This paper is an attempt to model the joint behavior of prices and wages in a way consistent with intertemporal optimization and rational expectations. Its ultimate goal is to construct a Phillips curve specification that is consistent both with U.S. data and with optimizing behavior, to respond to the well known 0Lucas critique.
The Phillips curve relationship has undergone a fruitful re exploration in recent years. The effort has been devoted to explain the relation between nominal and real variables in rigorously specified general equilibrium, optimizing models. For example, the so called New Keynesian1 Phillips Curve (NKPC), which describes current inflation as a function of expected future inflation and a measure of output gap, is derived in the context of a general equilibrium, optimizing model, that allows some form of nominal rigidities, either by assuming staggered price setting (for example, in the style of Calvo (1983) model), or by assuming staggered wage setting, or both (for ex. Erceg et al. 1999).