bwinner1 wrote:When you have a system like : if u (x,y) ->(-k1*y,-k2*x) and then with X=(x,y) solve the equation X'=u(X), you can prove that the solution which respect a such equality (with x,y number of each unit and k1, k2 coefficients that represent the number of y(resp x) that x (resp y) kill per second). I won't give more détails, but it's Something like that.
However, overkill is really important in real fight, that's why kaiser sais that you should rather use an algorithms, btw the idea to program it isn't bad, because I think it could be a usefool tool for the eso-assistant
I actually already have an program for this. Basically you make your units fight in "rounds", and at each round you remove the dead units and move to next round, so it takes drop-off into account. And you also split perfectly the hits from your units so that there is no overkill, which ofc never happens in game, but is still the most accurate way to theoretically try how well units perform against each other.
When one side has no units left, you just check how many units are left on the other side, and can easily calculate the % of units left compared to what you initially had.
For example, with this program, you can see that in a theoretical fight of 6 uhlans vs 5 huss (it's kinda fair in term of VS) on the previous EP (180 hp uhlans), all uhlans died and there was 1 full hp huss left. On the current EP, for the same fights, you will have all huss dead and 1 full hp uhlan left. So we can see the performance difference is pretty big here, even though the hp difference is only 5 hp (could actually even be 1 hp, which is approx 0.5% of the total hp of an uhlan, and the result would be the same).
Another example is sepoys vs musks. According to that formula, musks>sepoys. But in fact in a 5 sepoys vs 6 musks fight (exactly the same investment on both sides), 1 sepoy is left with full hp, so sepoys are clearly better.
Said in another way, it shows that the formula in the OP is really not accurate.