VP math curio

[Mr. Dodgy]

I'm usually pretty good with numbers but this has me stumped...anyone care to try help me out?

 

I'm using (slightly modified) Victory Points tables to award 'DodgyPoints' to players in certain of the tourneys I run on BBO.

 

The table for a 24-board tourney is:

 

IMPs VPs

0-3 15-15

4-9 16-14

10-14 17-13

15-19 18-12

20-24 19-11

25-29 20-10

30-34 21-9

35-39 22-8

40-45 23-7

46-51 24-6

52-57 25-5

58-64 26-4

65-71 27-3

72-79 28-2

80-87 29-1

88+ 30-0

 

and the results from one tourney were:

 

Player IMP

A 68

B 62

C 20

D 2

E -32

F -34

G -36

H -50

TOTAL 0

 

Which gives these awards:

 

Player VP

A 27

B 26

C 19

D 15

E 9

F 9

G 8

H 6

TOTAL 119

 

 

It's that last line that I can't understand - it should be 120...shouldn't it?

[jtfanclub]

No. Think of a round robin.

 

Team 1 beats team 2 by 3

Team 1 beats team 3 by 3

Teams 2 and 3 tie.

 

Team 1 is +6=16 points

Team 2 is -3= 15 points

Team 3 is -3= 15 points

 

Total is 46, not 45.

 

If it had been 4, it would be 16, 14, and 14.