Ross risk vulnerability for introductions and changes in background risk
We present two theorems that provide necessary and sufficient conditions for an expected utility maximizer to become more risk averse in the sense of Ross with respect to bearing a foreground risk after the introduction of any independent fair or unfair additive background risk. We call these decision makers Ross risk vulnerable, and show that Ross decreasing absolute risk aversion and Ross decreasing absolute prudence are jointly sufficient for Ross risk vulnerability. Restrictions on utility necessary and sufficient for Ross risk vulnerability with respect to stochastic dominance deteriorations of an existing background risk are also presented. Our analysis concludes with applications of Ross risk vulnerability.
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- Mohamed Belhaj & Renaud Bourl?s & Fr?d?ric Dero?an, 2014.
"Risk-Taking and Risk-Sharing Incentives under Moral Hazard,"
American Economic Journal: Microeconomics,
American Economic Association, vol. 6(1), pages 58-90, February.
- Mohamed Belhaj & Renaud Bourlès & Frédéric Deroïan, 2010. "Moral hazard and risk-sharing: risk-taking as an incentive tool," Working Papers halshs-00512779, HAL.
- Christian Gollier, 2004. "The Economics of Risk and Time," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262572249, December.
- EECKHOUDT, Louis & SCHLESINGER, Harris, .
"Putting risk in its proper place,"
CORE Discussion Papers RP
1871, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Athey, Susan, 2002. "Monotone Comparative Statics Under Uncertainty," Scholarly Articles 3372263, Harvard University Department of Economics.
- Turnbull, S M, 1983. "Additional Aspects of Rational Insurance Purchasing," The Journal of Business, University of Chicago Press, vol. 56(2), pages 217-29, April.
- Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 187-223.
- Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-23, September.
- Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-38, May.
- Gregory M. Gelles & Douglas W. Mitchell, 1999. "Broadly Decreasing Risk Aversion," Management Science, INFORMS, vol. 45(10), pages 1432-1439, October.
- Israel Finkelshtain & James A. Chalfant, 1993. "Portfolio Choices in the Presence of Other Risks," Management Science, INFORMS, vol. 39(8), pages 925-936, August.
- Martin Gaynor & Paul Gertler, 1995.
"Moral Hazard and Risk Spreading in Partnerships,"
RAND Journal of Economics,
The RAND Corporation, vol. 26(4), pages 591-613, Winter.
- EECKHOUDT, Louis & Christian GOLLIER & Harris SCHLESINGER, 1994.
"Changes in Background Risk and Risk Taking Behavior,"
005, Risk and Insurance Archive.
- Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996. "Changes in Background Risk and Risk-Taking Behavior," Econometrica, Econometric Society, vol. 64(3), pages 683-89, May.
- M. Denuit & L. Eeckhoudt, 2010.
"Stronger measures of higher-order risk attitudes,"
- Dutta, Prajit K. & Radner, Roy, 1994. "Moral hazard," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 26, pages 869-903 Elsevier.
- Christopher D. Carroll & Miles S. Kimball, 1995.
"On the concavity of the consumption function,"
Finance and Economics Discussion Series
95-10, Board of Governors of the Federal Reserve System (U.S.).
- Kimball, Miles S, 1993.
"Standard Risk Aversion,"
Econometric Society, vol. 61(3), pages 589-611, May.
- Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-54, January.
- Lajeri-Chaherli, Fatma, 2004. "Proper prudence, standard prudence and precautionary vulnerability," Economics Letters, Elsevier, vol. 82(1), pages 29-34, January.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Machina, Mark J & Pratt, John W, 1997. "Increasing Risk: Some Direct Constructions," Journal of Risk and Uncertainty, Springer, vol. 14(2), pages 103-27, March.
- Wagener, Andreas, 2006. "Chebyshev's Algebraic Inequality and comparative statics under uncertainty," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 217-221, September.
- Miles S. Kimball, 1989.
"Precautionary Saving in the Small and in the Large,"
NBER Working Papers
2848, National Bureau of Economic Research, Inc.
- Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
- Bruno Jullien & Bernard Salanié & François Salanié, 2007. "Screening risk-averse agents under moral hazard: single-crossing and the CARA case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 151-169, January.
- Pratt, John W, 1990. "The Logic of Partial-Risk Aversion: Paradox Lost," Journal of Risk and Uncertainty, Springer, vol. 3(2), pages 105-13, June.
- Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
- Donald Keenan & Donald Rudow & Arthur Snow, 2008. "Risk preferences and changes in background risk," Journal of Risk and Uncertainty, Springer, vol. 36(2), pages 139-152, April.
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