I'm with Tom on this,
If a Lord is hording food and say the Duke needs it he should send a request to force the Lord to give the food up the chain of command i.e. the King.
the King makes a choice and instructs the Judge to act accordingly, the Judge can then collaborate with the Banker to see just how much food he is
hording then make a judgement to fine him heavily or banish him.
Eventually the Lord gives in or gets banished and loses the region in which case the Duke then appoints a new Lord.
Problem solved, the perfect government doesn't exist it involves "working together" with government colleagues to accomplish goals.
Relying on giving a single position power to solve major realm issues won't help anything, except as a easy button that provides no need for IC social interaction.