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Wisecarver Paradox

Posted By: Tom Keith
Date: Wednesday, 6 August 2014, at 8:09 p.m.

In Response To: Wisecarver Paradox: Middlegame position (Dmitriy Obukhov)

I think Kleinman was thinking of bearoff positions. The idea is similar to the Jacoby paradox. It seems like a paradox because we are used to thinking that cube play is only influenced by how strong our position is relative to our opponent. But occasionally other factors that come into play, such as volatility.

I once wrote a program to look for Wisecarver positions. Jeroen Sikkema was nice enough to run it on his computer because I didn't have enough ram. It looked at positions where both sides had all their checkers home: 54263 * 54263 checker positions * 21 rolls * 2 cube positions = 123,667,873,098 positions were tested. 1,300,469 of them were Wisecarvers, or about 1 in 95,095.

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