The Mage's Hat is a mid-ranked mystic headgear in Final Fantasy XII that boosts the wearer's Magick Resist by 21, Magick Power by 5, and MP by 50 (Zodiac) or 10 (original).
The Mage's Hat is sold for 2,500 gil in Eruyt Village and Mt Bur-Omisace. It is found as a treasure in Golmore Jungle's The Needlebrake (75% chance to appear, 40% chance for gil, 50% chance the item treasure is the Mage's Hat without the Diamond Armlet equipped), and Paramina Rift's Head of the Silverflow (70% chance to appear, 35% chance for gil, 50% chance the item treasure is the Mage's Hat without the Diamond Armlet equipped), as well as in the Trial Mode Stage 63 with the Diamond Armlet equipped. It is still rarely poached from the Wu.
The Mage's Hat is a mid-ranked mystic hat, giving 21 Magick Resist and 5 Magick Power, as well as 50 or 10 MP depending on version. Mystic armor offer magick-related bonuses that affect all types of magickal actions, from casting black magick to damage an enemy, to casting white magick to heal the party. Magick Power is also a factor when determining damage dealt by katana, staves, and maces.
In the Zodiac versions, White Mage, Red Battlemage, Black Mage, and Bushi can equip it, and so the Mage's Hat is only useful to buy if the player has chosen any of these License Boards for their party. In The Zodiac Age versions, after fighting Belias the player can choose two License Boards per party member; it is usually a good idea to pair jobs that use two different types of armor for versatility.