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The Best Tax Rate is 50% - PROOF
Using math, I will prove that the optimal tax rate is 50%.
Population = [1 - (0.01 x Tax Rate)] x Max Population
Tax Income = (0.01 x Tax Rate) x Population
so Tax Income = (0.01 x Tax Rate) x [1 - (0.01 x Tax Rate)] x Max Population
It's simplifying time!
TI = (0.01 x Tax Rate) x [1 - (0.01 x Tax Rate)] x Max Population
TI = (MP / 100)TR x (1 - 0.01TR)
TI = (MP / 100)TR - (MP / 10,000)TR^2
Tax Income = (Max Pop / 100) x Tax Rate - (Max Pop / 10,000) x Tax Rate^2
If you plug in any max population, it always comes out with a tax rate of 50 being the best.
You could also graph it as a parabola, with TI= -(MP / 10,000)TR^2 + (MP / 100)TR
Here's the graph for a max population of 10000.
http://bbs.civony.com/attachment.php...1&d=1239301638
I think that that proves it pretty conclusively.
Your examples math is off
Quote:
Originally Posted by
haiku
there are 2 different tax modes I use: online, and offline.
when online, I set tax at 100% and use disaster relief for a 5% gain about every 20 minutes. if you don't have a surplus, the food it uses can usually be purchased much cheaper than the gold gained.
When I go offline I set it to either:
1 - ( labor force / Max population ),or 50%, whichever is smaller
two examples:
1 - ( 7000/1000 ) = 1-( 0.7 ) = 0.3 = 30%, set taxes to this.
1 - ( 3500/1000 ) = 1-( 0.35 ) = 0.65 = 65%, set taxes to 50%.
this differs from a set 50% because your labor force (required for resource production) may be greater than 1/2 of your max. pop. and 50% tax would cut into production.
the reason for not going below 50% has already been stated.
one more thing, using this method means that when I login my population is nowhere near max. Ideally you want to be taxing as many people at 100% as you can. the population raising comfort uses a LOT of food, but it is an instant 10% increase in pop. if you are going to be on for a long session using a couple of these early can mean more money in the long run.
Your examples math is off, 7000/1000 equals 7 not .7 and 3500/1000 equals 3.5 not .35.....I guess you meant 7000/10000 and 3500/10000 because you would never have a larger labor force than max population!!!
too much micromanagement for me
Quote:
Originally Posted by
Esplin
This was already covered. The only way to increase population is to lower the tax rate. When you sleep, set it to just enough to cover paying your heroes (usually 3-4%). When you log back in, your population is 96-97% and you can set your tax to 100% and make gold at the max rate for as long as you're playing (all day for us no-lifers). At least, that's what I do. I don't bother with this 50% nonsense.
Who in their "right" mind would micromanage their game all day like this? Who even has the time to do that constantly.
I play this game casually and cannot comprehend anyone spending every 15 minutes of their day doing comfort just to get some extra gold?
Just set a base rate near 50% adjusted for your labor force and enjoy the rest of the game.
There are too many lag problems as it is lately to trust the server doesnt crash and you log back in to find your city rioting!!!
Not fun at all, tyvm.