Abstract. This paper provides a model of directed search in which workers have private information about type at the point where they make their applications to firms. Firms are able to observe these types once workers apply. The paper shows that for any smooth wage distribution there is a continuation equilibrium in which unemployed workers choose a reservation wage which is a strictly increasing function of their type, then apply with equal probability to all positions that offer more than that wage. We con-sider a case where matching occurs ’quickly’, and show two main results. First, the wages at which workers are employed through-out their lives are correlated, but very imperfectly because of the fact that equilibrium involves a lot of...