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MuwuM's Concept of ELO ranking in MG Edit

Every (human) player starts with an ELO ranking of 1000. Winning will increase and loosing decrease a players ELO. CPU-Players have fixed/static ELO ranking:

CPU (Easy) 400
CPU 600
CPU (Ultra) 800
CPU (Mega) 1000

On each match a ranking for each team is calculated:

R_{team} = Round(\sqrt{\frac{\sum_{i=1}^{n} R_i^2}{n^2}}*2)

Where R_{team} is the ranking of the team, n is the number of players of the largest team (if one team has 2 players and the other team 3 it is 3), i is the index of the player of the team (1 is the first player of the team) , and R_i is the ranking of the player i, if no player is found at the team with the position i use R_i = 0.

Afterwards a k-factor for the team is calculated.

R_{team} \le 2100 k_{team} = 32*n
R_{team} \le 2400 k_{team} = 24*n
R_{team} > 2400 k_{team} = 16*n

based on the k-factor for the team the k-factor of each player is calculated:

k_{player} = Round(\frac{k_{team}*R_{player}}{\sum_{i=1}^{n} R_i})

Now the ELO-difference between the teams is calculated:

Diff_{team} = max( min( R_{enemy team} - R_{team}; 400);-400)

Now the expected score is calculated:

E_{team} = \frac{1}{1 + 10^{Diff_{team}/400}}

Now set S_{team} = 1 for the winning team and S_{team} = 0 for the loosing team

And finally the ranking of each player is changed:

R'_{player} = R_{player} + Round( k_{player} * ( S_{team} - E_{team} ) )

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