Thalassicus
Bytes and Nibblers
Goal
1 citizen costs 1 2, and can work a tile for 3 3 3 or 3.
Tile yields must be whole numbers. We cannot have 1.5 gold on a tile, so a ratio like 1.5 gold = 1 production would not be a practical goal. (The value of food drops when our empire is unhappy, so it's balanced with a slight bonus - lower numbers are more powerful.)
Problem
Consider a city with 12, a library, and 1 scientist. We get 1.8 sci per pop, which does not meet the goal. Scientists contribute 15% of the total science in this city. The numbers prove the intuition many people feel - scientists are too influential:
12 = 1. * 12 from pop
06 = .5 * 12 from library
03 = 3. * 01 from scientist
====================
21 / 12 = 1.8 per
03 / 21 = 15% from scientists
Now consider if 12 citizens are working 11 villages of 2 apiece, 1 merchant, and 1 market:
02 = city tile
22 = villages
03 = merchant
09 = market
====================
36 / 12 = 3.0 per
03 / 34 = 9% from merchants
Possible Solution
Now consider that if we double all science income and double all tech costs, nothing really changes, right? We just make all the numbers bigger. So let's consider what happens if we apply something like this to science. Consider a similar city to before:
24 = 2 * 12 pop
12 = 1 * 12 library
03 = 3 * 01 scientist
====================
39 / 12 = 3.2 per
03 / 21 = 8% from scientists
The final values of science are almost identical to those for gold, and very close to the goal of 3 yield per pop.
What are your thoughts on this analysis? Do you have any questions, or see anything I might have overlooked?
1 citizen costs 1 2, and can work a tile for 3 3 3 or 3.
Tile yields must be whole numbers. We cannot have 1.5 gold on a tile, so a ratio like 1.5 gold = 1 production would not be a practical goal. (The value of food drops when our empire is unhappy, so it's balanced with a slight bonus - lower numbers are more powerful.)
Problem
Consider a city with 12, a library, and 1 scientist. We get 1.8 sci per pop, which does not meet the goal. Scientists contribute 15% of the total science in this city. The numbers prove the intuition many people feel - scientists are too influential:
12 = 1. * 12 from pop
06 = .5 * 12 from library
03 = 3. * 01 from scientist
====================
21 / 12 = 1.8 per
03 / 21 = 15% from scientists
Now consider if 12 citizens are working 11 villages of 2 apiece, 1 merchant, and 1 market:
02 = city tile
22 = villages
03 = merchant
09 = market
====================
36 / 12 = 3.0 per
03 / 34 = 9% from merchants
Possible Solution
Now consider that if we double all science income and double all tech costs, nothing really changes, right? We just make all the numbers bigger. So let's consider what happens if we apply something like this to science. Consider a similar city to before:
24 = 2 * 12 pop
12 = 1 * 12 library
03 = 3 * 01 scientist
====================
39 / 12 = 3.2 per
03 / 21 = 8% from scientists
The final values of science are almost identical to those for gold, and very close to the goal of 3 yield per pop.
What are your thoughts on this analysis? Do you have any questions, or see anything I might have overlooked?