  The relative phase between two uncoupled BE condensates tends to attain a
specific value when the phase is measured. This can be done by observing their
decay products in interference. We discuss exactly solvable models for this
process in cases where competing observation channels drive the phases to
different sets of values. We treat the case of two modes which both emit into
the input ports of two beam splitters, and of a linear or circular chain of
modes. In these latter cases, the transitivity of relative phase becomes an
issue.
