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Undefined equities

Posted By: Timothy Chow
Date: Saturday, 24 October 2026, at 3:51 a.m.

In Response To: Undefined equities (MK)

I'm of course aware of the earlier r.g.b. discussions, having participated in them. The new article contains insights not contained in those previous discussions.

I should stress that the Theorem in the new article does not in any way depend on trusting anything any backgammon bot says; it is a mathematically rigorous result. However, the Theorem itself does not prove that there are positions with undefined equity. What it does prove is that if equities do always exist, then at least some of the XG rollouts that I reported in the article are off by a lot.

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