Before revision:  This allows us to apply standard Fenchel-Moreau techniques to tackle duality also for systemic risk measures . The same approach can be also successfully employed to obtain an elementary proof of the dual representation of "first aggregate , then allocate" -type systemic risk measures.
After revision:  This allows us to apply standard Fenchel-Moreau techniques to tackle duality also for systemic risk measures of both "first aggregate , then allocate" -type systemic risk measures.