Answer:
That he refuses to listen to reason and that he will not give up on a murder investigation are ways in which Oedipus is stubborn in "Oedipus Rex" by Sophocles (495 B.C.E. - 405 B.C.E.).
Specifically, stubbornness refers to an unwillingness to change words, thoughts or deeds in accordance with shifting circumstances. This description fits Theban King Oedipus. For example, he refuses to listen to Creon's reasonable self-defense against the unreasonable charge of conspiracy to commit treason. This is not at all admirable. But his stubbornness is admirable when he persists in carrying the investigation into King Laius' murder to its dreadful conclusion.