Question: does creon want to be king of thebes

Answer: No, In Oedipus Rex, Creon is a brother of queen Jocasta, the wife of King Laius as well as Oedipus. Laius, a previous king of Thebes, had given the rule to Creon while he went to consult the oracle at Delphi. During Laius's absence, the Sphinx came to Thebes. When word came of Laius's death, Creon offered the throne of Thebes as well as the hand of his sister (and Laius' widow) Jocasta, to anyone who could free the city from the Sphinx. Oedipus answered the Sphinx's riddle and married Jocasta, unaware that she was his mother. Over the course of the play, as Oedipus comes closer to discovering the truth about Jocasta, Creon plays a constant role close to him. When Oedipus summons Tiresias to tell him what is plaguing the city and Teiresias tells him that he is the problem, Oedipus accuses Creon of conspiring against him. Creon argues that he does not want to rule and would, therefore, have no incentive to overthrow Oedipus. However, when the truth is revealed about Jocasta, and Oedipus requests to be exiled, it is Creon who grants his wish and takes the throne in his stead.