Newcomb's Problem

An eccentric billionaire, who you believe can almost certainly predict your actions, presents you with a choice between two boxes. One box contains $1000, which you can clearly see. The other is is opaque, and already contains either $1M or nothing at all, but you cannot tell which. The choice is between (1) taking only the opaque box, or (2) taking both boxes. He predicted your choice, and has put $1M in the opaque box if he predicted you choose only that box, and nothing at all if he predicted you choose both. What should you choose?

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