[Grandpa Kim]

How about this

Rs = standard rating change
Rm = modified rating change for multiplayer
n = number of players

Rm=Rs(1.5 root [n-1]/[n-1])

For three players

1.59/2 or .794 of a one on one game

For 10 players

4.33/9 or .481

For 20 players

7.12/19 or .375

Just to simplify things I will consider that a victory over a single player will give a victor a 16 point jump in the Ratings.

In a three player game the victor would currently get 32 points. With this system he gets 25.

In a ten player, instead of 144, he gets 69.

In a twenty player instead of 304, he gets 114.

I could live with this. I tried it using square root but the final numbers were just too low for my taste.

I don't know if anyone likes this or if Slynky is willing to use it, but it seems like a good compromise to me. Is a hundred point loss to the first man out in a twenty player game too much? I think it's okay. What does everyone else say?

Edit: Note this works for one on one games too since any root of 1 is 1. I don't know how your calculating program is set up but you could possibly just insert this into the formula.

[ March 17, 2004, 04:13: Message edited by: Grandpa Kim ]