A Sticky-Dispersed Information Phillips Curve: A model with partial and delayed information

We study the interaction between dispersed and sticky information by assuming that firms receive private noisy signals about the state in an otherwise standard model of price setting with sticky-information. We show that there exists a unique equilibrium of the incomplete information game induced by the firms’ pricing decisions, and derive the resulting Sticky-Dispersed Information (SDI) Phillips curve. The (equilibrium) aggregate price level and the inflation rates we derive depend on all values they have taken in the past. We perform several numerical simulations to evaluate how the Sticky-Dispersed Phillips curve we derive respond to changes in the main parameters of the model.