Dube's 2020 literature review (commissioned by the British government) gives a particularly good summary of the empirical evidence. I'd also recommend his 2019 paper in the Quarterly Journal of Economics, as well as 2021 NBER paper, which demonstrates that minimum wage increases are associated with higher wages and reduced poverty, without substantial employment effects.

There was also an interesting recent paper from Princeton, which found that minimum wage increases did NOT increase automation in fast food restaurants, which serves as a nice rebuttal to the conservative harping about self-serve kiosks at McDonald's.

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