Partial Identification of Marginal Treatment Effects with Discrete Instruments and Misreported Treatment*

This paper provides partial identification results for the marginal treatment effect (MTE) when the binary treatment variable is potentially misreported and the instrumental variable is discrete. Identification results are derived under smoothness assumptions. Bounds for both the case of misreported treatment and the case of no misreported treatment are derived. The identification results are illustrated by identifying the marginal treatment effects of food stamps on health.