Author: Sune Fischer
Date: 15:39:02 02/27/02
Go up one level in this thread
On February 27, 2002 at 18:06:44, Uri Blass wrote: >>>>If the perfect player doesn't win every game then yes, he has a finite >>>>rating. I agree. The only issue is whether he wins all or not... >>> >>>The perfect player is not going to win every game if he plas enough games. >>> >>>even the strategy to xhoose a random move is going to socre more than 0% against >>>the perfect player. >> >>Do the math. at any point in the game, the "random player" will have about >>40 moves to choose from, and for this case I assume exactly one is "perfect". >>That means he has a probability of .025 of choosing the "perfect" move in a >>random fashion. Compute .025^50 (assuming a game lasts 50 moves for >>simplicity). You get roughly 7 e-81. I don't believe that a real human >>can play enough games to give the "random player" any chance at all for a >>draw, much less playing perfectly enough for a win. The human simply won't >>live long enough to play enough games at one game per day. >> >>The random player has no chance. >> >> >> >> >>> >>>The difference in elo in order to win a match 2*10^1000-1 is certainly finite >>>and I believe that choosing a random move is going to be enough for better score >>>because I believe that it is possible to get at least a draw in less than 500 >>>moves and the probability to be lucky and choose every one of them is more than >>>1/100 in every move because I believe that the number of moves in every ply is >>>going to be less than 100 when the opponent choose the perfect strategy. >> >>See above. If a human could live forever, the random player would eventually >>win a game. But the human doesn't, and the random player has no chance >>whatever to win. > >I agree that there is no practical chance by playing random moves to draw >against the perfect player but if we talk about reality then there is no chance >to get a perfect player. > >If we assume that the perfect player does not live forever then the perfect >player cannot get an infinite rating so the only relevant question is what is >the rating of the perfect player when we assume that she lives forever. > >If she lives forever and plays every day a game against a player with random >stategy then she also cannot get infinite rating. > >Uri Well said Uri :) So we agree, that not even the perfect player can win _every_ game? -S.
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