Directed search and job rotation

In this note, we consider the impact of job rotation in a directed search model in which firm sizes are endogenously determined, and match quality is initially unknown. A large firm benefits from the opportunity of rotating workers so as to partially overcome mismatch loss. As a result, in the unique symmetric subgame perfect equilibrium, large firms have higher labor productivity and lower separation rate. In contrast to the standard directed search model with multi-vacancy firms, this model can generate a positive correlation between firm size and wage without introducing any exogenous productivity shock or imposing non-concave production function assumption.