One Solution probably would be to limit Bureaucratic buildings to be something akin to 1-per planet. With Mid to late game tech to designate a "Bureaucratic Planet" similar to Resort Planet and Penal Colony decisions in game. But i dunno. i feel this would atleast be a bandaid solution? Thoughts?
Arbitrary limits, that's not what enriches the game. The problem is, administrative capacity can completely override empire sprawl penalties, as it's just an addition and subtraction system. Just make it non-linear and the problem will be solved easily. Obviously, it also depends on the formula, but it adapts and the possibilities are endless. Afterwards, we can choose or not to develop a more advanced gameplay around the administrative system. I quote my first message from the subject.
You can't build something larger than McDonalds without at least some form of internal accounting system (bureaucracy). How are you going to have an Empire across multiple star systems without a few bureaucrats here and there. Like I'd welcome a...
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Obviously, I know that I always tend to complicate things and think big. Just take this simple equation.
An example of a formula:
AIL = ES^0.5/(AC^0.2+1)
AIL : administrative ineffiency level
ES : empire sprawl
AC : administrative capacity
Forget everything I said and put the technology and other penalties according to this administrative inefficiency value.
But I didn't do that.
The empire sprawl affects the cost of technologies, traditions and campaigns/ edict.
These penalties cannot be reduced by administrative capacity. Why? Because we can already compensate for these penalties by increasing the outputs of science and unity.
This would also make a duplicate mechanism.
Instead, in my idea, the administrative capacity serves to counter penalties related to the internal management of the empire.
The administrative capacity is therefore to manage its empire and not to replace scientists and producers of unity.
In my formula, there is a voluntary imbalance.
The effect of the sprawl empire is diminished by a square root.
The effect of administrative capacity is diminished by a 5th root.
The roots are there to limit the growth of the penalties (because I put important penalties and I wanted to limit the number of stages) and also to introduce a non-linear growth.
At first, administrative inefficiency rises "rapidly", then it rises more "slowly", but continues to rise.
Administrative inefficiency is therefore a mechanism that also affects “small” empires, but to a lesser extent (the penalties for the first levels are “low”), so even small ones can choose an approach to administrative inefficiency.
"Ignore" in part, so you will have higher penalties, but fewer buildings and administrative workers who can be used for other things.
Have a moderate approach.
Or invest more heavily in administration to at least have one level less than the moderate approach. Each can have its advantages and disadvantages, depending on the situation of each empire.
The roots also make that the great empires are not over-penalized, they already have the penalties on technologies and others related to the sprawl empire.
And the growth and cumulative penalties end up destabilizing their empires and each of their planet.
Obviously, there is a stage where the penalties are undoubtedly too great and will have to choose other approaches to continue to grow, such as dependencies for example or federations.
Using roots (instead of just linear growth) will delay this and extend the range of viability of large empires.
This introduces an interesting choice + science and unity to counter the empire sprawl penalties or + administration to counter the administrative inefficiency penalties?
There, there really is a choice, it is not a simple mathematical calculation, is it more profitable for my scientific research to have at this time more scientists or bureaucrats?
It can also have an impact on the nature of empires.
For example, an empire with its empire sprawl equal to its administrative capacity will be level 4 between around 250 and 500 empire sprawl.
An empire that would have its administrative capacity equal to 3x its empire sprawl would also be level 4 between around 425 and 825.
These two quite different sized empires would therefore have the same administrative inefficiency penalties, but not the same empire sprawl penalties.
A third empire that would be the size of the second with an administrative capacity equal to its empire sprawl would be level 4 to 6 (average of 5).
It would therefore be more penalized for its internal management, but if it does not have to triple its number of bureaucrats, it will perhaps have more scientists and producers of unity, therefore possibly a technological and tradition advantage.
So these three empires are different.
The small empire has the lowest research costs.
The two great empires arguably have greater economic powers.
One undoubtedly has a technological advantage, the other has lower penalties and more stable planets.