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Subject: Re: Chess Solved More Simply

Author: Robert Hyatt

Date: 06:45:24 05/15/01

Go up one level in this thread


On May 15, 2001 at 06:03:11, Graham Laight wrote:

>I still say it's quicker and easier to draw a graph of strength of players
>plotted against proportion of draws.
>
>Since I don't have a copy of chessbase, the graph below is based on guesswork
>rather than actual study - but here's a quick example of what it would probably
>look like:
>
>Percentage Of Draws
>
>
>100 |                                             *
>    |                                        *
>    |                                    *
>    |                                 *
>    |                              *
>75  |                           *
>    |                        *
>    |                     *
>    |                  *
>    |               *
>50  |            *
>    |          *
>    |        *
>    |      *
>    |    *
>25  |  *
>    |*
>    |
>    |
>    |
>0   |
>    ------------------------------------------------------
>    1000       1500       2000     2500     3000      3500
>
>                        Elo Rating
>
>
>If this were accurate, the maximum possible Elo rating would be 3500, because
>above this level, almost all games would end in draws.
>
>From this, one can calculate when computers will be able to play at the maximum
>level. If normal (ie not Deeper Blue!) computers advance at about 100 Elo every
>5 years, and they are currently at 2600, then they need another 900 Elo to play
>perfect chess - which they will be doing in 45 years.
>
>And what ply depth will be needed to achieve this?  If they advance 1 ply every
>3 years, then they will advance 15 ply in 45 years.
>
>So - in conclusion - to solve chess (or at least to play "perfect" chess),
>computers need to search 15 ply deeper than they do now (and probably increase
>their knowledge at the same rate as they're currently doing).
>



I don't like that definition of "perfect".  Just because they are nearly
unbeatable, they won't be playing "perfect" at all...  You won't play
perfect until you can prove a move from the starting position is a forced
win, or else prove that all are forced draws.




>Again - all the figures in the previous 3 paragraphs are my guesses rather than
>rigorous studies. Anybody who knows the numbers more accurately is welcome to
>correct the figures.
>
>-g
>



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