I suspect we will initially see cooperate government (all hail administrator musk), but since mars is so open, I suspect once things get rolling a bit, we will see lots of different groups try lots of different types of government in different locations.

Maybe we will learn in a scientific way which methods of governments are better. haha who am I kidding, we will blame the other regions of mars with governments we dislike for a particular region's failings, just as we do here.