  We have undertaken a long-term project, Planets in Stellar Clusters Extensive
Search (PISCES), to search for transiting planets in open clusters. In this
paper we present the results for NGC 6791 -- a very old, populous, metal rich
cluster. We have monitored the cluster for over 300 hours, spread over 84
nights. We have not detected any good transiting planet candidates. Given the
photometric precision and temporal coverage of our observations, and current
best estimates for the frequency and radii of short-period planets, the
expected number of detectable transiting planets in our sample is 1.5. We have
discovered 14 new variable stars in the cluster, most of which are eclipsing
binaries, and present high precision light curves, spanning two years, for
these new variables and also the previously known variables.
