A Million Dollar Puzzle: The Newcomb Paradox

You are paying a visit to Perfect Predictions, the world's most accurate clairvoyancy agency, in the hope of hearing some good news about the imminent demise of your Great Aunt Maud. However, you arrive to find that your consultation has been cancelled - due to entirely foreseen circumstances, obviously - and instead you're asked to play a game that should net you a very large sum of money.

You are told that the game has something to do with Newcomb's Paradox, though you're none the wiser for that.

Really Deep Thought

The most dangerous thing to do today is to be against torture, but to accept it as a legitimate topic of debate. This is the horror: that some topics that should simply be out of discussion are now becoming the terrain of legitimate discussion.
--Slavoj Zizek.