The most idiotic thing I have ever see any AI do in this game...

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Chaingun

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AI should simply have a preference to occupy/siege near provinces over faraway ones.

Surprise, it already does. If it didn't, you would constantly see very weird things (or rather, weirder than now). The problem is that it can't choose close provinces all the time. Whether going into Persia as Sweden (in EU4) is actually a good idea depends on some conditions that are potentially expensive to compute.

To circumvent this we might be able to add a rule like "don't siege a fort unless it is at most X units of distance away from closest controlled province on the same contiguous land area or there is no closer fort", disregarding naval invasion complications. The risk with adding such a rule is the AI becoming predictable. We might consider adding it nonetheless if it looks practical. On the other hand, it might be possible to do something better and increase the AI's strategic awareness. 2016 will be interesting. :)
 
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