I know Wikipedia is not an excellent reference, but I quote from Wikipedia:
Demoktesis is a thought-experiment designed to show the incompatibility of democracy with libertarianism in general and the entitlement theory specifically. People desirous of more money might "hit upon the idea of incorporating themselves, raising money by selling shares in themselves." They would partition such rights as which occupation one would have. Though perhaps no one sells himself into utter slavery, there arises through voluntary exchanges a "very extensive domination" of some person by others. This intolerable situation is avoided by writing new terms of incorporation that for any stock no one already owning more than a certain number of shares may purchase it. As the process goes on, everyone sells off rights in themselves, "keeping one share in each right as their own, so they can attend stockholders' meetings if they wish." The inconvenience of attending such meetings leads to a special occupation of stockholders' representative. There is a great dispersal of shares such that almost everybody is deciding about everybody else. The system is still unwieldy, so a "great consolidational convention" is convened for buying and selling shares, and after a "hectic three days (lo and behold!)" each person owns exactly one share in each right over every other person, including himself. So now there can be just one meeting in which everything is decided for everybody. Attendance is too great and it's boring, so it is decided that only those entitled to cast at least 100,000 votes may attend the grand stockholders' meeting. And so on. Their social theorists call the system ''demoktesis'' (from Greek δῆμος ''demos'', "people" and κτῆσις ''ktesis'', "ownership"), "ownership of the people, by the people, and for the people," and declare it the highest form of social life, one that must not be allowed to perish from the earth. With this "eldritch tale" we have in fact arrived at a modern democratic state.
Question is, I really don't get this argument: OK, we arrive with situation similar to the modern democratic state in the end, but all decisions are quite libertarian! They decided to incorporate themselves, sold shares of themselves, and because there was burden of attendance, representatives are formed, and they decide. So what this seems to imply is that democracy can be formed out of libertarianism!
Or is Nozick saying that as humans are by themselves means, this contrasts with libertarian aims?