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Richard Bruns
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NC, USA
Nov 1999 time: 06:13
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As I designed the system, I assumed that the percentage scale is logarithmic. Each 10% increase in a tech represents approximately a doubling in knowledge of skill. The cost of upkeep and advance both depend on the current level of the tech; the effort doubles about every 10%. So the effort you put into it as a proportion of your economy should be constant.
Here is an preliminary equation and explanation I sent to LGJ in an e-mail a while ago:
I thought that was already decided. I liked the idea of having to spend RP's based on the level of the tech. As you learn more, you have to increase the effort to increase your knowledge to things that are harder to learn. Also, you have to constantly spend RP's to keep techs at their current level. This too is based on tech.
So we have a differential equation of the form dP=(RP-a(bP^n))(c/(dP)^m) where a, b, c, d, n, and m are constants, P is the current percentage and RP is the amount of RP's spent on that tech.
If RP is zero, the tech declines at a rate proportional to the level of the tech. If RP=xP, there is no growth. You can see that the input required to keep the tech level constant increases as the tech does, to simulate the greater amount of teaching required. In between these two, the decline is less rapid but still present. If the first term is greater than zero, then the tech rises, but the rate of the rise slows as the tech level inreases.
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