Well, let’s start with the fact that it is not that easy for international students to gain admission to a college or university of Haverford’s caliber, the main problem being the availability of financial aid. Unless you are from an incredibly wealthy family, an athletic hook is one of the few real advantages an intel may have available to them in getting admitted.
That being said, it bears repeating that small schools (relative to places like Harvard, Yale or Princeton) may not be known to the general public but have enormous reputations among the ruling elites (or, what passes for them in America, e.g. Wall Street, academia and, perhaps, the entertainment industry.) So, yes. With proper advising at the career counseling level, it is perfectly possible to find a job with a Haverford degree in Economics.
I think at most places similar to Haverford, a major in mathematical economics would still be considered a form of economics, not a STEM major.