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Generalised Means of Simple Utility Functions with Risk Aversion

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  • Denis Conniffe

    ()
    (Economics, National University of Ireland, Maynooth)

Abstract

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 proves the mean is itself a valid utility function with the appropriate signs for derivatives and investigates risk aversion properties. It shows 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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Bibliographic Info

Paper provided by Department of Economics, Finance and Accounting, National University of Ireland - Maynooth in its series Economics, Finance and Accounting Department Working Paper Series with number n1790907.pdf.

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Length: 12 pages
Date of creation: 2007
Date of revision:
Handle: RePEc:may:mayecw:n1790907.pdf

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Postal: Maynooth, Co. Kildare
Phone: 353-1-7083728
Fax: 353-1-7083934
Web page: http://economics.nuim.ie
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  1. 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.
  2. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
  3. David E. Bell & Peter C. Fishburn, 2001. "Strong One-Switch Utility," Management Science, INFORMS, vol. 47(4), pages 601-604, April.
  4. 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.
  5. Caballe, Jordi & Pomansky, Alexey, 1996. "Mixed Risk Aversion," Journal of Economic Theory, Elsevier, vol. 71(2), pages 485-513, November.
  6. 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.
  7. 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..
  8. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
  9. 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.
  10. 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.
  11. Nakamura, Yutaka, 1996. "Sumex utility functions," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 39-47, February.
  12. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-54, January.
  13. Gregory M. Gelles & Douglas W. Mitchell, 1999. "Broadly Decreasing Risk Aversion," Management Science, INFORMS, vol. 45(10), pages 1432-1439, October.
  14. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-30, June.
  15. 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.
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