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Subject: Re: rating questions that may be interesting to investigate

Author: José de Jesús García Ruvalcaba

Date: 04:09:11 03/04/02

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On March 03, 2002 at 06:03:47, Uri Blass wrote:

>suppose you have the following 1000 programs:
>
>program A0:play random moves with probability of 100%
>program A1:does a search of 3 plies to choose the move in 0.1% of the cases
>and plays a random move in the rest of the cases
>
>program A2:does a search of 3 plies to choose the move in 0.2% of the cases
>and plays a random move in the rest of the cases
>
>...
>
>
>program A999 does a search of 3 plies to choose the move in 99.9% of the cases
>and plays a random move in the rest of the cases.
>
>programA1000 does a 3 ply search in every move.
>
>Questions:
>1)suppose you play 1000 matches of 1000 games between programs
>Ai and Ai+1(i=0...999) and suppose the rating of A0 is 0.
>
>suppose that you caluclate for every i rating based on the performance
>
>What is going to be the expected rating of program A1000?
>
>2)Suppose you play 1000 games between program Ai and Ai+2(i=0,2,4...998)
>and suppose the rating of program A0 is 0
>
>What is going to be the expected rating of program A1000 based on similiar
>calculations?
>In which case the expected that the rating is going to be higher?
>
>Uri

You can easily make this experiment with your own engine. The programming part
sounds quite trivial, but it would take quite long to run on a computer.
I expect A1000 to get a higher rating in question 2)
José.



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