Before revision:  As examples, the  set of superhedging portfolios in markets with  transaction costs is shown to have the stability property  and a multi-portfolio time consistent version of the set-valued average value at risk, the composed AV@R, is given and its dual representation deduced.
After revision:  As examples, the set of superhedging portfolios in markets with transaction costs is shown to have the stability property and in markets with convex transaction costs is shown to satisfy the composed cocycle condition, and a multi-portfolio time consistent version of the set-valued average value at risk, the composed AV@R, is given and its dual representation deduced.