But all the Lannisters self-conceptualize as individuals, and the three participants of the Lannister triptych are unable to function as a familial unit because even though they all individually define themselves as Lannisters first and foremost, they pursue their ultimate ends competitively rather than cooperatively—Tywin Lannister brought them up to rival each other rather than work with each other. If they could function as a family, they would own the world without question or competition, but they can’t, and therefore they’re a tragedy (a compendium of individual tragedies that make up a coherent single tragic familial downfall) and the books are able to have a plot. They are proud above all, and pride is an intrinsically individualistic vice.