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Arryn said:
...if a province's dominion "fills up", it will continue to spill over into successive provinces ad infinitum, in an expanding ripple,
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There's no need for adjacent provinces to completely fill up for your dominion to expand further. In the aforementioned testbed after 100 turns, although my capital and the surrounding provinces had reached max dominion (10), it was only about 5-6 average 4 provinces away. Interestingly enough, the farthest province (11 away from the capital) showed a dominion of 2, while it connected to my 'dominion area' thru provinces where the dominion was only 1.
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without the need for a "temple check" in that, or a directly-adjacent, province. This is the best way to explain dominion spread as Nagot is asserting.
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FYI, I made a similar testbed with 2 nations, one (let's call it A) had a dominion of 10, the other (B) had a dominion of 8 + 9 extra temples (so 10 temples with one in the capital, ie an effective dominion of 10). I placed the capitals in opposite corners on a large map. Both dominions spreaded at a steady rate, with B spreading marginally faster. When the 2 dominions came into contact, B started to overrun A, and slowly pushed it back to its capital. At the time I stopped the experiment (after 100s of turns), B's dominion was about 10+ times as big as A's.
I have to say I ran this testbed in the early days of Dom:PPP, but from what I've seen I don't think the mechanics of dominion spread have changed, so I believe you could get similar results if you conduct the same experiment in Dom 2.