finding the "best" player of a game.
I've been looking for a formula to find the "best player" of a certain boardgame. Let me give an example:
Game name: X (3 player game)
player A has won 9 out of 10
player B has won 90 out of 100
player C has won 49 out of 50
player D has won 5 out of 5
You can see that the winning % of A and B is equal both that doesn't mean that they are equally good in the game does it? Since my guess is that if someone wins a game 90 out of 100 he is better then someone that wins 9 out of 10? I think that the number of players also might have an impact, since a 2 player game gives a 50% chance of winning and a 3 player game a 33.3% chance...
Anyway the point is I'm trying to come up with a formula that calculates this and gives me the "best" player, and the worst :)
Is it even possible to calculate this on people with an unequal number of games played? I can imagine I could order the data so I get a number 1 player in each categorie (less then 10 times played, between 10-50, etc.) but I'm not really interested in that, on the other hand, I am too, so a formula of some sort for that would be cool too. But I'm drifting...
A formula for the "best" player in a game, with each player having played a different amount of games.
Many many thanks in advance,
Just thought about this, extra factor: draws (f.e. a player who won 8 out of 10, lost 1 and drawed 1)