  We discuss the prospect of deblending microlensing events by observing
astrometric shifts of the lensed stars. Since microlensing searches are
generally performed in very crowded fields, it is expected that stars will be
confusion limited rather than limited by photon statistics. By performing
simulations of events in crowded fields, we find that if we assume a dark lens
and that the lensed star obeys a power law luminosity function, $n(L)\propto
L^{-\beta}$, over half the simulated events show a measurable astrometric
shift. Our simulations included 20000 stars in a $256\times 256$ Nyquist
sampled CCD frame. For $\beta=2$, we found that 58% of the events were
significantly blended $(F_{\ast}/F_{tot}\leq 0.9)$, and of those, 73% had a
large astrometric shift $(\geq 0.5 pixels)$. Likewise, for $\beta=3$, we found
that 85% of the events were significantly blended, and that 85% of those had
large shifts. Moreover, the shift is weakly correlated to the degree of
blending, suggesting that it may be possible not only to detect the existence
of a blend, but also to deblend events statistically using shift information.
