Actually...small increases in the minimum wage have only minimal effect on employment as businesses simply absorb the added costs. Large increases...such as the ones that progressives constantly seek...do indeed cause job losses. Raising the minimum wage by several dollars an hour would effect those in the work force who can least afford to take the hit...teens and minorities.
Minimum Wages: The Concise Encyclopedia of Economics | Library of Economics and Liberty
Small increases have a small effect, large increases have a large effect. I'm not sure logically how that's contradicting me.
Companies do not BTW just "absorb the cost." Companies with minimum wage workers are companies that work on tight budgets. For a small increase, we can tighten/reduce hours, raise expectations and upgrade poorer workers. For a larger increase, we have to go to layoffs by redesigning procedures, automating, etc.
You ignored another big part of my point, that we can't just raise minimum wage workers wages. The ones who make a little more for whatever reason also have to get increases or you lose them. For a small increase, you can manage that ripple effect more by giving larger wage increases to all your lower wage workers and smaller ones to higher who aren't as irked because it was a small increase. For a larger increase, it's harder to mask that.
If the three businesses that I have owned, two had minimum wage workers, I sold both of those to focus on my main business. My lowest wage worker now is a part timer who makes $9.50 an hour. If minimum wage went up by $.50 then I may not need to give him much. But if it went up to $9, he's going to need a larger increase if I want to keep him. And then the hourly who make a little more are going to want more too.
Throw a tiny pebble in a pond. Then throw a larger one. The larger one will appear as if it had a larger portional splash because it's easier to observe. However, the pond didn't just absorb the smaller one just because you couldn't see the effects as clearly. They were there.
In business, we require risk adjusted return on our investments. Nothing ... is absorbed. No matter how much you want to believe that.
One other thing to think about is suppose we decide we want to keep our hourly workers and "absorb" the cost. Well, overall unemployment may not go up, but those workers over time will still lose their jobs. Suppose you buy a $25 toaster and you're completely happy. Government passes a law requiring that toasters cannot be sold for less than $40. So the cheapest toaster is now $40. Next time you need a toaster, are you going to buy a toaster worth $25 and pay $40? Or are you going to buy a toaster for $40 that's worth $40? The reason the person worth $7.25 had a job for $7.25 was that was what it was worth. People worth $9 didn't want the job and the company didn't want to pay $9. If the company has to pay $9, they will get a $9 employee, not keep the $7.25 one.