Taxing

[Omnirizon]

Originally Posted by Psycho

I did some testing and:

Without any taking of provinces:

Treasury(i+1) = Treasury(i) + income(i) - upkeep(i+1)

That is, each turn treasury is increased (or decreased) with the difference of last turn's income and this turn's upkeep.


When nation A takes a province from nation B:

Nation B gets income reduced by the amount the taken province earned (as expected).

Nation A gets income increased by an amount that I could not determine. It is not:
a) the amount nation B lost
b) the amount that the province shows as income when captured
c) the amount of income the province would have with the new owner and taxes set to what the previous owner set (including taxes set at 100%)

therefore, if nation A takes province b from nation B on turn t, and sets taxes to 200% on turn t, but then nation B retakes province b on turn t + 1, nation B does not get income(taxes = 200%), but rather gets some as of yet to be determined amount. thus, it is worthwhile to set taxes to 200% whenever a province is captured for which the capturing nation doesn't expect to hold for more than t + k turns, where k is a small constant under which it is worthwhile for the capturing nation to set taxes to 200% for?

OK. makes perfect sense.

[Psycho]

Originally Posted by Omnirizon

therefore, if nation A takes province b from nation B on turn t, and sets taxes to 200% on turn t, but then nation B retakes province b on turn t + 1, nation B does not get income(taxes = 200%), but rather gets some as of yet to be determined amount. thus, it is worthwhile to set taxes to 200% whenever a province is captured for which the capturing nation doesn't expect to hold for more than t + k turns, where k is a small constant under which it is worthwhile for the capturing nation to set taxes to 200% for?

OK. makes perfect sense.

Exactly.

I just wish I could find a formula for the undetermined amount.