Tyrion Lannister’s trial in Game of Thronesseason 4 is among the tensest storylines of the entire series, and for a while, it really seems like Tywin is willing to let his youngest son be executed. He doesn’t intervene when Cersei tells the Kingsguard to arrest Tyrion for Joffrey’s murder. He also offers no assurances to Tyrion as he sits in a prison cell; in fact, he doesn’t visit him at all. Tywin makes no secret of his hostile feelings towards Tyrion throughout Game of Thrones, but he also places practicality and the family reputation above all else.