I think you might be off just a little in your imagining of the future.
As proof I offer your local bank.
Did it get robbed today?
No roving bands of criminals being shot down in the street?
I see no reason that wouldn't persist in light of the cops not being your's, or anybody else's, frens.
This book outlines a way to keep crapitalism in form, but radically alter the functionality of accounting lives in currencies.
This short story does away with currencies, per se, but retains a value judgement of people based on performances.
In freedom one's rep is one's currency.
If you want academic treatments of the subject, I'd start with this guy, he does an adequate job.
Presuming you would want a way out of this dystopia we have brewing.