Oedipus is a man of high social standing and is a "hero" since he embodies the qualities of the people of his land (though his true royal identity is hidden from him since he was adopted), he attempts to do the right things at great cost to himself, and he does put too much emphasis on his own abilities, ie, he is arrogant.
He leaves his home to avoid the prophecy, only to fulfill it by killing his father and marrying his mother.
He vows to find the killer of his father at all costs, even though he doesn't realize the murderer is himself.
He is too arrogant to admit his errors and attempts to take it out on the blind soothsayer.
The result, then, is the prophecy fulfilled and Oedipus blinding himself before wandering aimlessly through the land.