Unless a large enforcement presence is established, I would expect anarchy in pretty short order, as the have-nots will quickly become the majority.

Either you'll get martial law in some form, with detention camps and/or relocation routing, or you'll get riots and looting, or you get shades of the two mixed depending on the depth of the response by authorities.

As a resident, my first priority is to make myself the least desirable target of opportunity in my vicinity. Heads on poles always seems to be a good deterrent.