We argue that there is a marked shift in the moral weight of an increment in a person's well-being when one moves from a case involving only intra-personal trade-offs to a case involving only inter-personal trads-offs. This shift, we propose, is required by the separateness of persons. We also argue that the Priority View put forward by Parfit cannot account for such a shift. We also outline two alternative views, an egalitarian view and a claims-based view, that can account for (...) this shift. (shrink)