Reduced form wage equations in the credible bargaining model

We derive an explicit solution for the wage from an alternating-offer wage bargaining game à la Hall and Milgrom (2008) under a plausible parameter restriction. This solution is simple, micro-founded and permits a transparent analysis of the driving forces of wages. When it is used in a stationary steady-state search and matching model, the value of all endogenous variables can be expressed as a function of the parameters of the model and the exogenous variables. In a dynamic setup, the solution is much simpler to implement than the one found in the original paper of Hall and Milgrom (2008).