This is silly...of course it reduces poverty for those that do not lose their jobs...and if you operate under the assumption that anyone earning the minimum wage is living in poverty, then of course it would reduce the percentage of people living in poverty in aggregate. There is still a few major problems with it as policy: 1) For those that do lose their jobs, their effect is extremely negative. 2) For those with l…
Oh, they understand perfectly well about negotiations. Here's the employer reaction when they try to negotiate: "Well, I guess I'll fire you and hire this unemployed person instead."
The employer reaction when the minimum wage is raised is to say, well, guess I now have to pay those guys more.
So a minimum wage increase helps people perfectly well. You could argue that it would be even better if we as a society decided to eliminate unemployment by making sure that demand for labor was always high enough.