OTOH, what if you looked at this from the perspective of a dating site? The goal isn't merely to collectively own a thing; it's to find and meet people who you could get to know well enough to trust and participate in collective ownership.
* The idea is to get x unknown people to pool in for an object, correct? Imo, you're relying a lot on people being honest. What's to stop a person from never passing on the object? Furthermore, what about the time slice for which each person gets to keep an object?
* Where does a company coming in to all of this? What else do they do other than facilitate the transfer of the object?
Sorry if that's too many questions. I like the idea and it seems like something that could be beneficial in theory, but I have my doubts about it working in practice.