  This paper establishes sufficient conditions for the identification of the
marginal treatment effects with multivalued treatments. Our model is based on a
multinomial choice model with utility maximization. Our MTE generalizes the MTE
defined in Heckman and Vytlacil (2005) in binary treatment models. As in the
binary case, we can interpret the MTE as the treatment effect for persons who
are indifferent between two treatments at a particular level. Our MTE enables
one to obtain the treatment effects of those with specific preference orders
over the choice set. Further, our results can identify other parameters such as
the marginal distribution of potential outcomes.
