There is a well-established scoring system used for chess tournaments, which allocates 1 point for a win, zero for a loss, and ½ point each for a draw.
The problem with this system is that due to chess being a turn-based game, white, who moves first, has a slight advantage, usually pegged at around 52%:48% against black. The current scoring system does not take this advantage into account.
On balance, white should win, and black should lose, so if it ends as a draw, that is a victory of sorts for black.
There was an alternative scoring system that allocated 3 points for a black win, 2 points for a white win, and 1 point each for a draw, but the weighted distribution for those numbers is wrong.
So I propose an alternative system, which is easy to understand and implement, and which accounts for the odds in favour of white.
For a win, white would get 48 points. If black wins, he gets 52 points. In case of a draw, white gets 24 points, and black gets 26 points. Losers get no points.
I am actually pondering a more complex version of this paradigm, but it’s not finalised yet.
So let’s tale a look at some examples, firstly a small tournament I ran on my PC with the Douglas Modern start position. The final results were: