I'm assuming they do, but only because in every campaign I've played so far the AI's diplomat's have had a target fixation for trying to acquire specific territories from you.
For example in my American Campaign the British constantly whine about wanting Maine back, whilst the French are obssessed with Upper Louisianna. In the Ottoman Campaign Poland really, really, wanted me to give them Moscow.
I assume that behavoiur is linked to some list of regions they need to control for victory.
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