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using Sum of Squares Scoring

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#Season 13

Our Diplomacy league is the most active in North America. We average more than two league games per month in addition to Tournament play. We score all of our games using the Sum of Squares scoring system, and each player's best three scores count toward the season standings. We are known for our fierce competition, strong traditions, upstanding character and trustworthiness, and the propensity for Turkey to open to Armenia.

 

Monday, 28 October 2013 21:59

WCW Scoring System

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The Windy City Weasels uses the Sum of Squares scoring system for all tournament, premiere and league games. We do not score exhibition games. For league play, each player's best three scores count for the standings.

Sum of Squares is what’s called a divide-and-conquer system, meaning that in order to maximize your score, you have to not only conquer lots of centers, but also divide the rest evenly among the other players. The points are awarded like this:

For games ending in solos, the soloist will score 100 points. All other players will receive 0 points. 

All other games will be scored as follows:

  1. The total of scores from a drawn game is 100 points. Those points will be awarded to the players according to their share of the board value.
  2. To determine each player’s points, first their individual squares are calculated by squaring the number of supply centers they own. (For example, 5 centers = 25, 15 centers = 225.)
  3. Then the total value of the board is calculated by adding all players’ individual squares on that board.
  4. Finally, each player is awarded a percentage share of the 100 points equal to his or her percentage share of the overall board value.

 As a mathematical formula this means, to determine player 1’s points:

1.   Calculate player1’s individual square (P1):
P1 = (Number of supply centers) * (Number of supply centers)

2.   Calculate the board value as the sum of individual squares of all players (S):
S = P1 + P2 + P3 + P4 + P5 + P6 + P7
 

3.   Pro-rate the score, so that the value of the game is 100:
Points for player 1 = 100 * (P1 / S)

Examples

Power

Centers

Squared

Score

a)

 

 

 

Austria

12

144

50.35

England

0

0

0.00

France

3

9

3.15

Germany

6

36

12.59

Italy

9

81

28.32

Russia

0

0

0.00

Turkey

4

16

5.59

Total

34

286

100.00

 

 

 

 

b)

 

 

 

Austria

12

144

63.72

England

4

16

7.08

France

4

16

7.08

Germany

4

16

7.08

Italy

4

16

7.08

Russia

3

9

3.98

Turkey

3

9

3.98

Total

34

226

100.00

 

 

 

 

c)

 

 

 

Austria

18

100

100.00

England

3

0

0.00

France

4

0

0.00

Germany

0

0

0.00

Italy

0

0

0.00

Russia

9

0

0.00

Turkey

0

0

0.00

Total

34

100

100.00

 

Read 5430 times Last modified on Saturday, 26 November 2016 15:06

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