IDEAS home Printed from https://ideas.repec.org/a/wly/hlthec/v17y2008i12p1329-1344.html
   My bibliography  Save this article

Explaining the characteristics of the power (CRRA) utility family

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/hec.1331
    Download Restriction: no
    File URL: https://libkey.io/10.1002/hec.1331?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Kandel, Shmuel & Stambaugh, Robert F., 1991. "Asset returns and intertemporal preferences," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 39-71, February.
    5. 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.
    6. 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.
    7. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    8. 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.
    9. 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.
    10. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    11. 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.
    12. 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.
    13. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    14. 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.
    15. 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.
    16. Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, February.
    17. Palacios-Huerta, Ignacio & Serrano, Roberto, 2006. "Rejecting small gambles under expected utility," Economics Letters, Elsevier, vol. 91(2), pages 250-259, May.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. Friend, Irwin & Blume, Marshall E, 1975. "The Demand for Risky Assets," American Economic Review, American Economic Association, vol. 65(5), pages 900-922, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Booij, Adam S. & van de Kuilen, Gijs, 2009. "A parameter-free analysis of the utility of money for the general population under prospect theory," Journal of Economic Psychology, Elsevier, vol. 30(4), pages 651-666, August.
    3. Adam Booij & Bernard Praag & Gijs Kuilen, 2010. "A parametric analysis of prospect theory’s functionals for the general population," Theory and Decision, Springer, vol. 68(1), pages 115-148, February.
    4. Peter Wakker & Veronika Köbberling & Christiane Schwieren, 2007. "Prospect-theory’s Diminishing Sensitivity Versus Economics’ Intrinsic Utility of Money: How the Introduction of the Euro can be Used to Disentangle the Two Empirically," Theory and Decision, Springer, vol. 63(3), pages 205-231, November.
    5. Benjamin L. Collier & Daniel Schwartz & Howard C. Kunreuther & Erwann O. Michel-Kerjan, 2017. "Risk Preferences in Small and Large Stakes: Evidence from Insurance Contract Decisions," NBER Working Papers 23579, National Bureau of Economic Research, Inc.
    6. Booij, Adam S. & van Praag, Bernard M.S., 2009. "A simultaneous approach to the estimation of risk aversion and the subjective time discount rate," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 374-388, May.
    7. Daniel Navarro-Martinez & Graham Loomes & Andrea Isoni & David Butler & Larbi Alaoui, 2018. "Boundedly rational expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 57(3), pages 199-223, December.
    8. Ryan O. Murphy & Robert H. W. ten Brincke, 2018. "Hierarchical Maximum Likelihood Parameter Estimation for Cumulative Prospect Theory: Improving the Reliability of Individual Risk Parameter Estimates," Management Science, INFORMS, vol. 64(1), pages 308-328, January.
    9. Haug, Jørgen & Hens, Thorsten & Woehrmann, Peter, 2013. "Risk aversion in the large and in the small," Economics Letters, Elsevier, vol. 118(2), pages 310-313.
    10. E. Elisabet Rutstrom & Glenn W. Harrison & Morten I. Lau, 2004. "Estimating Risk Attitudes in Denmark," Econometric Society 2004 Australasian Meetings 201, Econometric Society.
    11. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    12. Horst Zank, 2010. "On probabilities and loss aversion," Theory and Decision, Springer, vol. 68(3), pages 243-261, March.
    13. Jie Zhang & Ivan Paya & David Peel, 2010. "An Empirical Analysis of Choices Between Gambles of Children and Adults in China," Journal of Gambling Business and Economics, University of Buckingham Press, vol. 4(1), pages 1-18, March.
    14. David A. Peel & Davind Law, 2009. "An Explanation of Optimal Each-Way Bets based on Non-Expected Utility Theory," Journal of Gambling Business and Economics, University of Buckingham Press, vol. 3(2), pages 15-35, September.
    15. Mohammed Abdellaoui & Ahmed Driouchi & Olivier L’Haridon, 2011. "Risk aversion elicitation: reconciling tractability and bias minimization," Theory and Decision, Springer, vol. 71(1), pages 63-80, July.
    16. Elgin, Ceyhun & Torul, Orhan & Aydoğdu, Ertunç, 2021. "Risky choices in a natural experiment from Turkey: Var Mısın Yok Musun?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 92(C).
    17. Peter Brooks & Horst Zank, 2005. "Loss Averse Behavior," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 301-325, December.
    18. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    19. Luís Santos-Pinto & Adrian Bruhin & José Mata & Thomas Åstebro, 2015. "Detecting heterogeneous risk attitudes with mixed gambles," Theory and Decision, Springer, vol. 79(4), pages 573-600, December.
    20. Enrico Diecidue & Peter Wakker & Marcel Zeelenberg, 2007. "Eliciting decision weights by adapting de Finetti’s betting-odds method to prospect theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 179-199, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:hlthec:v:17:y:2008:i:12:p:1329-1344. 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: . General contact details of provider: http://www3.interscience.wiley.com/cgi-bin/jhome/5749 .

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www3.interscience.wiley.com/cgi-bin/jhome/5749 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.