Ghost, I didn't have time to respond fully, but one of the main points of this thread was to question your basic assumption, that every game should be zero sum. I'm suggesting that the rating sum is not required to be similar to energy, where it is neither created nor destroyed. In fact, I'm suggesting GR be created by means of destroying it! (OOoooohh)
So, as an example, let's say there are only three outcomes on this site with the following result:
1. WTA solo = 100% GR of everyone in the game.
2. WTA draw = 100% - (5% x number of players in draw) GR of everyone in the game.
3. PPSC game = 75% GR distributed how it's distributed now.
So, with a WTA solo, GR gets awarded as it does now. With a WTA three-way draw, three players evenly split 85% of the total GR in the game, while 15% of the total GR in the game gets destroyed. With a PPSC game, regardless of if there's a solo or draw, the GR is distributed as it is now, but only 75% of the total GR gets distributed and 25% gets destroyed. The specific numbers I'm using are arbitrary and would need to be fine tuned (see below), but by destroying GR in WTA draws and all PPSC games, then a WTA solo would be more highly rewarded than it is now. Yes, I understand that three three-way draws will not increase a person's GR by as much as a single solo, but this concept I'm presenting can be fine tuned a bit to increase the weight given to a WTA solo.
So, why destroy GR? Well, it seems to me that, just like with points, GR is inflating over time. I quickly looked back at GR from June 2008, June 2009 and June 2010 and compared the GR of the #10, #100 and #500 rated players to see how their GR compared:
June 2008 June 2009 June 2010
10th - 306 10th - 378 10th - 414
100th - 144 100th - 200 100th - 294
500th - 94 500th - 115 500th - 134
It looks to me like there is indeed GR inflation. I'd think you math/computer guys could figure out a way to assign values to my concept above that will result in GRs that have little to no inflation over time, even if just by a little trial and error.
Ughh, long day, I'm tired, will comment on other people's comments more tomorrow. Thanks for all the feedback so far, I think it's an interesting discussion.