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BLS needs to have more surplus, discretionary money. Paying for internet (if you want them to have telephone / communications) and to play games. Paying for drugs. Paying for beer. If you can pay for entertainment, you can choose an austere, ascetic and frugal lifestyle and save and invest money.

If you don't have enough to pay for those things on BLS, and there are no job opportunities, then there will be massive crime. Without those, you're basically describing a wall-less prison situation. Especially as you automate away the low-end jobs, the ones that the most talentless and useless of society need. Expect crime or revolt.

No havenot will be able to keep nice, inherited property. Taxes in places that have taxes, or upkeep in places without - will eventually drag them down. Same if trying to sell access to it - since only the haves will have extra money to drop on tourism, and havenot will not have the nicest place.

Upset in banking industry. Can't get loans, unless you have a job. No spare money to save = means no bank accounts, either.

How is medical handled? Wide variance in needs. Drugs will get siphoned off, from legit needs for recreation.

Food: are you going to let them select their own food? If so, expect more obesity and health problems, as the cheaper food is worse for you (and you seem to be going after punishing people who're on BLS - so they won't be able to afford better). Choose to eat nice, or to not and remaining difference can allow you to save more than a few hundred in a year. If you control the food, and are keeping people hungry (or not fat) - so they can't choose to save the surplus money, expect obesity to be the mark of the haves, who're the only ones who can afford to overeat (your healthy food),

Clothing: same issues. People can save money if they control their own clothing budgets (choose to wear nice, or to not). If they don't have enough, they won't be warm enough in the winter, or can choose to go nude.

If you leave them no other affordable entertainment, expect a lot of sport-fucking. With all that entails. STDs, kids, etc. If you regulate this, expect revolt. Or, figure out your enforcement costs, since you're making a prison. Cheaper to put them all in cells.

Library use == way up.

Not much art for havenots - art requires tools (can be sold off or stolen for drug money), and materials. You might get drawing, as long as this is not becoming a paperless, digital society. Havenots don't get cameras, nor electronic devices. No money for service plans, and cost of devices without service plans are hundreds of dollars. So no digital art, and only long-hand writing, unless computers/typewriters in your libraries.

Same for musical instruments. Down to singing, rapping, and beatboxing.

Storytelling.

Demagoguery, and fun political bullshit. Assuming you don't disenfranchise the havenots. Rabble-rousing and revolt if you do take away the vote.

How do havenots pay for school? No way to advance your skills or career if you can't save up money to pay for school. If you've made school free (in such a society), expect it to be of low-quality. It is, after all, now just a form of entertainment to the bored masses. Not conducive to learning. And, why go to school? You'll get BLS anyways. Haves will get more out of school, even if you outlaw private schools. They can hire tutors, they can get better school supplies, they'll have more and better access to computers to do their schoolwork with. Etc. You will have to outlaw private schools, or the haves will just flee to them - like is happening now. The haves can afford to hire the most effective, and best teachers for their own schools or their own private use. Same with better equipment, heating and lighting, quiet classrooms, nice design elements (beautiful, restful surroundings), low student to teacher ratios, etc, etc.

The list goes on.