Stochastic dominance with respect to a capacity and risk measures
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DOI: 10.1515/strm-2014-1167
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References listed on IDEAS
- Alfred Galichon & Ivar Ekeland & Marc Henry, 2009.
"Comonotonic measures of multivariates risks,"
Working Papers
hal-00401828, HAL.
- Ivar Ekeland & Alfred Galichon & Marc Henry, 2012. "Comonotonic measures of multivariate risks," Post-Print hal-01053550, HAL.
- Ivar Ekeland & Alfred Galichon & Marc Henry, 2012. "Comonotonic measures of multivariate risks," Sciences Po publications info:hdl:2441/5rkqqmvrn4t, Sciences Po.
- Ivar Ekeland & Alfred Galichon & Marc Henry, 2012. "Comonotonic measures of multivariate risks," SciencePo Working papers Main hal-01053550, HAL.
- Ivar Ekeland & Alfred Galichon & Marc Henry, 2021. "Comonotonic measures of multivariate risks," Papers 2102.04175, arXiv.org.
- Colangelo, Antonio & Scarsini, Marco & Shaked, Moshe, 2006.
"Some positive dependence stochastic orders,"
Journal of Multivariate Analysis, Elsevier, vol. 97(1), pages 46-78, January.
- Marco Scarsini & Antonio Colangelo & Moshe Shaked, 2006. "Some positive dependence stochastic orders," Post-Print hal-00539122, HAL.
- repec:dau:papers:123456789/2278 is not listed on IDEAS
- Alexander Cherny & Pavel Grigoriev, 2007. "Dilatation monotone risk measures are law invariant," Finance and Stochastics, Springer, vol. 11(2), pages 291-298, April.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- repec:dau:papers:123456789/5392 is not listed on IDEAS
- repec:hal:spmain:info:hdl:2441/5rkqqmvrn4tl22s9mc4b1h6b4 is not listed on IDEAS
- Denuit Michel & Dhaene Jan & Goovaerts Marc & Kaas Rob & Laeven Roger, 2006.
"Risk measurement with equivalent utility principles,"
Statistics & Risk Modeling, De Gruyter, vol. 24(1), pages 1-25, July.
- Denuit Michel & Dhaene Jan & Goovaerts Marc & Kaas Rob & Laeven Roger, 2006. "Risk measurement with equivalent utility principles," Statistics & Risk Modeling, De Gruyter, vol. 24(1/2006), pages 1-25, July.
- Rose‐Anne Dana, 2005. "A Representation Result For Concave Schur Concave Functions," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 613-634, October.
- Gilboa, Itzhak, 1987.
"Expected utility with purely subjective non-additive probabilities,"
Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
- Gilboa, Itzhak, 1985. "Expected Utility with Purely Subjective Non-Additive Probabilities," Foerder Institute for Economic Research Working Papers 275389, Tel-Aviv University > Foerder Institute for Economic Research.
- Itzhak Gilboa, 1987. "Expected Utility with Purely Subjective Non-Additive Probabilities," Post-Print hal-00756291, HAL.
- Schmeidler, David, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
- David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
- Wang, Shaun S. & Young, Virginia R. & Panjer, Harry H., 1997. "Axiomatic characterization of insurance prices," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 173-183, November.
- repec:hal:wpspec:info:hdl:2441/5rkqqmvrn4tl22s9mc4b1h6b4 is not listed on IDEAS
- Miryana Grigorova, 2011. "Stochastic dominance with respect to a capacity and risk measures," Working Papers hal-00639667, HAL.
- Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
- Denneberg, Dieter, 1990. "Premium Calculation: Why Standard Deviation Should be Replaced by Absolute Deviation1," ASTIN Bulletin, Cambridge University Press, vol. 20(2), pages 181-190, November.
- Carlier Guillaume & Dana Rose-Anne, 2006. "Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints," Statistics & Risk Modeling, De Gruyter, vol. 24(1/2006), pages 1-26, July.
- Wang, Shaun, 1996. "Premium Calculation by Transforming the Layer Premium Density," ASTIN Bulletin, Cambridge University Press, vol. 26(1), pages 71-92, May.
- Song, Yongsheng & Yan, Jia-An, 2009. "Risk measures with comonotonic subadditivity or convexity and respecting stochastic orders," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 459-465, December.
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