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G™Decision TheoryNewcomb's Paradox

Imagine Omega, a perfectly honest being which is also known to be a historically very accurate predictor of people's actions in this situation, sets up two boxes containing things, and gives you a choice between taking box A and B and box B alone. At the time this is set to you, the contents of the boxes are fixed.

Box A contains $10000, an amount of money. It's transparent, so you can see that it contains this. Box B is opaque, but you are told (by Omega, who is perfectly honest) that it contains $1000000, a larger amount of money, iff it predicted earlier that you would take only box B.

A CDT agent reasons that, regardless of what happened in the past, they will always get an extra $10000 by taking box A and B. Omega predicts this, so they receive a total of $10000.

An EDT agent reasons that their behaviour now is evidence about what the (unobserved) opaque box's contents are - conditional on them taking box A and B, the B very probably contains nothing, and conditional on them taking B only, B very probably contains $10000000. As such, they take box B only and receive $1000000.

The problem is sometimes criticized for artificially "rewarding irrationality" (EDT-like behaviour), but Decision Theory/Newcomblike Problems Are The Norm.

Generalizations

The Transparent Newcomb's Paradox variant makes both boxes transparent. This results in EDT no longer necessarily oneboxing (picking only B).