The government does not want a living wage. If they did then they would no longer reduce the purchasing power of our wages via inflation.
All the gov wants is to cause inflation to the maximum accepted extent possible, so that the old bills are easier to pay off. One way they could speed this process up is by increasing the minimum wage to be whatever is considered to be a "living wage." It's also the reason why many government employees have automatic "cost of living" wage increases in the pay.
Soon after any associated wage increases we would then see followed by increased costs of nearly everything as well as increased tax revenues into the gov.
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