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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Volume (Year): 47 (2011)
Issue (Month): 4-5 ()
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- Menezes, Carmen F. & Wang, X.Henry, 2005.
"Increasing outer risk,"
Journal of Mathematical Economics,
Elsevier, vol. 41(7), pages 875-886, November.
- X. Henry Wang & Carmen F. Menezes, 2004. "Increasing Outer Risk," Working Papers 0413, Department of Economics, University of Missouri, revised 23 Dec 2004.
- Eeckhoudt, Louis & Schlesinger, Harris & Tsetlin, Ilia, 2009. "Apportioning of risks via stochastic dominance," Journal of Economic Theory, Elsevier, vol. 144(3), pages 994-1003, May.
- EECKHOUDT, Louis & SCHELSINGER, Harris & TSETLIN, Ilia, "undated". "Apportioning of risks via stochastic dominance," CORE Discussion Papers RP 2096, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- H. Schlesinger & L. Eeckhoudt & I. Tsetlin, 2009. "Apportioning of risks via stochastic dominance," Post-Print hal-00567952, HAL.
- Louis Eeckhoudt & Harris Schlesinger & Ilia Tsetlin, 2008. "Apportioning of Risks via Stochastic Dominance," CESifo Working Paper Series 2467, CESifo Group Munich.
- Rosen, H.S.Harvey S. & Wu, Stephen, 2004. "Portfolio choice and health status," Journal of Financial Economics, Elsevier, vol. 72(3), pages 457-484, June.
- Harvey S. Rosen & Stephen Wu, 2003. "Portfolio Choice and Health Status," NBER Working Papers 9453, National Bureau of Economic Research, Inc.
- Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
- EECKHOUDT, Louis & SCHLESINGER, Harris, "undated". "Putting risk in its proper place," CORE Discussion Papers RP 1871, 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.
- L. Eeckhoudt & H. Schlesinger, 2006. "Putting risk in its proper place," Post-Print hal-00283170, HAL.
- Edwards, Ryan D, 2008. "Health Risk and Portfolio Choice," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 472-485.
- Louis Eeckhoudt & Béatrice Rey & Harris Schlesinger, 2007. "A Good Sign for Multivariate Risk Taking," Management Science, INFORMS, vol. 53(1), pages 117-124, January.
- EECKHOUDT, louis & REY, Béatrice & SCHLESINGER, Harris, "undated". "A good sign for multivariate risk taking," CORE Discussion Papers RP 1900, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- L. Eeckhoudt & H. Schlesinger & Béatrice Rey, 2007. "A good sign for multivariate risk taking," Post-Print hal-00283446, HAL.
- Louis Eeckhoudt & Béatrice Rey & Harris Schlesinger, 2006. "A Good Sign for Multivariate Risk Taking," CESifo Working Paper Series 1796, CESifo Group Munich.
- Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2006. "Multiplicative Background Risk," Management Science, INFORMS, vol. 52(1), pages 146-153, January.
- 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).
- Scarsini, Marco, 1985. "Stochastic dominance with pair-wise risk aversion," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 187-201, April.
- Marco Scarsini, 1985. "Stochastic dominance with pair-wise risk aversion," Post-Print hal-00542275, HAL.
- 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.
- 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.
- Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
- 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. Full references (including those not matched with items on IDEAS)
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