Generalised Means of Simple Utility Functions with Risk Aversion
The paper examines the properties of a generalised mean of simple utilities each displaying risk aversion, that is, with first derivative positive and second derivative negative. It shows the mean is itself a valid utility function and argues that simple component utilities, each of which may have quite restricted risk aversion properties, can be parsimoniously combined through the generalised mean formula to give a much more versatile utility function.
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.:
- Denis Conniffe, 2002.
"Sums and Products of Indirect Utility Functions,"
The Economic and Social Review,
Economic and Social Studies, vol. 33(3), pages 285-295.
- Conniffe, D., 2002. "Sums and Products of Indirect Utility Functions," Economics, Finance and Accounting Department Working Paper Series n1150402, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
- Maurice J. Roche, 2006. "The equity premium puzzle and decreasing relative risk aversion," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 2(3), pages 179-182, May.
- M. J. Roche, 2005. "The equity premium puzzle and decreasing relative risk aversion," Economics, Finance and Accounting Department Working Paper Series n1510205, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
- Peter H. Farquhar & Yutaka Nakamura, 1987. "Constant Exchange Risk Properties," Operations Research, INFORMS, vol. 35(2), pages 206-214, April.
- Danyang Xie, 2000. "Power Risk Aversion Utility Functions," Annals of Economics and Finance, Society for AEF, vol. 1(2), pages 265-282, November.
- Conniffe Denis, 2007. "A Note on Generating Globally Regular Indirect Utility Functions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-13, January.
- Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
- Caballe, Jordi & Pomansky, Alexey, 1996. "Mixed Risk Aversion," Journal of Economic Theory, Elsevier, vol. 71(2), pages 485-513, November.
- Caballé, Jordi & Pomansky, Alexey, 1995. "Mixed Risk Aversion," Working Paper Series 444, Research Institute of Industrial Economics.
- Meyer, Donald J. & Meyer, Jack, 2005. "Risk preferences in multi-period consumption models, the equity premium puzzle, and habit formation utility," Journal of Monetary Economics, Elsevier, vol. 52(8), pages 1497-1515, November.
- Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
- Gerry Boyle & Denis Conniffe, 2006. "Compatibility of Expected Utility and µ/s Approaches to Risk for a Class of Non Location-Scale Distributions," Economics, Finance and Accounting Department Working Paper Series n1670406, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
- Nakamura, Yutaka, 1996. "Sumex utility functions," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 39-47, February.
- Prof. Denis Conniffe, 2002. "Sums and Products of Indirect Utility Functions," NIRSA Working Paper Series 6, National Institute for Regional and Spatial Analysis (NIRSA), NUI Maynooth, Ireland..
- David E. Bell & Peter C. Fishburn, 2001. "Strong One-Switch Utility," Management Science, INFORMS, vol. 47(4), pages 601-604, April.
- Gregory M. Gelles & Douglas W. Mitchell, 1999. "Broadly Decreasing Risk Aversion," Management Science, INFORMS, vol. 45(10), pages 1432-1439, October.
- David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
- Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:eso:journl:v:39:y:2008:i:1:p:1-12. 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: (Martina Lawless)
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.