# Basics for ranking system

### Last update = EMA General Assembly May 25th, 2017

A major update launched from January 1st, 2018. Detailed information is available here.

### Base rank

A player's ranking is always between 0 and 1000. In each MERS tournament he can obtain a base rank between 0 and 1000. The player's total ranking is a weighted average of his obtained base ranks from the tournaments he has participated in.

A player who wins all his tournaments, will have a total ranking of 1000.

A player who loses all this tournaments, will have a total ranking of 0.

### Weight

#### General

The weights of MERS tournaments are calculated by taking into account the characteristics of the events, including:

- The number of rounds played
- The number of participating players
- The number of participating countries
- The need to qualify

#### Weight calculation

The weight of the tournament corresponds to TOTAL_MERS = Weight_duration + Weight_players + Weight_countries + Weight_qualif.

Duration

(1)

Weight_duration

(1)

Players

(2)

Weight_players

(2)

Countries

(3)

Weight_countries

(3)

Qualification

(4)

Weight_qualif

(4)

1 Day

+1

X <= 40

+0

X <= 5

+0

NO

+0

2 Days

+2

41 <= X <= 80

+0.5

6 <= X <= 10

+0.5

YES

+1

3 Days

+3

X > 80

+1

X > 10

+1

#### (1) Number of rounds (Weight_duration)

One day tournament accounts for MERS-1.

Two days tournament accounts for MERS-2.

Three days tournament accounts for MERS-3.

#### (2) Number of participating players (Weight_players)

If the number of player is greater than 40, the weight of tournament gets an extra MERS-0,5 point.

If the number of player is greater than 80, the weight of tournament gets an extra MERS-1 point.

Substitute players (maximum 3) are accounted in the calculation of participating players.

#### (3) Number of participating countries (Weight_countries)

If the number of participating countries is greater than 5, the weight of tournament gets an extra MERS-0,5 point.

If the number of player is equal or greater than 10, the weight of tournament gets an extra MERS-1 point.

Substitute players are not accounted in the calculation of participating countries.

#### (4) Tournaments with qualification (Weight_qualif)

If the participation is subject to qualification that is supervised by EMA (such as OEMC and ERMC tournaments), the weight of the tournament gets an extra MERS-1 point.

#### Examples

Duration

Countries

Players

Weight_duration

Weight_countries

Weight_players

Weight_qualif

Total weight

1 Day

3

40

+1

+0

+0

+0

1

2 Days

4

44

+2

+0

+0

+0

2

2 Days

7

92

+2

+0.5

+1

+0

3.5

5 Days OEMC

20

220

+3

+1

+1

+1

6

#### Contribute to the MERS

Also, player's older results count less towards his ranking, than his more recent results do.

- Tournaments that occurred within one year count for 100%
- Tournaments older than one year count for 50%
- Tournaments older than two years no longer contribute to the MERS.

### Minimum requirement

To establish a representative ranking five results are needed. A player is required to have participated in at least two tournaments to appear on the ranking and a player with less than five tournaments is given a result of 0 (weight 1) for each missing tournament.

### Calculation

A player's base rank in a tournament is based on his place in the tournament compared to the other participants:

- If you win you get a base rank of 1000.
- If you are in the middle of the field you get a base rank close to 500.
- If you are number 75 out of 100 you get a base rank of 252.
- If you are last of 100 players, you get a base rank of 0.

The base rank is calculated as follows:

- Find the number of player's you have beaten by taking the number of players and subtract your position.
- Divide by (number of players minus 1).
- Then multiply by 1000 to avoid small numbers.

Example: there are 100 players. Consider the player who got the 25th place. Base rank: (100-25) / (100-1) * 1000 = 757.

### Averaging

From January 1st 2018, rules change : It's composed by 2 parts.

First part is made with average of 5 during last two years and 80% of the remaining tournaments (rounded up). Note that all tournaments are rated differently (with weight) and count less in the time. A player with less than required tournaments is given a result of 0 (weight 1) for each missing tournament.

For example:

Second part is made with average of 4 best results (base rank) during last two years. Note that all tournaments are rated differently (with weight) and count less in the time. A player with less than required tournaments is given a result of 0 (weight 1) for each missing tournament.