Risk apportionment via bivariate stochastic dominance
This paper extends to bivariate utility functions, Eeckhoudt et al.’s (2009) result for the combination of ‘bad’ and ‘good’. The decision-maker prefers to get some of the ‘good’ and some of the ‘bad’ to taking a chance on all the ‘good’ or all the ‘bad’ where ‘bad’ is defined via (N,M)-increasing concave order. We generalize the concept of bivariate risk aversion introduced by Richard (1975) to higher orders. Importantly, in the bivariate framework, preference for the lottery [(X̃,T̃);(Ỹ,Z̃)] to the lottery [(X̃,Z̃);(Ỹ,T̃)] when (X̃,Z̃) dominates (Ỹ,T̃) via (N,M)-increasing concave order allows us to assert bivariate risk apportionment of order (N,M) and to extend the concept of risk apportionment defined by Eeckhoudt and Schlesinger (2006).
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- 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).
- Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2006.
"Multiplicative Background Risk,"
INFORMS, vol. 52(1), pages 146-153, January.
- Louis Eeckhoudt & Harris Schlesinger & Ilia Tsetlin, 2008.
"Apportioning of Risks via Stochastic Dominance,"
CESifo Working Paper Series
2467, CESifo Group Munich.
- EECKHOUDT, louis & REY, BÃ©atrice & 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).
- 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.
- Edwards, Ryan D, 2008. "Health Risk and Portfolio Choice," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 472-485.
- Harvey S. Rosen & Stephen Wu, 2003.
"Portfolio Choice and Health Status,"
NBER Working Papers
9453, National Bureau of Economic Research, Inc.
- L. Eeckhoudt & H. Schlesinger, 2006. "Putting risk in its proper place," Post-Print hal-00283170, HAL.
- Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
- X. Henry Wang & Carmen F. Menezes, 2004.
"Increasing Outer Risk,"
0413, Department of Economics, University of Missouri, revised 23 Dec 2004.
- Scarsini, Marco, 1985. "Stochastic dominance with pair-wise risk aversion," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 187-201, April.
- L. Eeckhoudt & H. Schlesinger & Béatrice Rey, 2007. "A good sign for multivariate risk taking," Post-Print hal-00283446, HAL.
- Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed, 1999. "A class of bivariate stochastic orderings, with applications in actuarial sciences," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 31-50, March.
- John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, 06.
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