It's not so much different types of powerplay, but different types of power. Are you talking about Antony and Cleopatra? If you are, as you already mentioned there's political and sexual power, but there's also military power that Antony is representative of ("plated Mars" - Mars being the Roman god of war) - Caesar and Antony use their military power to destroy Lepidus; Sextus Pompeius displays social power from his popularity with the people - he is seen as a threat to the Triumvirate. He inherits this popularity from his father Pompey the Great.
Umm... sorry, that's all I think of for now. I'd help more but I just realised I lost my copy of Antony and Cleopatra while trying to answer this.