This algorithm is to be used for players with who have not had either all wins or all losses in every previous rated game.
Define the ``Standard winning expectancy,'' , between
a player rated and his/her -th opponent rated to be
The value of , which used to take on the values 32, 24 or 16,
depending only on a player's pre-event rating,
is now defined as
Value of | |||
Full-K | Half-K | ||
6 | 4 | 80 | 50 |
6 | 6 | 66.67 | 44.44 |
6 | 10 | 50 | 36.36 |
20 | 4 | 33.33 | 18.18 |
20 | 6 | 30.77 | 17.39 |
20 | 10 | 26.67 | 16 |
50 | 4 | 14.81 | 7.69 |
50 | 6 | 14.29 | 7.54 |
50 | 10 | 13.33 | 7.27 |
If , or if the player competes against any opponent more
than twice,
the ``standard'' rating formula
that results in
is given by
If both and the player competes against no player
more than twice, then the ``standard'' rating formula
that results in
is given by
The resulting value of is the rating produced by the ``standard'' rating algorithm.