This paper develops a dynamic model of seigniorage in whicheconomies' equilibrium paths reflect the ongoing strategicinteraction between an optimizing government and a rational public.The model extends existing positive models of monetary policy andinflation by explicitly incorporating the intertemporal linkagesamong budget deficits, debt, and inflation. A central finding is thatthe public's rational responses to government policies may wellcreate incentives for the government to reduce inflation and thepublic debt over time. A sufficiently myopic government may, however,provoke a rising equilibrium path of inflation and public debt.