  We initiate the study of strategic behavior in screening processes with
multiple classifiers. We focus on two contrasting settings: a conjunctive
setting in which an individual must satisfy all classifiers simultaneously, and
a sequential setting in which an individual to succeed must satisfy classifiers
one at a time. In other words, we introduce the combination of strategic
classification with screening processes.
  We show that sequential screening pipelines exhibit new and surprising
behavior where individuals can exploit the sequential ordering of the tests to
zig-zag between classifiers without having to simultaneously satisfy all of
them. We demonstrate an individual can obtain a positive outcome using a
limited manipulation budget even when far from the intersection of the positive
regions of every classifier. Finally, we consider a learner whose goal is to
design a sequential screening process that is robust to such manipulations, and
provide a construction for the learner that optimizes a natural objective.
