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Re: [risk] "Skewed" combat?
On Thu, 30 Mar 2000, Dan Knapp wrote:
> > or more accurately: W' = W - ( max(L) - min(0, (W-sum(L))/2 )
> >
> > The >2 player case is identical to the 2-player case except that the
> > "largest army" advantage is lessened. It is also never worse for the
> > largest army than the current system.
>
> I like it. Do you mean "if W-sum(L) < 0 then 0 otherwise that" rather
> than "min(0, (W-sum(L))"?
Oops. yes, that should be MAX(0,W-sum(L)).
Actually the /2 is my addition to the simu-risk rules too.
Here are the tables (negative numbers indicate surviving defenders):
Simultaneous risk: W' = W - (L - (W-L))
(I don't like the N vs N+1 case, nor the lack of odd numbers)
A\D | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
----+------------------------------------------------------------
1 | 0 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15
2 | 2 0 -2 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15
3 | 3 2 0 -2 -4 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15
4 | 4 4 2 0 -2 -4 -6 -8 -9 -10 -11 -12 -13 -14 -15
5 | 5 5 4 2 0 -2 -4 -6 -8 -10 -11 -12 -13 -14 -15
6 | 6 6 6 4 2 0 -2 -4 -6 -8 -10 -12 -13 -14 -15
7 | 7 7 7 6 4 2 0 -2 -4 -6 -8 -10 -12 -14 -15
8 | 8 8 8 8 6 4 2 0 -2 -4 -6 -8 -10 -12 -14
9 | 9 9 9 9 8 6 4 2 0 -2 -4 -6 -8 -10 -12
10 | 10 10 10 10 10 8 6 4 2 0 -2 -4 -6 -8 -10
11 | 11 11 11 11 11 10 8 6 4 2 0 -2 -4 -6 -8
12 | 12 12 12 12 12 12 10 8 6 4 2 0 -2 -4 -6
13 | 13 13 13 13 13 13 12 10 8 6 4 2 0 -2 -4
14 | 14 14 14 14 14 14 14 12 10 8 6 4 2 0 -2
15 | 15 15 15 15 15 15 15 14 12 10 8 6 4 2 0
W' = W - ( L - (W-L)/2 )
A\D | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
----+------------------------------------------------------------
1 | 0 -1 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15
2 | 1 0 -1 -3 -4 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15
3 | 3 1 0 -1 -3 -4 -6 -7 -9 -10 -11 -12 -13 -14 -15
4 | 4 3 1 0 -1 -3 -4 -6 -7 -9 -10 -12 -13 -14 -15
5 | 5 4 3 1 0 -1 -3 -4 -6 -7 -9 -10 -12 -13 -15
6 | 6 6 4 3 1 0 -1 -3 -4 -6 -7 -9 -10 -12 -13
7 | 7 7 6 4 3 1 0 -1 -3 -4 -6 -7 -9 -10 -12
8 | 8 8 7 6 4 3 1 0 -1 -3 -4 -6 -7 -9 -10
9 | 9 9 9 7 6 4 3 1 0 -1 -3 -4 -6 -7 -9
10 | 10 10 10 9 7 6 4 3 1 0 -1 -3 -4 -6 -7
11 | 11 11 11 10 9 7 6 4 3 1 0 -1 -3 -4 -6
12 | 12 12 12 12 10 9 7 6 4 3 1 0 -1 -3 -4
13 | 13 13 13 13 12 10 9 7 6 4 3 1 0 -1 -3
14 | 14 14 14 14 13 12 10 9 7 6 4 3 1 0 -1
15 | 15 15 15 15 15 13 12 10 9 7 6 4 3 1 0
(Defender rule may apply where there are zeros)
~ John Williams