This paper addresses Alvin Roth’s findings of market contracting at times earlier than optimal for market participants, which Roth describes as market “unraveling,” a market failure he proposes to solve by designing centralized buyer‐seller matching programs. This paper shows that, while Roth’s engineering solutions are ingenious, the early contracting phenomena derive from labor market monopsony. Under monopsony, price is unavailable to clear the market; time of contract becomes the currency for working out market forces. Roth’s matching serves to shore up the monopsony and would be unnecessary if the monopsony were removed; a superior solution is to end the monopsony.

In the context of certain models, it is possible to infer the elasticity of labor supply to the firm from the elasticity of the quit rate with respect to the wage. We use this strategy to estimate the elasticity of labor supply for men and women workers at a chain of grocery stores, identifying separation elasticities from differences in wages and separation rates across different job titles within the firm. We estimate that women have lower elasticities, so a Robinson‐style monopsony model can explain reasonably well the lower relative pay of women in the retail grocery industry.

We study the compensation and productivity of more than 2,000 Methodist ministers in a 43‐year panel data set. The church appears to use pay‐for‐performance incentives for its clergy, as their compensation follows a sharing rule by which pastors receive approximately 3% of the incremental revenue from membership increases. Ministers receive the strongest rewards for attracting new parishioners who switch from other congregations within their denomination. Monetary incentives are weaker in settings where ministers have less control over their measured performance.