Kronos - Building Construction Speed Bonus Inaccuracies

[Siniara]

• Game Version: v100.17.36100.0 (494852R)

• Build Number: 15978079 (Steam Build ID)

• Platform: Steam

• Operating System: Windows 11

Issue:

One of Kronos’ bonuses reads:
“Buildings are constructed 25% faster per nearby manor.”

I have tested this with the Counter Barracks and the Palace, and have found this not to be true. The buildings are constructed faster, but the percentage increase is lower than the bonus indicates.

I tested this with 1 non-heroised citizen building the buildings either next to none, one, two or three manors. I compared the actual build time taken with a timer with the theoretical build time calculated using the compound interest formula.

Theoretically, any building’s build time with the bonus can be computed by:
final_build_time = default_build_time * (1 - kronos' bonus)^number_of_manors

let:

• default_build_time = T0
• kronos' bonus = 0.25
• number_of_manors = m
• final_build_time = T
  which then simplifies to:
  T = T0*(0.75)^m

The theoretical build time for Counter Barracks (CB).

With no manors (m = 0) the time taken to build 1 CB with 1 citizen is 17s.
Using the formula we can obtain the values for any number of manors, I give the first three in order: 12.75, 9.56, 7.17. I.e., it should take around 7s to build CB if it’s within the zone of influence of 3 manors. I compare this with the actual, measured construction time in this rudimentary table below.

The columns in order: number of manors, theoretical time in seconds, measured time in seconds.
Numbers are rounded to the nearest whole second:

• m = 0, - , 17
• m = 1, 13, 14
• m = 2, 10, 11
• m = 3, 7, 9

Instead of a constant 25% reduction in value we get, in order from 1 to 3: 18%, 21%, 18%

Same for the Palace:

• m = 0, - , 54
• m = 1, 41, 43
• m = 2, 30, 35
• m = 3, 23, 28

Real reduction in value in order from 1 to 3: 20%, 19%, 20%

Have only tried with these 2 buildings and 3 manors as timing all of this is time consuming. Maybe someone could confirm with other buildings/more manors?

Repro Steps:

1. Determine the default build time for a building
2. Build 1 manor
3. Build the building next to the manor and time it
4. Subtract the time from step 3 from time from step 1
5. See if the difference is 25% of the time determined in step 1.
6. Repeat with other buildings/multiple manors

[ConvertThis4915]

Hey, just for reference, these are the real numbers on the Manor bonus:

Counter Barracks, 16.66667 build time (25 Build points / 1.5 build speed of atlantean citizen)
16.66667 / 1.25 (1 manor) = 13.333 build time (seconds)
16.66667 / 1.5 (2 manors) = 11.1111 build time (seconds)
16.66667 / 1.75 (3 manors) = 9.523 build time (seconds)
16.66667 / 2 (4 manors) = 8.333 build time (seconds)

This is considered intended behaviour

[Siniara]

Thanks for the reply and the reference values!

I can follow it, but then I don’t really understand what relation these values have with the description of 25% faster; I don’t see that ratio anywhere?

As already shown the time gain isn’t 25%, and from what you shared neither is the citizen build speed increase. So maybe the bonus description should just be worded differently?

Your table:

vs
If you would increase build speed by 25%

The entry for one manor case is the same, so there you could say that the citizen had its build speed increased by 25%. But on the whole, it then seems that there is a flat reduction of build points when building near manors and then the citizen’s build speed is increased by 0.25 per manor (having an initial drop of 0.25), which just doesn’t correspond well with the bonus description I feel.

And just for fun and reference, if you would decrease build points by 25% instead:

[ZagorathAus]

Oh that’s interesting. So the second Manor increases it from 25% faster to 50% faster, instead of being a 25% increase over the previous speed (which would be 1.25 × 1.25 = 1.56), which is what I think would be more intuitive.

Do all the other bonuses in the game also stack additively, rather than multiplicatively?