We construct a class of simple and calculable theories for the supersymmetry-breaking soft terms, They are based on quantum modified moduli spaces. These theories do not break supersymmetry in their ground state; instead we postulate that we live in a supersymmetry-breaking plateau of false vacua, We demonstrate that tunneling from the plateau to the supersymmetric ground state is highly suppressed. At one loop, the plateau develops a local minimum which can be anywhere between 10(8) GeV and the grand unification scale. The value of this minimum is the mass of the messengers of supersymmetry breaking. Primordial element abundances indicate that the messenger mass is smaller than 10(12) GeV. (C) 1998 Elsevier Science B.V.