Two thirds of US unemployment volatility is due to fluctuations in workers' job finding rate. In search and matching models, aggregate productivity shocks generate such fluctuations: through firms recruiting effort, they affect the rate at which workers and firms come into contact....

We consider an equilibrium search model with on-the-job search where firms set wages. When an employee receives an outside job offer, it is optimal for the employer to try to retain the employee by matching the offer. This results in a wage increase for the worker. However, if workers are able...

We show that equilibrium matching models imply that standard estimates of the matching function elasticities are exposed to an endogeneity bias, which arises from the search behavior of agents on either side of the market. We offer an estimation method which, under certain structural assumptions...