I am working on a paper where we instrument for an endogenous regressor using multiple instruments. Can we still interpret our estimates as a local average treatment effect? The answer is yes! #EconSky

You could impose the standard (Angrist and Imbens) monotonicity assumption, but this requires assuming that all people respond more to one instrument than another. That is unlikely to hold in a heterogeneous population in most settings.

Nice. Thanks for the heads-up!