All quite rudimentary, I will rely on the community to provide good input to fine tune these ideas (and shoot off the bad suggestions!):
Change to science system:
1. You need to invest gold to level up scientists --> the more you invest in a particular scientist the faster it levels up.
2. Reaching higher levels will be relatively easy --> = fun to see ur provs get smarter every day!
3. Scientists have no leveling cap.
4. Can only assign a certain number of scientists per category (say 20). After you have done so, you can only go higher by leveling them up more.
5. Remove random factor from scientist training. Simply have a counter running down --> we are utopians, we like to be able to calc stuff!
6. Significantly decreases returns on getting more sci.
Former system (which did mean decreasing returns, BUT still allowed for huge sci stacking to make a difference):
Science level = Number of scientists*average skill level
Sci effects = (science level)^0.3
I don't know if this was the exact formula, just to make a point. I left out the category modifiers since it's not very important for this argument.
Proposed system (can compare it to income tax brackets in most countries):
In the new system your science level would be chopped up (let's call them box-taxes):
1-50 --> *1 (box 1)
51-100 --> *0.75 (box 2)
101-150 --> *0.6 (box 3)
151-200 --> *0.4 (box 4)
201-250 --> *0.3 (box 5)
251-300 --> *0.2 (box 6)
Number of scientists: 20
Average scientist level: 12
Science level before box-tax = 20*12 = 240
Science level after box-tax = 50 + 37.5 + 30 + 20 + 12 = 149.5
Sci effects: 149.5^0.3 = 4.5
Compare with:
Number of scientists: 20
Average scientist level: 6
Science level before box-tax: 120
Science level after box-tax: 50 + 37.5 + 12 = 99.5
Sci effects: 99.5^0.3 = 4
4.5/4 = 1.125, thus a 12.5% increase for having 2x as high science levels.
Advantages of this system:
Still infinite possible gains --> fun to play tweak with.
Highly educated scientists will now become a saught-after commodity --> the search for the super-professors has begun!