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Explaining the characteristics of the power (CRRA) utility family

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  • Peter P. Wakker

Abstract

The power family, also known as the family of constant relative risk aversion (CRRA), is the most widely used parametric family for fitting utility functions to data. Its characteristics have, however, been little understood, and have led to numerous misunderstandings. This paper explains these characteristics in a manner accessible to a wide audience. Copyright © 2008 John Wiley & Sons, Ltd.

Suggested Citation

  • Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344, December.
  • Handle: RePEc:wly:hlthec:v:17:y:2008:i:12:p:1329-1344
    DOI: 10.1002/hec.1331
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    File URL: https://doi.org/10.1002/hec.1331
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    References listed on IDEAS

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    1. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    2. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    3. Palacios-Huerta, Ignacio & Serrano, Roberto, 2006. "Rejecting small gambles under expected utility," Economics Letters, Elsevier, vol. 91(2), pages 250-259, May.
    4. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    5. Angela Robinson & Anne Spencer, 2006. "Exploring challenges to TTO utilities: valuing states worse than dead," Health Economics, John Wiley & Sons, Ltd., vol. 15(4), pages 393-402, April.
    6. Robin Cubitt & Chris Starmer & Robert Sugden, 2001. "Discovered preferences and the experimental evidence of violations of expected utility theory," Journal of Economic Methodology, Taylor & Francis Journals, vol. 8(3), pages 385-414.
    7. Kandel, Shmuel & Stambaugh, Robert F., 1991. "Asset returns and intertemporal preferences," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 39-71, February.
    8. Glenn W Harrison & John A List & Charles Towe, 2007. "Naturally Occurring Preferences and Exogenous Laboratory Experiments: A Case Study of Risk Aversion," Econometrica, Econometric Society, vol. 75(2), pages 433-458, March.
    9. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    10. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    11. Louis Kaplow, 2005. "The Value of a Statistical Life and the Coefficient of Relative Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 31(1), pages 23-34, July.
    12. Camerer, Colin F & Ho, Teck-Hua, 1994. "Violations of the Betweenness Axiom and Nonlinearity in Probability," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 167-196, March.
    13. Doctor, Jason N. & Bleichrodt, Han & Miyamoto, John & Temkin, Nancy R. & Dikmen, Sureyya, 2004. "A new and more robust test of QALYs," Journal of Health Economics, Elsevier, vol. 23(2), pages 353-367, March.
    14. John Brazier & Paul Dolan & Korina Karampela & Isabel Towers, 2006. "Does the whole equal the sum of the parts? Patient‐assigned utility scores for IBS‐related health states and profiles," Health Economics, John Wiley & Sons, Ltd., vol. 15(6), pages 543-551, June.
    15. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    16. Robert B. Barsky & F. Thomas Juster & Miles S. Kimball & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 537-579.
    17. Dominguez, Kathryn M & Frankel, Jeffrey A, 1993. "Does Foreign-Exchange Intervention Matter? The Portfolio Effect," American Economic Review, American Economic Association, vol. 83(5), pages 1356-1369, December.
    18. Bleichrodt, Han & Herrero, Carmen & Pinto, Jose Luis, 2002. "A proposal to solve the comparability problem in cost-utility analysis," Journal of Health Economics, Elsevier, vol. 21(3), pages 397-403, May.
    19. Donald Meyer & Jack Meyer, 2005. "Relative Risk Aversion: What Do We Know?," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 243-262, December.
    20. Friend, Irwin & Blume, Marshall E, 1975. "The Demand for Risky Assets," American Economic Review, American Economic Association, vol. 65(5), pages 900-922, December.
    21. Vendrik, Maarten C.M. & Woltjer, Geert B., 2007. "Happiness and loss aversion: Is utility concave or convex in relative income?," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1423-1448, August.
    22. Fredrik Carlsson & Dinky Daruvala & Olof Johansson-Stenman, 2005. "Are People Inequality-Averse, or Just Risk-Averse?," Economica, London School of Economics and Political Science, vol. 72(3), pages 375-396, August.
    23. Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, February.
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