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I have an idea about how to rate players during a RR tournament., and a general extension in mind.
I believe a measure of the player strength relative to a certain game is given by the speed of the material gain. At the begining the material is even, and at the end there are two posibilities:
1. The game is a draw(any chess rule leading to a draw) .
No one loses both sides keeps its armies for a feature battle. In this case the game score is given by
(material1 - material2)/(number_of_game_moves). One of the sides will have a positive score , while the other will have the same absolute score but with the sign changed.
2. The game ends in mate. The side which loses the game is considered to lose all the material in the end, as the soldiers cannot fight without their king.
The score will be for the winner:
And for the loser will be
At a RR tournament is sufficient to add the score for every game for every player just like that.
If a player competes in different tournaments we must take into account the adversary strength, and the player ranking is computed different.
The player strength is the average of the cumulated game scores.
Suppose the players strengths are s1 and s2,number of games played so far are n1 and n2, and player 1 has a positive game result: r( a draw does not need to be a zero result).
s1 = (s1*n1+(s2/(s1+s2))*r)/(n1+1);
A simple numerical example s1=0.5 s2=0.26 n1=10 ; n2=25; r=1.25
s1= (0.5*10 + (0.26/0.76)*1.25)/11 = 0.49
s2= (0.26*25 - (0.26/0.76)*1.25)/26 =0.23
Also the probability the player 1 wins the player 2 is computed like (s1/s1+s2).
Before the game p=65%; after the game p=68%.
The interpretation of score 1.25:
If the number of moves in current game was 30 , it means the winner had 30*1.25 in material at the last move.
I will apreciate some feedback and how can we test this.
Andrei from Romania
Andrei, what if you sacrificed material before mate? Your rating gain would not be as great yet a win through material sacrifice could be considered more skillful than a win retaining material.
There is a compensation for that. If the sacrifice is not seen by the opponent the game ends quickly and the ratio material/number_of_moves is still high.
Also keep in mind that in this situation the material of the winner will be a big number because the opponent material does not count after mate(it is considered captured by the mate move):
Suppose after a few moves one sacrifices it's queen and then mate. His material
is a bigger number compared to the situation when no sacrifice is done and the game lasts for 40 moves.
Its somr thing !! let me take little respite. then resume.
To follow the basic idea of my system a positive score of 1.25 means the winner, takes 1.25 points per move on average from opponent.Remember that the mate
move "captures" all opponent pieces.
Don`t try to" reinvent the Wheel"; stay with either the Elo (for simplicity) or the Glickman modified Elo system used by the USCF.
more bending will spoil the tube.so appriciate ur understanding!
Merry Christmas everyone!
thanks, same to you and everyone
Thnx ! same to everybody.
anyone else get a little turned on by the bishop?
appriciate ur Romanian formulae!! Wish u good luck % Happy New Year!
Thanks. A good year for every one.
wish the same to u & all in Chess.com !!
"points" is an artificial concept - why not just throw in the towel and
have Houdini assign the ratings or play both sides for that matter?
that could be an wonderful innovation to ur artificial concept!! of points.happy new year beardogjones.
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