We construct a model integrating the traditions of imperfect competiti
on macroeconomics and real business cycles. For this we study a dynami
c economy with optimizing households, firms and trade unions subject t
o stochastic shocks. We can derive closed form solutions far the behav
iour of all agents. It is found that the combination of capital shorta
ges and imperfect competition in labor markets can give rise to unempl
oyment, and that this unemployment is quite persistent, even when the
underlying shocks are not.