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Ivan Pedroso said:
I tried to come up with some graphs myself, but they weren't too informative, but I'll toy around with it, now that I know that someone has looked it
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I probably won't need to tell you the benefits of visualizing when viewing that much data. But, whether you can find anything with any informational value in it, I don't know. Good luck (and, incidentally, Christmas).
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Ivan Pedroso said: I just got curious when Turin mentioned Growth being better than Order when considering income - that seemed a bit odd. And then I got thinking on: "How would I include the Order-event-frequency-reduction-effect in a simple semi-correct manner". It seems that growth is better than order even with this inclusion, but only in longish games, and in a way that seems balanced.
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I think your solution was quite elegant. After all, the effect of randoms is, well, random. But we're dealing with something that affects multiple provinces over multiple turns, so it'd average out on the long run. I'd say the values you have generated would represent the expected values of income over multiple games, each single realization differing a bit. Or something, English isn't my 1st language so this may be a bit incomprehensible.
Of course the actual value of Order's effect is up to debate. I'd maybe rate it a bit higher than 1/0.9 just because in the early game, an unlucky event has both greater chance to hit your capital (only few provinces) and greater impact on your game (a loss hurts more early). If you start with multiple provinces the beginning isn't that big a difference. But I'm a bit risk-averse.