![]() ![]() Players may wish to evaluate their skills relative to people they know or relative to potential opponents they have never played, so they can arrange interesting matches. This encourages competition between players, both to “win” individual matches, and to have their overall skill level recognized and acknowledged in a broader community. In the case of matches involving two or more players (“multiplayer matches”), this often includes ways of ranking the skills of match participants. Most games have at their root a metric for judging whether the game’s goals have been met. But how can this be done when every player’s skill is represented by two numbers? The trick is to use the (hypothetical) chance of drawing with someone else: If you are likely to draw with another player then that player is a good match for you! Sounds simple? It is! If you play a ranked game on Xbox Live, the TrueSkill ranking system will compare your individual skill (the numbers μ and σ) with the skills of all the game hosts for that game mode on Xbox Live and automatically match you with players with skill similar to your own. If you want to learn more about how these numbers are calculated and how the TrueSkill ranking system identifies players’ skills, please read the Detailed Description of the TrueSkill™Ranking Algorithm or find out in the Frequently Asked Questions. The actual number of games needed per gamer can be up to three times higher depending on several factors such as the variation of the performance per game, the availability of well-matched opponents, the chance of a draw, etc. ![]() The following table gives an idea of the minimum number of games per gamer that the system needs to identify the skill level: Game Mode As a result, the TrueSkill ranking system can identify the skills of individual gamers from a very small number of games. Maintaining an uncertainty allows the system to make big changes to the skill estimates early on but small changes after a series of consistent games has been played. For example, the green area is the belief of the TrueSkill ranking system that the gamer has a skill between level 15 and 20. On the side, a belief curve of the TrueSkill ranking system is drawn. In contrast, if the uncertainty is small, the ranking system has a strong belief that the skill of the gamer is close to the average skill. If the uncertainty is still high, the ranking system does not yet know exactly the skill of the gamer. The ranking system maintains a belief in every gamer’s skill using these two numbers.
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