Windy City Weasels

We will use the Sum of Squares scoring system at the 2012 World Diplomacy Championship. 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 between 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 score is calculated by squaring the number of supply centers each player owns. (For example, 5 centers = 25, 15 centers = 225.)
3. Then the total value of the board is calculated by adding all players’ individual scores on that board.
4. Finally each player is awarded a percentage share of the 100 points equal to his percentage share of the overall board value.

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

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

2.    calculate the board value as the sum of individual scores 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)