without minimum wage wouldn't simple Supply and Demand take over and cause wages to plummet for unskilled workers? Compare it to software engineering, lots of demand and not enough qualified people = well compensated software engineers
without the minimum you are correct that theoretically more jobs would exist, but at a pay rate so low that it would create an incentive not to work at all. the government assistance required for an employeed unskilled worker and an unemployed one would be about the same, whats the motivation to work?
This problem, if it arose, can rather quickly self-correct. If people choose not to work at all at the offered rate, you offer more, until you have the workers you need. (Similarly, if you need better workers, you offer more, as long as it is still profitable to do so.)
What if people band together into a sort of Union, and agree (in a binding way, with punishment for defectors) as a group (through some sort of majority vote, since consensus is impossible in a large group) to demand a certain wage?
Indeed, that's what we have. That doesn't refute the idea that the minimum wage law is destructive to general welfare (and especially the welfare of those specifically unemployed because of it). It just means it's a popular destructive law, like many other price controls.
without the minimum you are correct that theoretically more jobs would exist, but at a pay rate so low that it would create an incentive not to work at all. the government assistance required for an employeed unskilled worker and an unemployed one would be about the same, whats the motivation to work?