Oh honey, do you know what lobbying is? Or how Republicans get their funding? Or what dark money is? Private companies and their private interests have a vested interest in keeping minimum wage low, and exploit campaign finance to do so. (And they also bribe judges with vacations and speaking engagements and RVs.) Just because it's not the Wal-mart CEO deciding it himself does not mean that companies as whole don't do pro-business things and aren't the ones pulling the strings of their GOP puppets.

>Private companies are in charge of bidding for the "maximum wage", they have no obligation for providing a minimum as they serve their shareholders not the public, the government serves the public.

This doesn't support your point the way you think it might.