Mayo wrote on 08/04/12 at 11:09:06:
For instance, the second paragraph. Player A should not necessarily have a higher rating than player B just because of his lower drawing rate. He could very well maintain his rating by having (roughly) the same number of wins and losses provided his opponents have (roughly) the same rating as he does.
Okay, consider the following situation:
Player A and B are both rated 2000. Then they both play two games each, against opponents also rated 2000. Player A wins one and loses one, player B draws both.
In the traditional rating system, both players stay at 2000. Expected score is 1/2, actual score is 1/2. End of story.
If the rating system is based on 3-1-0, though, player A has done a better result (3 points) than player B (2 points). Therefore, player A would now have a higher rating than player B.
The alternative is, as Keano says, to keep the current rating system. But I still think ratings would be misleading if 3-1-0 becomes the norm. In Biel, Carlsen had the highest rating performance even though he faced the weakest opposition (he didn't have to play against himself!) and didn't win the tournament. And if everyone had the same rating before the tournament, Carlsen would have gained the most rating points even though Wang Hao scored more points.
Maybe the effects would be small enough that we could keep the traditional rating system even if 3-1-0 becomes the norm. Thinking about it, ratings would still measure the expected outcome of a single game. But rating performance would be misleading, I think.