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Subject: Re: TABLE: State-space and game-tree complexity of various games

Author: Jay Scott

Date: 14:11:49 01/03/03

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On January 02, 2003 at 06:03:58, Edward Seid wrote:

>10.  Go-Moku (15x15)    10^105            10^70

Go-moku is a good example that shows how a big state space and big tree-size do
not necessarily imply that the game is difficult to solve. The game was solved
long ago as a win for the first player, and extra rules have been added to try
to keep the game interesting. It is also a win for the first player on an
infinite board, which has an infinitely large state space.... If the state space
or tree-size is small, the game can be solved by exhaustive search. But if they
are both big, the game may still be solved by a cleverer search, or by a
mathematical proof such as a symmetry argument.

People who think that the large state-space of go shows that it is a difficult
and interesting game have come to the right conclusion for the wrong reason.

   Jay



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