The solution is pretty simple, tax the rich and give it to the poor. Hard to put into practice due to the power dynamics involved, but let's not pretend it's this great mystery with no possible solution.
but the guy can work cheaper if he has more money, no? If the rich, through a series of steps including taxes and a debt relief program, pays that guy's mortgage, he can work cheaper, breaking the deadlock, no? Or am I misunderstanding the problem you're stating?