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Subject: Re: The probability to find better move is simply irrelevant for diminishing

Author: Sune Fischer

Date: 08:37:41 02/09/02

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On February 09, 2002 at 11:14:05, Uri Blass wrote:

>On February 09, 2002 at 07:44:27, Sune Fischer wrote:
>
>>On February 09, 2002 at 07:08:35, Uri Blass wrote:
>>
>>>returns.
>>>
>>>Imagine the following simple game:
>>>Every side need to say in it's turn if it resigns or not resign.
>>>The game is finished only when one side resigns.
>>>
>>>If both sides never resign the game is never finished.
>>>
>>>
>>>Imagine the following 3 programs for that simple game:
>>>
>>>
>>>Program A resigns with probability of 10% in every move
>>>Program B resigns with probability of 1% in every move
>>>Program C never resigns.
>>>
>>>program C finds better move than program B only in 1% of the cases but in games
>>>C always wins against B(B will do a mistake of resigning after enough moves).
>>
>>No, this is where you get it wrong IMO.
>>See C will not _always_ beat B, because the games will end at some point and
>>this will give B a winning probability greater than zero.
>
>Not in the game that I described.
>
>I agree that at some point there is diminshing returns in chess and I believe
>that it happens a lot before chess is solved but the point is that using
>statistics about the probability to change your mind is a wrong way to get a
>conclusion.

Well you mentioned 1%, not me:)
Chess _is_ statistics, the weaker side always has a chance, a 2400 player can
beat a 2700 player once and a while (why else even play the match?).

Maybe I misunderstood your game, in your game it seems B will resign even in a
completely drawn positions such as K-BK because, C will never stop playing the
game so B might resign before the 50 move rule. That is a strange game I think.

-S.



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