[quote=@LordZell]
<Snipped quote by Rhymer>

Well I was thinking there was no government but more that there are individual settlers but just like in the days of the New World Corporations funded them so they were all led by a corporation who's supplying them with things. 
[/quote]

Essentially the Wild West. Just no big bad federal government to muck things up. 

EDIT:[quote=@CowboyCommando]
Well then we could think of Elysium as the corporate example of what Mars should be. With its own puppet government either supported by Vulcan Tech, or United Terran Government themselves. Then we'll have other factions and groups dotted across Mars some basic and more tribal most atleast leased land under Corporate contract and taxed. This can create an array of opinions and factions while still being a little like the wild west.
[/quote]
 Hmmm...so who should control Elysium...?