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Undefined equities

Posted By: Timothy Chow
Date: Saturday, 24 October 2026, at 3:45 a.m.

In Response To: Undefined equities (Bob Koca)

Bob Koca asked:

If that position does indeed have undefined equity, does that imply that an opening 31 also does?

It doesn't follow immediately. Conceivably, a large subset of positions could have well-defined equities, with perfect play being well defined for all positions in this subset, and the standard initial position could be part of this large subset. Another way to put it is that I don't know how to rule out the possibility that the equity after 31 is well-defined and there is no perfect-play sequence leading from it to the Paradox Position.

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