During my first game, I played Austria. I got Bosnia from Turkey, and then I was attacked by Prussia and allies, so I annexed 2 small german states and forced Posen and Silesia from Prussia itself, and suddenly EVERYONE wanted to "contain" the horrible me: France, UK, USA, Russia, Sardinian, Papal States, Two Sicilies, Persia, Japan, Corea, Vietnam, Cambodia (sic! The glorious Cambodian War of Austrian Containment), later even Bavaria and Baden backstabbed me.
USA started three wars to contain me. France and UK would also, but they got busy containing each other. Eventually it got tedious and I decided I will not be annexing. I started a new game, got the Bosnia, got attacked by Prussia... and can't demand anything, not even money, from it.
I also think it should be possible to offer money for peace.