  We study field theories with N extended non-linearly realized
supersymmetries, describing the couplings of models that contain N goldstini.
We review all the known formulations of the N=1 goldstino theories and we
generalize them to an arbitrary number N of non-linearly realized
supersymmetries. We explicitly prove the equivalence of all these extended
supersymmetry breaking models containing N goldstini and reformulate the theory
with N supersymmetries in terms of standard N=1 constrained superfields.
