Many computer games have different levels. Here is a description about levels on wikipedia, but I will explain more precisely what I mean below.
The idea is this: to optimize the experience with a game played online between two or more people, we need to try our best to make sure that people with comparable experiences/skills play the game together. To achieve this, one very simple way is to set different "levels" of the game, and move one to a higher level if he or she wins a lot at a lower level. Another way of achieving this is to use a virtual system of "money", as an indicator of players' strength and experience. In any event, we will end up with a distribution of players on different levels or with different "wealth".
Are there any theory which discusses such distributions, and the implications on whether this is good/bad for player experiences?
Also, what are some existing example of this type of statistical data? EDIT: This is not asking for data sets. This is just asking for a place where this theory can be useful.
It would help a lot if anyone could give a reference. This is of course not limited to computer games, but any other similar games.