An inner bound to the capacity region for identification via a broadcast channel with feedback and a soft outer bound to the capacity region of a general broadcast channel without feedback are established, allowing randomized encoding in both cases. These results can be combined to determine the identification capacity region for the deterministic broadcast channel; the set of achievable second-order rate pairs (R/sub 1/,R/sub 2/) for the deterministic broadcast channel is given by the constraints 0 >