Does Lord Tyrion Die?

In spite of his death sentence, Tyrion does not die in the Game of Thrones finale. Instead, he manages to talk Jon Snow into assassinating Daenerys and is eventually pardoned by Westeros' new king, Bran Stark (who is now called Bran the Broken, as if that's a complimentary title).

Does Lord Tywin die?

With Tywin's death, "It's never been so unsettled," episode director Alex Graves says. ... Instead of leaving, Tyrion heads to Tywin's quarters where he finds his former lover, Shae (Sibel Kekilli), in his father's bed. He strangles her, finds Tywin on the toilet and kills him, in an artful touch, with Joffrey's crossbow.

What happens to Tyrion Lannister in the end?

Tyrion is wounded by Ser Mandon. He is trapped outside the walls by a group of reinforcements and then betrayed by Ser Mandon. Mandon slashes Tyrion across the face but Podrick kills him with a spear before he can finish Tyrion off.