Fixed-term employment contracts in an equilibrium search model

We develop a theoretical model of firm dynamics and unemployment and characterize equilibria with tenure dependent separation taxes. The model is a version of the Lucas and Prescott island model with undirected search. Two equivalent decentralizations are considered: one with spot labor markets and one with long-term employment relations. We model “temporary contracts” as the special case of a separation tax that only applies to workers with tenure higher than J. While in principle these contracts require a J-dimensional state space, equilibrium allocations solve a simple dynamic programming problem characterized by two-dimensional inaction set(s).