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Chess, Cheating, Psychology, Analogy

Posted By: Timothy Chow
Date: Wednesday, 18 June 2014, at 3:48 a.m.

In Response To: Chess, Cheating, Psychology, Analogy (Bob Koca)

I'm not aware of a really good mathematical model of the way human experts and computers actually score chess positions in practice, but as a first crude approximation that can help you see how to break out of the 0/0.5/1 framework, you can score a position according to the expected value of the position, given that the next move is chosen randomly according to some probability distribution. The probability distribution in turn comes from some randomized heuristic for choosing moves.

In less precise but plainer terms, Position A and Position B may both be technically winning, but in Position A, almost any "plausible" move is still technically winning, whereas in Position B, only one very hard-to-find move keeps the win. Then we regard Position A as better than Position B, and if in Position C, move A leads to Position A while move B leads to Position B, then we regard move B as an inaccuracy.

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