  We review two off-shell models for spontaneously broken ${\cal N}=1$ and
${\cal N}=2$ supergravity proposed in arXiv:1702.02423 and arXiv:1707.07390.
The ${\cal N}=1$ model makes use of a real scalar superfield subject to three
nilpotency conditions. The ${\cal N}=2$ theory is formulated in terms of a
reduced chiral superfield obeying a cubic nilpotency condition. New results on
nilpotent ${\cal N}=1$ supergravity are also included.
