We study a class of generalized models of gauge mediated supersymmetry brea
king (GMSB). We find the parameters and the full particle spectrum of the m
inimal supersymmetric standard model (MSSM) for all GMSB models with messen
ger multiplicities that satisfy the perturbativity of the gauge couplings u
p to the GUT scale. We give a detailed description of the algorithm that ha
s been used to predict all the unmeasured parameters of the MSSM by taking
(one-loop) radiative effects into account. We also calculate the branching
ratio BR(b --> s gamma) and find that it always turns out to be larger than
the standard model prediction. However, we find that the branching ratio t
ypically remains within the current experimental bounds, except for some sp
ecial cases with a light charged Higgs boson, or a small supersymmetry brea
king scale and a negative mu-parameter. (C) 1999 Elsevier Science B.V. All
rights reserved.