Grudge Matches I'd Like to See: Audrey Hepburn vs. Katharine Hepburn

Bloodlust on! Two Hollywood superstars, tired of people thinking they're related just because they use the same last name, decide to face off for an all-out fight to the death. Who wins this battle?

Note: This is a question of who'd win in a fight, not who's a better star (the answer to that is Audrey, but since I don't much like almost any Katharine performance after 1940 or so, I may be unfairly prejudiced).