Admin bonus to be researched

[zhuge]

A recent thread got me thinking about it... I mean it appears that we've discussed all other Income sources already:
1)Mining (very straightforward)
2)Farming (rather straightforward)
3)Taxes (rather complex)
4)Trade (rather complex)

Not sure we've covered Admin though which appears to be complex as well and is determined by at least Governor's Management and Tax Rate. No governor or a governor with no management means no Admin income so the Governor's Management may function as an overall multiplier in some way.

It also appears that town buildings influence Admin as you can sometimes see a slight rise in Admin when you are constructing a new building.

Would be nice if we could get this cleared up (even though it's a pretty small bonus as compared to the other 4 income sources above), if we haven't already done so.
I'll try to help but will be busy for the coming week or two, so no promises.

[Owen]

I suspect that "Admin" income is the increase in city income from having the governor in the city. In particular, I expect it is proportional to the city's unmodified income (or just certain parts of it) multiplied by the governor's management rating.

This is consistent with "admin" income increasing when certain buildings are completed if these buildings affect the city's base income.

[zhuge]

It looks like the Admin bonus involves more factors than I originally thought.
So far factors that need to be taken into account are:

1)Gov's Management

2)Tax rate

3)Buildings (trader, farms, roads, ports all have an effect though it is rather small, probably mines too and temples which boost farming or trade should also be looked at)

4)Population (yes, an increase in population gives an increase in Admin bonus and what's more confusing is it may not be compounded by tax rate as the other factors - there is a significant disparity in ratios for different population sizes)

5)Campaign difficulty (appears to be an overall multiplier as for other income sources)

This will need some time to sort out (assuming there are no additional factors in play). Would be nice to have someone work on this and shift it to the Ludus Magna forum when we've some solid findings.

[zhuge]

Ah, I think I've gotten it. I was not seeing the woods for the trees so to speak which was why I got stuck on the individual factors.

Well actually the formula for Admin bonus is really quite simple and is actually:
A = (0.02)(M)(total of all other income sources)

A - Admin income
M - Management rating of governor

Yep, it's as simple as that.
All income sources = Trade + Taxes + Farms + Mines
Since all those income sources are dependent on many other factors, it suddenly appeared that Admin became hugely complex to analyze but once you took a step back to look at the big picture logically, you started seeing things in another light.
Admin is therefore not directly influenced by campaign difficulty as a separate modifier but since it's components (such as Taxes and Farms) are influenced by campaign difficulty, a shift in campaign difficulty causes a change in Admin as well.

Ok, we've gotten everything nailed down I think for all income sources, so if therother could kindly do a concise summary of all formulae, we should have that economics part of a future guide all written out nicely.

[Owen]

Yes, that was exactly what I was suggesting, sorry if it was unclear.

Thanks for doing the testing.

[zhuge]

Sorry, I should have paid more attention to what you said. I read your post but didn't really give it much thought but now on rereading it's really quite clear. D'oh. I guess I was so hung up on buildings and the individual factors that "city's unmodified income (or just certain parts of it)" somehow didn't strike me. My bad.
Anyway, I'm still glad we've got the thing figured out.