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Chas

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I was trying to work out my stab costs, couldn't get them to tally with the Economy FAQ or the beta release notes, so I did some research, and decided to post it in FAQ form. I'm not aware that any rigorous faq has been posted before - if I've missed it, sorry.
EDIT: Now added HRE bonus and capping of FAA bonus.
EDIT: DP example now used real values

Note that this applies to 1.08 + November beta

What's new?
The colony and TP base costs are not mentioned in the Economy FAQ
Otherwise the base costs are the same as in that
The beta release notes say that the 'BB effect on stab costs has been increased' - this post quantifies that
The beta release notes say that each vassal gives a 2% reduction in stab costs (which it doesn't), and then a later patch says that the effect is reduced by centralisation (which it is). Anyway, what I post below is accurate, from tests.
The HRE bonus, only applicable to the beta, and therefore not in the Econonmy FAQ, is covered below

Stability cost =
Base Cost (sum of cities, colonies and TP's)
x DP multiplier
x Badboy multiplier
x FAA multiplier
x Vassal multiplier
x HRE multiplier
x Inflation

1.1 City Base costs
Code:
For each city, a base cost that depends on whether
- the province has the same religion as the state religion
- and what that state religion is

State Rel.     Province Rel.   Cost
Christian      Same Christian   25
Christian      Other Christian  50
Christian      Non Christian   100

Non Christian  Same religion    25
Non Christian  Others           60

Plus/minus the state religion malus/bonus

Protestant	  3
Reformed	  3
CRC		 -6
Catholic	 -6
Orthodox	 -8
Sunni		 -6
Shiite		 -6
Paganism	  5
Confucianism	-10
Buddhism	 -5
Hinduism	  3
1.2 Colony and TP base costs
Code:
Colony  5
TP      2

Size of colony and TP makes no difference
State religion, and religion of the colony/TP make no difference
e.g. for England, 1617
State religion is protestant
Has 16 cities, 7 are same religion, 9 are not
The non-state-religion cities are all Christian
Has 4 colonies, of various sizes and religions
Has 3 TP's, of various sizes and religions

Base costs = 28x7 + 53x9 + 4x5 + 3x2 = 699

2. DP multiplier
Sum of the effects of the positions of the Innovativeness and Serfdom DP sliders

e.g. If Innovativeness is -10, and Serfdom is +20, the multiplier is 1.10
N.B. The effects of the Serfdom DP slider on stability are double normal in the beta, but this does show up in the DP slider tooltip.

3. Badboy multiplier
A penalty is added per point of BB, that depends on BB as a percentage of max BB.
Code:
BB as % of     Penalty per
 max BB        BB point

0 - 50%           2%
50 - 100%         4%
> 100%            Total penalty of 300%

Note, the 50% threshhold is the integer result from Max BB / 2

Examples with max BB 45:
The 50% threshold is 22 i.e int(45/2)
BB   2.3 :  2.3  x 2 =   4.6% Multiplier = 1.046
BB  22   : 22    x 2 =  44%   Multiplier = 1.44
BB  22.1 : 22.1  x 4 =  88.4% Multiplier = 1.884
BB  45   : 45    x 4 = 180%   Multiplier = 2.8
BB  45.1 : Flat      = 300%   Multiplier = 4
BB 100   : Flat      = 300%   Multiplier = 4

4. Fine Arts Academy
-1% per FAA
So with 2 FAA's the multiplier is 0.98
This multiplier is capped at 0.50.

5. Vassal
Stability costs are reduced by a percentage that depends on the number of vassals and the setting of the Centralisation DP slider:

Code:
Centralisation      1st    2nd & each subsequent
                  vassal        vassal
  0                 8             4
  1                 7.2           3.6
  2                 6.4           3.2
  3                 5.6           2.8
  4                 4.8           2.4
  5                 4             2
  6                 3.2           1.6
  7                 2.4           1.2
  8                 1.6           0.8
  9                 0.8           0.4
  10                0             0
The maximum reduction is capped at 20%
Only vassals on the same continent give any benefit
(i.e. Your capital and the vassal capital have the same continent as defined in province.csv)
Vassal religion, size etc. make no difference

e.g OE in 1617 has 6 vassals, Centralisation 5:
So reduction = 4 + 5x2 = 14%
i.e. a multiplier of 0.86

6. HRE multiplier
The HRE gets a bonus of 1% for each supportive elector.
An elector is supportive if relations with the elector are >= 100
Electors are as defined in country.csv. Countries with 2 votes only give the same benefit as single vote countries.
If the HRE is an elector, he does not give himself a bonus.
Example, Austria in 1700. There are 15 electors, of which 6 have rels >=100.
Multiplier = 0.94
 
Last edited:

jdrou

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For people who aren't afraid of math the vassal reduction table translates to:

% reduction = 0.4*(numvassals+1)*(10-centralization) (where numvassals > 0)

(to a maximum of 20%)
 
Last edited:

unmerged(9404)

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Nice :)

Didn't know that colonies and tps affect stab costs, I thought I had tested that.

Johan also mentioned in one of the beta patches that being HRE affects stability costs. Have you tested that?

:eek: That BB multiplier is huge at high BB

The FAA multiplier is capped at 0.5
 

Chas

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Ironfoundersson said:
Johan also mentioned in one of the beta patches that being HRE affects stability costs. Have you tested that?
No, but I will now, and will post and edit
The FAA multiplier is capped at 0.5
Yes, this is fairly well known isn't it. I forgot to put it in and will edit the first post.
 

Chas

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Ironfoundersson said:
Johan also mentioned in one of the beta patches that being HRE affects stability costs. Have you tested that?

The FAA multiplier is capped at 0.5
Yes, the HRE bonus does apply, exactly as detailed in the beta release notes in fact. I have edited it in - thanks for picking me up on that.

I have edited the FAA capping in, also.
 

jdrou

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Chas said:
N.B. The effects of the Serfdom DP slider on stability are double normal in the beta, but this does show up in the DP slider tooltip.
It shows up for me in betas 9/5 and 11/19 (-50% at full serfdom).
(And with the new doubled effect you can't have +15% from serfdom.)
 
Last edited:

DSYoungEsq

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Glad someone else beat me to this!!!! :D
 

unmerged(9404)

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Chas said:
:confused: That's what I said.

In the first post you wrote

e.g. If Innovativeness is -10, and Serfdom is +15, the multiplier is 1.05
N.B. The effects of the Serfdom DP slider on stability are double normal in the beta, but this does show up in the DP slider tooltip.
Serfdom cannot give a +15 bonus, the slider ranges from -50 to +50 thus the bonus/malus is in steps of 10.