I would say that one of the primary heroic attributes in both protagonists is their relationship to their families. On some level, they both support and yet fail their families. Troy is a provider and does believe in the basic outline of financially supporting his family and acting as its head in title, but there is an emotionally supportive role that is missing. Oedipus certainly supports his family, but unknowingly betrays it in marrying his mother and killing his father. At the same time, I would say that another similarity between both figures is the sense of unease that seems to permeate the relationship between themselves and their worlds. It seems as if their interactions with the world and themselves are out of synchronicity and are disjointed. For Troy, this barrier might be caused by sociological reality and his own background, while for Oedipus, this is a state of affairs as to why Thebes suffers from a plague and his role in this suffering.