Introduced in 1996's A Game of Thrones, Tyrion is a dwarf and member of House Lannister, one of the wealthiest and most powerful families in the fictional kingdom of Westeros.
In A Game of Thrones, Tyrion is introduced as the third and youngest child of wealthy and powerful Tywin Lannister, the former Hand of the King. Described as an ugly, malformed dwarf with mismatched green and black eyes, Tyrion possesses the pale blond hair of a Lannister but has a complicated relationship with the rest of them. While he is afforded the privilege and luxuries of his family, he is treated as a "second class noble" because of his stature. Additionally, his mother Joanna had died giving birth to Tyrion, for which his relatives blame and loathe him. Further, The King's pride in his family name and rank is at odds with the reality that he has fathered a physically flawed child who repulses him but whom he is duty-bound to protect.
Tyrion is intelligent, witty and well-read, and shares his father's skill for business and political maneuvering. As an outcast, he displays sympathy for other outcasts, and the otherwise mistreated. Still, he is usually seen for his deformities and vices, rather than his virtues and good deeds.
Link to Daenerys Targaryen