On cross-risk vulnerability
We introduce the notion of cross-risk vulnerability to generalize the concept of risk vulnerability introduced by Gollier and Pratt [Gollier, C., Pratt, J.W. 1996. Risk vulnerability and the tempering effect of background risk. Econometrica 64, 1109-1124]. While risk vulnerability captures the idea that the presence of an unfair financial background risk should make risk-averse individuals behave in a more risk-averse way with respect to an independent financial risk, cross-risk vulnerability extends this idea to the impact of a non-financial background risk on the financial risk. It provides an answer to the question of the impact of a background risk on the optimal coinsurance rate and on the optimal deductible level. We derive necessary and sufficient conditions for a bivariate utility function to exhibit cross-risk vulnerability both toward an actuarially neutral background risk and toward an unfair background risk. We also analyze the question of the sub-additivity of risk premia and show to what extent cross-risk vulnerability provides an answer.
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- Bleichrodt, Han & Eeckhoudt, Louis, 2006.
"Survival risks, intertemporal consumption, and insurance: The case of distorted probabilities,"
Insurance: Mathematics and Economics,
Elsevier, vol. 38(2), pages 335-346, April.
- H. Bleichrodt & L. Eeckhoudt, 2006. "Survival risks, intertemporal consumption, and insurance: The case of distorted probabilities," Post-Print hal-00199632, HAL.
- John Quiggin, 2003. "Background risk in generalized expected utility theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 607-611, October.
- Doherty, Neil A. & Schlesinger, Harris, 1986. "A note on risk premiums with random initial wealth," Insurance: Mathematics and Economics, Elsevier, vol. 5(3), pages 183-185, July.
- Sloan, Frank A. & Kip Viscusi, W. & Chesson, Harrell W. & Conover, Christopher J. & Whetten-Goldstein, Kathryn, 1998. "Alternative approaches to valuing intangible health losses: the evidence for multiple sclerosis1," Journal of Health Economics, Elsevier, vol. 17(4), pages 475-497, August.
- Israel Finkelshtain & James A. Chalfant, 1993. "Portfolio Choices in the Presence of Other Risks," Management Science, INFORMS, vol. 39(8), pages 925-936, August.
- EECKHOUDT, louis & REY, Béatrice & SCHLESINGER, Harris, .
"A good sign for multivariate risk taking,"
CORE Discussion Papers RP
1900, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Louis Eeckhoudt & Harris Schlesinger, 2005.
"Putting Risk in its Proper Place,"
CESifo Working Paper Series
1462, CESifo Group Munich.
- 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).
- L. Eeckhoudt & H. Schlesinger, 2006. "Putting risk in its proper place," Post-Print hal-00283170, HAL.
- BLEICHRODT, Han & CRAINICH, David & EECKHOUDT, Louis, .
"Comorbidities and the willingness to pay for health improvements,"
CORE Discussion Papers RP
1699, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Bleichrodt, Han & Crainich, David & Eeckhoudt, Louis, 2003. "Comorbidities and the willingness to pay for health improvements," Journal of Public Economics, Elsevier, vol. 87(11), pages 2399-2406, October.
- BÈatrice Rey, 2003. "Total and partial Bivariate Risk Premia: An Extension," Theory and Decision, Springer, vol. 55(1), pages 59-69, 08.
- Christophe Courbage, 2001. "On Bivariate Risk Premia," Theory and Decision, Springer, vol. 50(1), pages 29-34, February.
- Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November.
- Menegatti, Mario, 2001. "On the Conditions for Precautionary Saving," Journal of Economic Theory, Elsevier, vol. 98(1), pages 189-193, May.
- Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-54, January.
- Eeckhoudt, L. & Gollier, C., 1998.
"Which Shape for the Cost Curve of Risk?,"
98.490, Toulouse - GREMAQ.
- Franke, Günter & Schlesinger, Harris & Stapleton, Richard C., 2002.
"Multiplicative background risk,"
Discussion Papers, various Research Units
FS IV 02-06, Social Science Research Center Berlin (WZB).
- Kihlstrom, Richard E & Romer, David & Williams, Steve, 1981. "Risk Aversion with Random Initial Wealth," Econometrica, Econometric Society, vol. 49(4), pages 911-20, June.
- 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.
- Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
- Thomas Eichner & Andreas Wagener, 2003. "Variance Vulnerability, Background Risks, and Mean-Variance Preferences," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 28(2), pages 173-184, December.
- Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
- Kimball, Miles S, 1993.
"Standard Risk Aversion,"
Econometric Society, vol. 61(3), pages 589-611, May.
- 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.
- Chiu, W.Henry, 2005. "Degree of downside risk aversion and self-protection," Insurance: Mathematics and Economics, Elsevier, vol. 36(1), pages 93-101, February.
- Günter Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 2005. "Incremental Risk Vulnerability," CoFE Discussion Paper 05-08, Center of Finance and Econometrics, University of Konstanz.
- Thomas Eichner, 2008. "Mean Variance Vulnerability," Management Science, INFORMS, vol. 54(3), pages 586-593, March.
- Doherty, Neil A & Schlesinger, Harris, 1983. "Optimal Insurance in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1045-54, December.
- Nachman, David C., 1982. "Preservation of "more risk averse" under expectations," Journal of Economic Theory, Elsevier, vol. 28(2), pages 361-368, December.
- Doherty, Neil A & Schlesinger, Harris, 1983. "The Optimal Deductible for an Insurance Policy When Initial Wealth Is Random," The Journal of Business, University of Chicago Press, vol. 56(4), pages 555-65, October.
- Quiggin, John & Chambers, Robert G, 1998. "Risk Premiums and Benefit Measures for Generalized-Expected-Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 17(2), pages 121-37, November.
- Kischka, Peter, 1988. "Aspects of optimal insurance demand when there are uninsurable risks," Insurance: Mathematics and Economics, Elsevier, vol. 7(1), pages 9-14, January.
- L. Eeckhoudt & C. Gollier & H. Schlesinger, 2005. "Economic and financial decisions under risk," Post-Print hal-00325882, HAL.
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