Imperfect competition, capital shortages and unemployment persistence

We construct a model integrating the traditions of imperfect competition macroeconomics and real business cycles. For this we study a dynamic economy with optimizing households, firms and trade unions subject to stochastic shocks. We can derive closed form solutions far the behaviour of all agents. It is found that the combination of capital shortages and imperfect competition in labor markets can give rise to unemployment, and that this unemployment is quite persistent, even when the underlying shocks are not.