In the usual textbook model, in which there's imperfect competition, the economy is always on the Price-Setting(PS) curve, and to have a target unemployment level, above equilibrium unemployment, will cause an inflation bias.
First, is it possible for the economy to be on the wage-setting curve every time, but only in the PS curve in the medium-run? In this setting, would there be some leeway for a central bank to target also an unemployment level different from the equilibrium one, instead of just inflation, without causing inflation bias?
Any help would be appreciated.