I often heard minimum wage discussions and typically a single figure is presented (where I live it is the gross monthly value, elsewhere I hear about the gross hourly rate).
However, there are great difference in regard to cost of living within a single country (or even region), so having a single value seems like a "one size fits all" solution.
This Pew Research Center article deals with a specific case from US and I will narrow my question to US to make it more answerable:
One factor complicating the minimum-wage discussion is that the cost of living varies widely – not just from state to state but within individual states, something that’s especially true in large, diverse states such as California and New York.
The article dives into some financial figures but the bottom line is: while the cost of living can be quite different, there is a single value for the minimum wage.
Theoretically, the minimum wage could be somehow tied to the cost of living. I think it could work similarly to different property taxes based on where you live.
Why is minimum wage not tied to the cost of living or a similar factor?