This paper studies bank runs in a model with coexistence of fiat money and private money. When fiat money is the only medium of exchange, there exist a bank run equilibrium and an equilibrium that achieves the optimal risk sharing. In contrast, when private money is also a medium of exchange,...

The general equilibrium model with incomplete financial markets (GEI) is extended by adding fiat money, fiscal and monetary policy and a cash-in-advance constraint. The central bank either pegs the interest rate or money supply while the fiscal authority sets a Ricardian or a non-Ricardian...