No, is imagine the market solution would basically be the same as the old debtors’ prisons. Where the criminal literally owed the victim certain restitution, and the “prison” they worked in basically earns the fee for keeping them imprisoned and earning for the victim or their family. 

Could also be interesting in the case of murder and similar crimes, the victim gets to decide what fee they are willing to pay for what conditions the prisoner gets. 🤔

Some ideas to muse on, but we’ve had market based prisons and common law before. There is no shortage of ideas to try and there’s a surprising history of stuff that has worked in the absence of direct political control. Some really interesting systems popped up in the Wild West (book recommendation: The Not so Wild, Wild West). Taxation is essentially both the laziest and most immoral way to sustain anything.