Monetary policy for rationally inattentive economies with staggered price setting

The paper examines the optimal monetary policy when firms are constrained by information processing capability and infrequent price adjustments. Firms' information processing limit gives rise to imperfect knowledge about macroeconomic aggregates and endogenous information learning contingent on the monetary policy. Staggered price setting introduces the observed price duration and additional policy tradeoffs resulting from the interactions between nominal rigidities and imperfect information processing. The integrated model implies an optimal policy that commits to complete price stabilization in response to natural rate shocks but not in response to markup shocks. In the presence of markup shocks, it is optimal for the central bank to focus on price stabilization in the initial periods following markup shocks and shifts the emphasis to output gap stabilization later. Moreover, larger information capacity, stronger complementarities and more persistent shocks require more aggressive price stabilization in the short-run.