You are thinking of press kits, which contain pianists' media (pictures, recordings, posters; these days often digitized) and other information such as technical rider, fee sheet, anything pertaining to outreach activities (like masterclasses or lectures). I don't know the official format of a fee schedule, which would have to indicate what expenses are covered by the base fee, and which are not included.
For example, Kissin might charge for a solo recital, 25,000 Euros; then on top of that, his contract/fee schedule will ask for certain hotel accommodations, probably specific flight reservations, etc. Whatever costs him money, will go into that. Some pianists have a flat fee, and their expenses are included in that fee.
One time, on a small and very uncomfortable airplane, I saw Radu Lupu, who is a large man, scrunched into a tiny seat. Well, he was just coming back from playing all 5 Beethoven concerti with the Cleveland Orchestra. My guess was, he has a flat fee, and makes his own reservations to keep down costs. This was a miserable airline and I cannot imagine the Cleveland Orchestra putting an artist in such a situation.
Speaking generally, the advantage of agents is that they have personal connections with venues. Just being a pianist who sends in a press kit, is usually not helpful. I know a fellow who managed a large series for a long time in a big city, and he told me he mainly just throws them in the trash. Not out of personal animosity, but because he gets so many.
The larger competitions will provide management for some time after one wins, I think Van Cliburn is two years, Cleveland might also be two years. I don't know about the Russian/European/Japanese ones but I imagine they are similar. I don't know many competition winners that stay with their management after the allotted time. Although people swear competitions are the only way to become successful, I think the very fact that 99% of the winners disappear shortly after they win is a reasonable doubt to that thesis.
Hope this little bit of information helps.
Walter Ramsey