TDT has to say that if the scenario where everyone donates you win, and you know that everyone else is using TDT or that the distribution of decision algorithms is likely to give sufficient "donate" outputs to make it better expected utility, then you should donate. Of course, if you have reliable data on others' decision algorithms, I'm pretty sure CDT and EDT and any other decision theory I've read about will boil down to an expected utility calculation or something pretty close.

Basically, as Vaniver says, all good DTs pretty much agree on this. TDT, CDT and EDT all agree that if you have common knowledge of a sufficient number of other people using the same decision theory (or, with more complicated calculations, various possible theories including those three) are interested in the book, you should all donate. This common knowledge, however, is usually the extremely costly, high-information-value part - the part about figuring out whether to donate or not seems trivial by comparison.