You Must Be an Idiot!

Who can tell who's really an idiot and who's faking? Each round, everyone is dealt a card telling them whether they are an idiot or not. The current genius asks one trivia question from the cards they hold. Everyone writes down his or her answer, but if a player is an idiot, he must answer incorrectly. Once all the answers are revealed, the player must figure out who's definitely an idiot. But if someone is erroneously called an idiot, he can steal the accuser’s points. Idiots who don't get caught get bonus points. So the question to be asked in this game is ... who's really the idiot and who's just fooling?