..whether a player or the AI gives right of way to others, it's a risk all time

Right of war without being in a coalition, which happens automatically, is giving an opponent the right to have their way with your country.

Ladies and gentlemen, we have a winner.

You cannot have an alliance relationship (either "shared map," or "shared intelligence" for High Command members) with an AI country, but you can have a mutual right-of-way relationship with an AI country. A mutual right of way permits both countries to move their units freely through the other without starting a war, and even using that ROW to attack a third country by passing through the country with whom you have the ROW.

FYI, this happens all the time. Nothing to see here. Move along.

I also noticed that in some instances the AI country, even without RoW agreement, that they will not go to war until you bombard them or try to take possession of their provincial capital ...

i swear a ai just gave me shared map

Managing relationships with AI can be a bit complicated for just a few words here. Search the forum for tips on managing your reputation or popularity. The AI are quite logical in many ways, reacting to specific things that you do.

Pretty sure the OP was referring to a no right-of-way situation with blatantly aggressive moves into AI territory. Doesn't sound like much of a problem though.