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Variable interaction and game mechanic formulas (population growth)

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Greetings!

Game mechanics fascinate me, especially how one variable affects another one. Sometimes these are simple and abstract while other times they are complicated and nuanced. Collect a certain resource or resources and build a certain building—simple. Then on the other end of the spectrum you've got grand strategy games like Crusader Kings 2 where one decision might have an effect on several variables, no two play-throughs being exactly the same. 

Then there are times when you don't know exactly what affects a game variable, at least not at first glance. For example, population growth in …


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