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¿Como es calculada la ladder?

The Elo points
The valuation system developed by professor Arpad Elo around 1960 has been divised according to scientific methods and the statistics and the probability theory. Within the ESL, points are meausred by this "Elo point" theory and this allows players of different strengths to gain different amounts of points against differently skilled opposisition. Therefore, they are adapted for each match, and player's points will be adapted according to their league standings and ratings. Basisally, the point scheme is an expectation of profit. If two teams of equal points play, then there will be a very small points difference. However, if a higher ranked team plays a lower ranked team, the higher ranked team will be expected to win and will therefore get less points by doing so. This case is reversed if the lower ranked clan defeats the higher clan; then the lower team will gain a lot of points and the higher team will lose alot of points. Also, the match score is taken into consideration and a team who wins by a large margin will get more points than a team who win by only a small margin (taking that both teams have an equal amount of points.) This way, if a high ranked team does not meet the expectation of the Elo scheme and only wins by a small margin over a team who is ranked much lower, the high ranked team may even lose points! The longer the ladder runs, the more precisely the evaluation of a team is. From only five matches the "Elo" system can predict logical values, and a probable outcome, for a match. Elo Ladders are rarely reset, therefore the system keeps a record of all your matches to improve its prediction. This system allows a team to enter the league at any time and to find their correct rank very quickly. Before a match comes to the Elo calculation, it is prepared by a league-specific calculation module, in order to break down.



The "Elo formula" Generally:

Rnew = Result old + C1 * (W - E)

W = The percentage points of the result of the match (e.g.: 100% = won, 50% = undecided, 0% = lost)
Rold = Old Ranking (Elo points)
Rnew = New Ranking
E = Expected percentage points (calculated beforehand)
C1 = Constant one (at present: 50)

The prediction of percentage points are calculated as shown below:

E = 1 / (1+10^ (-(R-Rother)/C2))

R = Ranking of the own team
Rother = Ranking of the opponent
C2 = Constant one (at present: 400)

The same calculation is then accomplished once more from the view of the other player, in order to compute his/her new score.

Example:
Match result: 3:6
Persentages: 33%:66%
old Elo points: 1000:1000
new Elo points: 992 (-8) : 1008 (+8)

Expectation of profit:
E = 1/(1+10^(-(1000-1000)/400)) = 0.5
new points for team1: Rnew = 1000 + 50 * (0,33 - 0,5) = 1000 - 8 = 992 (rounded)
new points for team2: Rnew = 1000 + 50 * (0,66 - 0,5) = 1000 + 8 = 1008 (rounded)

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