I too use Batman and Xanatos Gambits when playing a card game like I Doubt It (also known as Cheater, BS, and other names). First, I tell all the players that I play completely honestly, that I will only play the cards that I actually have.
object of the game is to get rid of all your cards by playing all of a certain card when it is your turn. For example, if it's your turn and it's on Jacks, you can either play the one Jack in your hand (honest), or you can stick an extra non-Jack card in there and hope you don't get caught. Stupid, right? Wrong. The other players will most likely assume that I am lying and will call "Cheater!" on every turn I lay down more than one card. That player is then punished for making an incorrect call by being forced to take all the cards currently in the pile. The other players will either also call "Cheater!" (and fail), or they will think, "Hm, guess he was truthful after all." Now, since I can't read minds, I can't tell exactly when people will start to believe that I am honest, so I will wait a few turns, to let my "honesty" sink in, and then start making bigger plays that are...a little less than honest. Little by little, I empty my hand and win. The Xanatos part comes in when an opponent sees through my ruse and correctly calls "Cheater!" on me. While I am forced to take a large pile of cards, this allows me to make 2- and 3-card plays (sometimes even 4-card plays) with impunity, getting me back in the game quicker.