Lexicographic quasilinear utility," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 157-178, May.
    7. L. Eeckhoudt & C. Gollier & H. Schlesinger, 2005. "Economic and financial decisions under risk," Post-Print hal-00325882, HAL.
    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. Qu, Xiangyu, 2017. "Subjective mean–variance preferences without expected utility," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 31-39.
    2. Dimitrios Koutmos & James E. Payne, 2021. "Intertemporal asset pricing with bitcoin," Review of Quantitative Finance and Accounting, Springer, vol. 56(2), pages 619-645, February.
    3. Gilles Boevi Koumou & Georges Dionne, 2022. "Coherent Diversification Measures in Portfolio Theory: An Axiomatic Foundation," Risks, MDPI, vol. 10(11), pages 1-19, October.
    4. Sarantis Tsiaplias & Qi Zeng & Guay Lim, 2021. "Retail investor expectations and trading preferences," Melbourne Institute Working Paper Series wp2021n27, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
    5. Claudio Boido & Antonio Fasano, 2023. "Mean-variance investing with factor tilting," Risk Management, Palgrave Macmillan, vol. 25(2), pages 1-24, June.

    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. Marciano Siniscalchi, 2009. "Vector Expected Utility and Attitudes Toward Variation," Econometrica, Econometric Society, vol. 77(3), pages 801-855, May.
    2. Esposito, Federico, 2022. "Demand risk and diversification through international trade," Journal of International Economics, Elsevier, vol. 135(C).
    3. Stefanescu, Razvan & Dumitriu, Ramona, 2015. "Conţinutul analizei seriilor de timp financiare [The Essentials of the Analysis of Financial Time Series]," MPRA Paper 67175, University Library of Munich, Germany.
    4. Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
    5. Qu, Xiangyu, 2017. "Subjective mean–variance preferences without expected utility," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 31-39.
    6. Antoine Gervais, 2021. "Global sourcing under uncertainty," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(3), pages 1103-1135, November.
    7. Fatma Lajeri-Chaherli, 2016. "On The Concavity And Quasiconcavity Properties Of ( Σ , Μ ) Utility Functions," Bulletin of Economic Research, Wiley Blackwell, vol. 68(3), pages 287-296, April.
    8. Robert G. Chambers & John Quiggin, 2008. "Generalized Invariant Preferences: Two-parameter Representations of Preferences," Risk & Uncertainty Working Papers WPR08_1, Risk and Sustainable Management Group, University of Queensland.
    9. Blavatskyy, Pavlo, 2016. "Probability weighting and L-moments," European Journal of Operational Research, Elsevier, vol. 255(1), pages 103-109.
    10. Esposito, Federico, 2019. "Demand Risk and Diversification through Trade," MPRA Paper 99875, University Library of Munich, Germany.
    11. Malevergne, Y. & Rey, B., 2009. "On cross-risk vulnerability," Insurance: Mathematics and Economics, Elsevier, vol. 45(2), pages 224-229, October.
    12. Lajeri-Chaherli, Fatma, 2003. "Partial derivatives, comparative risk behavior and concavity of utility functions," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 81-99, August.
    13. Antonio Díaz & Carlos Esparcia, 2021. "Dynamic optimal portfolio choice under time-varying risk aversion," International Economics, CEPII research center, issue 166, pages 1-22.
    14. Gourguet, S. & Thébaud, O. & Dichmont, C. & Jennings, S. & Little, L.R. & Pascoe, S. & Deng, R.A. & Doyen, L., 2014. "Risk versus economic performance in a mixed fishery," Ecological Economics, Elsevier, vol. 99(C), pages 110-120.
    15. Aivaliotis, Georgios & Palczewski, Jan, 2014. "Investment strategies and compensation of a mean–variance optimizing fund manager," European Journal of Operational Research, Elsevier, vol. 234(2), pages 561-570.
    16. Li, Ting & Zhang, Weiguo & Xu, Weijun, 2015. "A fuzzy portfolio selection model with background risk," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 505-513.
    17. Gervais, Antoine, 2018. "Uncertainty, risk aversion and international trade," Journal of International Economics, Elsevier, vol. 115(C), pages 145-158.
    18. Eichner, Thomas & Wagener, Andreas, 2012. "Tempering effects of (dependent) background risks: A mean-variance analysis of portfolio selection," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 422-430.
    19. Chambers, Robert G. & Grant, Simon & Polak, Ben & Quiggin, John, 2014. "A two-parameter model of dispersion aversion," Journal of Economic Theory, Elsevier, vol. 150(C), pages 611-641.
    20. Anne Schopp & Karsten Neuhoff, 2013. "The Role of Hedging in Carbon Markets," Discussion Papers of DIW Berlin 1271, DIW Berlin, German Institute for Economic Research.

    More about this item

    Keywords

    Mean-variance analysis; Mean-variance utility; Decision making under risk; Constant risk aversion;
    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:eee:jetheo:v:160:y:2015:i:c:p:536-556. 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/inca/622869 .

    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.