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This paper studies the cyclical dynamics of skill mismatch and quantifies its impact on labor productivity. We build a tractable directed search model, in which workers differ in skills along multiple dimensions and sort into jobs with heterogeneous skill requirements. Skill mismatch arises because of information frictions and is prolonged by search frictions. Estimated to the United States, the model replicates salient business cycle properties of mismatch. Job transitions in and out of bottom job rungs, combined with career mobility, are key to account for the empirical fit. The model provides a novel narrative for the scarring effect of unemployment.In a regime of ignorance, Enrico Fermi would have been a gardener, Von Neumann a checkout clerk at a drugstore. (Stigler 1962) We are grateful for helpful comments and suggestions from the editor and four anonymous referees as well as from

This paper uses a measure of skill mismatch to separate wage flexibility from confounding variation in wages driven by differences in job quality over the business cycle. I first show that the high cyclicality of job switchers' wages goes beyond cyclical movements in skill mismatch. Then I uncover large differences in wage cyclicality across the skill mismatch distribution. Among incumbent workers, wages are acyclical in good matches but procyclical in poor matches, in particular for overqualified workers. (JEL E32, J24, J31, J41)

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