IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v216y2022ics0165176522001574.html
   My bibliography  Save this article

Second-order uncertainty and naive diversification

Author

Listed:
  • Mahmoud, Ola

Abstract

This paper introduces a new model for decision making under ambiguity called second-order uncertainty. The decision maker considers all probability distributions associated with the given options, and chooses the allocation that minimizes the variability of outcome across all probabilities. Optimal allocation under second-order uncertainty is the equal weighted allocation, also called naive diversification.

Suggested Citation

  • Mahmoud, Ola, 2022. "Second-order uncertainty and naive diversification," Economics Letters, Elsevier, vol. 216(C).
  • Handle: RePEc:eee:ecolet:v:216:y:2022:i:c:s0165176522001574
    DOI: 10.1016/j.econlet.2022.110554
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176522001574
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2022.110554?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. Cohen, Michele & Jaffray, Jean-Yves, 1980. "Rational Behavior under Complete Ignorance," Econometrica, Econometric Society, vol. 48(5), pages 1281-1299, July.
    2. Barberis, Nicholas & Thaler, Richard, 2003. "A survey of behavioral finance," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 18, pages 1053-1128, Elsevier.
    3. Baltussen, Guido & Post, Gerrit T., 2011. "Irrational Diversification: An Examination of Individual Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(5), pages 1463-1491, October.
    4. Richard H. Thaler & Shlomo Benartzi, 2001. "Naive Diversification Strategies in Defined Contribution Saving Plans," American Economic Review, American Economic Association, vol. 91(1), pages 79-98, March.
    5. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    6. Fernandes, Daniel, 2013. "The 1/N Rule revisited: Heterogeneity in the naïve diversification bias," International Journal of Research in Marketing, Elsevier, vol. 30(3), pages 310-313.
    7. Prasanta K. Pattanaik & Yongsheng Xu & Walter Bossert, 2000. "Choice under complete uncertainty: axiomatic characterizations of some decision rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(2), pages 295-312.
    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. Filiz, Ibrahim & Nahmer, Thomas & Spiwoks, Markus & Gubaydullina, Zulia, 2020. "Measurement of risk preference," Journal of Behavioral and Experimental Finance, Elsevier, vol. 27(C).
    2. Ibrahim Filiz & Thomas Nahmer & Markus Spiwoks & Kilian Bizer, 2018. "Portfolio diversification: the influence of herding, status-quo bias, and the gambler’s fallacy," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 32(2), pages 167-205, May.
    3. Ola Mahmoud, 2022. "The Willingness to Pay for Diversification," Management Science, INFORMS, vol. 68(8), pages 6235-6249, August.
    4. Israel, Avi & Lahav, Eyal & Ziv, Naomi, 2019. "Stop the music? The effect of music on risky financial decisions: An experimental study," Journal of Behavioral and Experimental Finance, Elsevier, vol. 24(C).
    5. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    6. Stefano DellaVigna, 2009. "Psychology and Economics: Evidence from the Field," Journal of Economic Literature, American Economic Association, vol. 47(2), pages 315-372, June.
    7. Tarnaud, Albane Christine & Leleu, Hervé, 2018. "Portfolio analysis with DEA: Prior to choosing a model," Omega, Elsevier, vol. 75(C), pages 57-76.
    8. Laurent E. Calvet & John Y. Campbell & Paolo Sodini, 2007. "Down or Out: Assessing the Welfare Costs of Household Investment Mistakes," Journal of Political Economy, University of Chicago Press, vol. 115(5), pages 707-747, October.
    9. Irina Gemmo & Pierre-Carl Michaud & Olivia S. Mitchell, 2023. "Selection into Financial Education and Effects on Portfolio Choice," NBER Working Papers 31682, National Bureau of Economic Research, Inc.
    10. 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.
    11. Boudt, Kris & Raza, Muhammad Wajid & Wauters, Marjan, 2019. "Evaluating the Shariah-compliance of equity portfolios: The weighting method matters," International Review of Financial Analysis, Elsevier, vol. 63(C), pages 406-417.
    12. Rui Pedro Brito & Hélder Sebastião & Pedro Godinho, 2016. "Efficient skewness/semivariance portfolios," Journal of Asset Management, Palgrave Macmillan, vol. 17(5), pages 331-346, September.
    13. Amromin, Gene & Huang, Jennifer & Sialm, Clemens, 2007. "The tradeoff between mortgage prepayments and tax-deferred retirement savings," Journal of Public Economics, Elsevier, vol. 91(10), pages 2014-2040, November.
    14. Michael Curran & Patrick O'Sullivan & Ryan Zalla, 2020. "Can Volatility Solve the Naive Portfolio Puzzle?," Papers 2005.03204, arXiv.org, revised Feb 2022.
    15. Olschewski, Sebastian & Diao, Linan & Rieskamp, Jörg, 2021. "Reinforcement learning about asset variability and correlation in repeated portfolio decisions," Journal of Behavioral and Experimental Finance, Elsevier, vol. 32(C).
    16. Adrian Hillenbrand & André Schmelzer, 2015. "Beyond Information: Disclosure, Distracted Attention, and Investor Behavior," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2015_20, Max Planck Institute for Research on Collective Goods.
    17. Godfrey, Keith R.L., 2017. "Toward a model-free measure of market efficiency," Pacific-Basin Finance Journal, Elsevier, vol. 44(C), pages 97-112.
    18. Pontiff, Jeffrey, 2006. "Costly arbitrage and the myth of idiosyncratic risk," Journal of Accounting and Economics, Elsevier, vol. 42(1-2), pages 35-52, October.
    19. Ning Du & David V. Budescu, 2005. "The Effects of Imprecise Probabilities and Outcomes in Evaluating Investment Options," Management Science, INFORMS, vol. 51(12), pages 1791-1803, December.
    20. Bennett, Donyetta & Mekelburg, Erik & Williams, T.H., 2023. "BeFi meets DeFi: A behavioral finance approach to decentralized finance asset pricing," Research in International Business and Finance, Elsevier, vol. 65(C).

    More about this item

    Keywords

    Second-order uncertainty; Ambiguity; Naive diversification; Principle of indifference;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • 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:ecolet:v:216:y:2022:i:c:s0165176522001574. 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/ecolet .

    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.