"All property rights are absolute: some person or persons must exercise ultimate control over things to be owned. The only question relates to the identity of such parties, an inquiry that was as relevant on the early American frontier as it was in the Soviet Union. If we were to identify all of the persons entitled to exercise some degree of control over a given parcel or item of property, and if the interests of all those persons could be purchased by one person, that buyer would, by definition, be entitled to do anything regarding that property, including destroying it, because there would be no other party entitled to exercise control over it.... Every property is, by definition, subject to the absolute and unrestricted control of someone. This is what is implicit in a “claim of ownership.” Of course, this absolute authority need not be in just one person. An owner might convey his or her ownership interest to a husband and wife, or business partners who, as new owners, would then exercise joint control over some item of property. But the point is that some person— or persons—must have the final word regarding what is to be done with any given property interest. This is why the ultimate test of ownership comes down to the question: who can decide, without having to get the permission of another, to destroy this property?"--Butler Shaffer 

I find this passage interesting. It can thus be said that multiple ownership of a piece of property is problematic but multiple ownership in the decision making process of the same piece of property can be fully operational.