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.
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- 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.
- David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
- David E. Bell & Peter C. Fishburn, 2001. "Strong One-Switch Utility," Management Science, INFORMS, vol. 47(4), pages 601-604, April.
- Caballe, Jordi & Pomansky, Alexey, 1996.
"Mixed Risk Aversion,"
Journal of Economic Theory,
Elsevier, vol. 71(2), pages 485-513, November.
- Miles S. Kimball, 1991.
"Standard Risk Aversion,"
NBER Technical Working Papers
0099, National Bureau of Economic Research, Inc.
- Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-54, January.
- 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..
- 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.
- 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.
- Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-30, June.
- Gregory M. Gelles & Douglas W. Mitchell, 1999. "Broadly Decreasing Risk Aversion," Management Science, INFORMS, vol. 45(10), pages 1432-1439, October.
- Danyang Xie, 1999.
"Power Risk Aversion Utility Functions,"
CEMA Working Papers
22, China Economics and Management Academy, Central University of Finance and Economics, revised Oct 2000.
- 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.
- 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.
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