Across the top of the main BOUNCED center, just under the news listing, you will see a table with your player's stats. These statistics (with the exception of commitment) are only updated after "for stats" games are completed. Commitment points are updated for every game played.
From left to right they are:
All players begin with a ranking of 100. At the conclusion of a game, the "game's worth" is computed. For each power, its ability score is computed. The ability score of a power is the sum of the rankings of the players who played that power prorated by the number of phases they played the power multiplied by 1/(8*sqrt(#p-1)) where #p is the number of powers in the variant played. The following table shows the values of 1/(8*sqrt(#p-1)) for common values of #p.
The "game's worth" is the sum of every power's ability score. Each power's ability score is subtracted from the ranking of the player who started as that power. The game's worth is divided equally among the winners and added to their rankings. Again, if, for a given winner, that power was played by more than one player, the points are divided up prorated by the number of phases each player played that power.
Here are a few examples:
Seven players sign up for a game and all play until the end. Their rankings just prior to the conclusion of the game are:
If player C gains a solo victory (as you might expect from the rankings), just after the conclusion, the rankings would be:
If, instead of the above, player B started the game and then dropped after 10 phases and player B' (ranked 120) picked up the power and continued for the remaining 20 phases, then the game would be worth 5.10+(4.59*10+6.12*20)/30+7.14+4.59+3.57+5.10+5.61 = 5.10+5.61+7.14+4.59+3.57+5.10+5.61 = 36.74 (rounding causes this sum to look inexact). All 5.61 points would be subtracted from player B (none from B'). So, if player C again won,
A few remarks on this system: Given two players, A and B, the ratio of A's ranking to the sum of A's and B's rankings is the likelihood that A will beat B (or rather, if enough games are played, we would expect this to work out this way). If you win solo, your ranking will go up. It is possible to decrease your score if you abandon your power but it wins solo. Furthermore, if you are ranked highly enough compared to other players and you win, but in a draw with too many players, your ranking can fall. Note that in a few cases if you abandon, you could have your score become negative by this method, but that is rare and it is reset to 0 in that case. Your score cannot decrease if you fill in as a replacement player. However, boosting your ranking artificially by this method is very slow (people don't abandon good positions!).