Efficient, anonymous, and continuous mechanisms for exchange environments w
ith a finite number of individuals are dominant strategy incentive compatib
le if and only if they are perfectly competitive, i.e., each individual is
unable to influence prices or anyone's wealth. Equivalently, in such a mech
anism each individual creates no externalities for others by her announceme
nt of a type. The characterization applies whether preferences are ordinal
or quasilinear, and it also applies to continuum economies. Perfectly compe
titive mechanisms are non-generic (although non-vacuous) in finite economie
s and are generic (but non-universal) in continuum economies. We use these
results to provide bridges to related work. Journal of Economic Literature
Classification Numbers: C72, D51, D62. (C) 1999 Academic Press.