The solution to global problems :-)

I like bold titles :-) But just before you read on, I must warn you, you may disagree with the thoughts shared here...if you read on, I´ll be happy.
So: There are so many issues in the world - from AIDS through hunger, flood victims, to victims of wars. All developed countries (and less developed ones, too) are trying to support all kinds of charitable initiatives to tackle these problems.
By sharing responsibility, it´s no one country´s ultimate responsibility to fix anything, though. So here´s what I propose: each country should "adopt" a global problem: e.g. the Netherlands will come up with solutions to alternative energy from water (hydro, tidal, wave). They would be accountable for always developing new technologies and governments and businesses worldwide would all come to the Dutch for solutions.
I understand we´d have to work out (1) how problems would be allocated to countries, (2) how can we ensure the quality of the solution if there is no market economy involved, (3) how can we make sure solutions are offered to businesses as well even though they do not always participate in the development.
Yes, I know, the theory is not fully developed yet. But imagine, the UN would get together and list all global problems and prioritize them. Then they would estimate the cost of solving it. And countries depending on their wealth would become responsible for 1 problem each. And in case they fix it (e.g. there is no more hunger in the world), they receive a new task, the next one on the priority list.
I also understand that this approach seems to simplify the complexity of issues (e.g. such as hunger - it´s a consequence of many factors). I also accept the criticism for calling this approach very "command and control"-like, even going against the fundamentals of the currently dominant free market economic system.
Yet, I still see a point in clarity (it´s clear who does what) and accountability (countries can hold each other responsible for meeting or not meeting the timeline of projects).
Oh, and maybe someone else already came up with this theory and it was already tried and went wrong. In that case, this is just a reminder of how ideas in different people´s minds reoccur.
The underlying assumption to this approach is that (1) we all care, (2) countries are willing to become part of this regardless of the changes in the government.
So, any questions? Where do we get started?
Let me know!