Inflation, inequality, and welfare in a competitive search model

Abstract We study long-run inflation in a competitive-search model with heterogeneous agents. Under competitive search, individuals’ matching-probability (extensive) margins trade off against quantity (intensive) margins. With money and unfettered market participation, these trade-offs depend on inflation and individuals’ heterogeneous money holdings. We find that welfare falls as inflation increases. However, money-holdings inequality is not monotonic in inflation. As inflation rises, liquid-wealth inequality first falls. For sufficiently high inflation, the overall extensive-margin effect dominates the intensive margin, and liquid-wealth inequality rises. The model also poses a new computational challenge to which we propose a novel solution method.