Minister priorities are goals that the player can have their government ministers focus on. Each priority will influence how ministers run their departments, together with the Minister's political ideology and skill. Obviously each priority has a benefit and a cost--these are explained in the text below each priority.
Individual ministers may take very different steps to implement a priority. For example, the State Department priority "[Improve] Domestic Approval Rating" may involve different changes to the player's policy depending on if the Minister is of Conservative, Moderate or Liberal outlook.
If a Minister sees a problem in the priorities assigned to it, it will display a list of concerns.