Re: Chess
From: John Bailey (john_bailey_at_rochester.rr.com)
Date: 06/06/04
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Date: Sun, 06 Jun 2004 12:04:56 GMT
On 5 Jun 2004 18:34:33 -0700, chessper5@hotmail.com (chessper5) wrote:
>Considering the same board position 3 times in a game is a draw, how
>many possible chessgames is it possible to have?
>After one move for black and one for white we can have 20*20
>positions, what about n moves?
>I have heard the number of possible games is estimated to 10^120, how
>has this been done, how would you do it?
>What is the maximum number of moves for a game to end?
>
10^120 are the number of games of go.
http://home.earthlink.net/~mrob/pub/math/numbers-10.html#l_p0_115e42
(quoting)
The number of possible chess games is much higher. [It is 10^10^50] An
estimate of the number of possible chess games, given by G. H. Hardy
("Ramanujan: Twelve Lectures on Subjects Suggested by His Life and
Work", 1999). (end quote)
This leads to my fantasy. Suppose that a system has a database
indexed by chess position, each historic (named) player response to
that postion, and previous position from which a historic (named)
player obtained this position in response. Playing consists of
identifying who you want to play against--say Fischer for example and
the database provides a Fischer response to any move you, make. With
slightly higher tech, the system can ignore irrelevant parts of the
board and match responses over a wider range. Using hidden markov
model technology it could extrapolate from its data moves from
positions never before encountered. In effect, clone the chess
personality of the greats. Morphy, Alekhine, Anand, Botvinnik,
Capablanca, Fischer, Karpov, Kasparov, Korchnoi, Lasker, and Tal.
Any takers? Comments on feasibility? Size needed?
John Bailey
http://home.rochester.rr.com/jbxroads/mailto.html
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