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

Author: José Carlos

Date: 05:42:38 02/09/02

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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.

  I don't understand his point, but in the game he figured he said the game only
finishes when one player resings, so if C never resings, C will never lose. As B
has 1% probability of resigning, it will lose the game after 100 moves or so.

  José C.





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