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Subject: Re: Rating

Author: Robert Hyatt

Date: 07:44:00 01/19/06

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On January 19, 2006 at 08:11:54, M Hurd wrote:

>If you play an engine match of 1000 games against 1 engine and play another
>match of 1 game each against 1000 engines, would you get the same rating ?
>
>Is it more important to play as many different engines as possible or just
>number of games played.
>
>Presumably there will be an optimum number for games and number of engines
>played.
>
>Regards
>
>Mike

Not necessarily.

The Elo system is designed to scale your rating, with respect to the rating of
the opponents you play, such that your rating will provide a statistically
accurate estimate of your expected result when playing any of those opponents.
But ratings are all relative, not absolute.  If My rating is 200 points higher
than yours, that means I ought to win about 3 of every 4 games we play.  Whether
I am a patzer or grandmaster is irrelevant, it just means that I should beat you
3 of every 4 games, every time we play.

When you change the "player pool" then you change everything.  Because
everyone's rating is supposed to predict their performance against everybody
else, yet that is patently impossible when you have the case that A beats B, B
beats C and C beats A, which is not that uncommon.  So the group of players will
definitely cause rating fluctuation inside the group, depending on the players
in the group.



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