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XG and the Kauder paradox --- surprise!

Posted By: Timothy Chow
Date: Friday, 16 January 2015, at 12:24 a.m.

In Response To: XG and the Kauder paradox --- surprise! (ah_clem)

ah_clem wrote:

As I understand the Kauder paradox, it's a position where double/beaver is the correct cube action. So, in the rollout XG wouldn't fail to double, it would only fail to beaver.

It would certainly fail to beaver. It might also fail to double, but if it's playing well then it should double. Whether you think your opponent will beaver or not, you will want to double.

If you start with a Kauder paradox (KP) position, will XG fail to beaver in the rollouts? Seems like it wouldn't, so a KP position won't satisfy your quest.

Did you miscount the number of negatives? It sounds like you're saying that XG wouldn't fail to beaver, i.e., it would beaver. In fact, XG would not beaver; equivalently, it would fail to beaver. What it does is to roll out ND and D/T, and then when it notices that the equity of D/T is negative, it beavers after the fact when reporting the result. So your final remark, that a KP position won't satisfy my quest, is correct.

Seems to me that the way to construct it would be to start with a KP and rewind one roll. Starting with the KP with the largest beaver margin would probably give you the biggest rollout error.

Yes, this is a promising tactic. I would ideally like the ranking of the two top checker plays to be reversed, which requires extra work.

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