A Sticky Information manifesto
Ricardo Reis' new NBER working paper (ungated version here) is exactly that.
The SIGE (sticky information general equilibrium) model does away with the various real rigidities generally included in DSGE (dynamic stochastic general equilibrium) models like habit formation in consumption, and various ad-hoc-ish adjustment costs with the single assumption that many people only update their information sets sporadically.
The paper outlines a full GE model, and then estimates it using Bayesian computational methods for the US and the Euro-zone.
According to Reis: "The end result is a laboratory that is
rich enough to account for the dynamics of at least five macroeconomic series (inflation,
output, hours, interest rates, and wages), and which can be used to inform applied