This paper studies the optimal determination of deposit insurance when bank runs are possible. We show that the welfare impact of changes in the level of deposit insurance coverage can be generally expressed in terms of a small number of sufficient statistics, which include the level of losses...

Banks are intrinsically fragile because of their role as liquidity providers. This results in under-provision of liquidity. We analyze the e¤ect of government guarantees on the interconnection between banks' liquidity creation and likelihood of runs in a model of global games, where banks.and...