Conceptual Balance Series (Mod)

[Ivan Pedroso]

Turin said:
Growth seems to be far better compared to order.

I ran a test game, where I gave one god order 1 and the other growth 1, order started with 166 income growth with 163. I just ended the turns after checking incomes.
After the second turn growth income jumped to 165 and after the 6th turn he was already at 167.

I suggest removing the extra 2% gold bonus growth gets, it is already a very worthwile scale withe the increased population growth effect.

Nevermind the following - it's wrong

Couldn't help doing a bit of algebra:

Income from province with Order+1 (on the N'th turn):
population / 200 * 1,06

Accumulated income with Order+1:
population / 200 * 1,06 * N

Income from province with Growth+1 (on the N'th turn):
population / 200 * 1,04 * 1,0003^N

Accumulated income with Growth+1:
population / 200 * 1,04 * Sum(i=1 to N of)[1,0003^ i]

The Last term in the above is a geometric series which adds up to:
Sum(i=1 to N of)[1,0003^ i] = (1 - 1,0003^(N+1))/(1 - 1,0003) - 1
Sum(bla bla)[bla bla bla] = (1,0003^(N+1) - 1) / 0,0003

Equating the two different accumulated incomes (Order+1 = Growth+1) gives:
1,06 * N = 1,04 * (1,0003^(N+1) - 1) / 0,0003

Here are the values of the left- and right-hand sides of this equation for some values of N:

Code:

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N     Left(Order+1)  Right(Growth+1)  

1      1,06000	       1,040312

50    53,00000        52,399756

100  106,00000       105,591314

125  132,50000	     132,487750

126  133,56000       133,567808

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All this (crap ) just to say that in terms of income Growth+1 overtakes Order+1 after 125 turns. If you choose +3, Growth will ovetake Order at turn 115.