  We have simulated disk galaxies undergoing continual bombardment by other
galaxies in a rich cluster. "Galaxy harassment" leads to dramatic evolution of
smaller disk galaxies and provides an extremely effective mechanism to fuel a
central quasar. Within a few billion years after a small disk galaxy enters the
cluster environment, up to 90% of its gas can be driven into the inner 500 pc.
Up to half of the mass can be transferred in a burst lasting just 100-200 Myr.
This transport of gas to the center of galaxy is far more efficient than any
mechanism proposed before. Galaxy harassment was first proposed to explain the
disturbed blue galaxies in clusters seen in clusters at ($z \gsim 0.3$), the
"Butcher-Oemler effect". Quasars at the same reshifts lie in more clustered
environments than those at lower redshift. Recent HST observations find that
roughly half of all observed quasar host galaxiess are fainter than \l*, with
many of these less luminous hosts occuring at redshifts $z \gsim 0.3$. We
examine 5 quasars that are claimed to have low luminosity hosts and find that 3
are in rich clusters of galaxies, the fourth may be in a cluster but the
evidence for this is marginal. The environment of the fifth has not been
studied.
