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Risk Aversion and Expected-Utility Theory: A Calibration Theorem

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Author Info
Matthew Rabin (Economics Department, University of California, Berkeley)
Abstract

Within the expected-utility framework, the only explanation for risk aversion is that the utility function for wealth is concave: A person has lower marginal utility for additional wealth when she is wealthy than when she is poor. This paper provides a theorem showing that expected-utility theory is an utterly implausible explanation for appreciable risk aversion over modest stakes: Within expected-utility theory, for any concave utility function, even very little risk aversion over modest stakes implies an absurd degree of risk aversion over large stakes. Illustrative calibrations are provided.

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Paper provided by Department of Economics, Institute for Business and Economic Research, UC Berkeley in its series Department of Economics, Working Paper Series with number 1034.

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Date of creation: 01 Jun 2000
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Handle: RePEc:cdl:econwp:1034

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Keywords: Diminishing Marginal utility; expected utility; risk aversion;

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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.:
  1. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1991. "The Endowment Effect, Loss Aversion, and Status Quo Bias: Anomalies," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 193-206, Winter. [Downloadable!] (restricted)
  2. Bowman, David & Minehart, Deborah & Rabin, Matthew, 1999. "Loss aversion in a consumption-savings model," Journal of Economic Behavior & Organization, Elsevier, vol. 38(2), pages 155-178, February. [Downloadable!] (restricted)
  3. N. Gregory Mankiw & Stephen P. Zeldes, 1991. "The Consumption of Stockholders and Non-Stockholders," NBER Working Papers 3402, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Read, Daniel & Loewenstein, George & Rabin, Matthew, 1999. "Choice Bracketing," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 171-97, December. [Downloadable!] (restricted)
  5. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-54, January. [Downloadable!] (restricted)
  6. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March. [Downloadable!] (restricted)
  7. Benartzi, Shlomo & Thaler, Richard H, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, MIT Press, vol. 110(1), pages 73-92, February. [Downloadable!] (restricted)
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  8. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-54, Summer. [Downloadable!] (restricted)
  9. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June. [Downloadable!] (restricted)
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  10. Hellwig Martin F., 1995. "The Assessment of Large Compounds of Independent Gambles," Journal of Economic Theory, Elsevier, vol. 67(2), pages 299-326, December. [Downloadable!] (restricted)
  11. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-89, November. [Downloadable!] (restricted)
  12. Loomes, Graham & Segal, Uzi, 1994. "Observing Different Orders of Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 9(3), pages 239-56, December.
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  13. Epstein, Larry G. & Zin, Stanley E., 1990. "'First-order' risk aversion and the equity premium puzzle," Journal of Monetary Economics, Elsevier, vol. 26(3), pages 387-407, December. [Downloadable!] (restricted)
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