The recent financial crisis has shown that many financial institutions may be systemically relevant. Their bankruptcy would cause significant costs for the overall economy. However, a clear definition of systemic risks still does not exist. Thus, the decision, whether an institution is, or is not systemically relevant is in the end made by policy makers. This paper takes a closer look at the incentives available to policy makers and their influence on the bailout decision. In the model presented here it is possible to show, that too many financial institutions get bailed out, when assuming that policy makers tend to be more risk-averse than socially optimal. The costs due to this misallocation of resources can be significant