Incomplete information, higher order beliefs, and price inertia

the long version

This paper investigates who incomplete information impacts the response of prices to nominal shocks. Our baseline model is a variant of the Calvo model in which firms observe the underlying nominal shocks with noise. In this model, the response of prices is pinned down by three parameters: the precision of available information about the nominal shock; the frequency of price adjustment; and the degree of strategic complementarity in pricing decisions. This result synthesizes the broader lessons of the pertinent literature. We next highlight that his synthesis provides only a partial view of the role or incomplete information. In general, the precision of information does not pin down the response of higher-order beliefs. Therefore, once cannot quantify the degree of price inertia without additional information about the dynamics of higher-order beliefs, or the agents' forecasts of inflation. We highlight the distinct role of higher-order beliefs with three extensions of our baseline model, all of which break the tight connection between the precision of information and higher-order beliefs featured in previous work. Keywords: Business cycles, fluctuations, heterogeneous information, informational frictions, noise, strategic complementarity, higher-order beliefs. JEL Classifications: C7, D6, D8.