This book reviews recent approaches for partial identification of
average treatment effects with instrumental variables in the program
evaluation literature, including Manski's bounds, bounds based on
threshold crossing models, and bounds based on the Local Average
Treatment Effect (LATE) framework. It compares these bounds across
different sets of assumptions, surveys relevant methods to assess the
validity of these assumptions, and discusses estimation and inference
methods for the bounds. The book also reviews some empirical
applications employing bounds in the program evaluation literature. It
aims to bridge the gap between the econometric theory on which the
different bounds are based and their empirical application to program
evaluation.