Elliptical Symmetry, Expected Utility, And Mean-Variance Analysis
Mean-variance analysis in the form of risk programming has a long, productive history in agricultural economics research. And risk programming continues to be used despite well known theoretical results that choices based on mean-variance analysis are not consistent with choices based on expected utility maximization. This paper demonstrates that the multivariate distribution of returns used in risk programming must be elliptically symmetric in order for mean-variance analysis to be consistent with expected utility choices. Then a statistical test for elliptical symmetry is developed and demonstrated. This test enables researchers to determine when data will produce significant differences between risk programming choices and expected utility choices.
|Date of creation:||1997|
|Date of revision:|
|Contact details of provider:|| Postal: 326 Mumford Hall, MC-710, 1301 West Gregory Drive, Urbana, Illinois, 61801|
Phone: (217) 333-1810
Fax: (217) 333-5538
Web page: http://www.ace.uiuc.edu/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
- Meyer, Jack & Rasche, Robert H, 1992. "Sufficient Conditions for Expected Utility to Imply Mean-Standard Deviation Rankings: Empirical Evidence Concerning the Location and Scale Condition," Economic Journal, Royal Economic Society, vol. 102(410), pages 91-106, January.
- James A. Chalfant & Robert N. Collender & Shankar Subramanian, 1990. "The Mean and Variance of the Mean-Variance Decision Rule," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(4), pages 966-974.
- Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-30, June.
- Robert N. Collender & David Zilberman, 1985. "Land Allocation under Uncertainty for Alternative Specifications of Return Distributions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(4), pages 779-786.
When requesting a correction, please mention this item's handle: RePEc:ags:uiucar:14795. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (AgEcon Search)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.