"Federal minimum wage" is the wage rate under discussion, and it does qualify as "too low" under several criteria. Here is one:
Minimum wage is $5.15/hr. At 40 hr/wk that equals $206.00 before deductions (FICA, etc.). For a 4-week month, it equals $824. Gross, not net.
If rent where you live is $500 and up, how do you pay for transportation, food, utilities, medical, dental, clothing, hygiene, and emergencies with less than $300 each month?
I'm getting tired of refuting this. There is no connection between what a person might minimally need and wage rates. Trying to connect the two makes no sense. You've call this a "criteria." It's a dumb one as it's founded on a bad assumption.
Me: "If there are people willing to work for a given wage, then they are better off working at that wage than not."
Because if they weren't then they wouldn't have taken the job. All transactions in a free market economy are agreed upon by all parties by definition. Therefore at the end of any given transaction all parties are better off than had the transaction not occured or otherwise they would have not agreed to the transaction.
Not everyone lives in an urban area in which jobs are plentiful and competition favors higher wages. If, just for instance, you live in an area in which there are 15 restaurants, and you wait tables, it is possible to work at every one of those restaurants in turn and make the same wages in each. No one pays better, because no one has to pay better. The labor pool is limited, as are the opportunities.
This is an argument AGAINST minimum wage law. The number of jobs (especially low wage jobs) would RISE if the minimum wage law were repealed. Besides, this is the information age. Don't tell me your geography limits your job oppertunities. A large portion of the population telecommutes.
New people move into the community, and are willing to accept the low wages because they need a job now. They don't have much choice, and no real choice is offered. People who are fed up with the system leave town. The newcomers merely take their places. Nothing changes. Nothing has to change.
You've got part of the model correct. You seem to realize that the liklihood of a person moving away is impacted by the job oppertunities. Has it not occurred to you that low job oppertunities discourage people from moving in?
It becomes a system in which the profitable business owners never change, but the unskilled minimum wage employees change constantly.
Oh, of course. The US economy is one of the most stagnant in the world

.
How would the "free market" operate in such a place to make the wages go up instead of remaining at minimum wage as they have always done?
I'll assume you mean "real wages" not "nominal wages".
Formula for raising wages:
Short term:
1) Increase demand for labor. This would happen if industry output increased. (Firm expansion or new firm entries.)
2) Decrease of labor supply. People die, retire, move away and are not replaced.
Needless to say the opposite of those two things would lower wages.
Long term:
Increase productivity. This is done through one of two things: increased capital (new plant and equipment) or increased human capital (better educated work force) **** this has a secondary effect of lowering the costs of goods at the same time as raising wages i.e. SUPER GOOD
Super long term:
Increase in the savings rate. This allows for more investment in capital which leads to increased productivity which leads to increased real wages.
Aaron