The concern is that wage increases will increase rate of inflation increase, such that the people are worse off than before, despite getting more dollars.
See for example this contrivance:
Joe makes 10$/hr, and gets a 10% increase in pay, due to an increase in wages across the board.
Retailers all want a slice of that increase, and shoot for the full 10%; All of Joe's itemized expenses increase 10% EACH.
We will say that Joe makes ~20k/yr before the increase, and makes ~23k/yr after the increase.
He paid ~173$/week on groceries (out of 400$ gross, or about 43% of his GROSS pay), which we will say had the following breakdown:
Milk (2$/gal)
Eggs (.36$/doz cheap store brand)
Sugar (3$/lb)
Flour (2.5$/lb)
Breakfast cereal (2.5$/box, 3 boxes)
Meat (3$/lb, 10lb)
Vegetables (5$/lb, 20lb)
Coffee (8$/bag)
Household cleansers (4$/bottle, 5 bottles [inculdes detergent, softener, allpurpose, dish soap, etc.])
EACH item goes up 10%, because of market greed.
They now cost this much.
Milk (2.2$/gal)
Eggs (.39$/doz cheap store brand)
Sugar (3.3$/lb)
Flour (2.7$/lb)
Breakfast cereal (2.7$/box, 3 boxes)
Meat (3.3$/lb, 10lb)
Vegetables (5.5$/lb, 20lb)
Coffee (8.8$/bag)
Household cleansers (4.4$/bottle, 5 bottles [inculdes detergent, softener, allpurpose, dish soap, etc.])
So his NEW bill is ~190.5$/wk (out of 440$/wk gross, which is still ~43% of his gross pay
His pay raise DID NOTHING.
BUT-- perhaps that pay raise put Joe into a new tax bracket. Now he takes home less of his gross than he did before. He is WORSE OFF than before the rate increase.
Perhaps the increase puts Joe higher than the cutoff for a government assistance program he was previously using, and now cannot use it anymore. Again- WORSE OFF than before.
That's just for Joe, (and others like him) earning exactly minimum wage.
What happens to the shmucks who make more than that?
Bill was making 11/hr before the new increase; His pay after the increase REMAINS UNCHANGED.
All his expenses went up 10%.
This latter is what is meant by "wages have remained unchanged." People making 20/hr before a min wage increase continue making 20/hr after the increase. People at the bottom get more dollars, but that only moves these people DOWN.
What the fed needs to do, is to decouple inflation from min wage increase, by stating that retailers CANNOT attempt to gobble down the full value increase with a price hike.
So that say, with the 10% min wage increase, retail prices can only be raised 5%. That would give Joe actually increased spending power after all his expenses. Good luck getting that past lobbyists though. (you know, the whole 'But muh FREE MARKETS!! Government interference! SOCIALISM!!!" schtick)
They also need to state that with an increase in min-wage, *ALL WAGES* must increase the same percentage, not just the min-wage earners' wages.
The combination would actually put buying power on the rise again. It would also come at the direct expense of retailer and service provider PROFITS. They would all scream bloody murder, and would increasingly seek to eliminate domestic labor positions with renewed vigor.
Basically, the real solution is to somehow force enterprise to accept lower profits, across the board, in all sectors, in all industries, and leave them with no option but to accept that outcome. Good luck with that.