How does this work, is there any way to increase it besides random events? Seems to take most of the game to get high authority :-\
It's pretty much just random events, yeah. In my most recent Byzantium game I got 100% Patriarch Authority (for the achievement) by about 1590, IIRC.
Well at the moment the PA events are abit on the low side for weight. Wiz said that they'll change that in 1.9.
Playing as Muscovy I have 25 in 1520, in my last game I had about 70 in the 1700s I believe, seems kinda crappy compared to reformed but I guess everything does. Just kinda annoyed I cannot convertNo missions for Muscovy.