Standard Risk Aversion
This paper introduces the concept of standard risk aversion. A von Neumann-Morgenstern utility function has standard risk aversion if every risk that has a negative interaction with a small reduction in wealth also has a negative interaction with any undesirable, independent risk. It is shown that, given monotonicity and concavity, the combination of decreasing absolute risk aversion and decreasing absolute prudence is necessary and sufficient for standard risk aversion. Standard risk aversion is shown to imply not only Pratt and Zeckhauser's 'proper risk aversion' (an undesirable risk always remaining undesirable in the presence of an independent undesirable risk), but also that being forced to face an undesirable risk reduces the optimal investment in a risky security with an independent return. Copyright 1993 by The Econometric Society.
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Volume (Year): 61 (1993)
Issue (Month): 3 (May)
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- Kimball, Miles S, 1990.
"Precautionary Saving in the Small and in the Large,"
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- Kihlstrom, Richard E & Romer, David & Williams, Steve, 1981. "Risk Aversion with Random Initial Wealth," Econometrica, Econometric Society, vol. 49(4), pages 911-920, June.
- Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
- Pratt, John W, 1988. "Aversion to One Risk in the Presence of Others," Journal of Risk and Uncertainty, Springer, vol. 1(4), pages 395-413, December.
- A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 353-360. Full references (including those not matched with items on IDEAS)
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