Tyrion is well enough alive, though he does get shit on quite a bit along the way. What IS annoying is that Martin developed a nasty habit of "killing" key characters - basically, they are about to die, then the chapter ends and it's the last chapter about that particular character. And it's infuriating! People who have read the books know what I'm talking about, like a certain hanging that happened at the end of Book 4, and there's been no word about that person since then. And this is one of the things show watchers will never have to deal with, at least to this extent, as the show creators seem quite willing to reshuffle events a bit so none of the characters are out of it for too long...