My point is this: the documentation is being misleading. The way it is written implies:
Edu_t = min{A_t,B_t,C_t}
That says the education index depends only on current information - t -, and it equals the lowest of the sub-indexes. That is obviously false.
Now, what I wrote is the lazy way of writing:
Edu_t = (min{A_t,B_t,C_t} + Edu_(t-1) + Edu_(t-2) + Edu_(t-3) + Edu_(t-4))/5
That says it depends on the current information - the smallest of the sub-index, and on the indexes of the previous four months, not five.
Why should this matter?
1. If someone comes up and says "I've taken the lowest of the three partial indexes, adding to it 4 times the current education index and dividing the result by 5, but I'm still getting the wrong number", they'll know why. It's not their fault, but they are doing it wrong.
Look at that, it really has been a while since I've posted something that big.
While you guys may not understand the "sigma thingy", I hope you do understand the "short and rough of it" and the why as well.
I still cant see whats wrong with Edu_t = (min{A_t,B_t,C_t} + 4*Edu_t)/5
It's a simple average, not a convoluted integral.
But I do understand you economists need to play with your numbers until they are meaningless.
Let us write that as: X = (Y + 4X)/5
With little manipulation, it can be shown that yields: X = Y
Also, there's an underdeterminacy problem if you try to calculate it exactly the first way.
it'll take some 5 to 6 game years for the index to settle, when all the sub-indexes are at 200.
Yes I do understand the weights on the averages take some time to catch up to their true values.
It is even worse for Health index,,,, takes waaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaay too long to catch up.
What does the formula for the Health index look like LG? I appreciate the detailed explanations that I'll never figure out, even if I had a real year to brush up on math lol.
The health index has only one component which is hospitals.
The index is initially converging to the number of hospitals you have divided by the number needed. (5x + old index)/6.
However, It is assumed that just adding hospitals will not increase the health care in this way (linearly) for ever and that the cost of increasing quality will become higher at higher levels.
This slower growth starts at 120.
if you double the number of hospitals you had when the index was at 120, (and assuming nothing else, like population has changed)
the index will not reach 240 but rather: 180 or so.
reaching 150 is easier and it is probably high enough.
oh yeah not complaining Andy just pointing out the lag when compared to the edu index.
But yeah since I have you here, I have an interesting question.
If you do go to double the amount of hospitals, once you get to say 140-150 can you drop back down to 1.5 times the Hospitals needed to hold the 140-150 index value?
Give me a hand here, are you saying that X is the value to which the index is converging to? And you are saying that in the weighted average, it's coefficient is 5/6? Then the index should reach X in one game month or something. Is this what you people see?
Andy, got a question btw: If you have to double your hospitals to get from 120 to 180 does that slower rise is at least linear or is it even more increasing? So do you have to quadruple your Hospitals to get from 120 to 240 or do you need even more? And if you need more than 4 times your hospitals from 120 to 240 then how many more is it to 280?
Health index of 150 is maybe enough but for Peacefull lvl 10 you allready need 160 ^^
SweetPea
I understand what you say but it does not work like this.
if you reduce the number of hospitals, the index will decline.
I also realized the difference in the "lag" when I looked into the formulas.
there is no good reason for this. I will change health to 4/5 too.
will be part of the update tomorrow.
Laguna,
X might be the value the index will reach at the end.
5/6 is used to set the pace of convergence.
4/5 is a bit faster.