We use field experiments to study gender differences in labor supply to the firm and market. Market-level Frisch elasticities govern how labor supply and therefore output responds to temporary shocks in productivity. Firm substitution elasticities determine wage markdowns and wage gaps in markets with frictions. We find that women are twice as elastic as men to the market, increasing hours worked by seven percent in response to a ten percent wage increase. However, we find no evidence that women are less likely to switch between firms in response to changes in relative wages.

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