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Philosophical question on higher level rollouts.

Posted By: Timothy Chow
Date: Saturday, 13 February 2010, at 3:15 a.m.

In Response To: Philosophical question on higher level rollouts. (Daniel Murphy)

Guilty of hyperbole as charged! Tone down the wording of my comments if you find them offensive. I still think it doesn't make a lot of sense to ask which bot setting dictates the "right" play for a particular human player.

I don't understand your comment about invisible ink. I frankly don't see any reason why equity maximization will lead to more opportunities for increasing your equity. By this I take it you mean something like this: Suppose on a particular turn, Play A has higher equity than Play B. Then of the 1296 possibilities next roll, take the percentage which cause an increase in equity (as measured just before the roll and just after the roll). The claim is that this percentage will typically be higher for Play A than for Play B.

Is that what you were saying? It means that higher-equity plays lead to flatter distributions. That's what I took you to be saying, and I don't see any reason why that should be true.

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