I don't understand your question.   I don't claim non-determinism
helps with alpha beta and I'm not recommending a fuzzy evaluation
function, I'm just saying it still works.  A deeper search will
produce better moves in general.

One has the randomness anyway. A heuristic evalution can be considered as the sum of a systematic term which is an estimator of the "true" evaluation and an error term (and a bias). One consequence of this model is, that the shape of the search tree has a significant influence on the evaluation. The programm will favour variations where it has a lot of good moves and the opponent has only a few. Because the more (good) moves the program has, the higher is the expected value of the error terms. The programm has more tickets in the error-term lottery.

I have noticed this effect constantly. E.g. if one extends captures, the programm tends to favour lines with captures, if one extends checks stronger, the program likes to check...

Chrilly

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