Odysseus exhibits his hamartia through hubris, as his arrogance led him to believe he could escape his own fate. Just as the prophet had forecasted, he killed his father and married his mother.
Anagnorisis
Oedipus projects his hubris as he attempts to escape his fate that is projected to him my a prophet. He kills a man and marries a woman, just as the prophet had predicted.
Catastrophe
Oedipus' fortune begins to go downhill as he begins to listen to Creon who had encountered the prophet.
Catharsis
Oedipus finds that Laius, the man he killed before coming king, is his father, and his wife Jocasta is his mother. He is in disbelief, but realizes he must tell Jocasta.
Oedipus tells Jocasta that he is her son, and that he murdered her ex-husband. Jocasta, unbeknownst that Oedipus is her son or that he killed Laius,commits suicide.
The audience is shocked by Jocasta killing herself. However, the audience did know of Oedipus' fate, and is taught the lesson that you cannot escape your fate.