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> Raising the minimum wage allows for a (very) short term benefit, but in the medium and long run, it drives inflation up.

This is probably strictly true as written, but misleading, as it also provides a medium and long term benefit, as it (alone) drives inflation up less than the ratio by which the minimum wage was increased.

> The minimum wage and inflation are effectively proportional.

No, they aren't. Even price levels, which could be more reasonably expected to have some relation to minimum wage, aren't simply proportional. If inflation was proportional to minimum wage, places that didn't have a minimum wage would have zero inflation; if price levels were proportional to minimum wage, places that didn't have a minimum wage would have zero price levels. Neither of these is the case.



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