Re: The UN
"I wonder how, as the UN has no coercive power, but only coordination power."
You can have lots of different flavors of Power. But all power is the kinetic and/or potential ability to make something happen or to stop something from happening. Power is the transformation of an idea into a result. Political Power is making other people do or not do [something]. It is harder (requires thought & energy) to create order, it is easier to create [or "allow"] disorder.
Money is Power. Art is Power. Communication is Power. Life is Power. Etc.