The problem
The amount of professionalism you gain from drilling each year scales with your force limit, maxing out at 1 if 100% of your force limit is drilling.
But this formula penalizes nations that have bonuses to force limit, from traditions, ideas, or whatnot. A nation with +20% force limit, say from offensive ideas, has to pay more to retain and drill that extra 20% to maintain the same growth of professionalism as a nation without offensive at all. This leads to the bizarre outcome that nations with the same development and fewer military ideas/traditions can grow professionalism more easily than nations with more force limit bonuses.
On the other hand, a nation with 50% local autonomy everywhere would only need to drill about half the number of troops to gain 1 professionalism yearly. Somehow that doesn't seem quite right.
The solution
To rectify this, I propose that
Professionalism gain should be based on the proportion of troops drilling relative to your developmental force limit.
That is, the force limit you would have based on your development (assuming 0% autonomy everywhere), before any ideas or traditions come into play.
The justification
Intuitively, this makes sense because
1) development represents how large your nation is (and thus how much expense it would take to professionalize),
2) autonomy represents how organized your nation is (so higher autonomy should not help you gain professionalism), and
3) force limit bonuses represent how much more efficient your army is (and so should not penalize professionalism gain).
So if you have an extra +50% force limit from quantity, you would not be obliged to drill that extra portion to maintain the same professionalism growth as a nation without that idea. On the other hand, nations with a huge amount of autonomy would find it difficult to grow much professionalism.
For nations that drill over 100% of their developmental force limit, the game could scale professionalism to grow faster than 1, or else cap it to 1. I would vote for the first.
The amount of professionalism you gain from drilling each year scales with your force limit, maxing out at 1 if 100% of your force limit is drilling.
But this formula penalizes nations that have bonuses to force limit, from traditions, ideas, or whatnot. A nation with +20% force limit, say from offensive ideas, has to pay more to retain and drill that extra 20% to maintain the same growth of professionalism as a nation without offensive at all. This leads to the bizarre outcome that nations with the same development and fewer military ideas/traditions can grow professionalism more easily than nations with more force limit bonuses.
On the other hand, a nation with 50% local autonomy everywhere would only need to drill about half the number of troops to gain 1 professionalism yearly. Somehow that doesn't seem quite right.
The solution
To rectify this, I propose that
Professionalism gain should be based on the proportion of troops drilling relative to your developmental force limit.
That is, the force limit you would have based on your development (assuming 0% autonomy everywhere), before any ideas or traditions come into play.
The justification
Intuitively, this makes sense because
1) development represents how large your nation is (and thus how much expense it would take to professionalize),
2) autonomy represents how organized your nation is (so higher autonomy should not help you gain professionalism), and
3) force limit bonuses represent how much more efficient your army is (and so should not penalize professionalism gain).
So if you have an extra +50% force limit from quantity, you would not be obliged to drill that extra portion to maintain the same professionalism growth as a nation without that idea. On the other hand, nations with a huge amount of autonomy would find it difficult to grow much professionalism.
For nations that drill over 100% of their developmental force limit, the game could scale professionalism to grow faster than 1, or else cap it to 1. I would vote for the first.
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