More How clever is the scheduler?

I just dropped Dish Network -- the cost, you know -- for DTV.  I'm 
looking at the Tivo HD DVRs, but wondered about the scheduling.

With the Dish Network DVR, when there was a timing conflict  between 
programs, the DVR would look for alternate broadcasts, then schedule 
accordingly.  Will Tivo do this?  Probably less an issue for DTV 
broadcasts -- fewer repeats than cable/sat networks, but just curious.