Takeaway (1): A big spread of estimates!

Looking at "direct" estimates, there's a median of approx 1.4. In a simple model this would imply a wage markdown of 58%.

The median *inverse* elasticity corresponds to a firm LS elasticity of 14, implying a much lower markdown of 7%
Takeaway (2): Why do estimates differ so much? A few things stand out:
(1) Inverse elasticities higher than directly estimated (as in prev. tweet)
(2) Recruitment elasticities higher than separation elasticities
(3) Elasticities for teachers, nurses, lower than other workers
Takeaway (3): How to reconcile all these together? Sokolova and Sorensen construct "estimates associated with best practices in the literature" from the separation elasticity estimates, obtaining an estimate of 7.1, which under a simple model would imply a wage markdown of 12%.
Important post-script: as per Berger, Herkenhoff, and @Simon_Mongey, even well-identified estimates of reduced-form elasticities =/= the *structural* elasticity that firms face! They show how one might map reduced-form estimates -> structural elasticities
https://www.nber.org/papers/w25719 
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