Stables

[Opid]

My first reaction(and the first responses in this thread) was that one would simply need to check the strength of the elite to detemine whether or not stables was more beneficial than tg's.
This reasoning would lead us to assume that gnomes would be the optimal race to run stables.

I'll try to apply my formula to a gnome province close to oop.

Population
400 acres * (25*1.15) = 11500

Let's assume a draft of 65%
11500*0.65= 7475

Then say 42% of them are assigned to offensive roles.
7475*0.42= 3140

3140*5= 15,700 = raw offense


T= 400
S= 20
K= 0.0
L= 20/400 = 0.05
P= 1.0

y= 1.5 * 0.05 (1- (2 * 0.0 + 0.05)) = 0.0713
m= 1.09 * 1.076 (1.5 * 0.0 (1-0.0) + 1) = 1.1728
x= 15,700 * 1.1728 = 18,413



18,413 * 0.0713 = 1313
60 * 1.0 * 20 * 1.1728 = 1407


Stables are more effecient in this example, but only by a very close margin.
Any pop sci, raised draft or higher percentage of military units focused on offensive roles is going to push this back in favor of tg's.
..even for gnomes.

[Arare Litus]

T= total amount of acres
S= amount of acres to build
K= Percent of tg's built previously
L= S/T = percent of acres to build
P= 1.25 for artisan, 1.0 for all other

y= ( L * (1- (2 * K + L) * 1.5 ) = ME gained from L tg's

You might have to explain the formula again, I think I'm misinterpreting some parts. I.e. if I read you right, y being the total ME you'd gain from L TGs, the formula is already given as L * (1 - L ) * 1.5, remember?

Alternatively, if you meant y to be the +OME% you'd gain from the next % of TGs, that might be different...

So putting it through it's paces...
Assume we're at 25% TGs and we want to calculate the effect of 26% TGs
0.25 * 0.75 * 1.5 = 28.125%
0.26 * 0.74 * 1.5 = 28.86%
Net effect = +0.735%

Using your formula...
0.26 * ( 1 - ( 2 * 0.25 + 0.26) * 1.5) = +9.36%

[Opid]

Hmm.. yeah... maybe I should try to clean that up a bit.
It even got me confused.


Let us first start with:
( L * (1- (2 * K + L) * 1.5 )
And instead turn that into
1.5 * L (1- (2 * K + L))
(..so it actually makes some sense :P)


Secondly:
L does not equal the final % of tg's, but rather the amount of % you intend to build.
In your example that would mean L=0.01 since you intend to go from 25% to 26% and want to know the effect off the next 1% of tg's.

So instead of:
0.26 * ( 1 - ( 2 * 0.25 + 0.26) * 1.5)

It should read:
1.5 * 0.01 ( 1 - ( 2 * 0.25 + 0.01) )

Which actually equals: 0.00735 = 0.735%


[note] I've now corrected the previous posts accordingly [note]

[Arare Litus]

Tired of counting, I fired up UA and plugged in the numbers.

10k ogre leets, generals, wages, 1k acres

17.7% TGs = 114329
18.7% TGs = 115224
19.7% TGs = 116091
20.7% TGs = 116929

16.7% TGs + 600 horses (1%) = 114256
17.7% TGs + 600 horses (1%) = 115186
18.7% TGs + 600 horses (1%) = 116088
19.7% TGs + 600 horses (1%) = 116961

Differences?
TG > Horsies
TG > Horsies
TG > Horsies
Horsies > TGs

Looks like UA validates your claims, Ethan. Let me look back over the previous math and see what went wrong...

25% land devoted to offense
20% TG, 5% Stables = 120708
18.7% TG, 6.3% Stables = 120668

Could've been some slight calibration needed.. How about:
19.7% TG, 5.3% Stables = 120705
20.7% TG, 4.3% Stables = 120700
21.7% TG, 3.3% Stables = 120654

Brain hurts. I think it's very close to correct though. Just a bit off somewhere.

[didy]

Opid, I gave you exact the formula you wanted, if you dont understand it, just ask..