There are several heroic qualities that are similar between the characters of Oedipus and Troy Maxson. The typical qualities of a tragic hero are strength, cunning, and pride (hubris). These qualities allow them to succeed in a variety of ways but the trend of hubris leads to their downfall.
They are both strong, physically, as Troy is a former athlete and described as a physically imposing man and Oedipus is clearly a powerful king who was able to physically overcome his father, the former king. Additionally, they both possess intelligence and cunning. Troy clearly has plans to improve his lot, wanting to become a driver and frequently asking his boss why blacks aren't allowed to drive the trucks, challenging his authority. Oedipus is also cunning, as he leads the country with intelligence, and overcomes the sphinx's riddles.
Most importantly, however, their hubris, or pride, define them as tragic heroes. Obviously, Oedipus had pride issues, killing a man over his mockery of his parentage, and eventually his pride led to his destruction when he refused to heed Tiberias's advice and sought to ensure his rule by finding the former king and ensuring his death—which revealed who he was and what he had done. Troy was a victim of hubris as well as he engaged in an ongoing affair and thought himself better than and above his family. His child out of wedlock proves his undoing as his wife denounces him even though she vows to raise the motherless child.