Author: Dann Corbit
Date: 14:41:27 05/15/01
Go up one level in this thread
On May 15, 2001 at 11:13:41, Graham Laight wrote:
[snip]
>Out of interest, if one only played 2800 opponents, and always won, what would
>one's rating be?
The same as one who played 500 ELO players and always won. It would gradually
rise towards infinity. You'de get a sharper curve with the 2800 opponents, but
if you never lose or draw and always win you have infinite ELO.
Look at this equation:
double win_expectancy(double rating_difference)
{
return 1.0 / (pow(10.0, (rating_difference / 400.0)) + 1.);
}
Q: For what value of rating_difference does this function return 1?
A: Negative and large.
However, since the precision of the calculations is fairly limited, it might
tend to _actually_ level off around (average_pool_rating + 2600) since that will
give something very close to 1 in the difference calculation for double
precision calculation. If the calculations are performed at arbitrary
precision, the values will continue to rise.
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