  We use exact general solutions for the spatially flat FRW and the anisotropic
Bianchi I cosmologies to show that generically uncoupled scalar fields
cooperate to make inflation more probable, while the presence of several
interacting fields hinders the occurrence of the phenomenon, in accordance with
previous results based on particular power-law solutions. Similar conclusions
are reached in the case of Bianchi VI$_0$ spacetimes, for power-law solutions
which are proved to be attractors.
