But only for us. They obviously don't do the same thing though or they'd be paid the same and have the same job title.
Without the transparency, I'd guess the responsibility is pretty much what their job titles actually are. Year by year, Falvey decides what he wants to see from the team (one year, fewer strikeouts and higher OBP, another year, more HR and more position flexibility, whatever) and Levine identifies the free agents and trade targets. Wide organizational collaboration and discussion after that for sure.
With that presumption, I keep Falvey (mostly in fear of the team swinging in the exact opposite direction and going with another old-school, throw-your-computers-away type like Terry Ryan) and replace Levine who I think repeatedly is making dreadful decisions on no-upside free agents and poor calls on the demotions/promotions.
But really, of St. Peter, Falvey, Levine and Baldelli, Falvey is the only one I'd consider retaining. But if he too is not retained, that's fine too.