What do you think of creating private property rights in outer space?
Now, that is an interesting question. I'm all for it! I've seen commentary that the "law of the sea" treaty, (sorry, but I can't remember the exact name of it), is aimed directly at your question. They seek to claim that mineral rights for places like, say open ocean, don't exist. If some smart feller decides to build an oil rig in the Atlantic Ocean, all the little pissant kleptocracies across the planet want a cut of the profits, because of some sense of ownership of natural resources by "all mankind". They seek this treaty as precident so they can pull off the same trick in space whenever someone is able to actually mount commercial ventures there.
Imagine, if you will, a company that figures out an economical way to either mine asteroids in situ, or move one into an earth orbit for mining. A good sized asteroid will contain more metal than has been mined in the history of mankind. Should those who took the risks to capture the resources of space be forced to share the wealth thus created? I think not, but there are a lot of socialists who believe otherwise.