I think it depends on the university.
I remember when I applied, I was offered various things at various stages. I was offered a place and living stipend by one school, followed by a tuition scholarship that was through the faculty later that day.
For a different university, I was offered a place but no scholarship, and then when second round came, I was offered a full scholarship even though I hadn't accepted the offer (by that point I had accepted the other school).
So I guess it'll depend? I don't know about multiple acceptances...I've never done it.