2011-11-28Buch DOI: 10.18452/3045
On the Geometry of Acceptability Functionals
In this paper we discuss the geometry of acceptability functionals or risk measures. The dependence of the random variable is investigated ﬁrst. The main contribution and focus of this paper is to study how acceptability functionals vary whenever the underlying probability measure is perturbed. It turns out that the Wasserstein distance provides a valuable notion of distance, and may acceptability functionals allow a precise quantiﬁcation in terms of this distance.
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