  In the context of dynamical breaking of local supersymmetry (supergravity),
including the Deser-Zumino super-Higgs effect, for the simple but quite
representative cases of N=1, D=4 supergravity, we discuss the emergence of
Starobinsky-type inflation, due to quantum corrections in the effective action
arising from integrating out gravitino fields in their massive phase. This type
of inflation may occur after a first-stage small-field inflation that
characterises models near the origin of the one-loop effective potential, and
it may occur at the non-trivial minima of the latter. Phenomenologically
realistic scenarios, compatible with the Planck data, may be expected for the
conformal supergravity variants of the basic model.
