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Are Shortfall Systemic Risk Measures One Dimensional?

Alessandro Doldi, Marco Frittelli and Emanuela Rosazza Gianin

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Abstract: Shortfall systemic (multivariate) risk measures $\rho$ defined through an $N$-dimensional multivariate utility function $U$ and random allocations can be represented as classical (one dimensional) shortfall risk measures associated to an explicitly determined $1$-dimensional function constructed from $U$. This finding allows for simplifying the study of several properties of $\rho$, such as dual representations, law invariance and stability.

Date: 2023-06
New Economics Papers: this item is included in nep-rmg and nep-upt
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