Post #120: Well, it depends then on what you mean by "better of the two players." If you mean, one player tends to be good at scoring points against the other, then sure, but it seems strange to call that the "overall better player among the group of Player X and Player Y." As if to say, if Gelfand beat Anand last year he would have proven he is a better player than Anand.
In the same vein as fabelhaft's post #112, in Norway chess Wang Hao beat Magnus Carlsen and I believe Vishy Anand. Yet Hammer beat Wang Hao, and lost to Carlsen and Vishy. So you're saying between Hammer and Wang Hao, Hammer is better, even though Wang Hao is better than Carlsen and Vishy (he beat them), and Hammer is worse than Carlsen and Vishy (he lost to them)? Hammer is better than a player (Wang Hao) who is better than two people Hammer is worse than?
However, you do make a good point about how rating differences can partly be caused by a player going to more tournaments than another. Still, do we really have any idea what variables cause, say Vassily's performance? Maybe it's because he plays in too many tournaments, maybe for some other reason, but this is all a lot of speculation, don't you think? And to be fair, couldn't you argue the same for a world championship -- if one player goes to too many tournaments, it would affect his performance in the WCC as well, right? There is no system, including ratings, that are perfect, but in general the way ratings work make a ton of sense.
oh god im so jealous. A million i would want to have now as well that would be the pinnacle of happiness..
I'm sure many members of Chess.com are rich enough to donate you a million. (Of Vietnamese Dongs)