One problem I see would be, that some kind of automation could probably eliminate the coordination difficulties.
Not sure how easy or difficult it would be to automate this though. I'm lacking in the programming skill department. There would probably be the need for some quite complex calculations (including variables like r_shares, Voting Power, order of voting) involved... It's probably a lot more complex than the current way of gaming the system, which I'd see as a good thing.
Probably worth trying out especially if it actually leads to your conclusion. What an amazing idea, this social network thingy you propose! ;)