A larger/greater/richer power can for instance afford the cost of greater advisors. And as someone already mentioned here, you can reduce the cost in points of things like stability and tech.
This is great, now, after this DD, my concerns about the uncontrollability of the monarch points resource is completely gone.
At the least, DIP&ADM points->money->advisors->points is there.
2) I'd really like to see some options - including NIs, decisions, and buildings - that, for a cost in ADM points, money, magistrate activity and ADM/DIP/MIL points would establish a constant source of ADM/DIP/MIL points. Examples include, but are not limited to: military academies and equivalents, low-level schooling (from Volkschule to Ratio Educationis), establish Sunday schools edict (church-run education), etc.
Just as a rough example, say 100 ADM + 100 MIL monarch points, 200 ducats, 6 months of magistrate activity, and a prerequisite tech level and NI, I could be able to establish a Military Academy which would, from now on, provide me with an extra +1 MIL point each month.
This would be a costly (both in money and ADM points) way to expand the monarch points pool, but would allow a gradual progression of a bureaucratic transition to take place during the game. This way, by the 1700s an incompetent (to say the least) ruler would be a nuisance, but not something threatening with immediate collapse.
3) In EU3, one of the most immersion-breaking things was the way I could make an unlimited number of royal marriages - sometimes when I found little other use for diplomats, but needed an improvement in general opinion by the neighbours, I did make well over a dozen royal marriages.
Thus I propose that a source of 'ring resources' as someone (Merrick chance, IIRC) put it, i.e. an available number of male and female close royal relatives be included. They need not have a face, perhaps not even a name, but I should be limited by my king only having 2 daughters, 3 sons and a sister. Obviously, royal marriages should be buffed - not only a substantial relation increase, but also a trigger for many more diplomatic options. (No characters, no dynasty system beyond the current EU4ß, just a pair of 0-N counters for each state.)
This would also mean that in some cases I have the required 'ring resource', but the other side doesn't. Or it does - just it would be an opposite-direction marriage, which is strategically a bad choice. Or flavorful events, like the Hapsburg-Jagiellion crossmarriage, e.g. a marriage each way, with the consequence that if one dynasty dies out, the other inherits its holdings. Bohemia, Hungary and Silesia, in this case. Hapsburgs...
Obviously, some more information on eligible heirs would help a lot - just to know whether this idiot bastard is my only heir, or somehow hidden behind him in line there is a legitimate and genius child (sometimes the EU3 engine basically did this). Or that my firstborn is 20 y.o., so my old king kicking the bucket won't cause problems - however, the second son is only 5, thus in case the first heir dies, a long regency is unavoidable.