Post crisis, several models have evolved and most of them are collegial, with participation from the central bank, the government and other regulators. There is another view that supports vesting the financial stability responsibility with central banks. This is the case with some countries, for example, UK and Malaysia. The reasons are not very difficult to see.
As I mentioned earlier, monetary policy and macroprudential policies need to work in tandem to ensure financial stability. Monetary policy is the domain of central banks. Further, central banks, by virtue of their mandate for conducting monetary policy, have a handle on macro economy and financial markets.