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- W2025780934 abstract "We study the differentiability properties of concave functionals defined as integrals of the quantile. These functionals generalize the rank dependent expected utility and are called rank-linear utilities in decision theory. Their superdifferential is described as well as the set of random variables where they are Gâteaux-differentiable. Our results generalize those obtained for the rank dependent expected utility in Ref. [Carlier, G., Dana, R.-A., 2003. Core of a convex distortion of a probability. Journal of Economic Theory 113, 199–222.]." @default.
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- W2025780934 title "Differentiability properties of rank-linear utilities" @default.
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- W2025780934 doi "https://doi.org/10.1016/j.jmateco.2007.04.002" @default.
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