Termination of dynamic contracts in an equilibrium labor market model

In an equilibrium model of the labor market, workers and firms enter into dynamic contracts that can potentially last forever, but are subject to optimal terminations. Upon termination, the firm hires a new worker, and the worker who is terminated receives a termination contract from the firm and is then free to go back to the labor market to seek new employment opportunities and enter into new dynamic contracts. The model permits only two types of equilibrium terminations that resemble, respectively, the two kinds of labor market separations that are typically observed in practice: involuntary layoffs and voluntary retirements. The model allows for the simultaneous determination of a large set of important labor market variables including equilibrium unemployment and labor force participation. An algorithm is formulated for computing the model's equilibria. I then simulate the model to show quantitatively that the model is consistent with a set of important stylized facts of the labor market.