How much PR? Usually, in the case of dupe content, the page with the most PR wins (ie, the others get removed from the index).
I have seen some authoritative articles on subjects I follow ranking well on several sites, perhaps because each has lots of relevant inbound links directly to the article, but this is rare.
I think if I were to allow my content to be syndicated, I'd have a syndication version that was a fair amount different from the version on my site.