> You've latched on to "some people choosing", ignoring that once the desirable jobs are chosen, they are no longer an option. If there are 5 high quality jobs, 5 low quality jobs, 12 people, and 2 people choose a low quality job; then 3 people have no choice of job, and 2 have no job at all.
But none of those numbers were in the original scenario, and you've switched to low quality jobs from low paying jobs.
If there are 6 high paying jobs, 6 low paying jobs and 10 people, not all 10 people can have high paying jobs, but 4 or more of them might choose low paying jobs because of some countervailing advantage over the higher paying jobs.
The problem comes if you try to prohibit people from taking low paying jobs, because then you have 10 people and only 6 available jobs.
And even in your scenario, if you remove the option to take low paying jobs, what it does is cause 7 people to have no job instead of 2.
But none of those numbers were in the original scenario, and you've switched to low quality jobs from low paying jobs.
If there are 6 high paying jobs, 6 low paying jobs and 10 people, not all 10 people can have high paying jobs, but 4 or more of them might choose low paying jobs because of some countervailing advantage over the higher paying jobs.
The problem comes if you try to prohibit people from taking low paying jobs, because then you have 10 people and only 6 available jobs.
And even in your scenario, if you remove the option to take low paying jobs, what it does is cause 7 people to have no job instead of 2.