We analyse a model of equilibrium directed search in a large labour market. Each worker, observing the wages posted at all vacancies, makes a fixed, finite number of applications, a. We allow for the possibility of ex post competition should more than one vacancy want to hire the same worker....

We study a search model where workers can send multiple applications to high and low productivity firms. Firms that compete for the same candidate can increase their wage offers as often as they like. We show that there is a unique equilibrium where workers mix between sending both applications...