Author: Sune Fischer
Date: 07:56:12 02/26/02
Go up one level in this thread
On February 26, 2002 at 09:09:17, Robert Hyatt wrote: >On February 26, 2002 at 06:11:05, Graham Laight wrote: > >>If two players were above ELO level 4000 (approx), they would always draw. >> > >What is this assumption based on? Certainly not scientific research. IE >who has proven that the game is a draw. > >And the question was about _one_ "perfect player". Not two. If there is just >one, his rating will continually rise over time and since he never loses, it >has no real upper bound. It is not enough that he never loses, drawing is also losing points, and so would give him a finite rating. The question is, do you need to play perfect to draw the perfect player? >>This is derived by extrapolating from the following graph, which is drawn by a >>former secretary of the USCF: >> >>http://math.bu.edu/people/mg/ratings/Draws.jpg >> >>-g > >That has nothing to do with "perfect play". It is assuming the game is >drawn, which is not a given. Doesn't matter if it is drawn or a win, the perfect player can only be certain of a win if he has white and the chess is a win for white, or vice versa with black. I suppose we could ask a different question, if chess is a win for white and the perfect player is allowed always to play white, will he still have a finite rating? Probably not...! However, that is not *fair*, he should play both sides, so it is hard to prove he would always score a 100%. What if he playes an almost perfect player, one that only makes a mistake in 1 in a million moves? Clearly that guy will have a finite rating, and he should stand a good chance against the perfect player, probably scoring close to 50% => the perfect player will also get a finite rating. -S.
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