Steady-state equilibrium in a model of short-term wage-posting

This paper takes the canonical Burdett-Mortensen model of wage- posting and relaxes the assumption that wages are set once-for-all, instead assuming they can only be committed one period at a time. It derives a closed-form solution for a steady-state Markov Rank-Preserving Equilibrium and shows how this relates to the canonical model and performs some comparative statics on it. By means of example it is shown that a Rank-Preserving Equilibrium may fail to exist and that this non-existence can be a problem for plausible parameter values. The paper discusses how the model can be modified to ensure existence of a Rank-Preserving equilibrium. It is also shown, by means of example, how the opposite, a Rank-Inverting Equilibrium may exist.